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Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
1/34
Presentation of PhD project:
Numerical Modelling of Material Flow in the
Resin-injection Pultrusion Process
Kompositsektionens Årsmøde 2021
Michael Sandberg
Technical University of Denmark
DTU Mechanical Engineering
Section of Manufacturing Engineering
Process Modelling Group
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
2/34
Numerical modelling of material flow in the resin-injection pultrusion process
(handed in November 2020)
PhD candidate:
Michael Sandberg
Supervisor:
Associate professor, Jon Spangenberg
Technical University of Denmark
Co-supervisors:
Professor, Jesper H. Hattel
Technical University of Denmark
Assistant professor, Ismet Baran
University of Twente
Project partners: External research stay:
Funding:
(Grant no. DFF-6111-00112)
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
3/34
Short CV: Michael Sandberg
Specialisation: Manufacturing engineering (polymers + composites)
Education:
• PhD Mechanical engineering, Technical University of Denmark Q3, 2017 - Q4, 2020
• MSc Mechanical engineering, Technical University of Denmark Q3, 2013 - Q2, 2015
• BEng Mechanical engineering, Aarhus University, Denmark Q3, 2010 - Q1, 2013
Experience:
• Assistant professor, Mechanical and Production Engineering, Aarhus University, Denmark Q1, 2022 –
• Postdoc, DIGIT, Aarhus University, Denmark Q4, 2020 – Q4, 2021
• Academic guest, CMASlab, ETH Zürich, Switzerland Q1, 2019 – Q2, 2019
• Engineer, Composites engineering and technology, LM Wind Power, Denmark Q3, 2015 – Q3, 2017
• Visiting research student, Applied mechanics lab, National University of Singapore Q3, 2014 – Q4, 2014
• Various smaller positions as engineer/assistant in DK industry; 2009-2015
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
8/34
Introduction
Pultrusion die
Figure: Cut-view of a resin-injection pultrusion die.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
14/34
Introduction
Research objectives
• Predictive modelling for design and optimisation;
• A mature process ready for the next level;
• Equip the pultrusion industry with tools for Industry 4.0;
• Material flow comes with inherent complexity due to multiple physics interactions, current
state-of-the-art is weak on multiphysics modelling and the associated experimental verification.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
16/34
Introduction
Background – modelling approaches
Semantic models
(based on “training data”)
First-principle models
(based on physics)
Prediction
Material
properties
Geometry
Process
conditions
Data
Prediction
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
17/34
Introduction
Overview of presentation
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
18/34
Part 1-2: Resin impregnation, heat transfer, and cure
• Curing kinetics and chemorheological behaviour of the resin system;
• Impregnation flow – how the resin system saturates the dry fibre reinforcement; and
• Results – simulations and measurements from the pultrusion line
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
19/34
Part 1-2: Resin impregnation, heat transfer, and cure
Material characterisation: Curing kinetics and
chemorheology
0 0.2 0.4 0.6 0.8 1
0
1
2
·10 2
Degree-of-cure, ↵ [-]
(a)
Cure
rate,
R
↵
[s
1
]
70 C
90 C
110 C
120 C
130 C
Experiment
0.4
0.6
0.8
1
)
Degree-of-cure,
↵
[-]
70 C
90 C
110 C
120 C
Figure: Cure rate vs. cure degree (left) and development of viscosity in dynamic test (right, constant temperature
ramp). (credit to PhD student, Onur Yuksel)
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
19/34
Part 1-2: Resin impregnation, heat transfer, and cure
Material characterisation: Curing kinetics and
chemorheology
0 0.2 0.4 0.6 0.8 1
0
1
2
·10 2
Degree-of-cure, ↵ [-]
(a)
Cure
rate,
R
↵
[s
1
]
70 C
90 C
110 C
120 C
130 C
Experiment
0.4
0.6
0.8
1
Degree-of-cure,
↵
[-]
70 C
90 C
110 C
120 C
0 500 1,000 1,500
0
1
2
(a)
Storage-
(G
0
)
and
loss
modulu
2.5 C/min
5.0 C/min
7.5 C/min
G’
G”
0 500 1,000 1,500
100
101
102
103
104
Time, t [s]
(b)
Complex
viscosity
[Pa·s]
2.5 C/min
5.0 C/min
7.5 C/min
Experiment
Figure: Cure rate vs. cure degree (left) and development of viscosity in dynamic test (right, constant temperature
ramp). (credit to PhD student, Onur Yuksel)
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
20/34
Part 1-2: Resin impregnation, heat transfer, and cure
Impregnation flow: Characterisation of permeability
Local low volume fraction
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High degree of uniformity
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Conventional
unidirectional
roving<latexit
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Air-texturised
roving<latexit
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3D-view
<latexit sha1_base64="FYHnrmNKWQD1cXi6LvqS0CmyqRM=">AAACD3icZVDNSsNAGPxS/2r9q3r0EloEL5akPeixoAePFewPtKFstl/apZtNyG6qIfQhetUH8SZefQSfwxcwaYOYdmBhmPmGHcb2OZPKML61wtb2zu5ecb90cHh0fFI+PetILwwotqnHvaBnE4mcCWwrpjj2/ACJa3Ps2tO71O/OMJDME08q8tFyyVgwh1GiEqnbuL+eMXwelqtGzVhC3yRmRqqQoTUs/wxGHg1dFIpyImXfNHxlxSRQjHKclwahRJ/QKRljP6GCuCiteFl3rl8mykh3vCB5QulL9X8iJq6UkWsnly5RE7nupeKfV8q5/iSSjMpcgVix5Pe1Tsq5tWIm/FChoKtKTsh15enpSno+/5L2lPNkJXN9k03SqdfMRs18rFeblWyvIlxABa7AhBtowgO0oA0UprCAV3jTFtq79qF9rk4LWpY5hxy0r190IZ0E</latexit>
Disordered fibre architecture
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x2
<latexit sha1_base64="S0Sk1ThKXovZg/cQZHSYwvU5zgE=">AAACC3icdVDNasJAGPxi/6z90bbHXhal0FNIrGC9Cb30aGn9AQ2yWTe6uNmE7KYowUfw2j5Ib6XXPkSfoy/QRNNihA4sDDPfsMPYPmdSGcaXltvZ3ds/yB8Wjo5PTouls/OO9MKA0DbxuBf0bCwpZ4K2FVOc9vyAYtfmtGtP7xK/+0wDyTzxpOY+tVw8FsxhBKtYepwNq8NSxdSNFZChN2LUaylpmOjXqkCK1rD0PRh5JHSpUIRjKfum4SsrwoFihNNFYRBK6mMyxWPaj6nALpVWtKq6QFexMkKOF8RPKLRSNxMRdqWcu3Z86WI1kdteIv55hYzrT+aSEZkpECkW/77VSTm3VsSEHyoqyLqSE3KkPJQshLL5WdJTLjZX+p90qrp5o5sPtUqznO6Vh0sowzWYUIcm3EML2kBgDEt4gVdtqb1p79rH+jSnpZkLyED7/AE8PZvm</latexit>
x3
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x2
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x3
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x1
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x1
<latexit sha1_base64="DYfKP4Ak2kJYdvflhg8dAw1ZUnY=">AAACC3icdVDNSsNAGPxS/2r9q3r0srQInkKihdpbwYvHiqYttKFstpt26WYTshtpCX2EXvVBvIlXH8Ln8AVM2ihNwYGFYeYbdhgn4Ewqw/jSClvbO7t7xf3SweHR8Un59Kwt/Sgk1CI+98OugyXlTFBLMcVpNwgp9hxOO87kLvU7zzSUzBdPahZQ28MjwVxGsEqkx+nAHJSrpm4sgQy9kaBey0jDRL9WFTK0BuXv/tAnkUeFIhxL2TONQNkxDhUjnM5L/UjSAJMJHtFeQgX2qLTjZdU5ukyUIXL9MHlCoaW6noixJ+XMc5JLD6ux3PRS8c8r5dxgPJOMyFyBWLHk941Oyr21YyaCSFFBVpXciCPlo3QhlM9P055yvr7S/6R9rZs3uvlQqzYr2V5FuIAKXIEJdWjCPbTAAgIjWMALvGoL7U171z5WpwUty5xDDtrnDzqYm+U=</latexit>
x3
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x2
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x3
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x2
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x3
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x1
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x1
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x3
<latexit sha1_base64="kjgU0hVQYR56obUMqJ8XQ4ge6S0=">AAACC3icdVDNasJAGPxi/6z90bbHXhal0FNIqmC9Cb30aGn9AQ2yWTe6uNmE7KYowUfw2j5Ib6XXPkSfoy/QRNNihA4sDDPfsMPYPmdSGcaXltvZ3ds/yB8Wjo5PTouls/OO9MKA0DbxuBf0bCwpZ4K2FVOc9vyAYtfmtGtP7xK/+0wDyTzxpOY+tVw8FsxhBKtYepwNq8NSxdSNFZChN2LUaylpmOjXqkCK1rD0PRh5JHSpUIRjKfum4SsrwoFihNNFYRBK6mMyxWPaj6nALpVWtKq6QFexMkKOF8RPKLRSNxMRdqWcu3Z86WI1kdteIv55hYzrT+aSEZkpECkW/77VSTm3VsSEHyoqyLqSE3KkPJQshLL5WdJTLjZX+p90bnSzqpsPtUqznO6Vh0sowzWYUIcm3EML2kBgDEt4gVdtqb1p79rH+jSnpZkLyED7/AE94pvn</latexit>
x2 x3 cross section
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x1 x2 cross section
<latexit sha1_base64="YZp1VDyhuz3ib+tL52BY81Kf6ao=">AAACIXicZVDLSsNAFJ3UV62vqgsXboa2ghtLUhe6LLhxWcE+oA1hMp20QyczIXciLSFf061+iDtxJ36GP2DaBjHtgYHDOfdyzxw3EBy0aX4Zha3tnd294n7p4PDo+KR8etYBFYWUtakSKuy5BJjgkrU114L1gpAR3xWs604eFn73hYXAlXzWs4DZPhlJ7nFKdCo55Yva1LFupk6jhmmoADAwunKqZt1cAm8SKyNVlKHllH8GQ0Ujn0lNBQHoW2ag7ZiEmlPBktIgAhYQOiEj1k+pJD4DO15+IMFXqTLEngrTJzVeqv83YuIDzHw3nfSJHsO6txD/vFLODcYz4BRyAWLN0+trmbR3b8dcBpFmkq4ieZHAWuFFbzi/P13khCRtyVrvZJN0GnXrtm49NarNStZXEV2iCrpGFrpDTfSIWqiNKErQHL2iN2NuvBsfxudqtGBkO+coB+P7F6Hao1s=</latexit>
High degree of fibre agglomerations
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Figure: 3D and cross-sectional views of cutouts from a composite part manufactured using conventional UD-rovings
and air-texturised rovings. These images were prepared by use of X-ray µ-CT (credit to PhD student, Filip Bo
Salling).
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
20/34
Part 1-2: Resin impregnation, heat transfer, and cure
Impregnation flow: Characterisation of permeability
Fibre guides
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Testing area
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300 250 mm2
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Area for application
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50 250 mm2
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(b)
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(a)
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of powder soluble,
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heat, and clamps
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Injection hole
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(b)
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Figure: (a) Rig for sample preparation. (b) One prepared sample (air-texturised rovings) for impregnation tests.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
20/34
Part 1-2: Resin impregnation, heat transfer, and cure
Impregnation flow: Characterisation of permeability
(a)
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(b)
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x1
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x3
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x1
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x1
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x2
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Inlet
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Bottom plate (380 380 mm2
)
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60
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<latexit sha1_base64="YhteX1eLrvAAPPzSUHfyDInEr88=">AAACDHicZVDNSsNAGPzib61/VY9elhbBU0lU0GPBi8cK9gfaUDbbTbt0s1nybcQS+gq96oN4E6++g8/hC5i0QUw7sDDMfMMO42kp0Nj2t7WxubW9s1vaK+8fHB4dV05O2xjGEeMtFsow6noUuRSKt4wwknd1xGngSd7xJveZ33nmEYpQPZmp5m5AR0r4glGTSX2NYlCp2XV7AbJOnJzUIEdzUPnpD0MWB1wZJiliz7G1cRMaGcEkn5X7MXJN2YSOeC+ligYc3WTRdUYuUmVI/DBKnzJkof5PJDRAnAZeehlQM8ZVLxP/vHLB1eMpCoaFAokR6e8rnYx/5yZC6dhwxZaV/FgSE5JsIlLMv2Q9cZau5Kxusk7aV3Xnuu483tQa1XyvEpxDFS7BgVtowAM0oQUMxjCHV3iz5ta79WF9Lk83rDxzBgVYX7/VHZwx</latexit>
30
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120
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r = 60mm
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r = 120mm
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Impregnated fabric
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150
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Pressure sensor
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Inlet hole (r = 7.5 mm)
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x2
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Flow front
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x2
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p1
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p2
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p3
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p4
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p5
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p6
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Inlet hole (rin = 7.5 mm)
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Pressure sensor, pi
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Inlet, pin
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Figure: (a) Permeability measurement cells designed for radial impregnation tests. (b) Schematic of the pressure
sensors and the radial flow that takes place inside the cavity of the permeability cell.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
21/34
Part 1-2: Resin impregnation, heat transfer, and cure
Results – simulations
0
2
4
6
8
10
Pressure [bar]
0
0.2
0.4
0.6
0.8
1
Degree-of-cure [-]
0
40
80
120
160
200
Temperature [ C]
Flow front
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Resin inlet
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Pultrusion die
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Die entrance
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Die exit
<latexit sha1_base64="DXMuWZIK0th2L1zoCYLf2pZTVy0=">AAACEHicZVDNSsNAGPxS/2r9q3r0srQInkpSD/VY0IPHCvYH2lA22y/t0s0mZDfSEvoSveqDeBOvvoHP4QuYtEFMO7AwzHzDDuMEgittmt9GYWd3b/+geFg6Oj45PSufX3SUH4UM28wXfthzqELBJbY11wJ7QYjUcwR2nel96ndfMFTcl896HqDt0bHkLmdUJ1LvgSPBGdfDctWsmSuQbWJlpAoZWsPyz2Dks8hDqZmgSvUtM9B2TEPNmcBFaRApDCib0jH2Eyqph8qOV30X5DpRRsT1w+RJTVbq/0RMPaXmnpNcelRP1KaXin9eKecGk7niTOUKxJonv2900u6dHXMZRBolW1dyI0G0T9KZSD4/S3uqRbKStbnJNunUa9ZtzXqqV5uVbK8iXEEFbsCCBjThEVrQBgYClvAKb8bSeDc+jM/1acHIMpeQg/H1C4SinZs=</latexit>
Profile
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Curing from centre
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Curing from die-walls
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Injection of fresh resin
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x2
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x3
<latexit sha1_base64="0v8P1b880hnfVn3NmQBl6Tq/XpY=">AAACC3icZVDNSsNAGPy2/tX6V/XoJbQInkpiBT0WvHisaH+gDWWz3bRLN5slu5GW0EfoVR/Em3j1IXwOX8BNG8S0AwvDzDfsMJ7kTGnb/kaFre2d3b3ifung8Oj4pHx61lZhHBHaIiEPo66HFeVM0JZmmtOujCgOPE473uQ+9TsvNFIsFM96Jqkb4JFgPiNYG+lpOqgPylW7Zi9hbRInI1XI0ByUf/rDkMQBFZpwrFTPsaV2ExxpRjidl/qxohKTCR7RnqECB1S5ybLq3Lo0ytDyw8g8oa2l+j+R4ECpWeCZywDrsVr3UvHPK+VcOZ4pRlSuQKKZ+X2tk/bv3IQJGWsqyKqSH3NLh1a6kJXPT9Oeam5WctY32STt65pTrzmPN9VGJdurCBdQgStw4BYa8ABNaAGBESzgFd7QAr2jD/S5Oi2gLHMOOaCvX6sXm4k=</latexit>
x1
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Initial fibre temperature
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Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
22/34
Part 1-2: Resin impregnation, heat transfer, and cure
Results – simulations
1 0.5 0 0.5 1 1.5 2 2.5 3 3.5
0
2
4
6
8
10
1 2
⇥3c
⇥
3e
⇥
4
6 7
(a)
Pressure
[bar]
Inside die
Outside die
1 0.5 0 0.5 1 1.5 2 2.5 3 3.5
50
100
150
⇥
Th1
⇥
Th2
⇥
Th3
1 2
⇥
3c
⇥
3e
⇥
4
⇥
5
6 7
(b)
Temperature
[
C]
1 0.5 0 0.5 1 1.5 2 2.5 3 3.5
0
0.2
0.4
0.6
0.8
1
1 2
⇥
3c
⇥
3e
⇥
4
6 7
Position, x1 [m]
(c)
Degree-of-cure
[-]
Figure: Stationary profiles: An overview of how the pressure, temperature, and the degree-of-cure developed towards,
inside, and after the pultrusion die.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
23/34
Part 1-2: Resin impregnation, heat transfer, and cure
Results – experiments
1 0.5 0 0.5 1 1.5 2 2.5 3 3.5
0
50
100
150
200
⇥
(⇤)
⇥
(⇤⇤)
Temperature
[
C]
(a) 100% speed
Inside die Outside die
Simulation Experiment 1
Experiment 2
1 0.5 0 0.5 1 1.5 2 2.5 3 3.5
0
50
100
150
200
Temperature
[
C] (b) 110% speed
Simulation Experiment 1
Experiment 2 Experiment 3
1 0.5 0 0.5 1 1.5 2 2.5 3 3.5
0
50
100
150
200
Position, x1 [m]
Temperature
[
C]
(c) 120% speed
Simulation Experiment 1
Experiment 2
Figure: Comparison of temperature profiles obtained from the simulation model and measurements from an industrial
pultrusion line at di↵erent pulling speeds.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
24/34
Part 3: Flow-induced fibre compaction
• Fibre-deformation induced by resin flow; and
• Associated e↵ects on the material flow in resin-injection pultrusion processes.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
25/34
Part 3: Flow-induced fibre compaction
Material characterisation: Compaction behaviour
”Pragmatic” approach, measurement of the fibre material’s compaction behaviour:
h
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x1
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x2
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x3
<latexit sha1_base64="WlbX5R0NdkcUQvWyx6dnrAswOAs=">AAACC3icdVDNSsNAGPxS/2r9q3r0slgETyGxLW1vBS8eK9ofaEPZbDft0s0mZDfSEvoIveqDeBOvPoTP4QuYpFVMwYGFYeYbdhjb50wqw/jUclvbO7t7+f3CweHR8Unx9KwjvTAgtE087gU9G0vKmaBtxRSnPT+g2LU57drT28TvPtFAMk88qrlPLRePBXMYwSqWHmbD8rBYMvRGo9KomighVdMop6RSr9WRqRspSrBGa1j8Gow8ErpUKMKxlH3T8JUV4UAxwumiMAgl9TGZ4jHtx1Rgl0orSqsu0FWsjJDjBfETCqXq30SEXSnnrh1fulhN5KaXiL9eIeP6k7lkRGYKRIrFv290Uk7dipjwQ0UFWVVyQo6Uh5KFUDY/S3rKRbzSzxTof9K50c2ybt5XSs3L9V55uIBLuAYTatCEO2hBGwiMYQnP8KIttVftTXtfnea0deYcMtA+vgFW5Zv2</latexit>
Vfc1
. . .
Vfc4
c1
c2
c3
c4
Volume fraction
Compaction
pressure
Loading
Unloading
Figure: Experimental setup and stress-volume fraction curves for compaction behaviour
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
26/34
Part 3: Flow-induced fibre compaction
Results – simulations
x2
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0JZmmtOujCgOPE473uQ+9TsvNFIsFM96Jqkb4JFgPiNYG+lpOqgPylW7Zi9hbRInI1XI0ByUf/rDkMQBFZpwrFTPsaV2ExxpRjidl/qxohKTCR7RnqECB1S5ybLq3Lo0ytDyw8g8oa2l+j+R4ECpWeCZywDrsVr3UvHPK+VcOZ4pRlSuQKKZ+X2tk/bv3IQJGWsqyKqS
H3NLh1a6kJXPT9Oeam5WctY32STtes25rjmPN9VGJdurCBdQgStw4BYa8ABNaAGBESzgFd7QAr2jD/S5Oi2gLHMOOaCvX6lym4g=</latexit>
x3
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0JZmmtOujCgOPE473uQ+9TsvNFIsFM96Jqkb4JFgPiNYG+lpOqgPylW7Zi9hbRInI1XI0ByUf/rDkMQBFZpwrFTPsaV2ExxpRjidl/qxohKTCR7RnqECB1S5ybLq3Lo0ytDyw8g8oa2l+j+R4ECpWeCZywDrsVr3UvHPK+VcOZ4pRlSuQKKZ+X2tk/bv3IQJGWsqyKqS
H3NLh1a6kJXPT9Oeam5WctY32STt65pTrzmPN9VGJdurCBdQgStw4BYa8ABNaAGBESzgFd7QAr2jD/S5Oi2gLHMOOaCvX6sXm4k=</latexit>
x1
<latexit sha1_base64="X7x3Z3MPWNhfMTojlr7ayBZoMeI=">AAACC3icZVDNSsNAGPy2/tX6V/XoZWkRPJVEC3osePFY0f5AG8pmu2mXbnZDdiMtoY/Qqz6IN/HqQ/gcvoBJG8S0AwvDzDfsMG4guDaW9Y0KW9s7u3vF/dLB4dHxSfn0rK1VFFLWokqosOsSzQSX
rGW4EawbhIz4rmAdd3Kf+p0XFmqu5LOZBczxyUhyj1NiEulpOrAH5apVs5bAm8TOSBUyNAfln/5Q0chn0lBBtO7ZVmCcmISGU8HmpX6kWUDohIxYL6GS+Ew78bLqHF8myhB7KkyeNHip/k/ExNd65rvJpU/MWK97qfjnlXJuMJ5pTnWuQGx48vtaJ+PdOTGXQWSYpKtK
XiSwUThdCOfz07Snnicr2eubbJL2dc2+qdmP9Wqjku1VhAuowBXYcAsNeIAmtIDCCBbwCm9ogd7RB/pcnRZQljmHHNDXL6fNm4c=</latexit>
Largest deformation
No vertical deformation
Flow front
Resin inlet
Profile
Pultrusion die
Die exit
Die entrance
(i.e., no detachment)
Dense fibre packing
0
0.2
0.4
0.6
0.8
1
Resin pressure
p/pin [-]
0
1.5
3
4.5
6
7.5
Fibre displacement
!
(uf )i(uf )i/wc · 10−4
[-]
0.93
0.96
0.99
1.02
1.05
1.08
Fibre vol. frac.
Vf /Vf0 [-]
Loose fibre packing (near inlet)
Streamlines of fibres
(deformation scaled 10×)
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
27/34
Part 4: Process-induced stress and deformation
• Modelling of chemical cure shrinkage and thermal expansion; and
• Resulting e↵ects on process-induced stress and deformation in the profile.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
28/34
Part 4: Process-induced stress and deformation
Results - Simulations: Process-induced strains
0
30
60
90
120
150
180
210
Temperature,
T
[
C]
T Tg
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
(Resin modulus, Er, between
(3.4 and 1124.6 MPa, at exit)
Degree
of
cure,
↵
[-]
200
0
200
400
600
800
1,000
Strains
[µ✏]
✏th
11 ✏ch
11
✏
pr
11
12,000
9,000
6,000
3,000
0
3,000
6,000
9,000
12,000
15,000
18,000
Strains
[µ✏]
✏th
22 = ✏th
33 ✏ch
22 = ✏th
33
✏pr
22 = ✏pr
33
2 0 2 4 6 8 10
14
12
10
8
6
4
2
0
2
4
6
8
x1 [m]
Stress,
11
[MPa]
11 Inside die Ref.
2 0 2 4 6 8 10
12
10
8
6
4
2
0
2
4
x1 [m]
22
,
33
[MPa]
22 33
Figure: Temperature, degree of cure, stress, and strain probed at the centre (blue) and the top (red) of the profile.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
29/34
Part 4: Process-induced stress and deformation
Results - Simulations: Shape distortions
0 2 4 6 8 10
0.25
0.2
0.15
0.1
0.05
0
0.05
0.1
0.15
0.2
0.25
0.8 0.915 1
0
0.02
0.04
!
*See caption
(I)
0.8 0.915 1
0
0.7
·10 3
⇥
x1 = 0.887 [m]
(detached 28 mm
before the die-exit)
(II)
x1 [m]
Displacement
[mm]
(a)
u2
u3
u3 w/o stress release
Ref.
0 2 4 6 8 10
0.02
0.015
0.01
0.005
0
0.005
0.01 (x = 0.91)(x = 0.95)
(x = 4)
(x = 7)
(x = 10)
Die-walls !
0 0.3 0.6 0.915
0
2
4
6
8
·10 4
✏11
✏22 + ✏33
x1 [m]
Cross-sectional
average
of
volumetric
strain
V/V
=
✏
ii
[-]
(b)
Inside die
V/V
V/V w/o stress release
Figure: The e↵ects of including release of stress normal to the die-walls upon exit.
Introduction
What is pultrusion?
Research objectives
Background
Overview of presentation
Part 1-2: Resin impregnation,
heat transfer, and cure
Material characterisation:
Curing kinetics and
chemorheology
Impregnation flow:
Characterisation of
permeability
Results – simulations
Results – experiments
Part 3: Flow-induced fibre
compaction
Material characterisation:
Compaction behaviour
Results – simulations
Part 4: Process-induced stress
and deformation
Results - Simulations
Questions?
34/34
Thank you for your attention!
Want to collaborate?:
Project ideas about processing of composites and polymers?
Michael Sandberg, ms@ece.au.dk
Assistant professor from January 2022.
Project title: Numerical modelling of material flow in the resin-injection pultrusion process
Completed at DTU Mechanical Engineering:
Project partners: External research stay:
Funding:
(Grant no. DFF-6111-00112)

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Numerical Modelling of Material Flow in the Resin-injection Pultrusion Process

  • 1. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 1/34 Presentation of PhD project: Numerical Modelling of Material Flow in the Resin-injection Pultrusion Process Kompositsektionens Årsmøde 2021 Michael Sandberg Technical University of Denmark DTU Mechanical Engineering Section of Manufacturing Engineering Process Modelling Group
  • 2. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 2/34 Numerical modelling of material flow in the resin-injection pultrusion process (handed in November 2020) PhD candidate: Michael Sandberg Supervisor: Associate professor, Jon Spangenberg Technical University of Denmark Co-supervisors: Professor, Jesper H. Hattel Technical University of Denmark Assistant professor, Ismet Baran University of Twente Project partners: External research stay: Funding: (Grant no. DFF-6111-00112)
  • 3. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 3/34 Short CV: Michael Sandberg Specialisation: Manufacturing engineering (polymers + composites) Education: • PhD Mechanical engineering, Technical University of Denmark Q3, 2017 - Q4, 2020 • MSc Mechanical engineering, Technical University of Denmark Q3, 2013 - Q2, 2015 • BEng Mechanical engineering, Aarhus University, Denmark Q3, 2010 - Q1, 2013 Experience: • Assistant professor, Mechanical and Production Engineering, Aarhus University, Denmark Q1, 2022 – • Postdoc, DIGIT, Aarhus University, Denmark Q4, 2020 – Q4, 2021 • Academic guest, CMASlab, ETH Zürich, Switzerland Q1, 2019 – Q2, 2019 • Engineer, Composites engineering and technology, LM Wind Power, Denmark Q3, 2015 – Q3, 2017 • Visiting research student, Applied mechanics lab, National University of Singapore Q3, 2014 – Q4, 2014 • Various smaller positions as engineer/assistant in DK industry; 2009-2015
  • 4. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 8/34 Introduction Pultrusion die Figure: Cut-view of a resin-injection pultrusion die.
  • 5. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 14/34 Introduction Research objectives • Predictive modelling for design and optimisation; • A mature process ready for the next level; • Equip the pultrusion industry with tools for Industry 4.0; • Material flow comes with inherent complexity due to multiple physics interactions, current state-of-the-art is weak on multiphysics modelling and the associated experimental verification.
  • 6. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 16/34 Introduction Background – modelling approaches Semantic models (based on “training data”) First-principle models (based on physics) Prediction Material properties Geometry Process conditions Data Prediction
  • 7. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 17/34 Introduction Overview of presentation
  • 8. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 18/34 Part 1-2: Resin impregnation, heat transfer, and cure • Curing kinetics and chemorheological behaviour of the resin system; • Impregnation flow – how the resin system saturates the dry fibre reinforcement; and • Results – simulations and measurements from the pultrusion line
  • 9. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 19/34 Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology 0 0.2 0.4 0.6 0.8 1 0 1 2 ·10 2 Degree-of-cure, ↵ [-] (a) Cure rate, R ↵ [s 1 ] 70 C 90 C 110 C 120 C 130 C Experiment 0.4 0.6 0.8 1 ) Degree-of-cure, ↵ [-] 70 C 90 C 110 C 120 C Figure: Cure rate vs. cure degree (left) and development of viscosity in dynamic test (right, constant temperature ramp). (credit to PhD student, Onur Yuksel)
  • 10. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 19/34 Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology 0 0.2 0.4 0.6 0.8 1 0 1 2 ·10 2 Degree-of-cure, ↵ [-] (a) Cure rate, R ↵ [s 1 ] 70 C 90 C 110 C 120 C 130 C Experiment 0.4 0.6 0.8 1 Degree-of-cure, ↵ [-] 70 C 90 C 110 C 120 C 0 500 1,000 1,500 0 1 2 (a) Storage- (G 0 ) and loss modulu 2.5 C/min 5.0 C/min 7.5 C/min G’ G” 0 500 1,000 1,500 100 101 102 103 104 Time, t [s] (b) Complex viscosity [Pa·s] 2.5 C/min 5.0 C/min 7.5 C/min Experiment Figure: Cure rate vs. cure degree (left) and development of viscosity in dynamic test (right, constant temperature ramp). (credit to PhD student, Onur Yuksel)
  • 11. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 20/34 Part 1-2: Resin impregnation, heat transfer, and cure Impregnation flow: Characterisation of permeability Local low volume fraction <latexit sha1_base64="mJCGoeQQH447hYEE424mm1+o1VQ=">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</latexit> High degree of uniformity <latexit sha1_base64="CeW7h6ko+zGcRsxlnu/7r4Az9Ac=">AAACoHicZVFNa9tAEF2rX6n65bSn0stiEyg9GCk9tMdAL741gTgJtYUZrUb2kv0Qu6MWIUx/Ta/t7+m/6coRxXYGFh7vzc68mckrJT0lyd9B9ODho8dPjp7Gz56/ePlqePz6ytvaCZwJq6y7ycGjkgZnJEnhTeUQdK7wOr/90unX39F5ac0lNRVmGlZGllIABWo5fDuVqzUvcOUQuS15HUTrtKRmORwnk2Qb/D5IezBmfZwvjwd2UVhRazQkFHg/T5OKshYcSaFwEy9qjxWIW1jhPEADGn3WbmfY8JPAFDz0Ds8Q37K7P1rQ3jc6D5kaaO0PtY78r8V7arVuvBR+z0BLMnQ/8ETl56yVpqoJjbizVNaKk+Xd6nghHQpSTQAgnAxTcbEGB4LCguOT3epK2wKd2QTWocEfwmoNpviwKEFL1RRYQq2oXfiyh6HbrpXLNGu7PXQ+9irPhc5aX26njcOJ0sOD3AdXp5P04yS9OB2fjfpjHbF3bMTes5R9Ymdsys7ZjAn2k/1iv9mfaBRNo6/RxV1qNOj/vGF7EX37B37K0Xg=</latexit> Conventional unidirectional roving<latexit 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sha1_base64="YZp1VDyhuz3ib+tL52BY81Kf6ao=">AAACIXicZVDLSsNAFJ3UV62vqgsXboa2ghtLUhe6LLhxWcE+oA1hMp20QyczIXciLSFf061+iDtxJ36GP2DaBjHtgYHDOfdyzxw3EBy0aX4Zha3tnd294n7p4PDo+KR8etYBFYWUtakSKuy5BJjgkrU114L1gpAR3xWs604eFn73hYXAlXzWs4DZPhlJ7nFKdCo55Yva1LFupk6jhmmoADAwunKqZt1cAm8SKyNVlKHllH8GQ0Ujn0lNBQHoW2ag7ZiEmlPBktIgAhYQOiEj1k+pJD4DO15+IMFXqTLEngrTJzVeqv83YuIDzHw3nfSJHsO6txD/vFLODcYz4BRyAWLN0+trmbR3b8dcBpFmkq4ieZHAWuFFbzi/P13khCRtyVrvZJN0GnXrtm49NarNStZXEV2iCrpGFrpDTfSIWqiNKErQHL2iN2NuvBsfxudqtGBkO+coB+P7F6Hao1s=</latexit> High degree of fibre agglomerations <latexit sha1_base64="z/pVZ+CMsfu6SBFphQgyuvWzn20=">AAACLnicZVDLSsNAFJ3UV62vqEs3Q6vgqiR1ocuCmy4r2Ae0oUymN+nQSSbMTMQS+gN+Tbf6IYILceveHzBpg5j2wMDhnHu5Z44bcaa0ZX0Ypa3tnd298n7l4PDo+MQ8PesqEUsKHSq4kH2XKOAshI5mmkM/kkACl0PPnd5nfu8JpGIifNSzCJyA+CHzGCU6lUbmZYv5EzwGXwJg4WGPuRIw8X0uApDLIYVHZs2qW0vgTWLnpIZytEfmz3AsaBxAqCknSg1sK9JOQqRmlMO8MowVRIROiQ+DlIYkAOUky9/M8VWqjLEnZPpCjZfq/42EBErNAjedDIieqHUvE/+8SsGNJjPFqCoESDRLr69l0t6dk7AwijWEdBXJiznWAmcl4uL+c5ZTzdOW7PVONkm3Ubdv6vZDo9as5n2V0QWqomtko1vURC3URh1E0QtaoFf0ZiyMd+PT+FqNlox85xwVYHz/AvLCqT0=</latexit> Figure: 3D and cross-sectional views of cutouts from a composite part manufactured using conventional UD-rovings and air-texturised rovings. These images were prepared by use of X-ray µ-CT (credit to PhD student, Filip Bo Salling).
  • 12. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 20/34 Part 1-2: Resin impregnation, heat transfer, and cure Impregnation flow: Characterisation of permeability Fibre guides <latexit sha1_base64="yXuJjAppmycCJ+8F4KFTRK5fCPU=">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</latexit> Testing area <latexit 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sha1_base64="WdRGhikNaBJw1u0aoeGxrfD2ExQ=">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</latexit> (b) <latexit sha1_base64="yLqUFkMXHdFFsxHevXSlsuAZ3TA=">AAACC3icZVDNSsNAGPy2/tX6V/XoJbQI9VKSetBjwYvHivYH2lA22027dH9CdiOW0EfoVR/Em3j1IXwOX8CkDWLagYVh5ht2GC/gTBvb/kaFre2d3b3ifung8Oj4pHx61tEqCgltE8VV2POwppxJ2jbMcNoLQoqFx2nXm96lfveZhpop+WRmAXUFHkvmM4JNIj3WvKthuWrX7SWsTeJkpAoZWsPyz2CkSCSoNIRjrfuOHRg3xqFhhNN5aRBpGmAyxWPaT6jEgmo3XladW5eJMrJ8FSZPGmup/k/EWGg9E15yKbCZ6HUvFf+8Us4NJjPNiM4ViA1Lfl/rZPxbN2YyiAyVZFXJj7hllJUuZOXzL2lPPU9WctY32SSdRt25rjsPjWqzku1VhAuoQA0cuIEm3EML2kBgDAt4hTe0QO/oA32uTgsoy5xDDujrFxrHmzA=</latexit> (a) <latexit sha1_base64="pqaPqUZCAkU++AMIDD3PKCwLLJk=">AAACC3icZVDNSsNAGPy2/tX6V/XoJbQI9VKSetBjwYvHivYH2lA22027dH9CdiOW0EfoVR/Em3j1IXwOX8CkDWLagYVh5ht2GC/gTBvb/kaFre2d3b3ifung8Oj4pHx61tEqCgltE8VV2POwppxJ2jbMcNoLQoqFx2nXm96lfveZhpop+WRmAXUFHkvmM4JNIj3W8NWwXLXr9hLWJnEyUoUMrWH5ZzBSJBJUGsKx1n3HDowb49Awwum8NIg0DTCZ4jHtJ1RiQbUbL6vOrctEGVm+CpMnjbVU/ydiLLSeCS+5FNhM9LqXin9eKecGk5lmROcKxIYlv691Mv6tGzMZRIZKsqrkR9wyykoXsvL5l7SnnicrOeubbJJOo+5c152HRrVZyfYqwgVUoAYO3EAT7qEFbSAwhgW8whtaoHf0gT5XpwWUZc4hB/T1Cxkhmy8=</latexit> of powder soluble, <latexit 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sha1_base64="J6FyAKn+fpm9kNtV4Tvac6Y2SFI=">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</latexit> (b) <latexit sha1_base64="yLqUFkMXHdFFsxHevXSlsuAZ3TA=">AAACC3icZVDNSsNAGPy2/tX6V/XoJbQI9VKSetBjwYvHivYH2lA22027dH9CdiOW0EfoVR/Em3j1IXwOX8CkDWLagYVh5ht2GC/gTBvb/kaFre2d3b3ifung8Oj4pHx61tEqCgltE8VV2POwppxJ2jbMcNoLQoqFx2nXm96lfveZhpop+WRmAXUFHkvmM4JNIj3WvKthuWrX7SWsTeJkpAoZWsPyz2CkSCSoNIRjrfuOHRg3xqFhhNN5aRBpGmAyxWPaT6jEgmo3XladW5eJMrJ8FSZPGmup/k/EWGg9E15yKbCZ6HUvFf+8Us4NJjPNiM4ViA1Lfl/rZPxbN2YyiAyVZFXJj7hllJUuZOXzL2lPPU9WctY32SSdRt25rjsPjWqzku1VhAuoQA0cuIEm3EML2kBgDAt4hTe0QO/oA32uTgsoy5xDDujrFxrHmzA=</latexit> Figure: (a) Rig for sample preparation. (b) One prepared sample (air-texturised rovings) for impregnation tests.
  • 13. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 20/34 Part 1-2: Resin impregnation, heat transfer, and cure Impregnation flow: Characterisation of permeability (a) <latexit 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sha1_base64="DYfKP4Ak2kJYdvflhg8dAw1ZUnY=">AAACC3icdVDNSsNAGPxS/2r9q3r0srQInkKihdpbwYvHiqYttKFstpt26WYTshtpCX2EXvVBvIlXH8Ln8AVM2ihNwYGFYeYbdhgn4Ewqw/jSClvbO7t7xf3SweHR8Un59Kwt/Sgk1CI+98OugyXlTFBLMcVpNwgp9hxOO87kLvU7zzSUzBdPahZQ28MjwVxGsEqkx+nAHJSrpm4sgQy9kaBey0jDRL9WFTK0BuXv/tAnkUeFIhxL2TONQNkxDhUjnM5L/UjSAJMJHtFeQgX2qLTjZdU5ukyUIXL9MHlCoaW6noixJ+XMc5JLD6ux3PRS8c8r5dxgPJOMyFyBWLHk941Oyr21YyaCSFFBVpXciCPlo3QhlM9P055yvr7S/6R9rZs3uvlQqzYr2V5FuIAKXIEJdWjCPbTAAgIjWMALvGoL7U171z5WpwUty5xDDtrnDzqYm+U=</latexit> x3 <latexit sha1_base64="kjgU0hVQYR56obUMqJ8XQ4ge6S0=">AAACC3icdVDNasJAGPxi/6z90bbHXhal0FNIqmC9Cb30aGn9AQ2yWTe6uNmE7KYowUfw2j5Ib6XXPkSfoy/QRNNihA4sDDPfsMPYPmdSGcaXltvZ3ds/yB8Wjo5PTouls/OO9MKA0DbxuBf0bCwpZ4K2FVOc9vyAYtfmtGtP7xK/+0wDyTzxpOY+tVw8FsxhBKtYepwNq8NSxdSNFZChN2LUaylpmOjXqkCK1rD0PRh5JHSpUIRjKfum4SsrwoFihNNFYRBK6mMyxWPaj6nALpVWtKq6QFexMkKOF8RPKLRSNxMRdqWcu3Z86WI1kdteIv55hYzrT+aSEZkpECkW/77VSTm3VsSEHyoqyLqSE3KkPJQshLL5WdJTLjZX+p90bnSzqpsPtUqznO6Vh0sowzWYUIcm3EML2kBgDEt4gVdtqb1p79rH+jSnpZkLyED7/AE94pvn</latexit> x1 <latexit sha1_base64="7K6rSYl0rYvFvs5XrNmjdMRfb8I=">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</latexit> x1 <latexit sha1_base64="41UwVKSbTHTqbQviD80e4qDwEHw=">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</latexit> x2 <latexit sha1_base64="CwNtipoUui6PGfl6KUsuWEzdsTQ=">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</latexit> Inlet <latexit sha1_base64="1d3ooWWzpL0s111eyXmnRu/RlzU=">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</latexit> Bottom plate (380 380 mm2 ) <latexit sha1_base64="L8nhSHPeyeM7MPak+bDnetbMiLc=">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</latexit> 60 <latexit sha1_base64="VPlrRevxKojZGbvYNnP/dbWokeg=">AAACEHicZVDNSsNAGPy2/tX6V/XoZWkRPJVEi3osePFYwf5AG8tmu2mXbjZhdyOW0JfoVR/Em3j1DXwOX8CkDWLagYVh5ht2GDcUXBvL+kaFjc2t7Z3ibmlv/+DwqHx80tZBpChr0UAEqusSzQSXrGW4EawbKkZ8V7COO7lL/c4zU5oH8tFMQ+b4ZCS5xykxidS9tp76lCs6KFetmrUAXid2RqqQoTko//SHAY18Jg0VROuebYXGiYkynAo2K/UjzUJCJ2TEegmVxGfaiRd9Z/g8UYbYC1TypMEL9X8iJr7WU99NLn1ixnrVS8U/r5Rzw/FUc6pzBWLDk99XOhnv1om5DCPDJF1W8iKBTYDTmXA+/5L21LNkJXt1k3XSvqzZVzX7oV5tVLK9inAGFbgAG26gAffQhBZQEDCHV3hDc/SOPtDn8rSAsswp5IC+fgE9hZ1y</latexit> <latexit sha1_base64="YhteX1eLrvAAPPzSUHfyDInEr88=">AAACDHicZVDNSsNAGPzib61/VY9elhbBU0lU0GPBi8cK9gfaUDbbTbt0s1nybcQS+gq96oN4E6++g8/hC5i0QUw7sDDMfMMO42kp0Nj2t7WxubW9s1vaK+8fHB4dV05O2xjGEeMtFsow6noUuRSKt4wwknd1xGngSd7xJveZ33nmEYpQPZmp5m5AR0r4glGTSX2NYlCp2XV7AbJOnJzUIEdzUPnpD0MWB1wZJiliz7G1cRMaGcEkn5X7MXJN2YSOeC+ligYc3WTRdUYuUmVI/DBKnzJkof5PJDRAnAZeehlQM8ZVLxP/vHLB1eMpCoaFAokR6e8rnYx/5yZC6dhwxZaV/FgSE5JsIlLMv2Q9cZau5Kxusk7aV3Xnuu483tQa1XyvEpxDFS7BgVtowAM0oQUMxjCHV3iz5ta79WF9Lk83rDxzBgVYX7/VHZwx</latexit> 30 <latexit sha1_base64="j+mefiGokq9ELlRp/B1fHaN6tcc=">AAACEHicZVDNSsNAGPy2/tX6V/XoZWkRPJXEFvRY8OKxgv2BNpbNdtMu3d2E7EYsoS/Rqz6IN/HqG/gcvoBJG8S0AwvDzDfsMG4guDaW9Y0KW9s7u3vF/dLB4dHxSfn0rKP9KKSsTX3hhz2XaCa4Ym3DjWC9IGREuoJ13eld6nefWai5rx7NLGCOJGPFPU6JSaRe3XoaUB7SYblq1awl8CaxM1KFDK1h+Wcw8mkkmTJUEK37thUYJyah4VSweWkQaRYQOiVj1k+oIpJpJ172nePLRBlhzw+Tpwxeqv8TMZFaz6SbXEpiJnrdS8U/r5Rzg8lMc6pzBWLDk9/XOhnv1om5CiLDFF1V8iKBjY/TmXA+/5L21PNkJXt9k03Sua7Z9Zr90Kg2K9leRbiAClyBDTfQhHtoQRsoCFjAK7yhBXpHH+hzdVpAWeYcckBfvziBnW8=</latexit> 120 <latexit sha1_base64="dZpP4QfnSaGCwOjnn/DzwhQfvv8=">AAACEXicZVDNSsNAGPxS/2r9q3r0srQInkpSBT0WvHisYH+kjWWz3bRLdzchuxFL6FP0qg/iTbz6BD6HL+CmDWLagYVh5ht2GC/kTGnb/rYKG5tb2zvF3dLe/sHhUfn4pK2COCK0RQIeRF0PK8qZpC3NNKfdMKJYeJx2vMlt6neeaaRYIB/0NKSuwCPJfEawNtKjU7ef+oRFZFCu2jV7AbROnIxUIUNzUP7pDwMSCyo14VipnmOH2k1wpBnhdFbqx4qGmEzwiPYMlVhQ5SaLwjN0bpQh8oPIPKnRQv2fSLBQaio8cymwHqtVLxX/vFLODcdTxYjKFUg0M7+vdNL+jZswGcaaSrKs5Mcc6QClO6F8/iXtqWZmJWd1k3XSrtecy5pzf1VtVLK9inAGFbgAB66hAXfQhBYQEDCHV3iz5ta79WF9Lk8LVpY5hRysr1+uBZ2p</latexit> r = 60mm <latexit sha1_base64="mFg1tEXh2BbGvBHfJUgpcbwTEBg=">AAACGnicZVDNSsNAGPxS/2r9i3r0srQInkqiol6EghePFewPtKFsttt2aXYTsl9KS+ib9KoP4k28evE5fAGTNoipAwvDzDfsMG7gCY2W9WUUNja3tneKu6W9/YPDI/P4pKn9KGS8wXzPD9su1dwTijdQoMfbQcipdD3ecscPqd+a8FALXz3jLOCOpEMlBoJRTKSeaYbkntxYpIt8irGU855ZsarWEuQ/sTNSgQz1nvnd7fssklwh86jWHdsK0IlpiIJ5fF7qRpoHlI3pkHcSqqjk2omXzefkPFH6ZOCHyVNIlurfREyl1jPpJpeS4kive6n465VybjCaacF0rkCMIvl9rRMO7pxYqCBCrtiq0iDyCPokHYzk89O0p05Xstc3+U+al1X7qmo/XVdq5WyvIpxBGS7AhluowSPUoQEMJrCAF3g1Fsab8W58rE4LRpY5hRyMzx9Ye6Ca</latexit> r = 120mm <latexit sha1_base64="GxzxPY8+ivOj0ehLYL93P1NcG6o=">AAACG3icZVDNSsNAGNzUv1r/Uj16WVoETyWpgl6EghePFewPtKFstpt26e4mZL9oS+ij9KoP4k28evA5fAGTNohpBxaGmW/YYdxAcA2W9W0UtrZ3dveK+6WDw6PjE7N82tZ+FFLWor7ww65LNBNcsRZwEKwbhIxIV7COO7lP/c4zCzX31RPMAuZIMlLc45RAIg3McojvsF23cB/YFGIp5wOzatWsJfAmsTNSRRmaA/OnP/RpJJkCKojWPdsKwIlJCJwKNi/1I80CQidkxHoJVUQy7cTL6nN8kShD7Plh8hTgpfo/EROp9Uy6yaUkMNbrXir+eaWcG4xnmlOdKxADT35f6wTerRNzFUTAFF1V8iKBwcfpYjifn6Y9dbqSvb7JJmnXa/ZVzX68rjYq2V5FdI4q6BLZ6AY10ANqohai6AUt0Ct6MxbGu/FhfK5OC0aWOUM5GF+/ys2g0Q==</latexit> Impregnated fabric <latexit sha1_base64="oXqCFE8SHqDeBEIlWJnqMxdEaSc=">AAACI3icZVDLSsNAFJ34rPUVdSVuQovgqiQq6LLgRncV7APaUCbT23boZBIyN9ISil/TrX6IO3Hjwq/wB5y0QUx7YeBwzj3cM8cLBVdo21/G2vrG5tZ2Yae4u7d/cGgeHTdUEEcM6iwQQdTyqALBJdSRo4BWGAH1PQFNb3SX6s1niBQP5BNOQnB9OpC8zxlFTXXN0w7CGJMHX7sGkiL0rD71Is6mXbNsV+z5WKvAyUCZZFPrmj+dXsBiHyQyQZVqO3aIbkIj5EzAtNiJFYSUjegA2hpK6oNyk/kXpta5ZvTpINJPojVn/zsS6is18T296VMcqmUtJf+0Yk4NhxPFmcoFSJDr60uZsH/rJlyGMYJki0j9WFgYWGlzVt4/TnOqtCVnuZNV0LisOFcV5/G6XC1lfRXIGSmRC+KQG1Il96RG6oSRFzIjr+TNmBnvxofxuVhdMzLPCcmN8f0LqZalnA==</latexit> 150 <latexit sha1_base64="gSx9ElrBRd5i8SQdbElKDOOgZRo=">AAACEXicZVDLSsNAFL2pr1pfVZduQovgqiQ+0GXBjcsK9iFtLJPppB06jzAzEUvoV3SrH+JO3PoFfoc/YNIGMe2BgcM59zCH44eMauM431ZhbX1jc6u4XdrZ3ds/KB8etbSMFCZNLJlUHR9pwqggTUMNI51QEcR9Rtr++Db1289EaSrFg5mExONoKGhAMTKJ9OheOU89TBXul6tOzZnDXiVuRqqQodEv//QGEkecCIMZ0rrrOqHxYqQMxYxMS71IkxDhMRqSbkIF4kR78bzw1D5NlIEdSJU8Yey5+j8RI671hPvJJUdmpJe9VPzzSjk3HE00xTpXIDY0+X2pkwluvJiKMDJE4EWlIGK2kXa6k53Pv6Q99TRZyV3eZJW0zmvuRc29v6zWK9leRTiBCpyBC9dQhztoQBMwcJjBK7xZM+vd+rA+F6cFK8scQw7W1y+zCZ2s</latexit> Pressure sensor <latexit sha1_base64="JzKXBrLdvzejxR0KWCi0S7NHLT8=">AAACIHicZVDNSsNAGNzUv1r/ooIXL0uL4KkkKuix4MVjBfsDbSib7dd2abIJ+22kJfZletUH8SYe9TV8AZM2iGkHFoaZb9hh3NATqC3ryyhsbG5t7xR3S3v7B4dH5vFJE4NIcWjwwAtU22UInpDQ0EJ70A4VMN/1oOWO71O/9QwKRSCf9DQEx2dDKQaCM51IPfOsq2Gi47oCxEgBRZAYqFnPrFhVawG6TuyMVEiGes/86fYDHvkgNfcYYse2Qu3ETGnBPZiVuhFCyPiYDaGTUMl8QCde9J/Ri0Tp00Ggkic1Xaj/EzHzEae+m1z6TI9w1UvFP6+Uc8PRFAXHXIFYi+T3lU56cOfEQoaRBsmXlQaRR3VA09loPj9Je2K6kr26yTppXlXt66r9eFOplbO9iuSclMklscktqZEHUicNwskLmZNX8mbMjXfjw/hcnhaMLHNKcjC+fwGoOKSa</latexit> Inlet hole (r = 7.5 mm) <latexit sha1_base64="CJKNc/6BQ4Fvx8O3uTg5JjWhBQU=">AAACI3icZVDLSsNAFJ34rPUVdSVuhrZC3YSkInUjFNzoroJ9QBvKZDpph84jZCZiCcWv6VY/xJ24ceFX+AOmbRDTHhg4nHMv98zxAkaVtu0vY219Y3NrO7eT393bPzg0j46bSkYhJg0smQzbHlKEUUEammpG2kFIEPcYaXmj25nfeiKholI86nFAXI4GgvoUI51IPfP0XjCi4VAyAsulEN7AqnVVgpxf9MyibdlzwFXipKQIUtR75k+3L3HEidCYIaU6jh1oN0ahppiRSb4bKRIgPEID0kmoQJwoN55/YQLPE6UPfRkmT2g4V/9vxIgrNeZeMsmRHqplbyb+efmMGwzHimKVCRBrmlxfyqT9azemIog0EXgRyY8Y1BLOmoPZ/edZTjVJWnKWO1klzYrlXFrOQ6VYK6R95cAZKIAycEAV1MAdqIMGwOAFTMEreDOmxrvxYXwuRteMdOcEZGB8/wKCs6KK</latexit> x2 <latexit sha1_base64="S0Sk1ThKXovZg/cQZHSYwvU5zgE=">AAACC3icdVDNasJAGPxi/6z90bbHXhal0FNIrGC9Cb30aGn9AQ2yWTe6uNmE7KYowUfw2j5Ib6XXPkSfoy/QRNNihA4sDDPfsMPYPmdSGcaXltvZ3ds/yB8Wjo5PTouls/OO9MKA0DbxuBf0bCwpZ4K2FVOc9vyAYtfmtGtP7xK/+0wDyTzxpOY+tVw8FsxhBKtYepwNq8NSxdSNFZChN2LUaylpmOjXqkCK1rD0PRh5JHSpUIRjKfum4SsrwoFihNNFYRBK6mMyxWPaj6nALpVWtKq6QFexMkKOF8RPKLRSNxMRdqWcu3Z86WI1kdteIv55hYzrT+aSEZkpECkW/77VSTm3VsSEHyoqyLqSE3KkPJQshLL5WdJTLjZX+p90qrp5o5sPtUqznO6Vh0sowzWYUIcm3EML2kBgDEt4gVdtqb1p79rH+jSnpZkLyED7/AE8PZvm</latexit> Flow front <latexit 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sha1_base64="roXX9s/7LNCPJHr5FH5huKoCsDQ=">AAACDHicZVDNSsNAGPy2/tX6V/XoZWkRPZWkCnosePFYwf5AG8pmu2mXbnZDdiMtoa/Qqz6IN/HqO/gcvoBJG8S0AwvDzDfsMG4guDaW9Y0KW9s7u3vF/dLB4dHxSfn0rK1VFFLWokqosOsSzQSXrGW4EawbhIz4rmAdd/KQ+p0XFmqu5LOZBczxyUhyj1NiUmk6qF8NylWrZi2BN4mdkSpkaA7KP/2hopHPpKGCaN2zrcA4MQkNp4LNS/1Is4DQCRmxXkIl8Zl24mXXOb5MlCH2VJg8afBS/Z+Iia/1zHeTS5+YsV73UvHPK+XcYDzTnOpcgdjw5Pe1Tsa7d2Iug8gwSVeVvEhgo3A6Ec7np2lPPU9Wstc32STtes2+qdlPt9VGJdurCBdQgWuw4Q4a8AhNaAGFMSzgFd7QAr2jD/S5Oi2gLHMOOaCvXw+2m7k=</latexit> p1 <latexit 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sha1_base64="LXGf2C9qlCAwqsO3pngw+4N7Uys=">AAACGXicZVDLSsNAFL3xWeujUZduBlvBhZSkLnRZcKO7CvYBbQiT6aQdOpmEzEQsoV/SrX6IO3Hryu/wB5y0QUx7YOBwzr3cM8eLOJPKsr6Njc2t7Z3d0l55/+DwqGIen3RkmMSEtknIw7jnYUk5E7StmOK0F8UUBx6nXW9yl/ndZxpLFoonNY2oE+CRYD4jWGnJNSsPglN1hWqRmzIxq7lm1apbC6B1YuekCjlarvkzGIYkCahQhGMp+7YVKSfFsWKE01l5kEgaYTLBI9rXVOCASiddBJ+hC60MkR/G+gmFFur/jRQHUk4DT08GWI3lqpeJf1654EbjqWREFgKkiunrK5mUf+vor0eJooIsI/kJRypEWV+ouP+S5ZQz3ZK92sk66TTq9nXdfmxUmyjvqwRncA6XYMMNNOEeWtAGAgnM4RXejLnxbnwYn8vRDSPfOYUCjK9f1POgUg==</latexit> Figure: (a) Permeability measurement cells designed for radial impregnation tests. (b) Schematic of the pressure sensors and the radial flow that takes place inside the cavity of the permeability cell.
  • 14. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 21/34 Part 1-2: Resin impregnation, heat transfer, and cure Results – simulations 0 2 4 6 8 10 Pressure [bar] 0 0.2 0.4 0.6 0.8 1 Degree-of-cure [-] 0 40 80 120 160 200 Temperature [ C] Flow front <latexit 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sha1_base64="zBFlgVSqi4cke6bHFCKXDi8xVrw=">AAACH3icZVDNSsNAGPzib61/UfHkZWkRvFiSetBjoRePFewPtKFstpt26WY37G7UEvowveqDeBOvfQ5fwLQNYtqBhWHmG3YYP+JMG8eZW1vbO7t7+4WD4uHR8cmpfXbe0jJWhDaJ5FJ1fKwpZ4I2DTOcdiJFcehz2vbH9YXffqFKMymezSSiXoiHggWMYJNKffuyHismhihQMkQDRm9fMee6b5edirME2iRuRsqQodG3f3oDSeKQCkM41rrrOpHxEqwMI5xOi71Y0wiTMR7SbkoFDqn2kmX9KbpOlQEKpEqfMGip/k8kONR6EvrpZYjNSK97C/HPK+bcaDTRjOhcgcSw9Pe1TiZ48BImothQQVaVgpgjI9FiNZTPvy166mm6kru+ySZpVSvuXcV9qpZrpWyvAlxBCW7AhXuowSM0oAkEEpjBO3xYM+vT+rK+V6dbVpa5gBys+S9KrqNA</latexit> Injection of fresh resin <latexit 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  • 15. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 22/34 Part 1-2: Resin impregnation, heat transfer, and cure Results – simulations 1 0.5 0 0.5 1 1.5 2 2.5 3 3.5 0 2 4 6 8 10 1 2 ⇥3c ⇥ 3e ⇥ 4 6 7 (a) Pressure [bar] Inside die Outside die 1 0.5 0 0.5 1 1.5 2 2.5 3 3.5 50 100 150 ⇥ Th1 ⇥ Th2 ⇥ Th3 1 2 ⇥ 3c ⇥ 3e ⇥ 4 ⇥ 5 6 7 (b) Temperature [ C] 1 0.5 0 0.5 1 1.5 2 2.5 3 3.5 0 0.2 0.4 0.6 0.8 1 1 2 ⇥ 3c ⇥ 3e ⇥ 4 6 7 Position, x1 [m] (c) Degree-of-cure [-] Figure: Stationary profiles: An overview of how the pressure, temperature, and the degree-of-cure developed towards, inside, and after the pultrusion die.
  • 16. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 23/34 Part 1-2: Resin impregnation, heat transfer, and cure Results – experiments 1 0.5 0 0.5 1 1.5 2 2.5 3 3.5 0 50 100 150 200 ⇥ (⇤) ⇥ (⇤⇤) Temperature [ C] (a) 100% speed Inside die Outside die Simulation Experiment 1 Experiment 2 1 0.5 0 0.5 1 1.5 2 2.5 3 3.5 0 50 100 150 200 Temperature [ C] (b) 110% speed Simulation Experiment 1 Experiment 2 Experiment 3 1 0.5 0 0.5 1 1.5 2 2.5 3 3.5 0 50 100 150 200 Position, x1 [m] Temperature [ C] (c) 120% speed Simulation Experiment 1 Experiment 2 Figure: Comparison of temperature profiles obtained from the simulation model and measurements from an industrial pultrusion line at di↵erent pulling speeds.
  • 17. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 24/34 Part 3: Flow-induced fibre compaction • Fibre-deformation induced by resin flow; and • Associated e↵ects on the material flow in resin-injection pultrusion processes.
  • 18. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 25/34 Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour ”Pragmatic” approach, measurement of the fibre material’s compaction behaviour: h <latexit sha1_base64="AOp5AFapBkphXH/CLglEKZD629o=">AAACCXicdVDNasJAGPxi/6z9s+2xl0Up9BSSqqg3oZceFeoPaJDNutHFzSZkN6USfAKv7YP0VnrtU/Q5+gJNoi2N0IGFYeYbdhjb50wqw/jUcju7e/sH+cPC0fHJ6Vnx/KInvTAgtEs87gUDG0vKmaBdxRSnAz+g2LU57dvzu8TvP9JAMk88qIVPLRdPBXMYwSqWOrNxsWzozWa1WTNRQmqmUUlJtVFvIFM3UpRhg/a4+DWaeCR0qVCEYymHpuErK8KBYoTTZWEUSupjMsdTOoypwC6VVpQWXaLrWJkgxwviJxRK1b+JCLtSLlw7vnSxmsltLxF/vULG9WcLyYjMFIgUi3/f6qSchhUx4YeKCrKu5IQcKQ8l+6Bs/inpKZfxSj9ToP9J71Y3K7rZqZZbpc1eebiCEtyACXVowT20oQsEKKzgGV60lfaqvWnv69OctslcQgbaxzcBEZtA</latexit> x1 <latexit sha1_base64="MMLl9dVCNI4M2bb81Me9DdtsSpI=">AAACC3icdVDNSsNAGPxS/2r9q3r0slgETyGxLW1vBS8eK9ofaEPZbDft0s0mZDfSEvoIveqDeBOvPoTP4QuYpFVMwYGFYeYbdhjb50wqw/jUclvbO7t7+f3CweHR8Unx9KwjvTAgtE087gU9G0vKmaBtxRSnPT+g2LU57drT28TvPtFAMk88qrlPLRePBXMYwSqWHmZDc1gsGXqjUWlUTZSQqmmUU1Kp1+rI1I0UJVijNSx+DUYeCV0qFOFYyr5p+MqKcKAY4XRRGISS+phM8Zj2YyqwS6UVpVUX6CpWRsjxgvgJhVL1byLCrpRz144vXawmctNLxF+vkHH9yVwyIjMFIsXi3zc6KaduRUz4oaKCrCo5IUfKQ8lCKJufJT3lIl7pZwr0P+nc6GZZN+8rpebleq88XMAlXIMJNWjCHbSgDQTGsIRneNGW2qv2pr2vTnPaOnMOGWgf31Obm/Q=</latexit> x2 <latexit sha1_base64="QNFCMLas757x9RQE5lQUrQhZypk=">AAACC3icdVDNasJAGPxi/6z9s+2xl0Up9BQSf1BvQi89Wlp/QINs1o0ubjYhuylK8BG8tg/SW+m1D9Hn6As0UVsaoQMLw8w37DC2z5lUhvGpZXZ29/YPsoe5o+OT07P8+UVHemFAaJt43At6NpaUM0HbiilOe35AsWtz2rWnt4nffaKBZJ54VHOfWi4eC+YwglUsPcyGpWG+aOiNRqVRNVFCqqZRXpFKvVZHpm6sUIQNWsP812DkkdClQhGOpeybhq+sCAeKEU4XuUEoqY/JFI9pP6YCu1Ra0arqAl3Hygg5XhA/odBK/ZuIsCvl3LXjSxeridz2EvHXy6VcfzKXjMhUgUix+PetTsqpWxETfqioIOtKTsiR8lCyEErnZ0lPuYhX+pkC/U86Jd0s6+Z9pdgsbPbKwhUU4AZMqEET7qAFbSAwhiU8w4u21F61N+19fZrRNplLSEH7+AZVQJv1</latexit> x3 <latexit sha1_base64="WlbX5R0NdkcUQvWyx6dnrAswOAs=">AAACC3icdVDNSsNAGPxS/2r9q3r0slgETyGxLW1vBS8eK9ofaEPZbDft0s0mZDfSEvoIveqDeBOvPoTP4QuYpFVMwYGFYeYbdhjb50wqw/jUclvbO7t7+f3CweHR8Unx9KwjvTAgtE087gU9G0vKmaBtxRSnPT+g2LU57drT28TvPtFAMk88qrlPLRePBXMYwSqWHmbD8rBYMvRGo9KomighVdMop6RSr9WRqRspSrBGa1j8Gow8ErpUKMKxlH3T8JUV4UAxwumiMAgl9TGZ4jHtx1Rgl0orSqsu0FWsjJDjBfETCqXq30SEXSnnrh1fulhN5KaXiL9eIeP6k7lkRGYKRIrFv290Uk7dipjwQ0UFWVVyQo6Uh5KFUDY/S3rKRbzSzxTof9K50c2ybt5XSs3L9V55uIBLuAYTatCEO2hBGwiMYQnP8KIttVftTXtfnea0deYcMtA+vgFW5Zv2</latexit> Vfc1 . . . Vfc4 c1 c2 c3 c4 Volume fraction Compaction pressure Loading Unloading Figure: Experimental setup and stress-volume fraction curves for compaction behaviour
  • 19. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 26/34 Part 3: Flow-induced fibre compaction Results – simulations x2 <latexit sha1_base64="HqxDRy17bmCEhm+c6x/W/krWvIE=">AAACC3icZVDNSsNAGPy2/tX6V/XoJbQInkpSBT0WvHisaH+gDWWz3bRLN5slu5GW0EfoVR/Em3j1IXwOX8BNG8S0AwvDzDfsMJ7kTGnb/kaFre2d3b3ifung8Oj4pHx61lZhHBHaIiEPo66HFeVM 0JZmmtOujCgOPE473uQ+9TsvNFIsFM96Jqkb4JFgPiNYG+lpOqgPylW7Zi9hbRInI1XI0ByUf/rDkMQBFZpwrFTPsaV2ExxpRjidl/qxohKTCR7RnqECB1S5ybLq3Lo0ytDyw8g8oa2l+j+R4ECpWeCZywDrsVr3UvHPK+VcOZ4pRlSuQKKZ+X2tk/bv3IQJGWsqyKqS H3NLh1a6kJXPT9Oeam5WctY32STtes25rjmPN9VGJdurCBdQgStw4BYa8ABNaAGBESzgFd7QAr2jD/S5Oi2gLHMOOaCvX6lym4g=</latexit> x3 <latexit sha1_base64="0v8P1b880hnfVn3NmQBl6Tq/XpY=">AAACC3icZVDNSsNAGPy2/tX6V/XoJbQInkpiBT0WvHisaH+gDWWz3bRLN5slu5GW0EfoVR/Em3j1IXwOX8BNG8S0AwvDzDfsMJ7kTGnb/kaFre2d3b3ifung8Oj4pHx61lZhHBHaIiEPo66HFeVM 0JZmmtOujCgOPE473uQ+9TsvNFIsFM96Jqkb4JFgPiNYG+lpOqgPylW7Zi9hbRInI1XI0ByUf/rDkMQBFZpwrFTPsaV2ExxpRjidl/qxohKTCR7RnqECB1S5ybLq3Lo0ytDyw8g8oa2l+j+R4ECpWeCZywDrsVr3UvHPK+VcOZ4pRlSuQKKZ+X2tk/bv3IQJGWsqyKqS H3NLh1a6kJXPT9Oeam5WctY32STt65pTrzmPN9VGJdurCBdQgStw4BYa8ABNaAGBESzgFd7QAr2jD/S5Oi2gLHMOOaCvX6sXm4k=</latexit> x1 <latexit sha1_base64="X7x3Z3MPWNhfMTojlr7ayBZoMeI=">AAACC3icZVDNSsNAGPy2/tX6V/XoZWkRPJVEC3osePFY0f5AG8pmu2mXbnZDdiMtoY/Qqz6IN/HqQ/gcvoBJG8S0AwvDzDfsMG4guDaW9Y0KW9s7u3vF/dLB4dHxSfn0rK1VFFLWokqosOsSzQSX rGW4EawbhIz4rmAdd3Kf+p0XFmqu5LOZBczxyUhyj1NiEulpOrAH5apVs5bAm8TOSBUyNAfln/5Q0chn0lBBtO7ZVmCcmISGU8HmpX6kWUDohIxYL6GS+Ew78bLqHF8myhB7KkyeNHip/k/ExNd65rvJpU/MWK97qfjnlXJuMJ5pTnWuQGx48vtaJ+PdOTGXQWSYpKtK XiSwUThdCOfz07Snnicr2eubbJL2dc2+qdmP9Wqjku1VhAuowBXYcAsNeIAmtIDCCBbwCm9ogd7RB/pcnRZQljmHHNDXL6fNm4c=</latexit> Largest deformation No vertical deformation Flow front Resin inlet Profile Pultrusion die Die exit Die entrance (i.e., no detachment) Dense fibre packing 0 0.2 0.4 0.6 0.8 1 Resin pressure p/pin [-] 0 1.5 3 4.5 6 7.5 Fibre displacement ! (uf )i(uf )i/wc · 10−4 [-] 0.93 0.96 0.99 1.02 1.05 1.08 Fibre vol. frac. Vf /Vf0 [-] Loose fibre packing (near inlet) Streamlines of fibres (deformation scaled 10×)
  • 20. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 27/34 Part 4: Process-induced stress and deformation • Modelling of chemical cure shrinkage and thermal expansion; and • Resulting e↵ects on process-induced stress and deformation in the profile.
  • 21. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 28/34 Part 4: Process-induced stress and deformation Results - Simulations: Process-induced strains 0 30 60 90 120 150 180 210 Temperature, T [ C] T Tg 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 (Resin modulus, Er, between (3.4 and 1124.6 MPa, at exit) Degree of cure, ↵ [-] 200 0 200 400 600 800 1,000 Strains [µ✏] ✏th 11 ✏ch 11 ✏ pr 11 12,000 9,000 6,000 3,000 0 3,000 6,000 9,000 12,000 15,000 18,000 Strains [µ✏] ✏th 22 = ✏th 33 ✏ch 22 = ✏th 33 ✏pr 22 = ✏pr 33 2 0 2 4 6 8 10 14 12 10 8 6 4 2 0 2 4 6 8 x1 [m] Stress, 11 [MPa] 11 Inside die Ref. 2 0 2 4 6 8 10 12 10 8 6 4 2 0 2 4 x1 [m] 22 , 33 [MPa] 22 33 Figure: Temperature, degree of cure, stress, and strain probed at the centre (blue) and the top (red) of the profile.
  • 22. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 29/34 Part 4: Process-induced stress and deformation Results - Simulations: Shape distortions 0 2 4 6 8 10 0.25 0.2 0.15 0.1 0.05 0 0.05 0.1 0.15 0.2 0.25 0.8 0.915 1 0 0.02 0.04 ! *See caption (I) 0.8 0.915 1 0 0.7 ·10 3 ⇥ x1 = 0.887 [m] (detached 28 mm before the die-exit) (II) x1 [m] Displacement [mm] (a) u2 u3 u3 w/o stress release Ref. 0 2 4 6 8 10 0.02 0.015 0.01 0.005 0 0.005 0.01 (x = 0.91)(x = 0.95) (x = 4) (x = 7) (x = 10) Die-walls ! 0 0.3 0.6 0.915 0 2 4 6 8 ·10 4 ✏11 ✏22 + ✏33 x1 [m] Cross-sectional average of volumetric strain V/V = ✏ ii [-] (b) Inside die V/V V/V w/o stress release Figure: The e↵ects of including release of stress normal to the die-walls upon exit.
  • 23. Introduction What is pultrusion? Research objectives Background Overview of presentation Part 1-2: Resin impregnation, heat transfer, and cure Material characterisation: Curing kinetics and chemorheology Impregnation flow: Characterisation of permeability Results – simulations Results – experiments Part 3: Flow-induced fibre compaction Material characterisation: Compaction behaviour Results – simulations Part 4: Process-induced stress and deformation Results - Simulations Questions? 34/34 Thank you for your attention! Want to collaborate?: Project ideas about processing of composites and polymers? Michael Sandberg, ms@ece.au.dk Assistant professor from January 2022. Project title: Numerical modelling of material flow in the resin-injection pultrusion process Completed at DTU Mechanical Engineering: Project partners: External research stay: Funding: (Grant no. DFF-6111-00112)