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Thesis Defence

Numerical and Experimental Impact Analysis
 of Square Crash Box Structure with Holes

                                       By:

                                       Sahril Afandi Sitompul
                                       23611004


                                       Supervisors:

                                       Dr. Tatacipta Dirgantara
                                       Dr. Leonardo Gunawan
                                       Prof. Dr. Ichsan S. Putra

                            Lightweight Structure Research Group
                 Faculty of Mechanical and Aerospace Engineering
                                       Institut Teknologi Bandung
                                    Jl. Ganesha 10 Bandung 40132, INDONESIA
Presentation Outline
                                             Introduction
                                             • Research Background
                                              • Research Objectives
                                                 • Scope of works
                                                  • Methodology

                                            Axial Crushing
                                              • Theoretical Analysis

                                     Finite Element Methods
                                           • Computational Mechanics
                                         •Explicit Finite Element Method
                                                • Structural Model
                                              • Modeling Procedure

                                        Experimental Tests
                                                • Tensile Testing
                                         • Dynamic Axial Crushing Testing

                                        Result and Analysis
                                       • Numerical and Experimental Results


                                   Conclusions and Future Works
Lightweight Structure Laboratory                                              Structural Impact Engineering
Introduction
Research Background




                                   Auto Motor und Sport spezial 1992, photo H.P. Seufert




Lightweight Structure Laboratory                             Structural Impact Engineering
Introduction
           Research Background




T. Frank and K. Gruber. Numerical simulation of frontal impact and offset   J. Marsolek and H. G. Reimerdes. Energy absorption of metallic cylindrical shells with induced non-
collisions.Cray Research Inc., CRAY Channels: 2–6, 1992.                    axisymmetric folding patterns. International Journal of Impact Engineering 30 (2004) 1209-1223.




               Lightweight Structure Laboratory                                                                                    Structural Impact Engineering
Introduction
   Research Background
Lightweight Structure Research Group




    Concentrating
       on one of                       Crashworthiness                                 Safety
    research areas:
    STRUCTURAL
        IMPACT                           PRESERVES SUFFICIENT SURVIVAL SPACE around the
    ENGINEERING                          occupants to limit bodily injury during an accident.



                                         CONTROLLING THE DECELERATION within an
                                         acceptable safety level to prevent the injury to the
                                         passenger.

    Lightweight Structure Laboratory                                   Structural Impact Engineering
Introduction
  Research Objectives
To study the behavior of extruded aluminum thin-walled columns with square
cross-section and to examine the EFFECT OF INSERTING OF CIRCULAR HOLE(S)
as a crush initiator subjected to impact loading




Crashworthy                                         Meet acceptable       Light-weight vehicle
                                  Peak Crushing       safety level              structure
Performance                           Load


  Crushing                       Crushing Force   Crash box
 Parameters                        Efficiency      design                     Reduce fuel
                                                                              consumption

                                Mean Crushing
                                                                              Reduce CO2
                                   Force
                                                                              emissions
    Lightweight Structure Laboratory                            Structural Impact Engineering
Introduction
Scope of Works
• The numerical and experimental analysis are limited to a
square column with cross section 38 x 38 mm and thickness
1.15 mm subjected to axial impact load with initial velocity
below 4.5 m/s.

• In parametric study, the column width is varied from 40 to 80
mm with uniform thickness of 1.2 mm. The impact velocity is
4.5 m/s.

• The material used in this work was the aluminum extrusion
AA 6063-T1.

•The holes inserted on the column have the diameter to
column width ratios ranged from 0 – 0.8.
Lightweight Structure Laboratory               Structural Impact Engineering
Introduction
Methodology
                               Axial Crushing of Square Crash Box


                 Experimental                          Numerical


                Tensile Testing                     Parametric Study

                 Axial Crushing
                    Testing
                                      Numerical and
                                   Experimental Analysis


                              Conclusions and Future Works


Lightweight Structure Laboratory                                       Structural Impact Engineering
Axial Crushing
 Theoretical Analysis

   Loading                              Thin-Walled Structures                  Material

                                                                          Independent of Strain Rate

Axial Crushing                                 Column                      Dependent of Strain Rate



                                                                 Static Progressive Buckling
                     Low Velocity
                    (up to 10 m/s)
                                                             Dynamic Progressive Buckling

                     High Velocity       Dynamic Plastic Buckling




   Lightweight Structure Laboratory                                            Structural Impact Engineering
    N Jones. Structural Impact. 2003.
                                                                            Ly Hung Anh. 2007.
Axial Crushing
Theoretical Analysis
                                     Folding Mechanism of Square Column




                                                                                            Annisa Jusuf. 2012.
Super folding Element.
                                                                     Inextensional mode plastic deformation.




  Lightweight Structure Laboratory                                        Structural Impact Engineering
Axial Crushing
    Theoretical Analysis

                                                       60

                                                                Pmax              Instantaneous Crushing Force Curve
                                                                                                                                 MEAN CRUSHING FORCE
                Instantaneous Crushing Force, P (kN)




                                                                                  Mean Crushing Force Curve
  MAXIMUM
PEAK CRUSHING                                          40
    FORCE




                                                                                                                       Pm      CRUSHING FORCE EFFICIENCY
                                                       20




                                                       0
                                                            0          20   40          60          80          100
                                                                            Crushing Length, (mm)


      Lightweight Structure Laboratory                                                                                      Structural Impact Engineering
Finite Element Methods
Computational Mechanics

      NANOMECHANICS & MICROMECHANICS                               SOLID MECHANICS



              CONTINUUM MECHANICS                                FLUID MECHANICS (CFD)


                       SYSTEMS                             FLUID-STRUCTURE INTERACTION (FSI)



                                DISCRETIZATION

                                                    FINITE ELEMENT METHOD (FEM)

             SPATIAL                              BOUNDARY ELEMENT METHOD (BEM)

                                                   FINITE DIFFERENCE METHOD (FDM)

                                                    FINITE VOLUME METHOD (FVM)                   EXPLICIT
                                                 SMOOTHED PARTICLE HYDRODYNAMICS             FINITE ELEMENT
                                                              (SPH)                             METHODS


                TIME                                          EXPLICIT

                                                              IMPLICIT

 Lightweight Structure Laboratory                                           Structural Impact Engineering
Finite Element Methods
Explicit Finite Element Methods

       Used in LS-DYNA commercial code              Non-iterative


                      Formulations       Small time step (conditional stability)


                 Finite Element Steps

             Increment 1                                Increment 2




  Lightweight Structure Laboratory                         Structural Impact Engineering
Finite Element Methods
Structural Model
                                                                                   Impact       Impac
                                                                    Number
                                   b (mm)    t (mm)      D/b                       Velocity     t Mass
                                                                    of Holes
                                                                                    (m/s)         (kg)

                                                                  Set 1
                                                     (Experimental and Numerical )

                                                           0                         4.3684
                                                          0.3                        4.3751
                                     38       1.15                        1                       45.5
                                                          0.5                        4.4538
                                                          0.7                        4.3824
                                                                  Set 2
                                                     (Experimental and Numerical )

                                                          0.2                        4.3812
                                                                                                  45.5
                                     38       1.15        0.3             2          4.3602
                                                          0.5                        4.4024
                                                                  Set 3
                                                               (Numerical )
                                     40,                0,0.1,
Lightweight Structure Laboratory   50,…,80              …,0.8         Structural Impact4.5
                                                                       1&2              Engineering 80
Finite Element Methods
       Modeling Procedure
                                                                                               FINITE ELEMENT MODEL
                                                                                                       OF THE COLUMN



         IMPACTING mass 1
 The impactor was modeled
       as a rigid body using
hexahedral eight-node solid
               rigid element                                                   HOLE location
                                        VELOCITY            2                  The hole was introduced in the column
                                                                               model to achieve a stable deformation
                          Impact Velocity direction                            mode and reduce initial peak load during
                                                                               loading
                                                                4



                                                        3


                                                                                                      BOUNDARY condition
                                                                        The column was fixed in all directions, the constraints
                                                                         are located on every nodes from the lower end of the
                                                                    5 columns to 12 mm above to simulate the lower jig in the
                                      COLUMN wall
                                                                                                                   experiment
                 The column was fully modeled using
                                                                          The impactor was constrained in all direction except
        quadrilateral Belytscko-Tsay four-nodes shell
                                                                     along the vertical axis which coincides with the direction
                     elements with size 1 mm x 1 mm
                                                                      of the impact in order to ensure the impacting mass did
                                                                                                      not rotate during impact
         Lightweight Structure Laboratory                                               Structural Impact Engineering
Experimental Tests
Tensile Testing                                                                       High Speed Material Testing Machine for
                                                                                   INTERMEDIATE STRAIN RATE TENSILE TEST
                                                                                             (strain rate 1/s, 10/s, 100/s)
INSTRON 5585 for QUASI-STATIC TENSILE TEST
(strain rate 0.001/s, 0.1/s)




                                          The behavior of AA 6063-T1
                                                      is
                                        INDEPENDENT OF THE STRAIN
                                                    RATE

                                                                                       Engineering Stress – Strain Curve
          Mechanical Properties of AA 6063 T1
                                                                                 160
                                       AA 6063-T1
  Young’s modulus, E (MPa)              7.32.104               Stress, σ (MPa)
                                                                                 120

  Yield stress, y (MPa)                  83.81                                   80
  Tensile stress, u (MPa)                   154
                                                                                  40
  Poisson’s ratio,                          0.3
  Density,  (kg/mm3)                   2.7×10–6                                   0
                                                                                       0    0.02   0.04   0.06    0.08   0.1   0.12
   Lightweight Structure Laboratory                                                                  Structural Impact Engineering
                                                                                                          Strain, ε
Experimental Tests
      Dynamic Axial Crushing Testing
             Hoist




            Clamp                                                             DROP WEIGHT IMPACT TESTING
                                                Wheel
                                                                              MACHINE SPECIFICATIONS :
                                                Frame
Weightening mass
                                                                               Max. Impact Mass          150 kg
   Impactor head
                                                                               Max. Impact Height             5m

   Guide column                               Speed sensor                     Max. Impact Velocity      9.8 m/s
                                              Specimen
                                                Load cell
   Steel plate

Concrete base




                           DAQ       Data acquisition
                                                                             Schematic drawing and picture of
                                     equipment
                                                              dropped weight impact testing machine in the
            Computer                                                         Lightweight Structure Laboratory,
                                                             Faculty of Mechanical and Aerospace Engineering
                                                                                    Institut Teknologi Bandung
           Lightweight Structure Laboratory                                   Structural Impact Engineering
Experimental Tests
Dynamic Axial Crushing Testing

                                       Crushing Force History




                                                          Provide the output
        Convert a physical         Adjust the signal
                                                          signal representing          DAQ NI USB-
       property change into      type and range of the
                                                         the measurement in         6211, Sampling Rate
        an electrical signal            output
                                                             a digital code               250 kHz




                                     Wheatstone Bridge
           Strain Gage

  Lightweight Structure Laboratory                                                  Structural Impact Engineering
Experimental Tests
Dynamic Axial Crushing Testing

                                 Displacement History




                                                  Trapezoidal Integration rule applied




  Lightweight Structure Laboratory                                    Structural Impact Engineering
Result and Analysis
Square Tubes with One Hole
   COLLAPSE DEFORMATION MODES                                                                       INSTANTANEOUS CRUSHING FORCE

                                                                                        25
                                                                                                                          Experimental




                                                              Crushing Force, P (kN)
                                                                                        20                                Experimental (smoothing)
                                                                                                                          Numerical
                                                                                        15

                                                                                        10

                                                                                            5

                                                                                            0
                                                                                                0      10     20         30       40       50              60   70
square crash box with D/b = 0 (without hole)                                                                       Crushing Length,  (mm)

                                                                                       25
                                                                                                                           Experimental
                                               Crushing Force, P (kN)

                                                                                       20                                  Experimental (smoothing)
                                                                                                                           Numerical
                                                                                       15

                    Hole                                                               10
                  location
                                                                                        5

                                                                                        0
     square crash box with D/b = 0.3                                                        0          10      20        30         40                50        60
                                                                                                               Crushing Length,  (mm)

   Lightweight Structure Laboratory                                                                                             Structural Impact Engineering
Result and Analysis
                          Square Tubes with One Hole
                               10                                                                                                        30
                                                 10                                                                                       30
 Mean Crushing Force, Pm (kN)




                                                                                                            Peak Crushing Force, P Max
Mean Crushing Force, Pm (kN)




                                                                                                           Peak Crushing Force, P Max
                                                8 8                                                                                      25
                                                                                                                                          25
                                                                                                                                         20
                                                                                                                                          20
                                                6 6




                                                                                                                       (kN)
                                                                                                                                         15
                                                                                                                                          15




                                                                                                                      (kN)
                                                4 4                             Experimental
                                                                                  Experimental                                           10
                                                                                                                                          10                         Experimental
                                                                                                                                                                          Experimental
                                                2 2                             Numerical
                                                                                  Numerical                                              55                          Numerical
                                                                                                                                                                        Numerical
                                                0 0                                                                                      00
                                                  0 0       0.20.2     0.40.4        0.60.6       0.80.8                                       00   0.20.2     0.4 0.4     0.6   0.6     0.8   0.8

                                                                       D/b
                                                                         D/b                                                                                   D/b D/b


                                                 0.5
               Crushing Force Efficiency, CFE




                                                 0.4                                                                                          Experimental               Numerical
                                                 0.3                                                           D/b                         Pm    Pmax    CFE      Pm       Pmax        CFE
                                                                                                                                          (kN)   (kN)            (kN)      (kN)
                                                 0.2
                                                                                   Experimental
                                                                                 Experimenta                     0                        8.09 24.45 0.33        6.78      18.62       0.36
                                                 0.1                             l Numerical                    0.3                       8.24 22.60 0.36        6.62      17.76       0.37
                                                                                                                0.5                       7.63 21.55 0.35        6.76      16.39       0.41
                                                  0
                                                                                                                0.7                       7.84 22.88 0.34        6.19      14.67       0.42
                                                       0       0.2
                                                               0.2       0.4
                                                                          0.4         0.6
                                                                                       0.6         0.8
                                                                                                    0.8

                                                                         D/b
                                                                         D/b


                                                  Lightweight Structure Laboratory                                                                                  Structural Impact Engineering
Result and Analysis
Square Tubes with Two Holes
  COLLAPSE DEFORMATION MODES                                                INSTANTANEOUS CRUSHING FORCE


                                                                   25
                                                                                             Experimental

                                                                   20                        Experimental (smoothing)




                                          Crushing Force, P (kN)
                                                                                             Numerical
                                                                   15



                                                                   10

                       Hole
                     location                                      5



                                                                   0
                                                                        0      10     20    30      40      50          60   70
                                                                                      Crushing Length,  (mm)



        square crash box with D/b = 0.2




  Lightweight Structure Laboratory                                                         Structural Impact Engineering
Result and Analysis
Square Tubes with Two Holes
                                                                                                                               30
                                 10




                                                                                             Peak Crushing Force, P Max (kN)
Mean Crushing Force, Pm (kN)




                                                                                                                               25
                                  8
                                                                                                                               20
                                  6
                                                                                                                               15
                                  4                                  Experimental                                              10
                                                                                                                                                                                Experimental
                                  2                                  Numerical
                                                                                                                               5                                                Numerical
                                  0                                                                                            0
                                       0   0.1     0.2     0.3       0.4         0.5   0.6                                          0        0.1      0.2          0.3          0.4         0.5     0.6

                                                           D/b                                                                                                     D/b


                                 0.5
Crushing Force Efficiency, CFE




                                                                                                                                           Experimental                           Numerical
                                 0.4
                                                                                             D/b                                     Pm        Pmax         CFE           Pm          Pmax        CFE
                                 0.3
                                                                                                                                    (kN)       (kN)                      (kN)         (kN)
                                 0.2                                 Experimental
                                                                                               0                                    8.09      24.45         0.33         6.78         18.62       0.36
                                 0.1                                 Numerical
                                                                                             0.2                                    7.71      22.63         0.34         6.29         17.79       0.35
                                  0
                                                                                             0.3                                    7.72      21.43         0.36         6.34         17.21       0.37
                                       0    0.1     0.2     0.3      0.4         0.5   0.6

                                                           D/b                               0.5                                    7.59      19.55         0.39         6.40         15.29       0.42

                                  Lightweight Structure Laboratory                                                                                             Structural Impact Engineering
Result and Analysis
 Parametric Study
                                        Square Columns with One Hole
                                                                                    25
                                                                                                                                   D/b = 0




                                             Instantaneous Crushing Force, P (kN)
                                                                                                                                   D/b = 0.2
                                                                                    20                                             D/b = 0.3
                                                                                                                                   D/b = 0.4
                                                                                                                                   D/b = 0.5
                                                                                    15                                             D/b = 0.6
                                                                                                                                   D/b = 0.7
                                                                                                                                   D/b = 0.8
                                                                                    10


                                                                                     5


                                                                                     0
                                                                                         0   20   40     60       80      100      120         140
                                                                                                       Displacement, mm



Deformation modes of square crash box
with b = 40: (a) D/b = 0.3; (b) D/b = 0.4.




    Lightweight Structure Laboratory                                                                                      Structural Impact Engineering
Result and Analysis
                           Parametric Study
                                                                                                Square Columns with One Hole
                               12                                                                                                                            60                                                    b = 40




                                                                                                                                Peak Crushing Force, P Max
Mean Crushing Force, Pm (kN)




                                                                                                                                                                                                                   b = 50
                               10                                                                                                                            50                                                    b = 60
                               8                                                                                                                             40                                                    b = 70
                                                                                                                                                                                                                   b = 80
                               6                                                                                                                             30




                                                                                                                                           (kN)
                                                                                                b = 40
                               4                                                                b = 50                                                       20
                                                                                                b = 60
                               2                                                                b = 70                                                       10
                                                                                                b = 80
                               0                                                                                                                             0
                                    0    0.2     0.4                         0.6                    0.8         1                                                 0            0.2    0.4          0.6       0.8            1

                                                       D/b                                                                                                                                  D/b


                                                                                          0.5
                                                         Crushing Force Efficiency, CFE




                                                                                          0.4

                                                                                          0.3
                                                                                                                                                                      b = 40
                                                                                          0.2                                                                         b = 50
                                                                                                                                                                      b = 60
                                                                                          0.1                                                                         b = 70
                                                                                                                                                                      b = 80
                                                                                           0
                                                                                                0         0.2       0.4         0.6                           0.8         1

                                                                                                                          D/b
                               Lightweight Structure Laboratory                                                                                                                                   Structural Impact Engineering
Result and Analysis
 Parametric Study
                                        Square Columns with Two Holes

                                                                                    25
                                                                                                                                  D/b = 0




                                             Instantaneous Crushing Force, P (kN)
                                                                                                                                  D/b = 0.2
                                                                                    20                                            D/b = 0.3
                                                                                                                                  D/b = 0.4
                                                                                                                                  D/b = 0.5
                                                                                    15                                            D/b = 0.6
                                                                                                                                  D/b = 0.7
                                                                                                                                  D/b = 0.8
                                                                                    10


                                                                                     5


                                                                                     0
                                                                                         0   20   40     60      80       100    120      140
                                                                                                       Displacement, mm


Deformation modes of square crash box
with b = 50: (a) D/b = 0.3; (b) D/b = 0.5.




    Lightweight Structure Laboratory                                                                                       Structural Impact Engineering
Result and Analysis
                               Parametric Study
                                                                                                    Square Columns with Two Holes
                                                                                                                                                                   60                                                   b = 40
                               12




                                                                                                                                 Peak Crushing Force, P Max (kN)
Mean Crushing Force, Pm (kN)




                                                                                                                                                                                                                        b = 50
                               10                                                                                                                                  50
                                                                                                                                                                                                                        b = 60
                                                                                                                                                                   40                                                   b = 70
                               8
                                                                                                                                                                                                                        b = 80
                               6                                                                                                                                   30
                                                                                                   b = 40
                               4                                                                   b = 50                                                          20
                               2                                                                   b = 60
                                                                                                   b = 70                                                          10
                               0                                                                   b = 80
                                                                                                                                                                   0
                                    0       0.2      0.4         0.6                                     0.8     1
                                                                                                                                                                        0         0.2       0.4         0.6       0.8            1
                                                           D/b
                                                                                                                                                                                                  D/b


                                                                                                   0.5
                                                                  Crushing Force Efficiency, CFE




                                                                                                   0.4

                                                                                                   0.3

                                                                                                   0.2                                                                  b = 40
                                                                                                                                                                        b = 50
                                                                                                   0.1                                                                  b = 60
                                                                                                                                                                        b = 70
                                                                                                    0                                                                   b = 80
                                                                                                         0     0.2   0.4                             0.6                    0.8         1

                                    Lightweight Structure Laboratory                                                       D/b                                                                    Structural Impact Engineering
Conclusions and Future Works

Conclusions

• The numerical simulation can predict the deformation mode
compared to the experiment results.

• It is found that inserting holes in a square box column will
decrease the peak crushing force and increase the CFE of the
column.




Lightweight Structure Laboratory                Structural Impact Engineering
Conclusions and Future Works

Future Works

• Perform numerical and experimental analysis to obtain a
higher value of CFE with different geometrical
configurations and location of the discontinuities.

• Perform numerical and experimental analysis to study the
effect of discontinuities for different material properties.




Lightweight Structure Laboratory                Structural Impact Engineering
Thank You




Lightweight Structure Laboratory               Structural Impact Engineering

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Numerical and experimental impact analysis of square crash box structure with holes

  • 1. Thesis Defence Numerical and Experimental Impact Analysis of Square Crash Box Structure with Holes By: Sahril Afandi Sitompul 23611004 Supervisors: Dr. Tatacipta Dirgantara Dr. Leonardo Gunawan Prof. Dr. Ichsan S. Putra Lightweight Structure Research Group Faculty of Mechanical and Aerospace Engineering Institut Teknologi Bandung Jl. Ganesha 10 Bandung 40132, INDONESIA
  • 2. Presentation Outline Introduction • Research Background • Research Objectives • Scope of works • Methodology Axial Crushing • Theoretical Analysis Finite Element Methods • Computational Mechanics •Explicit Finite Element Method • Structural Model • Modeling Procedure Experimental Tests • Tensile Testing • Dynamic Axial Crushing Testing Result and Analysis • Numerical and Experimental Results Conclusions and Future Works Lightweight Structure Laboratory Structural Impact Engineering
  • 3. Introduction Research Background Auto Motor und Sport spezial 1992, photo H.P. Seufert Lightweight Structure Laboratory Structural Impact Engineering
  • 4. Introduction Research Background T. Frank and K. Gruber. Numerical simulation of frontal impact and offset J. Marsolek and H. G. Reimerdes. Energy absorption of metallic cylindrical shells with induced non- collisions.Cray Research Inc., CRAY Channels: 2–6, 1992. axisymmetric folding patterns. International Journal of Impact Engineering 30 (2004) 1209-1223. Lightweight Structure Laboratory Structural Impact Engineering
  • 5. Introduction Research Background Lightweight Structure Research Group Concentrating on one of Crashworthiness Safety research areas: STRUCTURAL IMPACT PRESERVES SUFFICIENT SURVIVAL SPACE around the ENGINEERING occupants to limit bodily injury during an accident. CONTROLLING THE DECELERATION within an acceptable safety level to prevent the injury to the passenger. Lightweight Structure Laboratory Structural Impact Engineering
  • 6. Introduction Research Objectives To study the behavior of extruded aluminum thin-walled columns with square cross-section and to examine the EFFECT OF INSERTING OF CIRCULAR HOLE(S) as a crush initiator subjected to impact loading Crashworthy Meet acceptable Light-weight vehicle Peak Crushing safety level structure Performance Load Crushing Crushing Force Crash box Parameters Efficiency design Reduce fuel consumption Mean Crushing Reduce CO2 Force emissions Lightweight Structure Laboratory Structural Impact Engineering
  • 7. Introduction Scope of Works • The numerical and experimental analysis are limited to a square column with cross section 38 x 38 mm and thickness 1.15 mm subjected to axial impact load with initial velocity below 4.5 m/s. • In parametric study, the column width is varied from 40 to 80 mm with uniform thickness of 1.2 mm. The impact velocity is 4.5 m/s. • The material used in this work was the aluminum extrusion AA 6063-T1. •The holes inserted on the column have the diameter to column width ratios ranged from 0 – 0.8. Lightweight Structure Laboratory Structural Impact Engineering
  • 8. Introduction Methodology Axial Crushing of Square Crash Box Experimental Numerical Tensile Testing Parametric Study Axial Crushing Testing Numerical and Experimental Analysis Conclusions and Future Works Lightweight Structure Laboratory Structural Impact Engineering
  • 9. Axial Crushing Theoretical Analysis Loading Thin-Walled Structures Material Independent of Strain Rate Axial Crushing Column Dependent of Strain Rate Static Progressive Buckling Low Velocity (up to 10 m/s) Dynamic Progressive Buckling High Velocity Dynamic Plastic Buckling Lightweight Structure Laboratory Structural Impact Engineering N Jones. Structural Impact. 2003. Ly Hung Anh. 2007.
  • 10. Axial Crushing Theoretical Analysis Folding Mechanism of Square Column Annisa Jusuf. 2012. Super folding Element. Inextensional mode plastic deformation. Lightweight Structure Laboratory Structural Impact Engineering
  • 11. Axial Crushing Theoretical Analysis 60 Pmax Instantaneous Crushing Force Curve MEAN CRUSHING FORCE Instantaneous Crushing Force, P (kN) Mean Crushing Force Curve MAXIMUM PEAK CRUSHING 40 FORCE Pm CRUSHING FORCE EFFICIENCY 20 0 0 20 40 60 80 100 Crushing Length, (mm) Lightweight Structure Laboratory Structural Impact Engineering
  • 12. Finite Element Methods Computational Mechanics NANOMECHANICS & MICROMECHANICS SOLID MECHANICS CONTINUUM MECHANICS FLUID MECHANICS (CFD) SYSTEMS FLUID-STRUCTURE INTERACTION (FSI) DISCRETIZATION FINITE ELEMENT METHOD (FEM) SPATIAL BOUNDARY ELEMENT METHOD (BEM) FINITE DIFFERENCE METHOD (FDM) FINITE VOLUME METHOD (FVM) EXPLICIT SMOOTHED PARTICLE HYDRODYNAMICS FINITE ELEMENT (SPH) METHODS TIME EXPLICIT IMPLICIT Lightweight Structure Laboratory Structural Impact Engineering
  • 13. Finite Element Methods Explicit Finite Element Methods Used in LS-DYNA commercial code Non-iterative Formulations Small time step (conditional stability) Finite Element Steps Increment 1 Increment 2 Lightweight Structure Laboratory Structural Impact Engineering
  • 14. Finite Element Methods Structural Model Impact Impac Number b (mm) t (mm) D/b Velocity t Mass of Holes (m/s) (kg) Set 1 (Experimental and Numerical ) 0 4.3684 0.3 4.3751 38 1.15 1 45.5 0.5 4.4538 0.7 4.3824 Set 2 (Experimental and Numerical ) 0.2 4.3812 45.5 38 1.15 0.3 2 4.3602 0.5 4.4024 Set 3 (Numerical ) 40, 0,0.1, Lightweight Structure Laboratory 50,…,80 …,0.8 Structural Impact4.5 1&2 Engineering 80
  • 15. Finite Element Methods Modeling Procedure FINITE ELEMENT MODEL OF THE COLUMN IMPACTING mass 1 The impactor was modeled as a rigid body using hexahedral eight-node solid rigid element HOLE location VELOCITY 2 The hole was introduced in the column model to achieve a stable deformation Impact Velocity direction mode and reduce initial peak load during loading 4 3 BOUNDARY condition The column was fixed in all directions, the constraints are located on every nodes from the lower end of the 5 columns to 12 mm above to simulate the lower jig in the COLUMN wall experiment The column was fully modeled using The impactor was constrained in all direction except quadrilateral Belytscko-Tsay four-nodes shell along the vertical axis which coincides with the direction elements with size 1 mm x 1 mm of the impact in order to ensure the impacting mass did not rotate during impact Lightweight Structure Laboratory Structural Impact Engineering
  • 16. Experimental Tests Tensile Testing High Speed Material Testing Machine for INTERMEDIATE STRAIN RATE TENSILE TEST (strain rate 1/s, 10/s, 100/s) INSTRON 5585 for QUASI-STATIC TENSILE TEST (strain rate 0.001/s, 0.1/s) The behavior of AA 6063-T1 is INDEPENDENT OF THE STRAIN RATE Engineering Stress – Strain Curve Mechanical Properties of AA 6063 T1 160 AA 6063-T1 Young’s modulus, E (MPa) 7.32.104 Stress, σ (MPa) 120 Yield stress, y (MPa) 83.81 80 Tensile stress, u (MPa) 154 40 Poisson’s ratio,  0.3 Density,  (kg/mm3) 2.7×10–6 0 0 0.02 0.04 0.06 0.08 0.1 0.12 Lightweight Structure Laboratory Structural Impact Engineering Strain, ε
  • 17. Experimental Tests Dynamic Axial Crushing Testing Hoist Clamp DROP WEIGHT IMPACT TESTING Wheel MACHINE SPECIFICATIONS : Frame Weightening mass Max. Impact Mass 150 kg Impactor head Max. Impact Height 5m Guide column Speed sensor Max. Impact Velocity 9.8 m/s Specimen Load cell Steel plate Concrete base DAQ Data acquisition Schematic drawing and picture of equipment dropped weight impact testing machine in the Computer Lightweight Structure Laboratory, Faculty of Mechanical and Aerospace Engineering Institut Teknologi Bandung Lightweight Structure Laboratory Structural Impact Engineering
  • 18. Experimental Tests Dynamic Axial Crushing Testing Crushing Force History Provide the output Convert a physical Adjust the signal signal representing DAQ NI USB- property change into type and range of the the measurement in 6211, Sampling Rate an electrical signal output a digital code 250 kHz Wheatstone Bridge Strain Gage Lightweight Structure Laboratory Structural Impact Engineering
  • 19. Experimental Tests Dynamic Axial Crushing Testing Displacement History Trapezoidal Integration rule applied Lightweight Structure Laboratory Structural Impact Engineering
  • 20. Result and Analysis Square Tubes with One Hole COLLAPSE DEFORMATION MODES INSTANTANEOUS CRUSHING FORCE 25 Experimental Crushing Force, P (kN) 20 Experimental (smoothing) Numerical 15 10 5 0 0 10 20 30 40 50 60 70 square crash box with D/b = 0 (without hole) Crushing Length,  (mm) 25 Experimental Crushing Force, P (kN) 20 Experimental (smoothing) Numerical 15 Hole 10 location 5 0 square crash box with D/b = 0.3 0 10 20 30 40 50 60 Crushing Length,  (mm) Lightweight Structure Laboratory Structural Impact Engineering
  • 21. Result and Analysis Square Tubes with One Hole 10 30 10 30 Mean Crushing Force, Pm (kN) Peak Crushing Force, P Max Mean Crushing Force, Pm (kN) Peak Crushing Force, P Max 8 8 25 25 20 20 6 6 (kN) 15 15 (kN) 4 4 Experimental Experimental 10 10 Experimental Experimental 2 2 Numerical Numerical 55 Numerical Numerical 0 0 00 0 0 0.20.2 0.40.4 0.60.6 0.80.8 00 0.20.2 0.4 0.4 0.6 0.6 0.8 0.8 D/b D/b D/b D/b 0.5 Crushing Force Efficiency, CFE 0.4 Experimental Numerical 0.3 D/b Pm Pmax CFE Pm Pmax CFE (kN) (kN) (kN) (kN) 0.2 Experimental Experimenta 0 8.09 24.45 0.33 6.78 18.62 0.36 0.1 l Numerical 0.3 8.24 22.60 0.36 6.62 17.76 0.37 0.5 7.63 21.55 0.35 6.76 16.39 0.41 0 0.7 7.84 22.88 0.34 6.19 14.67 0.42 0 0.2 0.2 0.4 0.4 0.6 0.6 0.8 0.8 D/b D/b Lightweight Structure Laboratory Structural Impact Engineering
  • 22. Result and Analysis Square Tubes with Two Holes COLLAPSE DEFORMATION MODES INSTANTANEOUS CRUSHING FORCE 25 Experimental 20 Experimental (smoothing) Crushing Force, P (kN) Numerical 15 10 Hole location 5 0 0 10 20 30 40 50 60 70 Crushing Length,  (mm) square crash box with D/b = 0.2 Lightweight Structure Laboratory Structural Impact Engineering
  • 23. Result and Analysis Square Tubes with Two Holes 30 10 Peak Crushing Force, P Max (kN) Mean Crushing Force, Pm (kN) 25 8 20 6 15 4 Experimental 10 Experimental 2 Numerical 5 Numerical 0 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0 0.1 0.2 0.3 0.4 0.5 0.6 D/b D/b 0.5 Crushing Force Efficiency, CFE Experimental Numerical 0.4 D/b Pm Pmax CFE Pm Pmax CFE 0.3 (kN) (kN) (kN) (kN) 0.2 Experimental 0 8.09 24.45 0.33 6.78 18.62 0.36 0.1 Numerical 0.2 7.71 22.63 0.34 6.29 17.79 0.35 0 0.3 7.72 21.43 0.36 6.34 17.21 0.37 0 0.1 0.2 0.3 0.4 0.5 0.6 D/b 0.5 7.59 19.55 0.39 6.40 15.29 0.42 Lightweight Structure Laboratory Structural Impact Engineering
  • 24. Result and Analysis Parametric Study Square Columns with One Hole 25 D/b = 0 Instantaneous Crushing Force, P (kN) D/b = 0.2 20 D/b = 0.3 D/b = 0.4 D/b = 0.5 15 D/b = 0.6 D/b = 0.7 D/b = 0.8 10 5 0 0 20 40 60 80 100 120 140 Displacement, mm Deformation modes of square crash box with b = 40: (a) D/b = 0.3; (b) D/b = 0.4. Lightweight Structure Laboratory Structural Impact Engineering
  • 25. Result and Analysis Parametric Study Square Columns with One Hole 12 60 b = 40 Peak Crushing Force, P Max Mean Crushing Force, Pm (kN) b = 50 10 50 b = 60 8 40 b = 70 b = 80 6 30 (kN) b = 40 4 b = 50 20 b = 60 2 b = 70 10 b = 80 0 0 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 D/b D/b 0.5 Crushing Force Efficiency, CFE 0.4 0.3 b = 40 0.2 b = 50 b = 60 0.1 b = 70 b = 80 0 0 0.2 0.4 0.6 0.8 1 D/b Lightweight Structure Laboratory Structural Impact Engineering
  • 26. Result and Analysis Parametric Study Square Columns with Two Holes 25 D/b = 0 Instantaneous Crushing Force, P (kN) D/b = 0.2 20 D/b = 0.3 D/b = 0.4 D/b = 0.5 15 D/b = 0.6 D/b = 0.7 D/b = 0.8 10 5 0 0 20 40 60 80 100 120 140 Displacement, mm Deformation modes of square crash box with b = 50: (a) D/b = 0.3; (b) D/b = 0.5. Lightweight Structure Laboratory Structural Impact Engineering
  • 27. Result and Analysis Parametric Study Square Columns with Two Holes 60 b = 40 12 Peak Crushing Force, P Max (kN) Mean Crushing Force, Pm (kN) b = 50 10 50 b = 60 40 b = 70 8 b = 80 6 30 b = 40 4 b = 50 20 2 b = 60 b = 70 10 0 b = 80 0 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 D/b D/b 0.5 Crushing Force Efficiency, CFE 0.4 0.3 0.2 b = 40 b = 50 0.1 b = 60 b = 70 0 b = 80 0 0.2 0.4 0.6 0.8 1 Lightweight Structure Laboratory D/b Structural Impact Engineering
  • 28. Conclusions and Future Works Conclusions • The numerical simulation can predict the deformation mode compared to the experiment results. • It is found that inserting holes in a square box column will decrease the peak crushing force and increase the CFE of the column. Lightweight Structure Laboratory Structural Impact Engineering
  • 29. Conclusions and Future Works Future Works • Perform numerical and experimental analysis to obtain a higher value of CFE with different geometrical configurations and location of the discontinuities. • Perform numerical and experimental analysis to study the effect of discontinuities for different material properties. Lightweight Structure Laboratory Structural Impact Engineering
  • 30. Thank You Lightweight Structure Laboratory Structural Impact Engineering