This document discusses hardness testing methods. It defines hardness as the resistance to indentation or penetration in metallurgy. Hardness testing is performed for research and application purposes. The common hardness testing methods described are Brinell, Rockwell, Vicker, and ultrasonic hardness testing. Ultrasonic hardness testing uses piezoelectric transducers to convert ultrasonic frequencies into mechanical force and indentation, then measures the frequency shift to determine hardness.