Correlating the plastic strain ratio with ultrasonic velocities in textured metals

The ability to form metals into useful shapes is often dictated by their microstructure and texture. For planar anisotropic sheets, the plastic strain ratio, R, varies with the tensile direction and is associated with the earing behavior in deep drawing applications. A method for predicting the anisotropy of the plastic strain ratio from measurements of ultrasonic velocities is proposed. The calculations are based on the assumption that both the plastic strain ratio and the ultrasonic velocities display the statistical symmetries of the crystal orientation distribution function (ODF). The proposed formula is based on a theoretical calculation of the anisotropy of the R value and the ultrasonic velocities for 28 different textures. Examples of Al killed steel, Fe, Al, Cu and brass are given. 17 ref.--AA(UK/US).