Effects of Texture on the Plastic Anisotropy of Orthorhombic Sheets of CubicMetals: A Group-Theoretic Analysis

摘要

A plastic potential with seven texture coefficients, which shows explicitly howcrystallographic texture would affect the plastic flow of sheet metals (e.g., aluminum) in metal-forming processes was developed. Formulae relating plastic strain ratios (r-values) of sheet metals to their texture coefficients, as predicted by this plastic potential, were derived. The derivation of this new plastic potential was based physically on the principle of material frame-indifference and mathematically on the theory of group representations and theory of invariants. The group-theoretic method described herein could be carried further if derivation of a plastic potential with higher texture coefficients should become desirable.