Effects of Texture on the Plastic Anisotropy of Orthorhombic Sheets of Cubic Metals: A Group-Theoretic Analysis
Final technical rept. 15 Sep 94-14 Sep 97
KENTUCKY UNIV LEXINGTON
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A plastic potential with seven texture coefficients, which shows explicitly how crystallographic 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.
- Properties of Metals and Alloys