Effects of Texture on the Plastic Anisotropy of Orthorhombic Sheets of Cubic Metals: A Group-Theoretic Analysis
Abstract
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 13, 1997
- Accession Number
- ADA333226
Entities
People
- Chi-sing Man
Organizations
- University of Kentucky