Further Developments of Hill-Gotoh Theory of Anisotropic Sheet Metal Plasticity

Abstract:

An associated plasticity theory of combining Hill's 1948 quadratic and Gotoh's 1977 quartic stress functions [1,2] has recently been developed for modeling orthotropic steel sheet metals in plane stress [3]. Some further developments of the theory with a higher-order non-homogenous polynomial yield stress function are described in this study. Numerical examples are given to illustrate the expanded capabilities for modeling thin steel sheet metals in plane stress by the enhanced Hill-Gotoh anisotropic plasticity theory.

• Periodical: Solid State Phenomena (Volume 390)
• Pages: 189-195
• DOI: https://doi.org/10.4028/p-bdcs2V
• Online since: April 2026
• Authors: Wei Tong*
• Keywords: Convexity, Non-Homogeneous Stress Functions, Non-Quadratic Yield Criteria

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