A Generalized Isotropic Yield Criterion

Abstract

A generalized isotropic yield criterion of the form, (σ1−σ2)n+(σ2−σ3)n+(σ1−σ3)n21/n=Y where σ1 ≥ σ2 ≥ σ3 and 1 ≤ n ≤ ∞, is proposed. The corresponding flow rules, Lode variables, and effective strain functions are presented. Experimental and theoretical data on yielding under combined stresses can be described by a single parameter, n.