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TECHNICAL BRIEFS

A Generalized Isotropic Yield Criterion

[+] Author and Article Information
W. F. Hosford

Department of Materials and Metallurgical Engineering, The University of Michigan, Ann Arbor, Mich.

J. Appl. Mech 39(2), 607-609 (Jun 01, 1972) (3 pages) doi:10.1115/1.3422732 History: Received May 26, 1971; Online July 12, 2010

Abstract

A generalized isotropic yield criterion of the form,

1−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.

Copyright © 1972 by ASME
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