A Hardening Rule Between Stress Resultants and Generalized Plastic Strains for Thin Plates of Power-Law Hardening Materials

[+] Author and Article Information
C. H. Chou, J. Pan

Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

S. C. Tang

Ford Motor Company, Dearborn, MI 48121

J. Appl. Mech 60(2), 548-554 (Jun 01, 1993) (7 pages) doi:10.1115/1.2900828 History: Received August 15, 1990; Revised August 01, 1992; Online March 31, 2008


For power-law hardening materials, a stress resultant constitutive law of incremental plasticity nature for thin plates is constructed. The yield function in the stress resultant space is approximated in quadratic form and an equivalent stress resultant is defined. One of two parameters in the yield function is analytically determined based on the concept of complementary potential surface. The other is determined by the least square method to fit the complementary potential surface of Chou et al., (1991). In analogy to the work of Hill (1979), the equivalent work-conjugate generalized plastic strain rate is derived. Finally, the hardening rule between the equivalent stress resultant and generalized plastic strain is obtained based on the results of Chou et al. (1991) for power-law materials under proportional straining conditions.

Copyright © 1993 by The American Society of Mechanical Engineers
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