Axisymmetric Plane Stress Problems in Anisotropic Plasticity

[+] Author and Article Information
Wei Hsuin Yang

Department of Engineering Mechanics, The University of Michigan, Ann Arbor, Mich.

J. Appl. Mech 36(1), 7-14 (Mar 01, 1969) (8 pages) doi:10.1115/1.3564590 History: Received May 23, 1968; Revised October 14, 1968; Online September 14, 2011


Based on an established theory of anisotropic plasticity, a class of axisymmetric plane stress problems is solved for sheet metals which harden according to a power law and are isotropic in their plane. A new method of solution, the stress plane method, is used. The analytic solutions for the problems considered are obtained in the stress plane. The stress-concentration factors introduced by a hole or a rigid inclusion at the center of an infinite sheet are obtained for arbitrary degree of anisotropy and strain-hardening characteristics. The influence of anisotropy and strain-hardening on the deep-drawing problem is also studied. The results show that the type of anisotropy and strain-hardening assumed always influences the stress concentration and drawability in a favorable way.

Copyright © 1969 by ASME
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