Geometric Instabilities in Isotropic Plastic Solids Under Increasing Uniaxial Compression

[+] Author and Article Information
J. B. Newman

Westinghouse Electric Corporation, Bettis Atomic Power Laboratory, West Mifflin, Pa.

J. Appl. Mech 39(2), 431-437 (Jun 01, 1972) (7 pages) doi:10.1115/1.3422696 History: Received April 01, 1970; Revised November 01, 1971; Online July 12, 2010


This analysis seeks three-dimensional instabilities of uniaxial compressive flow in isotropic, strain-hardening, rigid-plastic materials of the Mises and maximum shear stress types. No instabilities are found for Mises materials. Maximum shear materials display axisymmetric, “deflectional”, and “higher-order” buckling. For increasingly slender specimens, the deflectional buckling process merges into that of the Shanley theory. The axisymmetric mode raises the possibility that instabilities contribute to the double axial bulging of ductile compression specimens reported by Nádái.

Copyright © 1972 by ASME
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