Analytical Solutions for the Plane-Strain Bifurcation of Compressible Solids

[+] Author and Article Information
J. P. Bardet

Civil Engineering Department, University of Southern California, Los Angeles, CA 90089-0242

J. Appl. Mech 58(3), 651-657 (Sep 01, 1991) (7 pages) doi:10.1115/1.2897245 History: Received September 21, 1989; Revised April 09, 1990; Online March 31, 2008


Analytical solutions are presented for the diffuse and localized bifurcations of compressible solids subjected to plane-strain loadings. The solutions generalize the works for incompressible solids of Biot (1965) and Hill and Hutchinson (1975). They are verified by comparing them to results previously established for incompressible solids and elastoplastic Mohr-Coulomb materials.

Copyright © 1991 by The American Society of Mechanical Engineers
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