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RESEARCH PAPERS

Plane Waves in an Elastic-Plastic Half-Space Due to Combined Surface Pressure and Shear

[+] Author and Article Information
H. H. Bleich

Institute of Flight Structures, Columbia University, New York, N. Y.

Ivan Nelson

Technical Staff, Institute for Defense Analyses, Arlington, Va.

J. Appl. Mech 33(1), 149-158 (Mar 01, 1966) (10 pages) doi:10.1115/1.3624972 History: Received February 24, 1965; Revised June 29, 1965; Online September 15, 2011

Abstract

The most general case of plane wave propagation, when normal and shear stresses occur simultaneously, is considered in a material obeying the von Mises yield condition. The resulting nonlinear differential equations have not been solved previously for any boundary-value problem, except for special situations where the differential equations degenerate into linear ones. In the present paper, the stresses in a half-space, due to a uniformly distributed step load of pressure and shear on the surface, are obtained in closed form.

Copyright © 1966 by ASME
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