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

Author:

Bleich H. H.1,Nelson Ivan2

Affiliation:

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

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

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

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