Elastic-Plastic Plane Waves With Combined Compressive and Two Shear Stresses in a Half Space

[+] Author and Article Information
R. P. Goel

Bell Telephone Labs, Columbus, Ohio

L. E. Malvern

Department of Engineering Science and Mechanics, University of Florida, Gainesville, Fla.

J. Appl. Mech 38(4), 895-898 (Dec 01, 1971) (4 pages) doi:10.1115/1.3408972 History: Received February 23, 1970; Revised July 06, 1970; Online July 12, 2010


The simple wave solutions with one compression and two shear impact loadings on the boundary of a half space of isotropic hardening material are obtained. Both the fast simple wave and slow simple wave solutions imply a radial loading projection in the τ2 , τ3 plane; i.e., in the plane of shear stress components. But the radial loading τ3 /τ2 ratio for the fast wave may be different from the ratio for the slow wave. The transition is accompanied by jumps both in τ2 and τ3 traveling at the elastic shear wave speed c2 .

Copyright © 1971 by ASME
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