Elastic-plastic boundaries in the propagation of plane and cylindrical waves of combined stress-Reference-Cited by-同舟云学术

Elastic-plastic boundaries in the propagation of plane and cylindrical waves of combined stress

Published:1970 Issue:4 Volume:27 Page:441-449
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Ting T. C. T.

Abstract

A general study is given of plane and cylindrical wave propagation of combined stress in an elastic-plastic medium. The coefficients of the governing differential equations, when written in matrix notation, are symmetric matrices and can be divided into submatrices each of which has a special form. The relations between the stresses on both sides of an elastic-plastic boundary are derived. Also presented are the restrictions on the speed of an elastic-plastic boundary.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1970-27-04/S0033-569X-1970-99812-3/S0033-569X-1970-99812-3.pdf

Reference14 articles.

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3. T. C. T. Ting and Ning Nan, Plane waves due to combined compressive and shear stresses in a half-space, J. Appl. Mech. 36, 189–197 (1969)

4. Jeffrey T. Fong, Elastic-plastic wave in a half-space of a linearly work-hardening material for coupled shear loadings, Tech. Rept. No. 161, Div. of Eng. Mech., Stanford University, Stanford, Calif., May 1966

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