Reexamination of Jumps Across Quasi-Statically Propagating Surfaces Under Generalized Plane Stress in Anisotropically Hardening Elastic-Plastic Solids

[+] Author and Article Information
R. Narasimhan, A. J. Rosakis

Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125

J. Appl. Mech 54(3), 519-524 (Sep 01, 1987) (6 pages) doi:10.1115/1.3173063 History: Received June 10, 1986; Revised October 28, 1986; Online July 21, 2009


Strong discontinuities across quasi-statically propagating surfaces in anisotropic elastic-plastic solids under generalized plane stress are reexamined allowing for some generality in constitutive response and taking into account the phenomenon of necking. Jumps in stresses are ruled out on the basis of material stability postulates and a previous approach (by Pan, 1982) is discussed. It is noted that for elastic-perfectly plastic solids, sliding velocity discontinuities occur under restrictive and exceptional conditions (when both the surface and its normal are stress characteristics) for generalized plane stress as compared to plane strain. Necks may form along (stress) characteristic directions with the relative velocity vector orthogonal to the other family of characteristics.

Copyright © 1987 by ASME
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