Adiabatic Shear Banding in Plane Strain Problems

[+] Author and Article Information
R. C. Batra, De-Shin Liu

Department of Mechanical and Aerospace Engineering and Engineering Mechanics, University of Missouri-Rolla, Rolla, Mo. 65401-0249

J. Appl. Mech 56(3), 527-534 (Sep 01, 1989) (8 pages) doi:10.1115/1.3176122 History: Received July 29, 1988; Revised November 18, 1988; Online July 21, 2009


Plane strain thermomechanical deformations of a viscoplastic body are studied with the objective of analyzing the localization of deformation into narrow bands of intense straining. Two different loadings, namely, the top and bottom surfaces subjected to a prescribed tangential velocity, and these two surfaces subjected to a preassigned normal velocity, are considered. In each case a material defect, flaw, or inhomogeneity is modeled by introducing a temperature bump at the center of the specimen. The solution of the initial boundary value problem by the Galerkin-Adams method reveals that the deformation eventually localizes into a narrow band aligned along the direction of the maximum shearing strain. For both problems, bands of intense shearing appear to diffuse out from the center of the specimen.

Copyright © 1989 by ASME
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