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TECHNICAL PAPERS

Approximate Analysis of a Shear Band in a Thermoviscoplastic Material

[+] Author and Article Information
H.-G. Kim, S. Im

Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Science Town, Taejon 305-701 Korea

J. Appl. Mech 66(3), 687-694 (Sep 01, 1999) (8 pages) doi:10.1115/1.2791582 History: Received July 17, 1998; Revised March 31, 1999; Online October 25, 2007

Abstract

Shear localization is systematically examined with the aid of an approximate model for the three stages of deformation in the formation and development of a shear band, which comprise: the growth of inhomogeneous deformation, the stress collapse, and the post-collapse state. A basic model of one-dimensional simple shear deformation for a thermoviscoplastic material is employed with a linear thermal softening in the absence of strain hardening. The evolution of plastic strain rate at the center of the shear band is explicitly obtained, and an approximate scaling law for the critical strain, at which the stress collapse begins, is proposed in terms of material parameters and boundary velocity. All state variables including stress, plastic strain rate, and temperature after the stress collapse are evaluated, and the overshoot of the plastic strain rate during stress collapse is explained in terms of a nondimensional parameter and elastic unloading. Finally, numerical experiments confirm the analytical results.

Copyright © 1999 by The American Society of Mechanical Engineers
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