Shear Stability, Instability and Localization of Materials Exhibiting Thermal Softening, Strain Rate Sensitivity and Strain Hardening

[+] Author and Article Information
N. Charalambakis

Division of Physics and Applied Mechanics, School of Technology, Aristotle University, Thessaloniki, Greece

J. Energy Resour. Technol 111(4), 250-253 (Dec 01, 1989) (4 pages) doi:10.1115/1.3231432 History: Received June 01, 1988; Revised May 08, 1989; Online October 22, 2009


We consider the test-problem of simple shearing of a thermoviscoplastic solid subject to steady or time-dependent boundary velocities or shear forces. Previously derived stability and nonlocalization criteria are presented. The influence of boundary conditions on the time-asymptotic “solution,” the role of nonuniformities and the localization of plastic deformation are discussed. Finally, a perturbation analysis of homogeneous solution under steady boundary velocities or stresses of a material with a gradient-dependent flow stress is presented and “shear-banding” criteria are derived.

Copyright © 1989 by ASME
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