Dynamic Shear Band Development in Dipolar Thermoviscoplastic Materials

Abstract

We study thermomechanical deformations of a viscoplastic body deformed in plane strain compression at a nominal strain-rate of 5000 sec-1. We develop a material model in which the second order gradients of the velocity field are also included as kinematic variables and propose constitutive relations for the corresponding higher order stresses. This introduces a material characteristic length l, in addition to the viscous and thermal lengths, into the theory. It is shown that the computed results become mesh independent for l greater than a certain value. Also, the consideration of higher order velocity gradients has a stabilizing effect in the sense that the initiation of shear bands is delayed and their growth is slower as compared to that for nonpolar (l=0) materials. © 1994 Springer-Verlag.

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

1432-0924; 0178-7675

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Springer, All rights reserved.

Publication Date

01 Jul 1994

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