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Plastic shearing of materials exhibiting strain hardening or strain softening

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Abstract

We consider the plastic shearing of a strain-rate dependent material exhibiting strain hardening or strain softening, subjected to steady shearing. We establish the existence of classical solutions and study the stability of uniform shearing. For materials exhibiting strain hardening or a moderate degree of strain softening we show that, as t → ∞, every solution approaches, at specific rates of convergence, uniform shearing; thus shear bands do not form.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, Indiana

    Athanassios E. Tzavaras

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  1. Athanassios E. Tzavaras
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Communicated by M. E. Gurtin

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Tzavaras, A.E. Plastic shearing of materials exhibiting strain hardening or strain softening. Arch. Rational Mech. Anal. 94, 39–58 (1986). https://doi.org/10.1007/BF00278242

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  • DOI: https://doi.org/10.1007/BF00278242

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