Plastic shearing of materials exhibiting strain hardening or strain softening

Athanasios Tzavaras*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)39-58
Number of pages20
JournalArchive for Rational Mechanics and Analysis
Volume94
Issue number1
DOIs
StatePublished - Mar 1 1986

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Mathematics(all)
  • Mechanics of Materials
  • Computational Mechanics

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