SHEARING OF MATERIALS EXHIBITING THERMAL SOFTENING OR TEMPERATURE DEPENDENT VISCOSITY.

Athanasios Tzavaras*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

We consider the adiabatic shearing of an incompressible non-Newtonian liquid with temperature dependent viscosity, subjected to steady shearing of the boundary. Identical equations govern the plastic shearing of a solid exhibiting thermal softening and strain rate sensitivity with constitutive relation obeying a certain power law. We establish that every classical solution approaches a uniform shearing solution as t yields plus infinity at specific rates of convergence. Therefore, no shear bands formation is predicted for materials of this type.

Original languageEnglish (US)
Pages (from-to)1-12
Number of pages12
JournalQuarterly of Applied Mathematics
Volume44
Issue number1
DOIs
StatePublished - Jan 1 1986

ASJC Scopus subject areas

  • Applied Mathematics

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