Steady Shearing in a Viscoplastic Solid.

Abstract

Steady shearing solutions are found as quadratures within the context of a simple theory of viscoplasticity which includes thermal softening and heat conduction. The solutions are illustrated by numerical examples for four commonly used versions of viscoplasticity, where each version has first been calibrated against the same hypothetical data set. It is found that, although they give results that differ in detail, the four flow laws predict qualitatively similar morphology and appear to give rough agreement with physical measurements of adiabatic shear bands. The conjecture is made that steady solutions correspond to central boundary layers for the full unsteady theory.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1987
Accession Number
ADA184341

Entities

People

  • Thomas W. Wright

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Equations
  • Equations Of Motion
  • Jet Propulsion
  • Materials
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Military Research
  • Plastic Flow
  • Plastic Properties
  • Shear Bands
  • Softening
  • Temperature Gradients
  • Viscoplasticity
  • War Colleges

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.
  • Theoretical Analysis.