Equilibrium Shocks in Plane Deformations of Incompressible Elastic Materials.

Abstract

This paper is concerned with piecewise smooth plane deformations in an isotropic, incompressible elastic material. An explicit necessary and sufficient condition for the existence of piecewise homogeneous equilibrium states is established, and the set of all such states is precisely characterized. A particularly simple expression is derived for the driving traction on a surface of discontinuity in the deformation gradient.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1987
Accession Number
ADA188696

Entities

People

  • James K. Knowles
  • Rohan Abeyaratne

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Differential Equations
  • Discontinuities
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Materials
  • Mechanical Energy
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • New York
  • Partial Differential Equations
  • Phase Transformations
  • Shear Modulus
  • Shear Stresses
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.