On Finite Anti-Plane Shear for Incompressible Elastic Materials.

Abstract

This paper is concerned with deformations corresponding to anti-plane shear in finite elastostatics. The principal result is a necessary and sufficient condition for a homogeneous, isotropic, incompressible material to admit nontrivial states of anti-plane shear. The condition is given in terms of the strain energy density characteristic of the material and is illustrated by means of special examples. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA029414

Entities

People

  • James K. Knowles

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Elastic Materials

Fields of Study

  • Mathematics

Readers

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