Material Stability and Bifurcation in Finite Elasticity.

Abstract

The theory of small superposed deformation for isotropic incompressible elastic materials is used to obtain necessary restriction on the form of the strain-energy function by requiring that the speed of propagation be real for waves that pass through a finitely deformed body of material (i.e., Hadamard stability criterion), and to determine critical loading conditions for a thick rectangular plate under which bifurcation solutions (i.e., adjacent equilibrium positions) can exist. The possibility of bifurcation under tensile loading, when one pair of faces of a plate are force free, is precluded by further material stability considerations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1977
Accession Number
ADA045052

Entities

People

  • K. N. Sawyers

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Chemical Engineering
  • Civil Engineering
  • Elastic Materials
  • Elastic Properties
  • Engineering
  • Equations
  • Materials
  • Mathematics
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • Naval Architecture
  • New York
  • Physics Laboratories
  • Schools

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.
  • Structural Health Monitoring of Composite Structures.