FINITE DEFORMATIONS OF INCOMPRESSIBLE SIMPLE SOLIDS

Abstract

Exact solutions of several problems which involve finite deformations of homogeneous isotropic incompressible simple solids are obtained by the inverse method. The deformations involved include bending, stretching, shearing, torsion and both cylindrical and spherical inflation. The corresponding stresses are expressed in terms of the functionals which describe the material response to homogeneous plane deformations. The results obtained apply, in particular, to incompressible viscoelastic solids.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1967
Accession Number
AD0659187

Entities

People

  • M. M. Carroll

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Applied Mechanics
  • Classification
  • Constitutive Equations
  • Contracts
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Materials
  • Mechanics
  • Security
  • Shear Modulus
  • Shear Stresses
  • Two Dimensional
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.