The Effect of Constitutive Law Perturbations on Finite Antiplane Shear Deformations of a Semi-Infinite Strip

Abstract

This paper is concerned with assessing the effects of small perturbations in the constitutive laws on antiplane shear deformation fields arising in the theory of nonlinear elasticity. The mathematical problem is governed by a second-order quasilinear partial differential equation in divergence form. Dirichlet (or Neumann) boundary-value problems on a semi- infinite strip, with nonzero data on one end only, are considered. Such problems arise in investigation of Saint-Venant end effects in elasticity theory. The main result provides a comparison between two solutions, one of which is a solution to a simpler equation, for example Laplace's equation. Three examples involving perturbations of power-law material models are used to illustrate the results.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1993
Accession Number
ADA275720

Entities

People

  • C. O. Horgan
  • L. E. Payne

Organizations

  • University of Virginia

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Boundaries
  • Boundary Value Problems
  • Calculus Of Variations
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Functional Analysis
  • Geometry
  • Materials
  • Mathematics
  • Partial Differential Equations
  • Perturbations
  • Plastic Explosives
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.