An Infinite Slab of Isotropic, Transversely Inhomogenous Elastic Material Subjected to Tension

Abstract

The dependence of the stress field on a continuous periodically varying stiffness which approximates a layered material is studied. This dependence is compared to the solution for the usual approximation of converting this class of problems to the superposition of an anisotropic one and a residual boundary problem. The region of applicability of the usual approximation is found to be as expected geometrically but surprisingly large as far as variation of stiffness is concerned.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0743545

Entities

People

  • Paul R. Paslay

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Composite Materials
  • Digital Computers
  • Elastic Materials
  • Equations
  • Materials
  • Mechanics
  • Modulus Of Elasticity
  • Perturbations
  • Residuals
  • Rock Mechanics
  • Shear Modulus
  • Shear Stresses
  • Stiffness
  • Stresses

Readers

  • Calculus or Mathematical Analysis
  • Reinforced Composite Materials