Couple-Stress Solution to an Infinite Plate Bounded by an Elliptical Hole

Abstract

Couple-stresses solutions are obtained for an infinite tension elastic plate bounded at the interior by an elliptical hole with the static equilibrating tractions. The nominal tension in the plate is uniform along the major axis. The selection of the Mathieus' functions and the form of weighting functions in the boundary conditions match a particular class of boundary values which reduces upon limiting processes to the three limiting cases. These cases are ones with free stresses on the interior boundary: the couple-stresses solution for the degenerate circle, the couple-stresses solution for the degenerate crack, and the classical solution for the elliptical hole. Of particular interest is the degenerate crack problem.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0740550

Entities

People

  • F. D. Ju
  • W. J. Wang
  • Y. C. Hsu

Organizations

  • University of New Mexico

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cartesian Coordinates
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Equations
  • Geometry
  • Mechanical Engineering
  • Mechanics
  • Modulus Of Elasticity
  • New Mexico
  • Scientific Research
  • Shear Modulus
  • Stress Concentration
  • Two Dimensional
  • Wave Equations
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.