LINEAR ELASTIC DIPOLAR PLATES.

Abstract

The linear dipolar field equations for an initially flat surface are presented, and are applied to an elastic isotropic surface. The equations separate into extensional and bending equations, and the extensional equations are discussed in detail. A general representation of the extensional solution is obtained, and is used to solve the stress concentration problem of an infinite initially flat surface with a circular hole subjected to uniform radial tension at infinity. The stress concentration factor differs from those obtained or implied by other theories (both classical and non-classical), and the differences are discussed. Agreement with the classical result is obtained in one limiting case. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0666308

Entities

People

  • E. L. Kyser

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Agreements
  • Differential Equations
  • Equations
  • Mathematics
  • Partial Differential Equations
  • Stress Concentration
  • Stresses

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science (Mechanical Engineering).