UNIQUENESS OF THE CONCENTRATED-LOAD PROBLEM IN THE LINEAR THEORY OF COUPLE-STRESS ELASTICITY

Abstract

A uniqueness theorem for concentrated-surface-load problems in the linear theory of couple-stress elasticity is presented. The concentrated loads are replaced by a statically equivalent stress system distributed over a semi- circular cut of radius rho about r = zero, where r is the distance measured from the point of application of the singular loads. In the limit as rho approaches zero, the solution to the original problem is recovered. It is found that the conventional- and couple-stress singularities can at most be zero/r.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0647239

Entities

People

  • George C. Sih
  • R. J. Hartranft

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mechanics
  • California
  • Engineering
  • Illinois
  • Jet Propulsion
  • Maryland
  • Massachusetts
  • Materials
  • Materials Science
  • Mechanics
  • Military Research
  • Model Basins
  • Munitions
  • New York
  • Ordnance Laboratories
  • United States

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mechanical Engineering/Mechanics of Materials.
  • Personnel Management and Statistics in the Military and Department of Defense