Boundary Integral Equation Solution of Plane Elasticity Problems with High Stress Concentrations.

Abstract

A numerical method for determination of stresses in two-dimensional elastic bodies with high stress concentrations is presented. Major emphasis is placed on bodies with a notch having a fillet of small radius and bodies with a crack of small width. These static boundary value problems are formulated in terms of boundary integral equations of a type used previously by Barone and Robinson for sharp notches and cracks. For the fillet problem a small inner region containing the fillet and bounded by a circle is separated out and analyzed numerically under the loading system of each of the Williams' solution of the corresponding sharp notch. The results are then used to develop analytical solutions for the intermediate region adjacent to the fillet region. In this way the details of the boundary configuration of the fillet is reflected in a set of generalized displacements which characterize the intermediate field.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA069113

Entities

People

  • Arthur R. Robinson
  • Hassan Nikooyeh

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms
  • Counter IED
  • Ground and Sea Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force Facilities
  • Applied Mechanics
  • Boundary Value Problems
  • Civil Engineering
  • Differential Equations
  • Eigenvalues
  • Elastic Properties
  • Engineering
  • Engineers
  • Integral Equations
  • Materials
  • Materials Science
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • Modulus Of Elasticity
  • Plastic Explosives

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Linear Algebra
  • Mechanical Engineering/Mechanics of Materials.