Bounding Theorems for Stress Intensity Factors.

Abstract

Bounding theorems for the changes in elastic energy due to a crack in a finite body and crack tip Stress Intensity Factors are established by use of the variational principles of the theory of elasticity. It is shown that the change in elastic energy due to a crack in a finite body is larger than the change in energy due to the same crack in an infinite body with the same boundary conditions when stresses are prescribed on the external boundary, and smaller when displacements are prescribed. The energy changes can be expressed as functions of the crack tip Stress Intensity Factors and for special loadings, bounds for single mode Stress Intensity Factors are obtained. The obtained inequalities are in agreement with known numerical solutions of finite cracked bodies. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 22, 1981
Accession Number
ADA103010

Entities

People

  • Tamar Gottesman

Organizations

  • University of Pennsylvania

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundaries
  • Crack Tips
  • Cracks
  • Displacement
  • Elastic Properties
  • Energy
  • Engineering
  • Inequalities
  • Materials
  • Materials Science
  • Mechanical Engineering
  • Mechanics
  • Potential Energy
  • Stress Intensity Factors
  • Stresses
  • Variational Principles

Fields of Study

  • Engineering

Readers

  • Linear Algebra
  • Structural Dynamics.
  • Structural Health Monitoring of Composite Structures.