Three Dimensional Stress Fields in Cracked Plates.

Abstract

A theoretical investigation was made for the determination of the three dimensional stress field of a cracked plate, of an arbitrary thickness, 2h, and subjected to a uniform external load of mode I. The displacement and stress fields are expressed in terms of the displacement V projected onto the plane containing the crack. In addition the question of uniqueness is examined for a whole class of these three-dimensional crack problems. It is found that solutions to such problems in elastostatics are unique, provided they satisfy the condition of local finite energy everywhere. Finally, it is shown that the solution is complete and it appears that at the corner, where the crack front meets the free surface of the plate, the solution is not separable either in spherical or cylindrical coordinates. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1980
Accession Number
ADA094432

Entities

People

  • E. S. Folias

Organizations

  • University of Utah

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Continuity
  • Crack Tips
  • Differential Equations
  • Equations
  • Fracture (Mechanics)
  • Functional Analysis
  • Integral Equations
  • Integrals
  • Mechanics
  • Partial Differential Equations
  • Shell Scripts
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.