The Axisymmetric Crack Problem in a Nonhomogeneous Medium

Abstract

In this paper the axisymmetric crack problem for a nonhomogeneous medium is considered. It is assumed that the shear modulus is a function of z approximated by mu = mu (sub 0) e to the alpha z power. This is a simple simulation of materials and interfacial zones with intentionally or naturally graded properties. The problem is a mixed mode problem and is formulated in terms of a pair of singular integral equations. With fracture mechanics applications in mind, the main results given are the stress intensity factors as a functions of the nonhomogeneity parameter alpha for various loading conditions. Also given are some sample results showing the crack opening displacements.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1992
Accession Number
ADA256955

Entities

People

  • F. Erdogan
  • M. Ozturk

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Boundary Value Problems
  • Ceramic Matrix Composites
  • Coatings
  • Differential Equations
  • Elastic Properties
  • Equations
  • Fracture (Mechanics)
  • Integral Equations
  • Materials
  • Mechanical Properties
  • Mechanics
  • Polynomials
  • Shear Modulus
  • Stress Intensity Factors
  • Stresses
  • Temperature Gradients

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Reinforced Composite Materials
  • Structural Dynamics.