The Crack Problem for an Orthotropic Half Plane Stiffened by Elastic Films

Abstract

In this paper, various contact and crack problems for an orthotropic substrate, stiffened by elastic films, are considered. The film is modeled as a membrane and the substrate as an orthotropic half-plane with the principal axes of orthotropy parallel and perpendicular to the boundary. The problem is formulated in terms of a system of singular integral equations. Various asymptotic analyses are carried out in order to determine the nature of the stress singularities. The special cases for which the solution is obtained and results are provided include the stiffened half-plane without the crack, the cracked half-plane without any stiffeners, the orthotropic half-plane with a single stiffener and a crack emanating from the endpoint of the stiffener, and a broken stiffener on a cracked half-plane. In each case the influence of the relative crack/stiffener dimensions, the film/substrate stiffness ratios, and the material orthotropy on the stress intensity factors is studied and some sample results are given.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1992
Accession Number
ADA256471

Entities

People

  • F. Erdogan
  • Ravi Mahajan
  • Y. T. Chou

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Crack Tips
  • Elastic Properties
  • Equations
  • Films
  • Integral Equations
  • Integrals
  • Intensity
  • Materials
  • Materials Science
  • Mechanical Engineering
  • Mechanics
  • Membranes
  • Shear Stresses
  • Stiffness
  • Stress Intensity Factors
  • Stresses

Readers

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