The Energy Release Rate for a Quasi-Static Mode I Crack in a Nonhomogeneous Linearly Viscoelastic Body

Abstract

The Energy Release Rate (ERR) for the quasi-static problem of a semi-infinite mode I crack propagating through an inhomogeneous isotropic linearly viscoelastic body is examined. The shear modulus is assumed to have a power law dependence on depth from the plane of the crack and a very general behavior in time. A Barenblatt type failure zone is introduced in order to cancel the singular stress and a formula for the ERR is derived which explicitly displays the combined influences of material viscoelasticity and inhomogeneity. The ERR is calculated for both power law material and the standard linear solid and the qualitative features of the ERR are presented along with numerical illustrations.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1986
Accession Number
ADA175184

Entities

People

  • J. R. Walton
  • L. Schovanec

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Value Problems
  • Classification
  • Crack Tips
  • Cracks
  • Displacement
  • Elastic Materials
  • Energy
  • Equations
  • Materials
  • Mechanics
  • Military Research
  • Shear Modulus
  • Standards
  • Universities
  • Viscoelasticity

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).
  • Mechanical Engineering/Mechanics of Materials.