On the Energy Release Rate for Dynamic Transient Anti-Plane Shear Crack Propagation in a General Linear Viscoelastic Body

Abstract

The problem of a semi-infinite mode III crack that suddenly begins to propagate at a constant speed is considered for a general linear viscoelastic body. Simple closed form expressions are derived for the Laplace transform of the stress, displacement, and stress intensity factor. A Barenblatt type failure zone is assumed to exist at the crack tip and an expression for the total energy flux into the failure zone per unit crack advance, G(t), is derived. The short time asymptotic form of G is constructed and the rate at which it converges to its steady-state limit is studied. It is shown that the rate of convergence to steady-state is dependent upon crack speed and material properties.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA202942

Entities

People

  • J. M. Herrmann
  • J. R. Walton

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Contracts
  • Convergence
  • Crack Propagation
  • Crack Tips
  • Displacement
  • Elastic Materials
  • Equations
  • Intensity
  • Materials
  • Mathematics
  • Mechanics
  • Military Research
  • Steady State
  • Stress Intensity Factors
  • Stresses
  • Universities

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Materials Science (Mechanical Engineering).
  • Mathematical Modeling and Probability Theory.