The Quasi-Static Propagation of a Plane Strain Crack in a Power-Law Inhomogeneous Linearly Visoelastic Body.

Abstract

An analysis is presented of the steady-state propagation of a semi-infinite mode I crack for an infinite inhomogeneous, linearly viscoelastic body. The shear modulus is assumed to have a power-law dependence on depth from the plane of the crack. Moreover, both a general and a power-law behavior in time for the shear modulus are considered. A simple closed form expression for the normal component of stress in front of the propagating crack is derived which exhibits explicity the form of the stress singularity and its material dependency. The crack profile is examined and its dependence on the spatial and time behavior of the shear modulus is determined. Keywords: Viscoelasticity; Crack Growth; Fracture Mechanics; Dynamic Fracture

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA165714

Entities

People

  • Jay R. Walton
  • Lawrence Schovanec

Organizations

  • Texas A&M University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundary Value Problems
  • Classification
  • Contracts
  • Crack Tips
  • Integral Equations
  • Materials
  • Mathematics
  • Mechanics
  • Military Research
  • Security
  • Shear Modulus
  • Square Roots
  • Stress Intensity Factors
  • Time Dependence
  • Transfer Functions
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Fields of Study

  • Engineering

Readers

  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).