The Dynamic Energy Release Rate for a Steadily Propagating Anti-Plane Shear Crack in a Linearly Viscoelastic Body.

Abstract

The steady-state propagation of a semi-infinte, anti-plane shear crack is reconsidered for a general, infinite, homogeneous and isotropic linearly viscoelastic body. As with an earlier study, the inertial term in the equation of motion is retained and the shear modulus is only assumed to be positive, continuous, decreasing and convex. A Barenblatt type failure zone is introduced in order to cancel the singular stress, and a numerically convenient expansion for the dynamic Energy Release Rate (ERR) is derived for a rather general class of crack face loadings. The ERR is shown to have a complicated dependence on crack speed material properties with significant qualitative differences between viscoelastic and elastic material. The results are illustrated with numerical calculations for both power-law material and a standard linear solid. Keywords: Crack Growth; Fracture Mechanics; Dynamic Fracture.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA165654

Entities

People

  • Jay R. Walton

Organizations

  • Texas A&M University

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  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Classification
  • Contracts
  • Crack Propagation
  • Crack Tips
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  • Elastic Materials
  • Equations
  • Fracture (Mechanics)
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  • Shear Modulus
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Fields of Study

  • Mathematics

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  • Control Systems Engineering.
  • Materials Science (Mechanical Engineering).
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