Multiple interacting planar cracks in an anisotropic multilayered medium under an antiplane shear stress: A hypersingular integral approach

W. T. Ang, Abba Gumel

Research output: Contribution to journalArticle

Abstract

The problem of determining the stress field around an arbitrary number of arbitrarily-located planar cracks in an anisotropic elastic half-space which adheres perfectly to an infinitely-long elastic strip is considered. The strip is made up of several layers of anisotropic materials which are perfectly bonded to one another. The multilayered medium is assumed to undergo an antiplane deformation. Suitable integral expressions are used to represent the displacement and the stress, leading to a system of hypersingular integral equations to be solved. For a specific example of the problem, which involves particular transversely-isotropic materials, the hypersingular integral equations are solved numerically, in order to calculate the relevant crack tip stress intensity factors.

Original languageEnglish (US)
Pages (from-to)297-303
Number of pages7
JournalEngineering Analysis with Boundary Elements
Volume18
Issue number4
DOIs
StatePublished - Dec 1996
Externally publishedYes

Fingerprint

Anti-plane Shear
Hypersingular Integrals
Hypersingular Integral Equation
Anisotropic media
Anisotropic Media
Shear Stress
Integral equations
Strip
Shear stress
Crack
Cracks
Anisotropic Material
Transversely Isotropic
Crack Tip
Stress Intensity Factor
Stress Field
Stress intensity factors
Crack tips
Half-space
Calculate

Keywords

  • Cracks
  • Hypersingular integral formulation
  • Multilayered half-space

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

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AB - The problem of determining the stress field around an arbitrary number of arbitrarily-located planar cracks in an anisotropic elastic half-space which adheres perfectly to an infinitely-long elastic strip is considered. The strip is made up of several layers of anisotropic materials which are perfectly bonded to one another. The multilayered medium is assumed to undergo an antiplane deformation. Suitable integral expressions are used to represent the displacement and the stress, leading to a system of hypersingular integral equations to be solved. For a specific example of the problem, which involves particular transversely-isotropic materials, the hypersingular integral equations are solved numerically, in order to calculate the relevant crack tip stress intensity factors.

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