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On a Displacement Based Solution to an Antiplane Crack Problem for Inhomogeneous Anisotropic Elastic Materials

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Abstract

This paper employs a displacement based method to examine an antiplane crack problem for an inhomogeneous elastic material in which the elastic moduli vary continuously with the spatial coordinates. Expressions for the crack tip stress intensity factors and the crack displacement are obtained in terms of Chebyshev polynomials. Numerical results are obtained for some particular inhomogeneous elastic materials.

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Authors and Affiliations

  1. School of Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia

    David L. Clements

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  1. David L. Clements
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Correspondence to David L. Clements.

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Clements, D.L. On a Displacement Based Solution to an Antiplane Crack Problem for Inhomogeneous Anisotropic Elastic Materials. J Elast 103, 137–152 (2011). https://doi.org/10.1007/s10659-010-9274-5

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  • DOI: https://doi.org/10.1007/s10659-010-9274-5

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