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Generalized Dundurs Parameters and the Bimaterial Anisotropic Interfacial Crack

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Contemporary Research in Engineering Science

Abstract

The effect of elastic constants on stress fields in an anisotropic bimaterial composite is investigated. Two real matrices are the only bimaterial parameters needed to describe the stress fields for problems wherein tractions are prescribed at the outer boundary. Two convenient bimaterial matrices for the anisotropic bimaterial case are proposed, which are an extension of Dundurs parameters to the anisotropic bimaterial. Complete stress and displacement fields near the tip of a crack between two dissimilar anisotropic linear elastic homogeneous media are obtained in terms of the generalized Dundurs parameters, based on the complex function theory. A subinterface crack paralleling an interface between two dissimilar orthotropic solids is also analyzed. When the distance between the interface and crack is small compared to all other in-plane lengths, a universal relation between stress intensity factors of the subinterface crack and the stress intensity factors of the corresponding interface crack is obtained, with only one parameter undetermined, which is then extracted from solutions of an integral equation. A perturbation solution of the integral equation for small generalized Dundurs parameters is obtained. A complete form of stress and electric displacement fields in the vicinity of the tip of an interfacial crack, between two dissimilar anisotropic piezoelectric media, is also derived. New definitions of real-valued stress and electric displacement intensity factors for the piezoelectric interfacial crack are proposed.

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Authors and Affiliations

  1. Computational Mechanics Center, Georgia Institute of Technology, Atlanta, GA, 30332-0356, USA

    H. G. Beom

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  1. H. G. Beom
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Editors and Affiliations

  1. Dept. of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, 24061-0219, Blacksburg, VA, USA

    Romesh C. Batra

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© 1995 Springer-Verlag Berlin Heidelberg

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Beom, H.G. (1995). Generalized Dundurs Parameters and the Bimaterial Anisotropic Interfacial Crack. In: Batra, R.C. (eds) Contemporary Research in Engineering Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80001-6_5

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  • DOI: https://doi.org/10.1007/978-3-642-80001-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-80003-0

  • Online ISBN: 978-3-642-80001-6

  • eBook Packages: Springer Book Archive

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