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IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics pp 251–260Cite as

Mode III Interface Crack Lying at Thin Nonhomogeneous Anisotropic Interface. Asymptotics Near the Crack Tip

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 113))

Abstract

Mode III problem for the interface crack tip lying at various nonideal (imperfect) interfaces in dissimilar elastic body is investigated. Nonclassical transmission conditions described by features of thin nonhomogeneous anisotropic elastic layer situated between the matched materials are discussed. For this aim, an accurate asymptotic technique is applied. Asymptoptic expansions of elastic solutions in three di erent cases (soft, stiff and comparable in values interphases) are obtained. It is shown that the asymptotic approximation depends essentially on types of the interface as well as its local geometrical and mechanical properties.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Rzeszóow University of Technology, W. Pola 2, 35-959, Rzeszóow, Poland

    Gennady S. Mishuris

Authors
  1. Gennady S. Mishuris
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Editor information

Editors and Affiliations

  1. University of Liverpool, UK

    A. B. Movchan

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© 2003 Kluwer Academic Publishers

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Mishuris, G.S. (2003). Mode III Interface Crack Lying at Thin Nonhomogeneous Anisotropic Interface. Asymptotics Near the Crack Tip. In: Movchan, A.B. (eds) IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Solid Mechanics and Its Applications, vol 113. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2604-8_25

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  • DOI: https://doi.org/10.1007/1-4020-2604-8_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1780-3

  • Online ISBN: 978-1-4020-2604-1

  • eBook Packages: Springer Book Archive

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