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The problem of interaction between a misfitting inclusion and a crack in an infinite elastic medium

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Abstract

The problem of interaction between a curvilinear crack (or a system of such cracks) and a misfitting inclusion of arbitrary shape (or a system of such inclusions) inside an infinite isotropic elastic medium of the same material as the inclusion was solved by using the complex potential technique and reducing the problem to a complex Cauchy type singular integral equation along the crack only (or the system of cracks).

Résumé

Le problème de l'influence mutuelle d'une fissure curviligne (ou d'un système de telles fissures) et une inclusion malajustée de forme arbitraire (ou un système de telles inclusions) dans un milieu infini élastique isotrope du même matériau que l'inclusion a été résolu en utilisant la technique des potentiels complexes et en réduisant ainsi le probléme à une équation intégrale singulière complexe du type Cauchy seulement le long de la fissure (ou du système des fissures).

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, The National Technical University of Athens, 5 K. Zographou Street, Zographou, 625, Athens, Greece

    P. S. Theocaris & N. I. Ioakimidis

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  1. P. S. Theocaris
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  2. N. I. Ioakimidis
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Theocaris, P.S., Ioakimidis, N.I. The problem of interaction between a misfitting inclusion and a crack in an infinite elastic medium. J Elasticity 9, 97–103 (1979). https://doi.org/10.1007/BF00040984

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  • DOI: https://doi.org/10.1007/BF00040984

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