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Circular inclusion in an infinite elastic strip

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Abstract

This paper is concerned with the problem of a circular inclusion undergoing spontaneous dimensional changes in an infinite elastic strip with the straight edges free from displacements. Consequent elastic fields both in the inclusion and the surrounding strip are determined with the aid of complex variable technique. Closed form expressions for two sets of complex potentials and for various stress components are provided. Boundary stresses have been computed and their behaviour examined for varying situations.

Zusammenfassung

Die Arbeit betrifft das Problem eines kreisrunden Fremdkörpers, der sich innerhalb eines unendlichen elastischen Streifens mit verschiebungslosen Rändern deformiert. Die elastischen Felder im Fremdkörper und im Streifen werden mit der komplexen Methode bestimmt, und es werden für zwei Sätze komplexer Potentiale und für verschiedene Spannungskomponenten geschlossene Lösungen angegeben. Die Randspannungen werden berechnet und für verschiedene Fälle untersucht.

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Authors and Affiliations

  1. Institute of Science and Technology, University of Manchester, Manchester, England

    C. B. Sharma

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  1. C. B. Sharma
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Sharma, C.B. Circular inclusion in an infinite elastic strip. Journal of Applied Mathematics and Physics (ZAMP) 30, 983–990 (1979). https://doi.org/10.1007/BF01590495

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  • DOI: https://doi.org/10.1007/BF01590495

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