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Antiplane shear crack in an infinite plate with a circular inclusion

Nichtebener Schubspannungsriß in einer unendlichen Platte mit einem kreisförmigen Einschluß

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Summary

The effect of an elastic circular inclusion of a different material on the stress state of a single-cracked infinite sheet subjected to anti-plane shear is investigated. The proposed method makes use of complex variables in conjunction with Muskhelishvili's technique and has given interesting results for the stress field in the cracked plate. Numerical results, derived from this technique, investigate the influence of the regional inhomogeneity, produced by the inclusion in the structure, on the variation of stress-intensity factors at the crack tips.

Übersicht

Es wird der Einfluß untersucht, den ein elastischer, kreisförmiger Einschluß aus verschiedenem Material in einer unendlichen Platte mit einem Riß, welche einer longitudinalen Schubspannung unterworfen ist, auf den Spannungszustand der Platte ausübt. Die vorgeschlagene Methode benutzt komplexe Variablen in Zusammenhang mit der Muskhelishvilischen Technik und gibt für den Spannungszustand in der Platte interessante Resultate. Numerische Ergebnisse wurden gefunden, um den Einfluß der Inhomogenität auf die Spannungsintensitätsfaktoren des Risses zu bestimmen.

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Authors and Affiliations

  1. Department of Theoretical and Applied Mechanics, The National Technical University of Athens, 5, Heroes of Polytechnion Avenue, GR 157 73, Athens, Greece

    P. S. Theocaris & C. B. Demakos

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  1. P. S. Theocaris
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  2. C. B. Demakos
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Theocaris, P.S., Demakos, C.B. Antiplane shear crack in an infinite plate with a circular inclusion. Ing. arch 55, 295–306 (1985). https://doi.org/10.1007/BF00538224

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