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Effect of rigid inclusions in Griffith cracks in an infinite transversely isotropic medium

Der Einfluß von starren Einschlüssen in Griffith-Rissen in einem unendlichen transversal-isotropen Körper

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Summary

The problem of finding the stress distribution in an infinite transversely isotropic solid containing a Griffith crack is considered under conditions of plane strain. The state of stress is supposed to be due to a rigid inclusion which determines the crack profile over a specified region. It is assumed that the geometrical shape of the inclusion and its material properties are such as to permit a frictionless and complete fit. Quantities of physical interest, i.e. stress intensity factor and crack energy are derived and numerical results are given.

Zusammenfassung

Behandelt wird das Problem der Ermittlung der Spannungsverteilung in einem unendlichen transversal-isotropen Körper mit einem Griffith-Riß bei ebenem Verzerrungszustand. Der Spannungszustand sei durch einen, das Rißprofil in einem bestimmten Bereich bestimmenden starren Einschluß hervorgerufen. Ferner wird angenommen, daß Gestalt des Einschlusses und Materialeigenschaften eine reibungsfreie vollständige Passung gestatten. Größen von physikalischem Interesse wie Spannungsintensitätszahl und Rißenergie werden hergeleitet und numerische Ergebnisse angegeben.

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Authors and Affiliations

  1. Department of Mathematics, M. A. College of Technology, 462.007, Bhopal, India

    G. K. Dhawan

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  1. G. K. Dhawan
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Dhawan, G.K. Effect of rigid inclusions in Griffith cracks in an infinite transversely isotropic medium. Acta Mechanica 21, 115–126 (1975). https://doi.org/10.1007/BF01172831

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  • DOI: https://doi.org/10.1007/BF01172831

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