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Stress intensity factors for external and penny-shaped cracks in transversely isotropic cylinders subjected to thermal shock

Spannungsintensitätsfaktoren für äußere und innere Risse in transversal isotropen Zylindern unter thermischem Stoß

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Summary

The paper discusses stress intensity factors for two thermal shock problems in transversely isotropic cylinders which contain either an external annular crack or a pennyshaped crack. The thermal stress field is analyzed by means of the potential function method for transversely isotropic solids. A method of successive approximation together with the Fourier integral and the Bessel series are used to satisfy the boundary conditions. Numerical calculations of the stress intensity factors are carried out for a beryllium oxide cylinder, which possesses transverse isotropy. The maximum stress intensity factors with respect to a time variable are approximated by a function of Biot's number and crack length.

Übersicht

In der vorliegenden Arbeit werden die Spannungsintensitätsfaktoren für zwei thermische Schockprobleme in transversal isotropen Zylindern diskutiert, die entweder einen Umfangriß oder einen kreisförmigen Innenriß enthalten. Das Wärmespannungsfeld wird erst mit Hilfe eines Potentialfunktionenansatzes für transversal isotrope Körper analysiert und die Randbedingungen durch sukzessive Approximationen in Verbindung mit Fourierintegralen und Reihen von Besselfunktionen erfüllt.

Numerische Lösungen werden ermittelt für die Spannungsintensitätsfaktoren von Rissen in Zylindern aus transversal isotropem Berylliumoxid. Ihr zeitliches Maximum wird durch eine geeignete Funktion der Biotzahl und der Rißlänge approximiert.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering, Shizuoka University, 432, Hamamatsu, Shizuoka, Japan

    N. Noda

  2. Department of Electronics and Control Engineering, Tsuyama National College of Technology, 708, Tsuyama, Okayama, Japan

    F. Ashida

  3. Department of Mechanical Engineering, Anan National College of Technology, 774, Anan, Tokusima, Japan

    Y. Matsunaga

Authors
  1. N. Noda
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  2. F. Ashida
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  3. Y. Matsunaga
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Noda, N., Ashida, F. & Matsunaga, Y. Stress intensity factors for external and penny-shaped cracks in transversely isotropic cylinders subjected to thermal shock. Arch. Appl. Mech. 64, 383–394 (1994). https://doi.org/10.1007/BF00788410

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  • DOI: https://doi.org/10.1007/BF00788410

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