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Stress intensity factor for transient thermal stresses in an infinite elastic solid containing an annular crack

Spannungsintensitätsfaktor für transiente Wärmespannungen in einem unendlichen elastischen Körper mit ringförmigem Ri\

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Summary

The present paper treats the transient thermal stress problem in an infinite, isotropic solid containing an annular crack. The elastic medium is cooled by time and position dependent temperature on the annular crack surface. It is very difficult to obtain the analytical expression for the temperature so that we use the finite difference method solely with respect to a time variable. Thus, the analytical solution for the temperature with respect to the spatial variables reduces to a dual integral equation. Results for the stress intensity factors are obtained numerically.

übersicht

Untersucht werden die transienten WÄrmespannungen in einem unendlichen elastischen Körper, der einen ringförmigen Ri\ enthÄlt. Das elastische Medium wird durch eine zeit- und ortsabhÄngige Temperaturverteilung auf der Ri\oberflÄche gekühlt. Da es schwierig ist, eine analytische Lösung für die Temperatur anzugeben, wird bezüglich der Zeit die Finite-Differenzen-Methode angewandt. Dann kann bezüglich der Ortskoordinaten eine analytische Lösung für die Temperatur in Form einer dualen Integralgleichung angegeben werden. Die SpannungsintensitÄtsfaktoren werden numerisch berechnet.

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, Shizuoka University, Hamamatsu, 432, Shizuoka, Japan

    N. Noda

  2. Dept. of Mechanical Engineering, Anan College of Technology, Anan, 774, Tokushima, Japan

    Y. Matsunaga (Research Associate) &  H. Nyuko

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  1. N. Noda
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  2. Y. Matsunaga
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  3. H. Nyuko
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Noda, N., Matsunaga, Y. & Nyuko, H. Stress intensity factor for transient thermal stresses in an infinite elastic solid containing an annular crack. Ing. arch 58, 1–8 (1988). https://doi.org/10.1007/BF00537194

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  • DOI: https://doi.org/10.1007/BF00537194

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