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General solution technique for transient thermoelasticity of transversely isotropic solids in cylindrical coordinates

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Summary

Goodier has proposed the thermoelastic potential function in order to analyze thermoelastic problems for isotropic solids. The thermoelastic problem can be reduced to the elastic problem by his technique. Elastic problems are in general analyzed by the generalized Boussinesq solutions and the Michell function. This paper discusses a new solution technique for thermoelastic problems of transversely isotropic solids in cylindrical coordinates. The present solution technique consists of five fundamental solutions which are developed from the Goodier's thermoelastic potential function, the generalized Boussinesq solutions and the Michell function. Considering the relations among the material constants of transverse isotropy, the present solution technique can be classified into two cases. One of them can be reduced to the three solution techniques above which are specifically for isotropic solids only. As an application of the present solution technique, a transient thermoelastic problem in a transversely isotropic cylinder with an external crack is analyzed.

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Author notes

  1. F. Ashida

    Present address: Department of Mechanical Engineering, Tsuyama National College of Technology, 708, Tsuyama, Okayama, Japan

  2. N. Noda

    Present address: Department of Mechanical Engineering, Faculty of Engineering, Shizuoka University, 432, Hamamatsu, Shizuoka, Japan

  3. I. A. Okumura

    Present address: Department of Civil Engineering, Kitami Institute of Technology, 090, Kitami, Hokkaido, Japan

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    1. F. Ashida
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    2. N. Noda
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    3. I. A. Okumura
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    Ashida, F., Noda, N. & Okumura, I.A. General solution technique for transient thermoelasticity of transversely isotropic solids in cylindrical coordinates. Acta Mechanica 101, 215–230 (1993). https://doi.org/10.1007/BF01175607

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    • DOI: https://doi.org/10.1007/BF01175607

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