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Numerical solution for thermal confocal elliptic dissimilar layers in plane elasticity

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Abstract

This paper provides a stress analysis for multiple confocal elliptic dissimilar layers with thermal loadings. The layers are under different temperature distributions. In the problem, no static loading is applied. The different assumed values of the thermal expansion coefficients and temperatures for two layers become the generalized loading. The medium is composed of many confocal elliptic dissimilar layers. The conformal mapping method is used in the paper throughout. The complex potentials are expressed in the form of Laurent series in the ring region. The transfer matrix method is used to study the continuity condition for the stress and displacement along the interfaces. Two cases, or the infinite matrix and the finite matrix, are studied in this paper. For two cases, several numerical results are provided.

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Authors and Affiliations

  1. Division of Engineering Mechanics, Jiangsu University, Zhenjiang, 212013, Jiangsu, People’s Republic of China

    Y. Z. Chen

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  1. Y. Z. Chen
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Correspondence to Y. Z. Chen.

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Chen, Y.Z. Numerical solution for thermal confocal elliptic dissimilar layers in plane elasticity. Acta Mech 227, 2233–2244 (2016). https://doi.org/10.1007/s00707-016-1626-1

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  • DOI: https://doi.org/10.1007/s00707-016-1626-1

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