A BEM for transient thermoelastic analysis of a functionally graded layer on a homogeneous substrate under thermal shock

Authors

  • Alexander Ekhlakov,

    1. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9–11, D-57076 Siegen, Germany
    2. Faculty of Architecture and Civil Engineering, RheinMain University of Applied Sciences, Kurt-Schumacher-Ring 18, D-65197 Wiesbaden, Germany
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  • Oksana Khay,

    1. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9–11, D-57076 Siegen, Germany
    2. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NASU, 3b Naukova Str., 79060 L'viv, Ukraine
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  • Chuanzeng Zhang

    Corresponding author
    1. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9–11, D-57076 Siegen, Germany
    • phone +49 271 740 2173, fax +49 271 740 4074
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Abstract

Transient thermoelastic analysis of isotropic and linear thermoelastic bimaterials, which are constituted by a functionally graded (FG) layer attached to a homogeneous substrate, subjected to thermal shock is presented in this paper. For this purpose, a boundary element method for transient linear coupled thermoelasticity is developed. The material properties of the FG layer are assumed to be continuous functions of the spatial coordinates. The boundary-domain integral equations are derived by using the fundamental solutions of linear coupled thermoelasticity for the corresponding isotropic, homogeneous and linear thermoelastic solids in the Laplace-transformed domain. For the numerical solution, a collocation method with piecewise quadratic approximation is implemented. Numerical results for the dynamic stress intensity factors are presented and discussed. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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