Non-axisymmetric thermal stress of a functionally graded coated circular inclusion in an infinite matrix |
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| Institution: | 1. Centre de mathématiques appliquées, École polytechnique, CNRS, Université Paris-Saclay, 91128 Palaiseau, France;2. Laboratoire Jean-Kuntzmann, CNRS, Université Grenoble-Alpes, BP 53, 38041 Grenoble cedex 9, France;3. SIMaP, Université Grenoble-Alpes, BP 53, 38041 Grenoble cedex 9, France;1. Institute of Refrigeration and Cryogenics, Shanghai Jiao Tong University, Shanghai 200240, China;2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;3. New Energy Vehicle Division of SAIC, Shanghai 201804, China;1. State Key Laboratory of Chemical Resource Engineering, School of Science, Beijing University of Chemical Technology, Beijing, 100029, P.R. China;2. State Key Laboratory of Organic-Inorganic Composites, Beijing University of Chemical Technology, Beijing 100029, P.R. China |
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| Abstract: | This paper is to study the non-axisymmetric two-dimensional problem of thermal stresses in an infinite matrix with a functionally graded coated circular inclusion based on complex variable method. With using the method of piece-wise homogeneous layers, the general solution for the functionally graded coating having radial arbitrary elastic properties is derived when the matrix is subjected to uniform heat flux at infinity, and then numerical results are presented for several special examples. It is found that the existence of the functionally graded coating can change interfacial thermal stresses, and choosing proper change ways of the radial elastic properties in the coating can obviously reduce the thermal stresses. |
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| Keywords: | Thermal stress Functionally graded coating Inclusion |
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