Multiple reciprocity boundary element analysis of two-dimensional anisotropic thermoelasticity involving an internal arbitrary non-uniform volume heat source |
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| Institution: | 1. Department of Engineering, Durham University, South Road, Durham, DH1 3LE UK;2. School of Automotive Engineering, Wuhan University of Technology, Wuhan 430070, China;3. Hubei Key Laboratory of Advanced Technology for Automotive Components Wuhan University of Technology, Wuhan 430070, China;4. Hubei Collaborative Innovation Center for Automotive Components Technology Wuhan University of Technology, Wuhan 430070, China;5. Department of Engineering, University of Cambridge, Cambridge, CB2 1PZ UK |
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| Abstract: | In the direct boundary element method (BEM) formulation of anisotropic thermoelasticity, thermal loads manifest themselves as additional volume integral terms in the boundary integral equation (BIE). Conventionally, this requires internal cell discretisation throughout the whole domain. In this paper, the multiple reciprocity method in BEM analysis is employed to treat the general 2D thermoelasticity problem when the thermal loading is due to an internal non-uniform volume heat source. By successively performing the “volume-to-surface” integral transformation, the general formulation of the associated BIE for the problem is derived. The successful implementation of such a scheme is illustrated by three numerical examples. |
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