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Title: Multiquadric and Chebyshev approximation to three-dimensional thermoelasticity with arbitrary body forces
Authors: Chia-Cheng Tsai
Tai-Wen Hsu
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Elasticity
Dual reciprocity method
Method of particular solutionsMultiquadrics
Chebyshev polynomial
Date: 2013-10
Issue Date: 2018-10-19T06:27:06Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract: In this paper, analytical particular solutions of multiquadrics and Chebyshev polynomials associated with problems of three-dimensional thermoelasticity are derived, which provides a supplement to the review article of Cheng, Chen, Golberg and Rashed (Engineering Analysis with Boundary Elements 25 (2001), 377). In the derivation, the three coupled second-order partial differential equations (PDEs) are converted into a biharmonic equation. Then, the multiquadric and polynomial particular solutions of the biharmonic equation are obtained respectively by straight integrations and referring to the first author‘s recent study. For the multiquadric particular solutions, they are set to be infinitely differentiable by suitably arranging the coefficients of its Laurent series. And for the polynomial particular solutions, they can be represented explicitly and implemented without any book keeping. Numerical experiments are carried out to validate the derived particular solutions.
Relation: 37(10) pp.1259-1266
Appears in Collections:[Department of Harbor and River Engineering] Periodical Articles

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