http://scholars.ntou.edu.tw/handle/123456789/20862
Title: | Multiquadric and Chebyshev approximation to three-dimensional thermoelasticity with arbitrary body forces | Authors: | Chia-Cheng Tsai Tai-Wen Hsu |
Keywords: | Elasticity;Thermoelasticity;Dual reciprocity method;Method of particular solutions;Multiquadrics;Chebyshev polynomial | Issue Date: | Oct-2013 | Publisher: | Elsevier | Journal Volume: | 37 | Journal Issue: | 10 | Start page/Pages: | 1259–1266 | Source: | Engineering Analysis with Boundary Elements | 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. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/20862 | ISSN: | 0955-7997 | DOI: | 10.1016/j.enganabound.2013.06.002 |
Appears in Collections: | 河海工程學系 海洋工程科技學士學位學程(系) |
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