Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
513105 | Engineering Analysis with Boundary Elements | 2011 | 6 Pages |
Abstract
This paper firstly derives the nonsingular general solution of heat conduction in nonlinear functionally graded materials (FGMs), and then presents boundary knot method (BKM) in conjunction with Kirchhoff transformation and various variable transformations in the solution of nonlinear FGM problems. The proposed BKM is mathematically simple, easy-to-program, meshless, high accurate and integration-free, and avoids the controversial fictitious boundary in the method of fundamental solution (MFS). Numerical experiments demonstrate the efficiency and accuracy of the present scheme in the solution of heat conduction in two different types of nonlinear FGMs.
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Authors
Zhuo-Jia Fu, Wen Chen, Qing-Hua Qin,