Boundary knot method for heat conduction in nonlinear functionally graded material
Date
2011
Authors
Fu, Zhuo-Jia
Chen, Wen
Qin, Qing Hua
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Volume Title
Publisher
Elsevier
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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Keywords
Keywords: Boundary knot method; Fictitious boundary; Functionally graded; General solutions; Kirchhoff transformation; Kirchhoff transformations; Meshless; Method of fundamental solutions; Nonsingular; Numerical experiments; Variable transformation; Beams and girde Boundary knot method; Heat conduction; Kirchhoff transformation; Meshless; Nonlinear functionally graded material
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Source
Engineering Analysis with Boundary Elements
Type
Journal article
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2037-12-31
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