Boundary knot method for heat conduction in nonlinear functionally graded material

被引：51

作者：

Fu, Zhuo-Jia ^{[1
,2
]}

Chen, Wen ^{[1
]}

Qin, Qing-Hua ^{[2
]}

机构：

[1] Hohai Univ, Dept Engn Mech, Ctr Numer Simulat Software Engn & Sci, Nanjing, Jiangsu, Peoples R China

[2] Australian Natl Univ, Sch Engn, Canberra, ACT 0200, Australia

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2011年 / 35卷 / 05期

关键词：

Boundary knot method; Kirchhoff transformation; Nonlinear functionally graded material; Heat conduction; Meshless; PETROV-GALERKIN METHOD; RADIAL BASIS FUNCTIONS; FUNDAMENTAL-SOLUTIONS; GREENS-FUNCTIONS; ELEMENT METHOD; MESHLESS; EQUATIONS; STEADY; BEM;

D O I：

10.1016/j.enganabound.2010.11.013

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：729 / 734

页数：6

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