Boundary knot method for heat conduction in nonlinear functionally graded material

Zhuo Jia Fu; Wen Chen; Qing Hua Qin

doi:10.1016/j.enganabound.2010.11.013

Boundary knot method for heat conduction in nonlinear functionally graded material

Zhuo Jia Fu, Wen Chen^*, Qing Hua Qin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

60 Citations (Scopus)

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.

Original language	English
Pages (from-to)	729-734
Number of pages	6
Journal	Engineering Analysis with Boundary Elements
Volume	35
Issue number	5
DOIs	https://doi.org/10.1016/j.enganabound.2010.11.013
Publication status	Published - May 2011

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10.1016/j.enganabound.2010.11.013

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title = "Boundary knot method for heat conduction in nonlinear functionally graded material",

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.",

keywords = "Boundary knot method, Heat conduction, Kirchhoff transformation, Meshless, Nonlinear functionally graded material",

author = "Fu, {Zhuo Jia} and Wen Chen and Qin, {Qing Hua}",

year = "2011",

month = may,

doi = "10.1016/j.enganabound.2010.11.013",

language = "English",

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pages = "729--734",

journal = "Engineering Analysis with Boundary Elements",

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T1 - Boundary knot method for heat conduction in nonlinear functionally graded material

AU - Fu, Zhuo Jia

AU - Chen, Wen

AU - Qin, Qing Hua

PY - 2011/5

Y1 - 2011/5

N2 - 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.

AB - 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.

KW - Boundary knot method

KW - Heat conduction

KW - Kirchhoff transformation

KW - Meshless

KW - Nonlinear functionally graded material

UR - http://www.scopus.com/inward/record.url?scp=78951490345&partnerID=8YFLogxK

U2 - 10.1016/j.enganabound.2010.11.013

DO - 10.1016/j.enganabound.2010.11.013

M3 - Article

SN - 0955-7997

VL - 35

SP - 729

EP - 734

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

IS - 5

ER -

Boundary knot method for heat conduction in nonlinear functionally graded material

Abstract

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