Transient heat conduction in anisotropic and functionally graded media by local integral equations

被引：79

作者：

Sladek, V ^{[1
]}

Sladek, J

Tanaka, M

Zhang, C

机构：

[1] Slovak Acad Sci, Inst Construct & Architecture, Bratislava 84503, Slovakia

[2] Shinshu Univ, Dept Mech Syst Engn, Nagano 3808553, Japan

[3] Univ Siegen, Dept Civil Engn, D-57068 Siegen, Germany

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2005年 / 29卷 / 11期

关键词：

integral equation methods; fundamental solutions; integral balance equation; domain-type approximations; meshless interpolation; laplace transform; time stepping technique; heat conduction; functionally graded materials (FGMs); anisotropy;

D O I：

10.1016/j.enganabound.2005.05.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Reliable computational techniques are developed for the solution of two-dimensional (2-d) transient heat conduction problems in anisotropic media with continuously variable material coefficients. Two kinds of the domain-type interpolation, namely the standard domain elements and the meshless point interpolation, are adopted for the approximation of the spatial variation of the temperature field or its Laplace-transform. The coupling among the nodal values of the approximated field is given by integral equations considered on local sub-domains. Three kinds of local integral equations are derived from physical principles instead of using a weak-form formulation. The accuracy and the convergence of the proposed techniques are tested by several examples and compared with exact benchmark solutions, which are derived too. (C) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1047 / 1065

页数：19

共 32 条

[1]

Atluri S. N., 1998, Computer Modeling and Simulation in Engineering, V3, P187

[2]

Atluri S.N., 2002, MESHLESS LOCAL PETRO

[3]

Atluri S.N., 2004, The Meshless Method (MLPG) for Domain BIE Discretizations

[4] The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics [J].

Atluri, SN ;

Zhu, TL .

COMPUTATIONAL MECHANICS, 2000, 25 (2-3) :169-179

[5]

Atluri SN, 2002, CMES-COMP MODEL ENG, V3, P11

[6] A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics [J].

Atluri, SN ;

Zhu, T .

COMPUTATIONAL MECHANICS, 1998, 22 (02) :117-127

[7]

Balas J, 1989, Stress analysis by boundary element method

[8]

Brebbia CA., 1984, BOUNDARY ELEMENT TEC, DOI DOI 10.1007/978-3-642-48860-3

[9] USE OF FUNDAMENTAL GREENS FUNCTIONS FOR SOLUTION OF PROBLEMS OF HEAT-CONDUCTION IN ANISOTROPIC MEDIA [J].

CHANG, YP ;

KANG, CS ;

CHEN, DJ .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 1973, 16 (10) :1905-1918

[10] NUMERICAL INVERSION OF THE LAPLACE TRANSFORM - SURVEY AND COMPARISON OF METHODS [J].

DAVIES, B ;

MARTIN, B .

JOURNAL OF COMPUTATIONAL PHYSICS, 1979, 33 (01) :1-32

← 1 2 3 4 →