A Hybrid Fundamental-Solution-Based Finite Element Method for Transient Heat Conduction Analysis of Two-Dimensional Orthotropic Materials

被引：1
作者：
Liu, Huan [1 ]
Wang, Keyong [1 ]
Liu, Qing [2 ]
Li, Peichao [1 ]
机构：
[1] Shanghai Univ Engn Sci, Sch Mech & Automot Engn, Shanghai 201620, Peoples R China
[2] Army Engn Univ PLA, Field Engn Coll, Nanjing 210001, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2021年 / 18卷 / 04期
基金：
上海市自然科学基金;
关键词：
Finite element method; transient heat conduction; orthotropic material; modified Helmholtz equation; fundamental solution; radial basis function; POTENTIAL PROBLEMS; BOUNDARY; TIME;
D O I：
10.1142/S0219876221500031
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A new hybrid fundamental-solution-based finite element method (HFS-FEM) is developed for the transient heat conduction analysis of two-dimensional orthotropic materials. By using coordinate transformation and time-stepping approximation, the governing equation of the original problem is converted to the modified Helmholtz equation. In the solution procedure, the homogeneous solutions of the problem are sought by employing HFS-FEM while the particular solutions are approximated with the aid of radial basis function. HFS-FEM has many attractive features compared to the conventional FEM. The computational efficiency and convergence of the present method are examined through several numerical examples.
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页数：31
相关论文
共 54 条
[1]   HIGHER-ORDER METHODS FOR TRANSIENT DIFFUSION ANALYSIS [J].
ARGYRIS, JH ;
VAZ, LE ;
WILLAM, KJ .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1977, 12 (02) :243-278
[2]   APPLICATIONS OF FINITE ELEMENTS IN SPACE AND TIME [J].
ARGYRIS, JH ;
CHAN, ASL .
INGENIEUR ARCHIV, 1972, 41 (04) :235-&
[3]   FINITE ELEMENTS IN TIME AND SPACE [J].
ARGYRIS, JH ;
SCHARPF, DW .
NUCLEAR ENGINEERING AND DESIGN, 1969, 10 (04) :456-&
[4]   The Method of Fundamental Solutions without fictitious boundary for axisymmetric Stokes problems [J].
Barrero-Gil, A. .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2013, 37 (02) :393-400
[5]  
Bialecki R., 1992, BOUNDARY ELEMENT MET, P79
[6]  
Bruch J. C. Jr., 1974, International Journal for Numerical Methods in Engineering, V8, P481, DOI 10.1002/nme.1620080304
[7]   A novel hybrid finite element model for modeling anisotropic composites [J].
Cao, Changyong ;
Yu, Aibing ;
Qin, Qing-Hua .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2013, 64 :36-47
[8]   NEW HYBRID LAPLACE TRANSFORM FINITE-ELEMENT METHOD FOR 3-DIMENSIONAL TRANSIENT HEAT-CONDUCTION PROBLEM [J].
CHEN, CK ;
CHEN, TM .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1991, 32 (01) :45-61
[9]  
Chen W.H., 1988, COMPUT MECH, V4, P1
[10]   A General Algorithm for Evaluating Domain Integrals in 2D Boundary Element Method for Transient Heat Conduction [J].
Dong, Yunqiao ;
Zhang, Jianming ;
Xie, Guizhong ;
Lu, Chenjun ;
Li, Yuan ;
Han, Xu ;
Li, Guangyao .
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2015, 12 (02)
123456