ANALYSIS OF HEAT-CONDUCTION IN SOLIDS BY SPACE-TIME FINITE-ELEMENT METHOD

被引:19
作者
YU, JR
HSU, TR
机构
[1] Univ of Manitoba, Winnipeg, Manit,, Can, Univ of Manitoba, Winnipeg, Manit, Can
关键词
MATHEMATICAL TECHNIQUES - Finite Element Method;
D O I
10.1002/nme.1620211105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A functional in the form of a convolution of the temperature variation in the space-time domain has been derived. It has been used as the basis for a finite element formulation of heat conduction in solids. Numerical illustrations have indicted that the space-time finite element algorithm provides a more rapid convergence to the exact solutions than the usual finite element analysis with discretization in space only.
引用
收藏
页码:2001 / 2012
页数:12
相关论文
共 12 条
[1]  
ERGATOUDIS JG, 1968, INT J SOLIDS STRUCT, V4, P31
[2]   FINITE-ELEMENT ANALYSIS OF TIME-DEPENDENT PHENOMENA [J].
FRIED, I .
AIAA JOURNAL, 1969, 7 (06) :1170-&
[3]  
Gurtin M E, 1964, QUARTERLY APPLIED MA, V22, P252
[4]  
INCOROPERA FP, 1981, FUNDAMENTALS HEAT TR, P205
[5]   APPROXIMATE SOLUTIONS IN LINEAR COUPLED THERMOELASTICITY [J].
NICKELL, RE ;
SACKMAN, JL .
JOURNAL OF APPLIED MECHANICS, 1968, 35 (02) :255-&
[6]  
Oden J. T., 1969, International Journal for Numerical Methods in Engineering, V1, P247, DOI 10.1002/nme.1620010304
[7]  
Oden J. T, 1969, INT J NUM METH ENG, V1, P205
[8]  
VIRK PS, 1981, 1ST P INT C COMP CIV, P891
[9]  
WASHIZU K, 1962, 622 U WASH REP
[10]  
Zienkiewicz O. C., 1971, FINITE ELEMENT METHO, V10th