Finite difference approach for concurrent multiscale computations in solids

被引:0
作者
Tang, Shao-qiang [1 ]
机构
[1] Peking Univ, Dept Mech & Aerosp Engn, LTCS, Beijing 100871, Peoples R China
来源
PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS | 2007年
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D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this article, we described a finite differenced approach for multiscale computations of solids which was worked out. The major novelties include a finite difference scheme derived by a matching differential operator method, and a velocity interfacial condition across different scales. The interfacial condition is local in time and hence allows to treat solids with relatively strong nonlinearity and large deformation. Numerical results demonstrated the efficiency and accuracy of presented method.
引用
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页码:267 / 271
页数:5
相关论文
共 4 条
[1]  
LIU WK, 2005, NANO MECH MAT THEORY
[2]  
Tang S., FINITE DIFFERENCE AP
[3]   A pseudo-spectral multiscale method: Interfacial conditions and coarse grid equations [J].
Tang, SQ ;
Hou, TY ;
Liu, WK .
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 213 (01) :57-85
[4]   A mathematical framework of the bridging scale method [J].
Tang, SQ ;
Hou, TY ;
Liu, WK .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 65 (10) :1688-1713