期刊名称：Journal of Computational Science and Technology
电子版ISSN：1881-6894
出版年度：2009
卷号：3
期号：1
页码：101-114
DOI：10.1299/jcst.3.101
出版社：The Japan Society of Mechanical Engineers
摘要：An efficient homogenization method for nonlinear problems is introduced. We have already developed a homogenization technique using characteristic deformation mode superposition that avoids prohibitive computational cost. However, in the mode superposition technique, the approximation error created depends on the analysis case. In this paper a new method is proposed, in which the same accuracy as the exact method is preserved by solving the microscopic equilibrium equation, while approximating the tangential matrix of the multi-scale equilibrium equation using the mode superposition method. The performance of the proposed method is examined together with the block LU factorization algorithm, and satisfactory results are obtained.
关键词：Homogenization Method;Nonlinear;Finite Element Analysis;Algorithm;Block LU Factorization;Heart
