Nonlinear Homogenization Algorithms with Low Computational Cost

Journal of Computational Science and Technology

Toshiaki HISADA¹  Takumi WASHIO¹  Jun-ichi OKADA¹ 

[1]Graduate School of Frontier Sciences, University of Tokyo

关键词: Homogenization Method;    Nonlinear;    Finite Element Analysis;    Algorithm;    Block LU Factorization;    Heart;   

DOI  :  10.1299/jcst.3.101

学科分类：地球科学(综合)

来源: Japan Academy

【 摘 要 】

References(12)Cited-By(1)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.

【 授权许可】

Unknown