期刊
COMPUTATIONAL MATERIALS SCIENCE
卷 42, 期 4, 页码 704-712出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.commatsci.2007.11.001
关键词
computational homogenization; multi-scale method; nonlinear conduction; POD; model reduction
In the present work, we propose a method combining a multi-scale approach and a model reduction technique based on proper orthogonal decomposition (POD) to solve highly nonlinear conduction problems in structures made of periodic heterogeneous materials. Following classical computational homogenization schemes, a representative volume element is associated with each integration point of the macrostructure. The local macroscopic response is computed directly on the RVE through solving an incremental problem with appropriate boundary and initial conditions. In the proposed method, the equations of the linearized micro problem are projected on the reduced basis, which is obtained using POD via preliminary computations. The set of unknowns and Lagrange multipliers associated with periodic boundary conditions is largely reduced. The technique called reduced model multi-scale method (R3M) lowers the computational costs. Both accuracy and efficiency are examined through numerical tests involving thermal and electric nonlinear conduction problems. (C) 2007 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据