期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 260, 期 -, 页码 143-154出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2013.03.007
关键词
Nonuniform Transformation Field Analysis (NTFA); Hybridcomputational homogenization; Generalized Standard Materials (GSM); Reduced basis model order reduction; Mixed incremental variational formulation
资金
- Karlsruhe Institute of Technology (KIT) in the context of the Excellence Initiative of the German Research Foundation (DFG)
A new reduced basis method for the computer assisted homogenization of microheterogeneous materials is proposed. Key features of the Nonuniform Transformation Field Analysis (NTFA) [1,2] are taken as a point of departure. A short-coming of the NTFA method is its limitation to simple constitutive models on the microscale. A second disadvantage is the possible loss of accuracy when the reduced basis approximating the plastic strains has increasing dimension. Both issues are related to the simple evolution law for the mode activity coefficients, which are the new macroscopic internal variables of the homogenized material. In the present contribution a generalization of the NTFA is proposed in which the evolution of the new internal variables is derived from a mixed incremental variational formulation. The derivation is based on purely micro-mechanical considerations. The modification allows for arbitrary Generalized Standard Materials [3] on the microscopic scale including, e.g., crystal visco-plasticity. Additionally, the fidelity of the homogenized response is now directly linked to the reduced basis approximating the plastic strain field. Numerical examples for nonlinear viscous materials and single crystal plasticity outline the accuracy of the proposed multi-scale method. (c) 2013 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