Computational homogenization based on a weak format of micro-periodicity for RVE-problems
Computational homogenization based on a weak format of micro-periodicity for RVE-problems
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DOI：
10.1016/j.cma.2010.06.023
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发表时间：
2011-01-01
影响因子：
7.2
通讯作者：
Vafadari, R.
中科院分区：
文献类型：
--
作者：
Larsson, F.;Runesson, K.;Vafadari, R.
考虑了先验假设尺度分离的计算均匀化，通过对代表性体积元素(RVE：S)进行平均来获得宏观尺度应力。基于位移涨落场弱微周期的假设，提出了一种新的RVE问题的变分形式。值得注意的是，边界牵引力的独立有限元离散(拉格朗日乘子)允许在传统的“强”周期性和Neumann边界条件之间进行参数化转换。本文考虑了宏观应变控制的标准情况。数值结果证明了其关于(1)位移和拉力的近似以及(2)微结构随机实现的RVE-SIZE的收敛性质。(C)2010爱思唯尔B.V.保留所有权利。
Computational homogenization with a priori assumed scale separation is considered, whereby the macroscale stress is obtained via averaging on Representative Volume Elements (RVE:s). A novel variational formulation of the RVE-problem, based on the assumption of weak micro-periodicity of the displacement fluctuation field, is proposed. Notably, independent FE-discretization of boundary tractions (Lagrange multipliers) allows for a parameterized transition between the conventional "strong" periodicity and Neumann boundary conditions. In this paper, the standard situation of macroscale strain control is considered. Numerical results demonstrate the convergence properties with respect to (1) the approximation of displacement and tractions and (2) the RVE-size for random realizations of the microstructure. (C) 2010 Elsevier B.V. All rights reserved.