RVE computations with error control and adaptivity: the power of duality
RVE computations with error control and adaptivity: the power of duality
复制标题
具有误差控制和自适应性的 RVE 计算：对偶的力量
DOI：
10.1007/s00466-006-0108-z
复制
发表时间：
2007
影响因子：
4.1
通讯作者：
K. Runesson
中科院分区：
文献类型：
--
作者：
F. Larsson;K. Runesson
计算均匀化的目标是通过rve计算获得宏观尺度响应，通常是给定宏观尺度变形的宏观尺度应力。本文系统地研究了狄利克雷边界条件和诺伊曼边界条件对RVE的影响。在宏观尺度应力张量的误差控制方面进行了自适应计算。这需要相应的对偶解。作为一个新的结果，展示了相同的对偶解如何方便地用于计算算法切线刚度张量，从而展示了“对偶性的力量”。
The goal of computational homogenization is to obtain the macro-scale response, normally in terms of macro-scale stress for given macro-scale deformation, via RVE-computations. In this paper we investigate, in a systematic manner, the effects of Dirichlet and Neumann boundary conditions on the RVE. Adaptive computations are carried out with respect to, in particular, control of the error in the macro-scale stress tensor. This requires the corresponding dual solutions. As a new result, it is shown how the same dual solutions can be conveniently used in computing the algorithmic tangent stiffness tensor, thereby demonstrating the “power of duality”.