An efficient reduced computational method for nonlinear homogenization problems: the Hashin–Shtrikman type Finite Element method (HSFE)
An efficient reduced computational method for nonlinear homogenization problems: the Hashin–Shtrikman type Finite Element method (HSFE)
复制标题
非线性均质化问题的高效简化计算方法：HashinâShtrikman 型有限元方法 (HSFE)
DOI：
10.1002/pamm.201800146
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
S.Reese
中科院分区：
文献类型：
--
作者：
F. Cavaliere;S. Wulfinghoff;S.Reese
该方法结合了Hashin-Shtrikman型方法的小计算量和全场有限元解的精度。该方法的关键是一种基于数据聚类的模型降阶方案，大大减少了计算时间。解析切线算符的推导实现了微观尺度与宏观尺度的耦合。通过一个数值算例对所提出的方法在小应变的情况下进行了测试，其中在2D宏观结构的每个积分点上都附加了一个非线性RVE。与有限元模拟结果的比较表明，HSFE方法能够很好地捕捉整体和局部响应。
This contribution is dedicated to a numerically efficient homogenization method for nonlinear microstructures (HSFE), which combines the small computational effort of the Hashin‐Shtrikman type approach with the accuracy of full‐field finite element solutions. The key point of the method is a model order reduction scheme based on data‐clustering, which leads to a significant reduction of computational time. The derivation of the analytical tangent operator realises the coupling between the microscopic and macroscopic scale. The presented approach is tested in the context of small strains by a numerical example, where a nonlinear RVE is attached to each integration point of a 2D macrostructure. A comparison to the FE‐simulations shows that the global‐ and local‐responses are well captured by the HSFE method.
使用剪切带方法对简单弹塑性微观结构进行高效计算均质化
DOI：
--
发表时间：
2016
期刊：
影响因子：
--
作者：
S. Wulfinghoff;S. Reese
通讯作者：
S. Reese