Reduced order modeling in nonlinear homogenization
Reduced order modeling in nonlinear homogenization
复制标题
DOI：
10.1016/j.compstruc.2015.05.012
复制
发表时间：
2015-09
影响因子：
4.7
通讯作者：
F. Fritzen;S. Marfia;V. Sepe
中科院分区：
文献类型：
--
作者：
F. Fritzen;S. Marfia;V. Sepe
计算成本低廉的非线性均匀化方法在学术界和工业界备受追捧。然而，方法的准确性和可及性起着重要的作用。本研究研究了两种微结构固体材料的非线性均匀化方法：pRBMOR （Fritzen and Leuschner, 2013; Fritzen et al., 2014）和NUTFA （Sepe et al., 2013）。这两种方法都基于非均匀变换场分析的思想（NTFA; Michel and Suquet, 2003,2004）。在精度、存储要求和自由度降低的演变方面进行了详细的比较。给出了非比例荷载路径下二维和三维问题的数值算例。
Computationally inexpensive nonlinear homogenization methods are much sought after in academia and industry. However, the accuracy and the accessibility of the methods play an important role. Two nonlinear homogenization methods for microstructured solid materials are investigated in this work: the pRBMOR (Fritzen and Leuschner, 2013; Fritzen et al., 2014) and the NUTFA (Sepe et al., 2013). Both methods are based on ideas of the nonuniform transformation field analysis (NTFA; Michel and Suquet, 2003, 2004). A detailed comparison with respect to accuracy, storage requirements and the evolution of the reduced degrees of freedom is carried out. Numerical examples for two- and three-dimensional problems undergoing nonproportional load paths are presented.