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论文类型：期刊论文

发表时间：2014-04-01

发表刊物：COMPUTATIONAL MECHANICS

收录刊物：SCIE、EI、Scopus

卷号：53

期号：4

页面范围：659-685

ISSN号：0178-7675

关键字：Extended multiscale finite element method (EMsFEM); Numerical base function; Heterogeneous material; Algorithm complexity

摘要：Extended multiscale finite element method (EMsFEM) has been proved to be an efficient method for the mechanical analysis of heterogeneous materials. The key factor for efficiency and accuracy of EMsFEM is the numerical base functions (NBFs). The paper summarizes the general method for constructing NBFs and proposes a generalized isoparametric interpolation based on the rigid displacement properties (RDPs) of NBFs. We prove that the NBFs constructed by linear, periodic and rotational angle boundary conditions satisfy the RDPs, which is independent with the shape and material properties of unit cells. The properties of NBFs for oversampling technique are also comprehensively discussed. The algorithm complexity is discussed in theoretical and numerical aspects, which concludes that the computation quantity of EMsFEM is much smaller than the direct solutions. The algorithm is validated by linear analysis of the materials with random impurities and holes and the efficiency is improved further by parallel computing.