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论文类型：期刊论文

发表时间：2014-03-01

发表刊物：COMPOSITES PART B-ENGINEERING

收录刊物：SCIE、EI

卷号：58

页面范围：335-342

ISSN号：1359-8368

关键字：Defects; Interface/interphase; Computational modeling; Finite element analysis (PEA); Finite element discretized symplectic method

摘要：The method of symplectic series discretized by finite element is introduced for the stress analysis of structures having cracks at the interface of dissimilar materials. The crack is modeled by the conventional finite elements dividing into two regions: near and far fields. The unknowns in the far field are as usual. In the near field, a Hamiltonian system is established for applying the method of separable variables and the solutions are expanded in exact symplectic eigenfunctions. By performing a transformation from the large amount of finite element unknowns to a small set of coefficients of the symplectic expansion, the stress intensity factors, the displacements and stresses in the singular region are obtained simultaneously without any post-processing. The numerical results are obtained for various cracks lying at the bi-material interface, and are found to be in good agreement with the reference solutions for the interface crack problems. Some practical examples are also given. (C) 2013 Elsevier Ltd. All rights reserved.