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论文类型：期刊论文

发表时间：2016-05-01

发表刊物：EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

收录刊物：SCIE、EI

卷号：57

页面范围：34-44

ISSN号：0997-7538

关键字：Quasi-conforming; B-net method; Mesh distortions

摘要：Severe accuracy loss will be caused on the occasion of mesh distortions and the calculation will even fail to be finished when the element becomes concave. This is a problem worth researching in finite element method. In this study, a novel concave-admissible quadrilateral plane element is developed within the framework of assumed displacement quasi-conforming finite element method. The B-net method is used for calculation of area integral items and gives results with high precision within convex and even concave quadrangles. Analysis shows the presented element can represent exactly displacement fields with second order polynomial terms in the Cartesian coordinates. Numerical results and comparisons with existing elements show that present element exhibit a remarkable insensitivity with extreme mesh distortions, as well as good accuracy. (C) 2015 Elsevier Masson SAS. All rights reserved.