A four-node quadrilateral element fitted to numerical manifold method with continuous nodal stress for crack analysis
Zheng, Hong1; Sun, Guanhua2; Yang, Yongtao2; Fu, Xiaodong2
刊名COMPUTERS & STRUCTURES
2016
卷号177页码:69-82
关键词Numerical manifold method Quad4-CNS(NMM) element Stress intensity factor Crack propagation Continuous nodal stress
ISSN号0045-7949
DOI10.1016/j.compstruc.2016.08.008
英文摘要Formulations of a four-node quadrilateral element fitted to numerical manifold method (NMM) with continuous nodal stress called Quad4-CNS (NMM) element for two-dimensional (2D) crack analysis are presented. This Quad4-CNS (NMM) element can be considered as a development of the recently published four-node quadrilateral element with continuous nodal stress (Quad4-CNS). In contrast to the four node iso-parametric quadrilateral element (Quad4), the Quad4-CNS element has higher order of global approximations, much better accuracy and continuous nodal stress. Moreover, it is free from the "linear dependence" which otherwise cripples many of the partition of unity (PU) based methods with high order global approximations. Due to the adoption of two cover systems, namely, the mathematical cover and physical cover, the NMM is capable of solving continuous and discontinuous problems in a unified way. The purpose of this paper is to synergize the advantages of both the Quad4-CNS element and the NMM to precisely model linear elastic fracture problems. A number of numerical examples indicate the accuracy and robustness of the present Quad4-CNS (NMM) element. (C) 2016 Elsevier Ltd. All rights reserved.
WOS研究方向Computer Science ; Engineering
语种英语
出版者PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号WOS:000386989300006
内容类型期刊论文
源URL[http://119.78.100.198/handle/2S6PX9GI/3955]  
专题岩土力学所知识全产出_期刊论文
国家重点实验室知识产出_期刊论文
作者单位1.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ
2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn ;
推荐引用方式
GB/T 7714
Zheng, Hong,Sun, Guanhua,Yang, Yongtao,et al. A four-node quadrilateral element fitted to numerical manifold method with continuous nodal stress for crack analysis[J]. COMPUTERS & STRUCTURES,2016,177:69-82.
APA Zheng, Hong,Sun, Guanhua,Yang, Yongtao,&Fu, Xiaodong.(2016).A four-node quadrilateral element fitted to numerical manifold method with continuous nodal stress for crack analysis.COMPUTERS & STRUCTURES,177,69-82.
MLA Zheng, Hong,et al."A four-node quadrilateral element fitted to numerical manifold method with continuous nodal stress for crack analysis".COMPUTERS & STRUCTURES 177(2016):69-82.
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