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Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method

文献类型：期刊论文

作者Zheng, Hong1; Liu, Feng2; Du, Xiuli1
刊名COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
出版日期2015
卷号295页码:150-171
关键词Brittle fracture Crack initiation and growth Nonlinear complementarity problem Numerical manifold method Moving least squares interpolation
ISSN号0045-7825
DOI10.1016/j.cma.2015.07.001
英文摘要The full response of a brittle structure containing multiple cracks to loading under the servo control is of vital importance in the evaluation of properties of the structure. During crack growth, the fracture toughness condition at all the crack tips as well as the equilibrium condition should be obeyed, leading to a nonlinear complementarity problem (NCP). The vector-valued function in the NCP depends implicitly on the cracking increments which in turn determine the stress field. The stress field can be obtained through solving a mixed variational problem. Since the degrees of freedom in the discrete variational problem vary with cracking not only in magnitude but also in number, the Jacobian matrix of the NCP is hard to compute and, it cannot be expected to be solved by the Newton methods that involve the calculation of Jacobian matrices. Therefore, a well-scaled projection-contraction algorithm is designed. The proposed procedure is able to simulate growth of multiple cracks in a natural way, allowing the crack tips to stop anywhere with no sensitivity to node configuration or cracking increments. Through the analysis of some examples that have been widely tested, many interesting and profound phenomena are found which have never been revealed. (C) 2015 Elsevier B.V. All rights reserved.
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:000361494700008
出版者ELSEVIER SCIENCE SA
源URL[http://119.78.100.198/handle/2S6PX9GI/3768]  
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,Liu, Feng,Du, Xiuli. Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2015,295:150-171.
APA Zheng, Hong,Liu, Feng,&Du, Xiuli.(2015).Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,295,150-171.
MLA Zheng, Hong,et al."Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 295(2015):150-171.

入库方式： OAI收割

来源：武汉岩土力学研究所

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