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

doi:10.1016/j.cma.2015.07.001

CORC > 武汉岩土力学研究所 > 中科院武汉岩土力学所 > 岩土力学所知识全产出 > 期刊论文

	Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
	Zheng, Hong 1; Liu, Feng 2; Du, Xiuli 1
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	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
DOI	10.1016/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
出版者	ELSEVIER SCIENCE SA
WOS记录号	WOS:000361494700008
内容类型	期刊论文
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.