New strategies for some issues of numerical manifold method in simulation of crack propagation

doi:10.1002/nme.4620

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

	New strategies for some issues of numerical manifold method in simulation of crack propagation
	Zheng, Hong 1; Xu, Dongdong 2
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
	2014
卷号	97 期号:13 页码:986-1010
关键词	numerical manifold method mathematical cover physical cover variational principle stress intensity factor 1 r singularity kinked cracks mesh independency
ISSN号	0029-5981
DOI	10.1002/nme.4620
英文摘要	Aiming to solve, in a unified way, continuous and discontinuous problems in geotechnical engineering, the numerical manifold method introduces two covers, namely, the mathematical cover and the physical cover. In order to reach the goal, some issues in the simulation of crack propagation have to be solved, among which are the four issues to be treated in this study: (1) to reduce the rank deficiency induced by high degree polynomials as local approximation, a new variational principle is formulated, which suppresses the gradient-dependent DOFs; (2) to evaluate the integrals with singularity of 1/r, a new numerical quadrature scheme is developed, which is simpler but more efficient than the existing Duffy transformation; (3) to analyze kinked cracks, a sign convention for argument in the polar system at the crack tip is specified, which leads to more accurate results in a simpler way than the existing mapping technique; and (4) to demonstrate the mesh independency of numerical manifold method in handling strong singularity, a mesh deployment scheme is advised, which can reproduce all singular locations of the crack with regard to the mesh. Corresponding to the four issues, typical examples are given to demonstrate the effectiveness of the proposed schemes. Copyright (c) 2013 John Wiley & Sons, Ltd.
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	WILEY-BLACKWELL
WOS记录号	WOS:000332952000003
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3579]
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,Xu, Dongdong. New strategies for some issues of numerical manifold method in simulation of crack propagation[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2014,97(13):986-1010.
APA	Zheng, Hong,&Xu, Dongdong.(2014).New strategies for some issues of numerical manifold method in simulation of crack propagation.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,97(13),986-1010.
MLA	Zheng, Hong,et al."New strategies for some issues of numerical manifold method in simulation of crack propagation".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 97.13(2014):986-1010.