Dual form of discontinuous deformation analysis

doi:10.1016/j.cma.2016.03.008

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

	Dual form of discontinuous deformation analysis
	Zheng, Hong 2; Zhang, Peng 2; Du, Xiuli 1
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	2016
卷号	305 页码:196-216
关键词	Discontinuous deformation analysis Contact problems Finite-dimensional variational inequalities Open-close iteration Projection-contraction algorithm
ISSN号	0045-7825
DOI	10.1016/j.cma.2016.03.008
英文摘要	Discontinuous deformation analysis (DDA) is a numerical method for analyzing dynamic behaviors of an assemblage of distinct blocks, with the block displacements as the basic variables. The contact conditions are approximately satisfied by the open-close iteration, which needs to fix or remove repeatedly the virtual springs between blocks in contact. The results from DDA are strongly dependent upon stiffness of these virtual springs. Excessively hard or soft springs all incur numerical problems. This is believed to be the biggest obstacle to more extensive application of DDA. To avoid the introduction of virtual springs, huge efforts have been made with little progress related to low efficiency in solution. In this study, the contact forces, instead of the block displacements, are taken as the basic variables. Stemming from the equations of momentum conservation of each block, the block displacements can be expressed in terms of the contact forces acting on the block. From the contact conditions a finite-dimensional quasi-variational inequality is derived with the contact forces as the independent variables. On the basis of the projection-contraction algorithm for the standard finite-dimensional variational inequalities, an iteration algorithm, called the compatibility iteration, is designed for the quasi-variational inequality. The main processes can be highly parallelized with no need to assemble the global stiffness matrix. A number of numerical tests, including those very challenging, suggest that the proposed procedure has reached practical level in accuracy, robustness and efficiency, and the goal to abandon completely virtual springs has been reached. (C) 2016 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:000375330200009
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/3885]
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,Zhang, Peng,Du, Xiuli. Dual form of discontinuous deformation analysis[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2016,305:196-216.
APA	Zheng, Hong,Zhang, Peng,&Du, Xiuli.(2016).Dual form of discontinuous deformation analysis.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,305,196-216.
MLA	Zheng, Hong,et al."Dual form of discontinuous deformation analysis".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 305(2016):196-216.