Condensed form of complementarity formulation for discontinuous deformation analysis  

作　　者：LI XiaoKai ZHENG Hong 

机构地区：[1]State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics,Chinese Academy of Sciences [2]Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology

出　　处：《Science China(Technological Sciences)》2015年第9期1509-1519,共11页中国科学（技术科学英文版）

基　　金：supported by the National Basic Research Program of China("973"Project)(Grant Nos.2011CB013505&2014CB047100);the National Natural Science Foundation of China(Grant No.11172313)

摘　　要：While the classical discontinuous deformation analysis(DDA) is applied to the analysis of a given block system, one must preset stiffness parameters for artificial springs to be fixed during the open-close iteration. To a great degree, success or failure in applying DDA to a practical problem is dependent on the spring stiffness parameters, which is believed to be the biggest obstacle to more extensive applications of DDA. In order to evade the introduction of the artificial springs, this study reformulates DDA as a mixed linear complementarity problem(MLCP) in the primal form. Then, from the fact that the block displacement vector of each block can be expressed in terms of the contact forces acting on the block, the condensed form of MLCP is derived, which is more efficient than the primal form. Some typical examples including those designed by the DDA inventor are reanalyzed, proving that the procedure is feasible.

关 键 词：discontinuous deformation analysis contact and impact complementarity theory non-smooth analysis open-close iteration 

分 类 号：TU45[建筑科学—岩土工程]