Frictional contact algorithm study on the numerical simulation of large deformations in deep soft rock tunnels  

作　　者：GUO Hongyun CHEN Xin HE Manchao XI Shouzhong TANG Juzhen 

机构地区：[1]School of Mechanics & Civil Engineering, China University of Mining & Technology, Beijing 100083, China [2]State Key Laboratory for GeoMechanics and Deep Underground Engineering, Beijing 100083, China [3]Beijng HPDI Geotechnical Investigation & Surving Co., Ltd., Beijing 100088, China [4]Beijing FEGEN Software Co., Ltd., Beijing 100098, China

出　　处：《Mining Science and Technology》2010年第4期524-529,共6页矿业科学技术（英文版）

基　　金：subsidized by special funds for the National Basic Research Program of China (No.2002cb412708);supported by the Opening Funds of the State Key Laboratory of Hydroscience and Engineering of China (No.sklhse-2007-D-02)

摘　　要：There exist three types of nonlinear problems in large deformation processes of deep softrock engineering, i.e., nonlin- earity caused by material, geometrical and contact boundary. In this paper, the numerical method to tackle the nonlinear eontact and large deformation problem in A Software on Large Deformation Analysis for Soft Rock Engineering at Great Depth was presented. In the software, based on Lagrange multiplier method and Coulomb friction law, kinematic constraints on contact boundaries were introduced in functional function, and the finite element equations was established for two incremental large deformation analyses models, polar decomposition model and additive decomposition model. For every incremental loading step, by searching for the contact points in the potential contact interfaces （the excavation boundaries）, the Lagrange multipliers, i.e., contact forces are cal- culated iteratively by Gauss-Seidel method, and justified through satisfy the inequalities of static constraint on contact boundaries. With the software, large deformation and frictional contact of a transport roadway were analyzed numerically by the two models. The numerical examples demonstrated the efficiency of the method used in the software.There exist three types of nonlinear problems in large deformation processes of deep softrock engineering, i.e., nonlinearity caused by material, geometrical and contact boundary. In this paper, the numerical method to tackle the nonlinear contact and large deformation problem in A Software on Large Deformation Analysis for Soft Rock Engineering at Great Depth was presented. In the software, based on Lagrange multiplier method and Coulomb friction law, kinematic constraints on contact boundaries were introduced in functional function, and the finite element equations was established for two incremental large deformation analyses models, polar decomposition model and additive decomposition model. For every incremental loading step, by searching for the contact points in the potential contact interfaces (the excavation boundaries), the Lagrange multipliers, i.e., contact forces are calculated iteratively by Gauss-Seidel method, and justified through satisfy the inequalities of static constraint on contact boundaries. With the software, large deformation and frictional contact of a transport roadway were analyzed numerically by the two models. The numerical examples demonstrated the efficiency of the method used in the software.

关 键 词：deep softrock engineering large deformation frictional contact Lagrange multiplier method FEM 

分 类 号：O343.3[理学—固体力学] TU398.9[理学—力学]