Mutibody frictional contact analysis for constructive foundation face of arch dam

The arch dam building above the rock foundation is in fact the system of mutibody contact structure system. The key of numerical calculation analysis is the frictional contact problem between dam body of the concrete material and the rock foundation. In this paper, the formulas for the mutibody contact analysis are derived and the quasi-static model is adopted. The normal direction of the contact surface fulfill the conditions of unilateral constrains and no penetration, meanwhile, the complementary condition of force and gap which is generated between contact pair is satisfied. Similarly, in the direction of tangent, the contact stresses satisfy the coulomb criterion and the tangent stress has the inverse direction against slip velocity vector, the application of variation principle due to establish the stiffness matrix by solving the minimum of energy functional, since then the matrix substructure which build on the surface of contact bodies is derivation by the procedure of condensation. Finally, the mutibody contact problems about arch-dam constructive foundation face are described, the results of calculation are judged for contact analysis on the surface and indicate that the contact node pairs are stick in a large scope.

[1]  Wolfgang A. Wall,et al.  Finite deformation frictional mortar contact using a semi‐smooth Newton method with consistent linearization , 2010 .

[2]  V. Fabrikant.  Tangential contact problem for a transversely isotropic elastic layer bonded to an elastic foundation , 2011 .

[3]  D. Owen,et al.  Computational model for 3‐D contact problems with friction based on the penalty method , 1992 .

[4]  J. Gwinner,et al.  A boundary variational inequality approach to unilateral contact problems with friction for micropolar hemitropic solids , 2010 .

[5]  Michele Ciavarella,et al.  Shakedown in elastic contact problems with Coulomb friction , 2007 .

[6]  Tod A. Laursen,et al.  A segment-to-segment mortar contact method for quadratic elements and large deformations , 2008 .

[7]  Peter Wriggers,et al.  Computational Contact Mechanics , 2002 .

[8]  Alexander Konyukhov,et al.  A special focus on 2D formulations for contact problems using a covariant description , 2006 .

[9]  A. Klarbring,et al.  Shakedown in frictional contact problems for the continuum , 2008 .

[10]  Laurent Daudeville,et al.  Multidomain finite and discrete elements method for impact analysis of a concrete structure , 2009 .

[11]  S. Amir Reza Beyabanaki,et al.  High-order three-dimensional discontinuous deformation analysis (3-D DDA) , 2010 .

[12]  Peter Wriggers,et al.  Frictionless 2D Contact formulations for finite deformations based on the mortar method , 2005 .

[13]  Wolfgang A. Wall,et al.  A finite deformation mortar contact formulation using a primal–dual active set strategy , 2009 .

[14]  Xiuli Du,et al.  Nonlinear seismic response analysis of arch dam-foundation systems- part I dam-foundation rock interaction , 2007 .

[15]  Enrico Bertocchi,et al.  Shakedown of coupled two-dimensional discrete frictional systems , 2008 .

[16]  Xiuli Du,et al.  Nonlinear seismic response analysis of arch dam-foundation systems- part II opening and closing contact joints , 2007 .

[17]  Application of generalized images method to contact problems for a transversely isotropic elastic layer on a smooth half-space , 2011 .

[18]  Tomofumi Koyama,et al.  DEVELOPMENT OF COUPLED DISCONTINUOUS DEFORMATION ANALYSIS AND NUMERICAL MANIFOLD METHOD (NMM–DDA) , 2010 .

[19]  Dwayne D. Tannant,et al.  Discrete element method contact model for dynamic simulation of inelastic rock impact , 2007, Comput. Geosci..

[20]  Wolfgang A. Wall,et al.  A dual mortar approach for 3D finite deformation contact with consistent linearization , 2010 .

[21]  H. Parisch,et al.  A formulation of arbitrarily shaped surface elements for three-dimensional large deformation contact with friction , 1997 .

[22]  Fei Wang,et al.  Surrounding rock deformation analysis of underground caverns with multi-body finite element method , 2009 .

[23]  T. Laursen.  Computational Contact and Impact Mechanics , 2003 .

[24]  Kisu Lee.  A stabilized numerical solution for the dynamic contact of the bodies having very stiff constraint on the contact point , 2010 .

[25]  Peter Wriggers,et al.  Mortar based frictional contact formulation for higher order interpolations using the moving friction cone , 2006 .

[26]  Zhiye Zhao,et al.  An alternative scheme for the corner-corner contact in the two-dimensional Discontinuous Deformation Analysis , 2010, Adv. Eng. Softw..

[27]  Peter Hansbo,et al.  Stabilized Lagrange multiplier methods for bilateral elastic contact with friction , 2006 .

[28]  M. Puso,et al.  A mortar segment-to-segment contact method for large deformation solid mechanics , 2004 .