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.