A Cell Method Formulation of Three Dimensional Electro-Thermo-Mechanical Contact Problems with Mortar Discretization

摘要

A three-dimensional mortar method for solving fully coupled electro-thermo-mechanical contact problems is presented. The formulation is based on the Cell Method which is founded on the duality principle. Contacting domains are linked together by introducing a new reference frame, i.e. the mortar surface. Field discontinuities across contact interfaces are simulated by suitable constitutive operators. Compatibility constraints are imposed by dual Lagrange multipliers defined on the mortar surface. Coupled non-linear algebraic equations are cast into a saddle point problem, which can be reduced to a positive definite system by exploiting duality. In such a way standard preconditioned iterative solvers can be used.