MODELING AND NUMERICAL SIMULATION OF THE PENALTY METHOD FOR UNILATERAL CONTACT PROBLEM WITH TRESCA’S FRICTION IN THERMO-ELECTRO-VISCO-ELASTICITY

Abstract

In this work, we consider the penalty method applied to contact problem in thermo-electro-visco-elasticity with Signorini’s condition and Tresca’s friction law. Mathe- matical properties, such as the existence of a solution to the penalty problem and its conver- gence to the solution of the original problem, are reported. Then, we present some numerical results in the study of a two-dimensional test problem and we establish its convergence.