Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
12 January 2020 |
27 January 2020 |
10 March 2020 |
Abstract: This work considers a mathematical model that describes quasistatic evolution of a piezoelectric body that may come in frictional contact with a conductive foundation. The behavior of the material is modeled with a linear thermo-electro-viscoelastic constitutive law. The contact is described by Signorini's conditions and Tresca's friction law including the electrical and thermal conductivity conditions. This paper continues [2], providing the numerical modelling of the problem supported by numerical simulations. We introduce a numerical discretization based on a uniform time step and the finite element method in space. Then, we treat the frictional contact conditions by using an augmented Lagrangian approach and a version of Newton's method (see [1, 3] for details). Finally, an academic two-dimensional example is presented to demonstrate the performance of the algorithm.
