کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1704882 | 1012418 | 2012 | 19 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Analysis and numerical solution of a piezoelectric frictional contact problem Analysis and numerical solution of a piezoelectric frictional contact problem](/preview/png/1704882.png)
We consider a mathematical model which describes the frictional contact between an electro-elastic–visco-plastic body and a conductive foundation. The contact is modelled with normal compliance and a version of Coulomb’s law of dry friction, in which the stiffness and the friction coefficients depend on the electric potential. We derive a variational formulation of the problem and we prove an existence and uniqueness result. The proof is based on a recent existence and uniqueness result on history-dependent quasivariational inequalities obtained in [15]. Then we introduce a fully discrete scheme for solving the problem and, under certain solution regularity assumptions, we derive an optimal order error estimate. Finally, we present some numerical results in the study of a two-dimensional test problem which describes the process of contact in a microelectromechanical switch.
Journal: Applied Mathematical Modelling - Volume 36, Issue 9, September 2012, Pages 4483–4501