We consider a mathematical model which describes the static frictional contact between a piezoelectric body and an insulator foundation. We use a nonlinear electroelastic constitutive law to model the piezoelectric material and the normal compliance condition associated to a version of Coulomb's friction law to model the contact. We derive a variational formulation for the model which is in the form of a coupled system involving the displacement and the electric potential fields. Then we provide the existence of a weak solution to the problem and, under a smallness assumption, its uniqueness. We also study the dependence of the solution on the contact conditions and derive a convergence result.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am32-4-5,
author = {Mircea Sofonea and Youssef Ouafik},
title = {A piezoelectric contact problem with normal compliance},
journal = {Applicationes Mathematicae},
volume = {32},
year = {2005},
pages = {425-442},
zbl = {1138.74372},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-4-5}
}
Mircea Sofonea; Youssef Ouafik. A piezoelectric contact problem with normal compliance. Applicationes Mathematicae, Tome 32 (2005) pp. 425-442. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am32-4-5/