A piezoelectric contact problem with normal compliance

Mircea Sofonea, and Youssef Ouafik. "A piezoelectric contact problem with normal compliance." Applicationes Mathematicae 32.4 (2005): 425-442. <http://eudml.org/doc/279511>.

@article{MirceaSofonea2005,
abstract = {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.},
author = {Mircea Sofonea, Youssef Ouafik},
journal = {Applicationes Mathematicae},
keywords = {static process; piezoelectric material; frictional contact; normal compliance; Coulomb's law; quasivariational inequality; weak solution},
language = {eng},
number = {4},
pages = {425-442},
title = {A piezoelectric contact problem with normal compliance},
url = {http://eudml.org/doc/279511},
volume = {32},
year = {2005},
}

TY - JOUR
AU - Mircea Sofonea
AU - Youssef Ouafik
TI - A piezoelectric contact problem with normal compliance
JO - Applicationes Mathematicae
PY - 2005
VL - 32
IS - 4
SP - 425
EP - 442
AB - 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.
LA - eng
KW - static process; piezoelectric material; frictional contact; normal compliance; Coulomb's law; quasivariational inequality; weak solution
UR - http://eudml.org/doc/279511
ER -