TY - JOUR
T1 - Analysis and Numerical Approximation of an Electro-Elastic Frictional Contact Problem
AU - Essoufi , El-H.
AU - Benkhira , El-H.
AU - Fakhar , R.
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 355
EP - 378
PY - 2010
DA - 2010/03
SN - 2
DO - http://doi.org/10.4208/aamm.09-m0980
UR - https://global-sci.org/intro/article_detail/aamm/8335.html
KW - 
AB - <p style="text-align: justify;">We consider a mathematical model which describes the static frictional contact between a piezoelectric body and a conductive 
foundation. A non linear electro-elastic constitutive law is used to 
model the piezoelectric material. The unilateral contact is modelled 
using the Signorini condition, nonlocal Coulomb friction law with
slip dependent friction coefficient and a regularized electrical
conductivity condition. Existence and uniqueness of a weak solution
is established. The finite elements approximation of the problem is
presented. A priori error estimates of the solutions are derived 
and a convergent successive iteration technique is proposed.</p>