Geodesic
Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
El. Essoufi1 ; El. Benkhira1 ; R. Fakhar1
1 University Hassan I, FSTS, Department of Mathematics and Informatics, B.P. 577, 26000 Settat, Morocco
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 84-90.

Voir la notice de l'article provenant de la source EDP Sciences

We consider the problem of frictional contact between an piezoelectric body and a conductive foundation. The electro-elastic constitutive law is assumed to be nonlinear and the contact is modelled with the Signorini condition, nonlocal Coulomb friction law and a regularized electrical conductivity condition. The existence of a unique weak solution of the model is established. The finite elements approximation for the problem is presented, and error estimates on the solutions are derived
DOI : 10.1051/mmnp/20105714

El. Essoufi 1 ; El. Benkhira 1 ; R. Fakhar 1

1 University Hassan I, FSTS, Department of Mathematics and Informatics, B.P. 577, 26000 Settat, Morocco 
@article{MMNP_2010_5_7_Supplement_a14,
     author = {El. Essoufi and El. Benkhira and R. Fakhar},
     title = {Analysis and {Numerical} {Approximation} of an {Electro-elastic} {Frictional} {Contact} {Problem}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {84--90},
     publisher = {mathdoc},
     volume = {5},
     number = {7 Supplement},
     year = {2010},
     doi = {10.1051/mmnp/20105714},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105714/}
}
TY  - JOUR
AU  - El. Essoufi
AU  - El. Benkhira
AU  - R. Fakhar
TI  - Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
JO  - Mathematical modelling of natural phenomena
PY  - 2010
SP  - 84
EP  - 90
VL  - 5
IS  - 7 Supplement
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105714/
DO  - 10.1051/mmnp/20105714
LA  - en
ID  - MMNP_2010_5_7_Supplement_a14
ER  - 
%0 Journal Article
%A El. Essoufi
%A El. Benkhira
%A R. Fakhar
%T Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
%J Mathematical modelling of natural phenomena
%D 2010
%P 84-90
%V 5
%N 7 Supplement
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105714/
%R 10.1051/mmnp/20105714
%G en
%F MMNP_2010_5_7_Supplement_a14
El. Essoufi; El. Benkhira; R. Fakhar. Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 84-90. doi : 10.1051/mmnp/20105714. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105714/

[1] H. Brezis Equations et inéquations non linéaires dans les espaces vectoriels en dualité Annales Inst. Fourier 1968 115 175

[2] P. G. Ciarlet. The finite element method for elliptic problems. North-Holland, Amsterdam, 1978.

[3] M. Sofonea, El-H. Essoufi A Piezoelectric contact problem with slip dependent coefficient of friction Math. Model. Anal. 2004 229 242

[4] Z. Lerguet, M. Shillor, M. Sofonea A frictional contact problem for an electro-viscoelastic body Electronic journal of differential equations 2007 1 16

[5] A. Touzaline A Quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials Electronic journal of differential equations 2006 1 14

Cité par Sources :