Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
El. Essoufi; El. Benkhira; R. Fakhar
Mathematical Modelling of Natural Phenomena (2010)
- Volume: 5, Issue: 7, page 84-90
- ISSN: 0973-5348
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Abstract
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topEssoufi, El., Benkhira, El., and Fakhar, R.. Taik, A., ed. "Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem." Mathematical Modelling of Natural Phenomena 5.7 (2010): 84-90. <http://eudml.org/doc/197671>.
@article{Essoufi2010,
abstract = {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},
author = {Essoufi, El., Benkhira, El., Fakhar, R.},
editor = {Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {piezoelectric; Coulomb’s law; Signorini condition; fixed point process; finite element approximation; error estimates; electro-elastic static problem; piezoelectric materials; unilateral contact; nonlocal Coulomb's friction; variational inequality; fixed point; iterative method},
language = {eng},
month = {8},
number = {7},
pages = {84-90},
publisher = {EDP Sciences},
title = {Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem},
url = {http://eudml.org/doc/197671},
volume = {5},
year = {2010},
}
TY - JOUR
AU - Essoufi, El.
AU - Benkhira, El.
AU - Fakhar, R.
AU - Taik, A.
TI - Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/8//
PB - EDP Sciences
VL - 5
IS - 7
SP - 84
EP - 90
AB - 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
LA - eng
KW - piezoelectric; Coulomb’s law; Signorini condition; fixed point process; finite element approximation; error estimates; electro-elastic static problem; piezoelectric materials; unilateral contact; nonlocal Coulomb's friction; variational inequality; fixed point; iterative method
UR - http://eudml.org/doc/197671
ER -
References
top- H. Brezis. Equations et inéquations non linéaires dans les espaces vectoriels en dualité. Annales Inst. Fourier, 18 (1968), 115-175.
- P. G. Ciarlet. The finite element method for elliptic problems. North-Holland, Amsterdam, 1978.
- M. Sofonea, EL-H. Essoufi. A Piezoelectric contact problem with slip dependent coefficient of friction. Math. Model. Anal., 9 (2004), 229-242.
- Z. Lerguet, M. Shillor, M. Sofonea. A frictional contact problem for an electro-viscoelastic body. Electronic journal of differential equations, 2007 (2007), No. 170, 1-16.
- A. Touzaline. A Quasistatic unilateral contact problem with slip-dependent coefficient of friction for nonlinear elastic materials. Electronic journal of differential equations, 2006 (2006), No. 144, 1-14.
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