000			01726nam a22002657a 4500
003			ZW-GwMSU
005			20201217125227.0
008			201217b ||||| |||| 00| 0 eng d
022			_a09567925
040			_aMSU _cMSU _erda
050			_aQA1
100	1		_aMigórski, Stanisław _eauthor
245	1	0	_aWeak solvability of a piezoelectric contact problem† _ccreated by Stanisław Migórski, Anna Ochal and Mircea Sofonea
264			_aNew York _bCambridge University Press _c2009
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
440			_aEuropean Journal of Applied Mathematics _vVolume 20, number 2,
520			_aWe consider a mathematical model which describes the frictional contact between a piezoelectric body and a foundation. The material behaviour is modelled with a non-linear electro-elastic constitutive law, the contact is bilateral, the process is static and the foundation is assumed to be electrically conductive. Both the friction law and the electrical conductivity condition on the contact surface are described with subdifferential boundary conditions. We derive a variational formulation of the problem which is of the form of a system of two coupled hemi-variational inequalities for the displacement and the electric potential fields, respectively. Then we prove the existence of a weak solution to the model and, under additional assumptions, its uniqueness. The proof is based on an abstract result on operator inclusions in Banach spaces.
650			_aPiezoelectric materials
700			_aOchal, Anna _eauthor
700			_aSofonea, Mircea _eauthor
856			_udoi:10.1017.S0956792508007663
942			_2lcc _cJA
999			_c156052 _d156052