Geodesic
Variational analysis of a dynamic electroviscoelastic problem with friction
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 68-78

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A dynamic contact problem is considered in the paper. The material behavior is described by electro-visco-elastic constitutive law with piezoelectric effects. The body is in contact with a rigide obstacle. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction, and with a regularized electrical conductivity condition. A variational formulation of the problem is derived. Under the assumption that coefficient of friction is small, existence and uniqueness of a weak solution of the problem is proved. The proof is based on evolutionary variational inequalities and fixed points of operators.
Keywords: piezoelectric, frictional contact, visco-elastic, fixed point, dynamic process, Сoulomb's law of friction, variational inequality. 
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     title = {Variational analysis of a dynamic electroviscoelastic problem with friction},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a5/}
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Aziza Bachmar; Souraya Boutechebak; Touffik Serrar. Variational analysis of a dynamic electroviscoelastic problem with friction. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 12 (2019) no. 1, pp. 68-78. http://geodesic.mathdoc.fr/item/JSFU_2019_12_1_a5/