Analysis of electroelastic frictionless contact problems with adhesion.
Sofonea, Mircea, Arhab, Rachid, Tarraf, Raafat (2006)
Journal of Applied Mathematics
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Sofonea, Mircea, Arhab, Rachid, Tarraf, Raafat (2006)
Journal of Applied Mathematics
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Mohamed Selmani, Lynda Selmani (2010)
Applications of Mathematics
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We consider a quasistatic contact problem for an electro-viscoelastic body. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. The damage of the material caused by elastic deformation is taken into account, its evolution is described by an inclusion of parabolic type. We present a weak formulation for the model and establish existence and uniqueness results. The proofs are based on classical results for elliptic...
B. Awbi, El H. Essoufi, M. Sofonea (2000)
Annales Polonici Mathematici
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We study an evolution problem which describes the quasistatic contact of a viscoelastic body with a foundation. We model the contact with normal damped response and a local friction law. We derive a variational formulation of the model and we establish the existence of a unique weak solution to the problem. The proof is based on monotone operators and fixed point arguments. We also establish the continuous dependence of the solution on the contact boundary conditions.
Selmani, Mohamed, Mircea, Sofonea (2006)
Journal of Inequalities and Applications [electronic only]
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Weimin Han, Mircea Sofonea (1999)
Applicationes Mathematicae
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We consider the problem of frictional contact between an elastic body and an obstacle. The elastic constitutive law is assumed to be nonlinear. The contact is modeled with normal compliance and the associated version of Coulomb's law of dry friction. We present two alternative yet equivalent weak formulations of the problem, and establish existence and uniqueness results for both formulations using arguments of elliptic variational inequalities and fixed point theory. Moreover, we show...
Arezki Touzaline (2010)
Annales Polonici Mathematici
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The paper deals with the problem of quasistatic frictionless contact between an elastic body and a foundation. The elasticity operator is assumed to vanish for zero strain, to be Lipschitz continuous and strictly monotone with respect to the strain as well as Lebesgue measurable on the domain occupied by the body. The contact is modelled by normal compliance in such a way that the penetration is limited and restricted to unilateral contraints. In this problem we take into account adhesion...
Arezki Touzaline (2010)
Commentationes Mathematicae Universitatis Carolinae
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We consider a mathematical model which describes a contact problem between a deformable body and a foundation. The contact is bilateral and is modelled with Tresca's friction law in which adhesion is taken into account. The evolution of the bonding field is described by a first order differential equation and the material's behavior is modelled with a nonlinear viscoelastic constitutive law. We derive a variational formulation of the mechanical problem and prove the existence and uniqueness...