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Yayın Frictionless contact problem on nonlinear elasticity(Maltepe Üniversitesi, 2009) Boutechebak, S.; Lebri, N.The subject of this work is the study of the contact problem with out friction between an elastic nonlinear body and a rigid foundation.Under suitable conditions, we extend the results given in [6] and [11] to our problem. For that, we present first associated variational problem as well as the study of existence and uniqueness of its solution. Secondly, we deal with some properties of this solution and its dependence with a given parameter. Finally, we shall introduce a penalized problem of the mechanical problem.Yayın Variational analysis of a frictionless contact problem for viscoplastic materials with internal state variables(Maltepe Üniversitesi, 2009) Lebri, N.The subject of this work is the study of a value problem describing the quasistatic evolution of semilinear retetype viscoplastic models with internal state variables, and we suppose the problem of Tresca s Friction Law at the presence of recal forces. The existence and uniqueness of the solution is proved using results of evolutionary variational inequalities and a fixed point theorem..Yayın Variational analysis of a frictionless contact problem for viscoplastic materials with internal state variables(Maltepe Üniversitesi, 2009) Lebri, N.The subject of this work is the study of a value problem describing the quasistatic evolution of semilinear retetype viscoplastic models with internal state variables, and we suppose the problem of Tresca s Friction Law at the presence of recal forces. The existence and uniqueness of the solution is proved using results of evolutionary variational inequalities and a fixed point theorem..