On existence and behaviour of the solution in quasistatic processes for rate-type viscoplastic models
Mircea Sofonea (1992)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Mircea Sofonea (1992)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Cleja-Ţigoiu, Sanda (2000)
Rendiconti del Seminario Matematico
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Lastenko, Mikhail S., Zubov, Leonid M. (2002)
Revista Colombiana de Matemáticas
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Jindřich Nečas, Jan Kratochvíl (1973)
Commentationes Mathematicae Universitatis Carolinae
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Whiteley, Jonathan P. (2005)
Journal of Theoretical Medicine
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Bortoloni, L., Cermelli, P. (2000)
Rendiconti del Seminario Matematico
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Oanh Chau, Dumitru Motreanu, Mircea Sofonea (2002)
Applications of Mathematics
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We consider two quasistatic problems which describe the frictional contact between a deformable body and an obstacle, the so-called foundation. In the first problem the body is assumed to have a viscoelastic behavior, while in the other it is assumed to be elastic. The frictional contact is modeled by a general velocity dependent dissipation functional. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of evolution...