Displaying similar documents to “Variational-hemivariational inequalities in nonlinear elasticity. The coercive case”

Noncoercive hemivariational inequality and its applications in nonconvex unilateral mechanics

Daniel Goeleven (1996)

Applications of Mathematics

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This paper is devoted to the study of a class of hemivariational inequalities which was introduced by P. D. Panagiotopoulos [31] and later by Z. Naniewicz [22]. These variational formulations are natural nonconvex generalizations [15–17], [22–33] of the well-known variational inequalities. Several existence results are proved in [15]. In this paper, we are concerned with some related results and several applications.

Dynamic contact problems with velocity conditions

Oanh Chau, Viorica Motreanu (2002)

International Journal of Applied Mathematics and Computer Science

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We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic...

On a contact problem for a viscoelastic von Kármán plate and its semidiscretization

Igor Bock, Ján Lovíšek (2005)

Applications of Mathematics

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We deal with the system describing moderately large deflections of thin viscoelastic plates with an inner obstacle. In the case of a long memory the system consists of an integro-differential 4th order variational inequality for the deflection and an equation with a biharmonic left-hand side and an integro-differential right-hand side for the Airy stress function. The existence of a solution in a special case of the Dirichlet-Prony series is verified by transforming the problem into...