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- W1982856285 abstract "We consider a class of abstract evolutionary variational inequalities arising in the study of frictional contact problems for linear viscoelastic materials with long-term memory. First, we prove an abstract existence and uniqueness result, by using arguments of evolutionary variational inequalities and Banach's fixed-point theorem. Next, we study the dependence of the solution on the memory term and derive a convergence result. Then, we consider a contact problem to which the abstract results apply. The problem models a quasistatic process, the contact is bilateral and the friction is modeled with Tresca's law. We prove the existence of a unique weak solution to the model and we provide the mechanical interpretation of the corresponding convergence result. Finally, we extend these results to the study of a number of quasistatic frictional problems for linear viscoelastic materials with long-term memory." @default.
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- W1982856285 date "2005-05-01" @default.
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- W1982856285 title "A class of integro-differential variational inequalities with applications to viscoelastic contact" @default.
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- W1982856285 doi "https://doi.org/10.1016/j.mcm.2004.01.011" @default.
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