A regularization method for a viscoelastic contact problem


We consider a mathematical model which describes the quasistatic contact between a viscoelastic body and a deformable obstacle, the so-called foundation. The material’s behaviour is modelled with a viscoelastic constitutive law with long memory. The contact is frictionless and is defined using a multivalued normal compliance condition. We present a regularization method in the study of a class of variational inequalities involving history-dependent operators. Finally, we apply the abstract results to analyse the contact problem.


Flavius Patrulescu
Tiberiu Popoviciu Institute of Numerical Analysis,
Romanian Academy


variational inequality, regularization, weak solution, normal compliance

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F. Pătrulescu, A regularization method for a viscoelastic contact problem, Math. Mech. Solids, vol. 23, no. 2 (2018), pp. 181-194


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SAGE Publications, Thousand Oaks, CA

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