A class of evolution variational inequalities with memory and its application to viscoelastic frictional contact problems

作者：Migorski Stanislaw^*; Ogorzaly Justyna

来源：Journal of Mathematical Analysis and Applications, 2016, 442(2): 685-702.

DOI：10.1016/j.jmaa.2016.04.076

• Variational inequality
• Subdifferential
• History-dependent operator
• Viscoelastic material
• Frictional contact
• Existence

In this paper we consider the first order evolution variational inequality involving two history-dependent operators. A result on existence and uniqueness of solution is proved. We illustrate the applicability of this result by considering a dynamic frictional contact problem for viscoelastic material with the normal compliance contact condition with memory and Coulomb's law of dry friction.

• 出版日期2016-10-15