Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775772 | Applied Mathematics and Computation | 2017 | 18 Pages |
Abstract
The goal of this paper is to study a quasistatic frictionless contact problem for a viscoelastic body in which the constitutive equation is modeled with the fractional Kelvin-Voigt law and the contact condition is described by the Clarke subdifferential of a nonconvex and nonsmooth functional. The variational formulation of this problem is provided in the form of a fractional hemivariational inequality. In order to solve this inequality, we apply the Rothe method and prove that the associated abstract Volterra inclusion has at least one solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jiangfeng Han, StanisÅaw Migórski, Huidan Zeng,