Dynamic History-Dependent Hemivariational Inequalities Controlled by Evolution Equations with Application to Contact Mechanics
نویسندگان
چکیده
This paper is devoted the study of a generalized hybrid dynamical system, which consists history-dependent hemivariational inequality parabolic type and nonlinear evolution equation. The unique solvability for system established via applying surjectivity multivalued pseudomonotone operators, fixed point theorem, properties Clarke gradient. As an illustrative application, dynamic frictional contact problem viscoelastic materials with adhesion investigated, in friction condition described by gradient nonconvex nonsmooth function involving adhesion, normal damped response expressed given nonnegative depending on velocity adhesion.
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ژورنال
عنوان ژورنال: Journal of Dynamics and Differential Equations
سال: 2021
ISSN: ['1040-7294', '1572-9222']
DOI: https://doi.org/10.1007/s10884-021-10088-0