Uniform Global Attractor for a Class of Nonautonomous Evolution Hemivariational Inequalities with Multidimensional “Reaction-Velocity” Law

2020 ◽  
pp. 347-368
Author(s):  
Michael Z. Zgurovsky ◽  
Ciro D’Apice ◽  
Umberto De Maio ◽  
Nataliia V. Gorban ◽  
Pavlo O. Kasyanov ◽  
...  
Keyword(s):  
Global Attractor ◽  
Hemivariational Inequalities ◽  
Reaction Velocity ◽  
Evolution Hemivariational Inequalities ◽  
Uniform Global Attractor

Dynamic contact problem with thermal effect

2017 ◽  
Vol 24 (4) ◽  
Author(s):  
Justyna Ogorzaly
Keyword(s):  
Thermal Effect ◽  
Frictional Contact ◽  
Dynamic Contact ◽  
The Body ◽  
Constitutive Law ◽  
Hemivariational Inequalities ◽  
Banach Fixed Point Theorem ◽  
Dynamic Contact Problem ◽  
System Of Inequalities ◽  
Evolution Hemivariational Inequalities

AbstractWe consider a model of a dynamic frictional contact between the body and the foundation. In this model the contact is bilateral. The behaviour of the material is described by the elastic-viscoplastic constitutive law with thermal effect. The variational formulation of this model leads to a system of two evolution hemivariational inequalities. The aim of this paper is to prove that this system of inequalities has a unique solution. The proof is based on the Banach fixed point theorem and some results for hemivariational inequalities.

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