On normal compliance quasistatic viscoplastic contact problem with friction, damage and foundation memory property

Abstract

The goal of this paper is to study a mathematical model which describes the quasistatic frictional contact between aviscoplastic body and a foundation. The contact is modeled with normal compliance, unilateral constraint, friction, damage andmemory term, which also includes foundation memory property. We present the classical formulation of the problem and derivevariational-hemivariational formulation. Finally we provide a unique weak solution of the problem.

Keywords:

• Viscoplasticity
• hemivariational inequality
• normal compliance
• subdifferential
• contact problem
• friction
• memory term
• damage

Mathematics Subject Classifications 2000:

• 34G25
• 35L70
• 35L85
• 74M10
• 74M15

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

This project has received funding from the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement no. 823731 - CONMECH.