Boundary optimal control of a dynamic frictional contact problem | Zendy

Peng Zijia | Zendy; Gamorski Piotr | Zendy; Migórski Stanisław | Zendy

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Boundary optimal control of a dynamic frictional contact problem

Author(s) -

Peng Zijia,

Gamorski Piotr,

Migórski Stanisław

Publication year - 2020

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.201900144

Subject(s) - variational inequality , viscoelasticity , boundary (topology) , coulomb friction , optimal control , mathematics , dry friction , coulomb , boundary value problem , coulomb's law , control (management) , mathematical analysis , control theory (sociology) , classical mechanics , mathematical optimization , physics , nonlinear system , computer science , materials science , quantum mechanics , artificial intelligence , composite material , thermodynamics , electron

In this paper we study boundary optimal control of an evolutionary system governed by a history‐dependent variational‐hemivariational inequality. The inequality is a weak formulation of a dynamic frictional contact problem for a viscoelastic body with a multivalued normal damped response condition and a simplified version of the Coulomb law of dry friction. A continuous dependence result for the solution map is proved and the existence of optimal solutions to the control problem is established.

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