Duality Method for Solving 3D Contact Problems with Friction

R. V. Namm; Намм Р. В.; G. I. Tsoy; Цой Г. И.

doi:10.31857/S0044466923070104

Duality Method for Solving 3D Contact Problems with Friction

Autores: Namm R.V.¹, Tsoy G.I.¹
Afiliações:
1. Computing Center, Far Eastern Branch, Russian Academy of Sciences
Edição: Volume 63, Nº 7 (2023)
Páginas: 1225-1237
Seção: Mathematical physics
URL: https://cijournal.ru/0044-4669/article/view/665021
DOI: https://doi.org/10.31857/S0044466923070104
EDN: https://elibrary.ru/ZXTRJO
ID: 665021

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Resumo
Sobre autores
Bibliografia
Arquivos suplementares
Estatísticas

Resumo

The article studies a 3D contact problem with Coulomb friction for an elastic body resting on a rigid support. The solution of the quasi-variational formulation of the problem is defined as a fixed point of some mapping that associates the given force of the normal reaction of the support with the value of the normal stress in the contact zone. The fixed point is sought by the method of successive approximations, the convergence of which is proved using modified Lagrange functionals. The results of the numerical solution using finite element modeling and the proximal gradient method are presented.

Palavras-chave

elastic body, friction force, nonlinear boundary conditions, modified Lagrange functional, fixed point

Sobre autores

R. Namm

Computing Center, Far Eastern Branch, Russian Academy of Sciences

Email: rnamm@yandex.ru
680000, Khabarovsk, Russia

G. Tsoy

Computing Center, Far Eastern Branch, Russian Academy of Sciences

Autor responsável pela correspondência
Email: tsoy.dv@mail.ru
680000, Khabarovsk, Russia

Bibliografia

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