Enviar artigo por via de e-mail Duality Method for Solving 3D Contact Problems with Friction
- Autores: Namm R.V.1, Tsoy G.I.1
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Afiliações:
- Computing Center, Far Eastern Branch, Russian Academy of Sciences
- Edição: Volume 63, Nº 7 (2023)
- Páginas: 1225-1237
- Seção: Mathematical physics
- URL: https://ogarev-online.ru/0044-4669/article/view/136208
- DOI: https://doi.org/10.31857/S0044466923070104
- EDN: https://elibrary.ru/ZXTRJO
- ID: 136208
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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.
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
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