Abstract:
A new algorithm for solving dynamic contact problems involving deformable bodies is proposed. The algorithm is based on formulation of the boundary conditions for the contact interaction with allowance for Coulomb friction in the form of quasivariational inequalities. The algorithm is numerically stable and satisfies geometric constraints in the a priori unknown contact region and conditions specifying that the normal pressure be nonnegative and that the vectors describing tangential velocity and shear stress during slip be oppositely directed. Results are presented from calculations performed for a contact problem for an elastoplastic body in a two-dimensional formulation.
Citation:
O. V. Bychek, V. M. Sadovskii, “Study of the dynamic contact interaction of deformable bodies”, Prikl. Mekh. Tekh. Fiz., 39:4 (1998), 167–173; J. Appl. Mech. Tech. Phys., 39:4 (1998), 628–633
\Bibitem{SadSad98}
\by O.~V.~Bychek, V.~M.~Sadovskii
\paper Study of the dynamic contact interaction of deformable bodies
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1998
\vol 39
\issue 4
\pages 167--173
\mathnet{http://mi.mathnet.ru/pmtf3304}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1998
\vol 39
\issue 4
\pages 628--633
\crossref{https://doi.org/10.1007/BF02471260}
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https://www.mathnet.ru/eng/pmtf3304
https://www.mathnet.ru/eng/pmtf/v39/i4/p167
This publication is cited in the following 4 articles:
N. V. Koteneva, N. V. Perfilieva, S. A. Voinash, S. Ye Ariko, V. A. Sokolova, A. V. Sergeevichev, A. E. Mikhailova, E. A. Alekseeva, PROCEEDINGS OF THE II INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS, SYSTEMS AND TECHNOLOGIES: (CAMSTech-II 2021), 2467, PROCEEDINGS OF THE II INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS, SYSTEMS AND TECHNOLOGIES: (CAMSTech-II 2021), 2022, 060007
A. A. Lukashevich, N. K. Lukashevich, N. V. Ostrovskaya, “Modelling and Numerical Solution of the Problem with Unilateral Constraints and Friction under Dynamic Action of the Load”, Nauka teh., 20:1 (2021), 16
Boris D. Annin, Victor A. Kovtunenko, Vladimir M. Sadovskii, Springer Proceedings in Mathematics & Statistics, 121, Analysis, Modelling, Optimization, and Numerical Techniques, 2015, 49
Oxana Sadovskaya, Vladimir Sadovskii, Advanced Structured Materials, 21, Mathematical Modeling in Mechanics of Granular Materials, 2012, 223
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