Abstract:
A number of problems of dynamic deformation in the presence of moving contact surfaces is considered. A grid-characteristic method, using two-dimensional irregular triangular grid and a hybrid scheme with 1–2 order of approximation is adapted. An algorithm for calculating the force of friction and the force of static friction is proposed. A numerical solution to problems of the wheel rolling, of the generation of shear waves, of acceleration of a plunger in a tube, of ricochet is obtained.
Citation:
K. A. Beklemysheva, I. B. Petrov, A. V. Favorskaya, “Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method”, Mat. Model., 25:11 (2013), 3–16; Math. Models Comput. Simul., 6:3 (2014), 294–304
\Bibitem{BekPetFav13}
\by K.~A.~Beklemysheva, I.~B.~Petrov, A.~V.~Favorskaya
\paper Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method
\jour Mat. Model.
\yr 2013
\vol 25
\issue 11
\pages 3--16
\mathnet{http://mi.mathnet.ru/mm3414}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 3
\pages 294--304
\crossref{https://doi.org/10.1134/S207004821403003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925960139}
Linking options:
https://www.mathnet.ru/eng/mm3414
https://www.mathnet.ru/eng/mm/v25/i11/p3
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Lapshin V., Zenkov E., International Conference on Modern Trends in Manufacturing Technologies and Equipment (Icmtmte) 2020, IOP Conference Series-Materials Science and Engineering, 971, IOP Publishing Ltd, 2020
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Chistyakov Alexander, Elena Protsenko, SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019, 2201, SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019, 2019, 050020
I S Nikitin, N G Burago, A D Nikitin, B A Stratula, “Numerical modeling of a low-velocity microparticle's spraying process in a heated gas stream”, J. Phys.: Conf. Ser., 1203 (2019), 012021
A. V. Favorskaya, I. B. Petrov, “Theory and practice of wave processes modelling”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 1–6
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A. V. Favorskaya, N. I. Khokhlov, V. I. Golubev, A. V. Ekimenko, Yu. V. Pavlovskiy, I. Yu. Khromova, I. B. Petrov, “Wave processes modelling in geophysics”, Innovations in Wave Processes Modelling and Decision Making: Grid-Characteristic Method and Applications, Smart Innovation Systems and Technologies, 90, eds. A. Favorskaya, I. Petrov, Springer-Verlag, Berlin, 2018, 187–218
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Petrov I., International Conference on Computer Simulation in Physics and Beyond 2015, Journal of Physics Conference Series, 681, IOP Publishing Ltd, 2016
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A. I. Sukhinov, D. S. Khachunts, A. E. Chistyakov, “A mathematical model of pollutant propagation in near-ground atmospheric layer of a coastal region and its software implementation”, Comput. Math. Math. Phys., 55:7 (2015), 1216–1231
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