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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2013 Volume 25, Number 11, Pages 3–16 (Mi mm3414)

This article is cited in 18 papers

Numerical simulation of processes in rigid deformable media in the presence of dynamic contacts using grid-characteristic method

K. A. Beklemysheva, I. B. Petrov, A. V. Favorskaya

Moscow Institute of Physics and Technology (State University)

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.

Keywords: mechanics deformable rigid body, grid-characteristic method, irregular grid, Delaunay triangulation, dynamic contact, collision detection, friction, seismic surveys, method of falling load.

UDC: 519.22

Received: 22.03.2012


 English version:
Mathematical Models and Computer Simulations, 2014, 6:3, 294–304

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