Computer Simulation of Motion of an Inhomogeneous Granular Medium
Autor: | N. A. Bogul’skaya, I. O. Bogulskii |
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Rok vydání: | 2020 |
Předmět: |
Physics
Mechanical Engineering Numerical analysis Mathematical analysis Shell (structure) Motion (geometry) 02 engineering and technology Radius Condensed Matter Physics Rigid body 01 natural sciences 010305 fluids & plasmas 020303 mechanical engineering & transports Planar 0203 mechanical engineering Mechanics of Materials 0103 physical sciences Initial value problem Particle |
Zdroj: | Journal of Applied Mechanics and Technical Physics. 61:256-262 |
ISSN: | 1573-8620 0021-8944 |
DOI: | 10.1134/s002189442002011x |
Popis: | A model for the motion of a granular medium is proposed, which is based on the elastic interaction of particles each of which is a perfectly rigid body (a disk in the planar case and a sphere in the spatial case) of mass m and radius r, surrounded by a sufficiently thin elastic shell. An algorithm for solving the formulated problem is proposed. At each step, the forces and moments of forces arising from the interaction of a particle with neighboring particles are calculated. The Cauchy problem for the resulting system of differential equations was numerically solved. Based on the mathematical model, a set of programs was developed that simulates the behavior of granular media in moving containers. |
Databáze: | OpenAIRE |
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