Method in computational solid mechanics based on the discrete concept
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Movable cellular automaton method
Animation of a movable cellular automaton being used to simulate friction at the interface between two surfaces
Method type
Continuous/Discrete
Discrete
Analytical/Computational
Computational
Characteristics
Influenced by
cellular automaton, discrete element
Method in
computational solid mechanics
The movable cellular automaton (MCA) method is a method in computational solid mechanics based on the discrete concept. It provides advantages both of classical cellular automaton and discrete element methods. One important advantage[1] of the MCA method is that it permits direct simulation of material fracture, including damage generation, crack propagation, fragmentation, and mass mixing. It is difficult to simulate these processes by means of continuum mechanics methods (For example: finite element method, finite difference method, etc.), so some new concepts like peridynamics are required. Discrete element method is very effective to simulate granular materials, but mutual forces among movable cellular automata provides simulating solids behavior. As the cell size of the automaton approaches zero, MCA behavior approaches classical continuum mechanics methods.[2] The MCA method was developed in the group of S.G. Psakhie [3]
^Psakhie, S. G.; Horie, Y.; Korostelev, S. Yu.; Smolin, A. Yu.; Dmitriev, A. I.; Shilko, E. V.; Alekseev, S. V. (1995-11-01). "Method of movable cellular automata as a tool for simulation within the framework of mesomechanics". Russian Physics Journal. 38 (11): 1157–1168. Bibcode:1995RuPhJ..38.1157P. doi:10.1007/BF00559396. S2CID 120300401.
^Popov, V.L., Psakhie S.G. (2001). "Theoretical principles of modelling elastoplastic media by moveable cellular automata method. I: Homogenous media". Phys. Mesomechanics. 4: 16–25.{{cite journal}}: CS1 maint: multiple names: authors list (link)
^Shilko, Evgeny V.; Popov, Valentin L.; Vasiljeva, Olga S.; Ostermeyer, Georg-Peter (2021), Ostermeyer, Georg-Peter; Popov, Valentin L.; Shilko, Evgeny V.; Vasiljeva, Olga S. (eds.), "In Memory of Sergey G. Psakhie", Multiscale Biomechanics and Tribology of Inorganic and Organic Systems: In memory of Professor Sergey Psakhie, Springer Tracts in Mechanical Engineering, Cham: Springer International Publishing, pp. 1–23, doi:10.1007/978-3-030-60124-9_1, ISBN 978-3-030-60124-9
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