Method of movable cellular automata as a tool for simulation within the framework of mesomechanics
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.Get Access
The proposed MCA method is based on mesomechanics of heterogeneous media [4, 5, 9]. It is connected first with the ability to describe the material as a set of structural elements of deformation . The role of the structural unit in the MCA method is played by the element (movable cellular automaton). The expressions of interparticle interactions used, as well as the rules of changing the state of the elements, allow us to simulate a wide range of phenomena including melting, chemical reactions, and phase transformations. The characteristic size of the element and its properties are defined based on the features of the model constructed in the framework of mesomechanics as described in . Therefore the MCA method as a computational technique allows us to realize the principles of mesomechanics when simulating material response to external loading of different types. This method is highly recommended in computer-aided design of new materials.
- J. T. Oden, Finite Elements in Continuum Mechanics [Russian translation], Mir, Moscow (1976).
- M. L. Wilkins, Computational Methods in Hydrodynamics [Russian translation], Mir, Moscow (1967).
- T. V. Zhukova, P. V. Makarov, T. M. Platova, et al., Fiz. Goren. Vzryva,23, No. 1, 29–34 (1987).
- V. E. Panin, V. A. Likhachev, Yu. V. Grinyaev, et al., Structural Levels of Deformation in Solids [in Russian], Nauka, Novosibirisk (1985).
- V. E. Panin, V. E. Egorushkin, P. V. Makarov, et al., Physical Mesomechanics and Computer-Aided Design of Materials [in Russian], Nauka, Novosibirisk (1995), Vol. 1; V. E. Panin, P. V. Makarov, S. G. Psakhie, et al., Physical Mesomechanics and Computer-Aided Design of Materials [in Russian], Nauka, Novosibirisk (1995), Vol 2.
- V. E. Panin, Izv. Vuzov. Fiz., No. 4, 5–18 (1992).
- V. E. Panin, V. A. Klimenov, S. G. Psakh'e, et al., New Materials and Technologies. Design of New Materials and Hardening Technologies [in Russian], Nauka, Novosibirisk (1993).
- S. Psakhie, International Workshop on Shock Synthesis of Materials, Georgia Institute of Technology, Atlanta (1994), pp. 94–97.
- V. E. Panin, Izv. Vuzov. Fiz., No. 11, 5 (1995).
- Walter Thiele, “Die temperatur Bhängigkeit der plastizität und Zugfestigkeit von Steinsalzkristallen,” Z. Physik, 763–776 (1975).
- R. F. Hochman, “Surface modification,” Advanced Materials and Processes, No. 1, 29–30 (1995).
- Method of movable cellular automata as a tool for simulation within the framework of mesomechanics
Russian Physics Journal
Volume 38, Issue 11 , pp 1157-1168
- Cover Date
- Print ISSN
- Online ISSN
- Kluwer Academic Publishers-Plenum Publishers
- Additional Links
- Industry Sectors