%0 Journal Article
%T Development of a formalism of movable cellular automaton method for numerical modeling of fracture of heterogeneous elastic-plastic materials
%A S. Psakhie
%A E. Shilko
%A A. Smolin
%A S. Astafurov
%J Frattura ed Integrit¨¤ Strutturale
%D 2013
%I Gruppo Italiano Frattura
%X A general approach to realization of models of elasticity, plasticity and fracture of heterogeneous materials within the framework of particle-based numerical methods is proposed in the paper. It is based on building many-body forces of particle interaction, which provide response of particle ensemble correctly conforming to the response (including elastic-plastic behavior and fracture) of simulated solids. Implementation of proposed approach within particle-based methods is demonstrated by the example of the movable cellular automaton (MCA) method, which integrates the possibilities of particle-based discrete element method (DEM) and cellular automaton methods. Emergent advantages of the developed approach to formulation of many-body interaction are discussed. Main of them are its applicability to various realizations of the concept of discrete elements and a possibility to realize various rheological models (including elastic-plastic or visco-elastic-plastic) and models of fracture to study deformation and fracture of solid-phase materials and media. Capabilities of particle-based modeling of heterogeneous solids are demonstrated by the problem of simulation of deformation and fracture of particle-reinforced metal-ceramic composites.
%K Particle-based approach
%K Movable cellular automata
%K Discrete elements
%K Many-particle interaction
%K Elastic-plastic medium
%K Fracture
%K Metal-ceramic composites
%U http://www.gruppofrattura.it/pdf/rivista/numero24/numero_24_art_4.pdf