Development of a formalism of movable cellular automaton method for numerical modeling of fracture of heterogeneous elastic-plastic materials

Journal Title: Frattura ed Integrità Strutturale - Year 2013, Vol 7, Issue 24

Abstract

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.

Authors and Affiliations

S. Psakhie, E. Shilko, A. Smolin, S. Astafurov, V. Ovcharenko

Keywords

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  • EP ID EP125396
  • DOI 10.3221/IGF-ESIS.24.04
  • Views 82
  • Downloads 0

How To Cite

S. Psakhie, E. Shilko, A. Smolin, S. Astafurov, V. Ovcharenko (2013).  Development of a formalism of movable cellular automaton method for numerical modeling of fracture of heterogeneous elastic-plastic materials. Frattura ed Integrità Strutturale, 7(24), 26-59. https://europub.co.uk/articles/-A-125396