The paper is devoted to development of an approach to building the expressions for central and tangential interaction of discrete elements simulating isotropic elastic-plastic solid. The approach is based on associations between the components of local stress/strain tensor and the inter-automaton forces/displacements. Two ways of description of elastic-plastic interaction of discrete elements are proposed. The first one is pair-related formalism. It is based on definition of local stress and strain tensor components for interacting pairs of elements. The second one is element-related formalism, which uses components of average stress/strain tensor components in the volume of discrete element. Emergent advantages of the developed approach to formulation of mechanical interaction of discrete elements are its generality for all realizations of discrete element method (DEM) and capability to realize various models of elastic-plastic or visco-elastic-plastic media in the framework of discrete concept in mechanics. Proposed approach was realized within the formalism of the movable cellular automaton (MCA) method, which integrates the possibilities of cellular automaton methods and DEM. Some valuable results of the MCA method application to study complex deformation processes in heterogeneous media at various scales (from nanoscopic to geological) are considered.
|Журнал||International Journal of Terraspace Science and Engineering|
|Состояние||Опубликовано - 2010|
ASJC Scopus subject areas