Mathematical Modeling in Mechanics of Granular Materials

Mathematical Modeling in Mechanics of Granular Materials

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This monograph contains original results in the field of mathematical and numerical modeling of mechanical behavior of granular materials and materials with different strengths. It proposes new models helping to define zones of the strain localization. The book shows how to analyze processes of the propagation of elastic and elastic-plastic waves in loosened materials, and constructs models of mixed type, describing the flow of granular materials in the presence of quasi-static deformation zones. In a last part, the book studies a numerical realization of the models on multiprocessor computer systems. The book is intended for scientific researchers, lecturers of universities, post-graduates and senior students, who specialize in the field of the deformable materials mechanics, mathematical modeling and adjacent fields of applied and calculus mathematics.An example of the construction of grids for a granular material body consisting of two blocks with decomposition of aproblem between seven ... Data interchange between the processes is carried out at the level of coefficients of the solution decomposition on the basis from left ... Horizontal boundaries are calculated at the first and fifth steps of the splitting method with respect to the spatial variables. This isanbsp;...

Title:Mathematical Modeling in Mechanics of Granular Materials
Author: Oxana Sadovskaya, Vladimir Sadovskii
Publisher:Springer Science & Business Media - 2012-06-08

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