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Mathematical Models of Granular Matter

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Release : 2008-04-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 761/5 ( reviews)

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Book Synopsis Mathematical Models of Granular Matter by : Gianfranco Capriz

Download or read book Mathematical Models of Granular Matter written by Gianfranco Capriz. This book was released on 2008-04-18. Available in PDF, EPUB and Kindle. Book excerpt: Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.

Mathematical Modeling in Mechanics of Granular Materials

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Release : 2012-06-08
Genre : Technology & Engineering
Kind : eBook
Book Rating : 531/5 ( reviews)

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Book Synopsis Mathematical Modeling in Mechanics of Granular Materials by : Oxana Sadovskaya

Download or read book Mathematical Modeling in Mechanics of Granular Materials written by Oxana Sadovskaya. This book was released on 2012-06-08. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Constitutive Modelling of Granular Materials

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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 186/5 ( reviews)

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Book Synopsis Constitutive Modelling of Granular Materials by : Dimitrios Kolymbas

Download or read book Constitutive Modelling of Granular Materials written by Dimitrios Kolymbas. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.

Modeling and Mechanics of Granular and Porous Materials

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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 792/5 ( reviews)

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Book Synopsis Modeling and Mechanics of Granular and Porous Materials by : Gianfranco Capriz

Download or read book Modeling and Mechanics of Granular and Porous Materials written by Gianfranco Capriz. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Soils are complex materials: they have a particulate structure and fluids can seep through pores, mechanically interacting with the solid skeleton. Moreover, at a microscopic level, the behaviour of the solid skeleton is highly unstable. External loadings are in fact taken by grain chains which are continuously destroyed and rebuilt. Many issues of modeling, even of the physical details of the phenomena, remain open, even obscure; de Gennes listed them not long ago in a critical review. However, despite physical complexities, soil mechanics has developed on the assumption that a soil can be seen as a continuum, or better yet as a medium obtained by the superposition of two and sometimes three con and the other fluids, which occupy the same portion of tinua, one solid space. Furthermore, relatively simple and robust constitutive laws were adopted to describe the stress-strain behaviour and the interaction between the solid and the fluid continua. The contrast between the intrinsic nature of soil and the simplistic engi neering approach is self-evident. When trying to describe more and more sophisticated phenomena (static liquefaction, strain localisation, cyclic mo bility, effects of diagenesis and weathering, ..... ), the nalve description of soil must be abandoned or, at least, improved. Higher order continua, incrementally non-linear laws, micromechanical considerations must be taken into account. A new world was opened, where basic mathematical questions (such as the choice of the best tools to model phenomena and the proof of the well-posedness of the consequent problems) could be addressed.

Discrete-element Modeling of Granular Materials

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Release : 2011-05-03
Genre : Mathematics
Kind : eBook
Book Rating : 602/5 ( reviews)

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Book Synopsis Discrete-element Modeling of Granular Materials by : Farhang Radjaï

Download or read book Discrete-element Modeling of Granular Materials written by Farhang Radjaï. This book was released on 2011-05-03. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together in a single volume various methods and skills for particle-scale or discrete-element numerical simulation of granular media. It covers a broad range of topics from basic concepts and methods towards more advanced aspects and technical details applicable to the current research on granular materials. Discrete-element simulations of granular materials are based on four basic models (molecular dynamics, contact dynamics, quasi-static and event driven) dealing with frictional contact interactions and integration schemes for the equations of dynamics. These models are presented in the first chapters of the book, followed by various methods for sample preparation and monitoring of boundary conditions, as well as dimensionless control parameters. Granular materials encountered in real life involve a variety of compositions (particle shapes and size distributions) and interactions (cohesive, hydrodynamic, thermal) that have been extensively covered by several chapters. The book ends with two applications in the field of geo-materials.

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