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Mathematical Models Of Granular Matter


Mathematical Models Of Granular Matter
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Mathematical Models Of Granular Matter


Mathematical Models Of Granular Matter
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Author : Gianfranco Capriz
language : en
Publisher: Springer
Release Date : 2008-04-20

Mathematical Models Of Granular Matter written by Gianfranco Capriz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-20 with Technology & Engineering categories.


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 Models Of Granular Matter


Mathematical Models Of Granular Matter
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Author : Gianfranco Capriz
language : en
Publisher: Springer
Release Date : 2009-08-29

Mathematical Models Of Granular Matter written by Gianfranco Capriz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Technology & Engineering categories.


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


Mathematical Modeling In Mechanics Of Granular Materials
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Author : Oxana Sadovskaya
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-08

Mathematical Modeling In Mechanics Of Granular Materials written by Oxana Sadovskaya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-08 with Technology & Engineering categories.


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.



Discrete Element Modeling Of Granular Materials


Discrete Element Modeling Of Granular Materials
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Author : Farhang Radjaï
language : en
Publisher: Wiley-ISTE
Release Date : 2011-05-03

Discrete Element Modeling Of Granular Materials written by Farhang Radjaï and has been published by Wiley-ISTE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.


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.



Micro To Macro Mathematical Modelling In Soil Mechanics


Micro To Macro Mathematical Modelling In Soil Mechanics
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Author : Pasquale Giovine
language : en
Publisher: Springer
Release Date : 2019-03-25

Micro To Macro Mathematical Modelling In Soil Mechanics written by Pasquale Giovine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-25 with Science categories.


This special issue collects selected contributions (excluding general lectures) of a Symposium on "Micro to MACRO Mathematical Modelling in Soil Mechanics", which took place at the University of Reggio Calabria, Italy, from May 29th to June 1st, 2018. The Symposium provided an opportunity to enhance the scientific debate on the construction of mathematical models for the description of the physical behaviour of soils, as well as on the suggestions provided by the micro-mechanical observation of the matter. The focus was on the comparison between the appropriateness of models and the need of mathematics to obtain rigorous results, which involves know-how from applied mathematical physics, geotechnical engineering and mechanics of solids. The contributions were selected by the Editors and the other Members of the Scientific Committee of the Symposium: Gianfranco Capriz (Pisa, Roma), Claudio di Prisco (Milan), Wolfgang Ehlers (Stuttgart), James T. Jenkins (Cornell), Stefan Luding (Twente), David Muir Wood (Dundee), Kenichi Soga (Berkeley).



Wet Granular Matter


Wet Granular Matter
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Author : Stephan Herminghaus
language : en
Publisher: World Scientific
Release Date : 2013

Wet Granular Matter written by Stephan Herminghaus and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.


This is a monograph written for the young and advanced researcher entering the field of wet granular matter, and is keen to understand the basic physical principles governing this state of soft matter. It treats wet granulates as an instance of a ternary system, consisting of the grains, a primary, and a secondary fluid. After addressing wetting phenomena in general and outlining the basic facts on dry granular systems, a chapter on basic mechanisms and their effects is dedicated to every region of the ternary phase diagram. Effects of grain shape and roughness are considered as well. Rather than addressing engineering aspects such as existing books on this topic do, the book aims to provide a generalized framework suitable for those who want to understand these systems on a more fundamental basis.



Mathematical Modelling In Solid Mechanics


Mathematical Modelling In Solid Mechanics
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Author : Francesco dell'Isola
language : en
Publisher: Springer
Release Date : 2017-03-10

Mathematical Modelling In Solid Mechanics written by Francesco dell'Isola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-10 with Science categories.


This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics: mathematical modelling in solid, fluid and contact mechanics nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools mechanics of fibre-reinforced materials behaviour of elasto-plastic materials accounting for the microstructural defects definition of structural defects based on the differential geometry concepts or on the atomistic basis interaction between phase transformation and dislocations at nano-scale energetic arguments bifurcation and post-buckling analysis of elasto-plastic structures engineering optimization and design, global optimization and related algorithms The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.



Challenges In Granular Physics


Challenges In Granular Physics
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Author : Thomas C. Halsey
language : en
Publisher: World Scientific
Release Date : 2002

Challenges In Granular Physics written by Thomas C. Halsey and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


"This volume is the tangible result of a conference ... held as an Adriatico Research Conference at the International Centre for Theoretical Physics in Trieste, Italy, in August 2001"--Pref.



Computational Granular Dynamics


Computational Granular Dynamics
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Author : Thorsten Pöschel
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-11-04

Computational Granular Dynamics written by Thorsten Pöschel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-04 with Science categories.


Computer simulations not only belong to the most important methods for the theoretical investigation of granular materials, but provide the tools that have enabled much of the expanding research by physicists and engineers. The present book is intended to serve as an introduction to the application of numerical methods to systems of granular particles. Accordingly emphasis is on a general understanding of the subject rather than on the presentation of latest advances in numerical algorithms. Although a basic knowledge of C++ is needed for the understanding of the numerical methods and algorithms in the book, it avoids usage of elegant but complicated algorithms to remain accessible for those who prefer to use a different programming language. While the book focuses more on models than on the physics of granular material, many applications to real systems are presented.



Kinetic Theory Of Granular Gases


Kinetic Theory Of Granular Gases
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Author : Nikolai V. Brilliantov
language : en
Publisher: Oxford University Press
Release Date : 2010-11-11

Kinetic Theory Of Granular Gases written by Nikolai V. Brilliantov and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-11 with Science categories.


In contrast to molecular gases (for example, air), the particles of granular gases, such as a cloud of dust, lose part of their kinetic energy when they collide, giving rise to many exciting physical properties. The book provides a self-contained introduction to the theory of granular gases for advanced undergraduates and beginning graduates.