Mathematical Models Of Granular Matter

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Mathematical Models of Granular Matter

Gianfranco Capriz,Pasquale Giovine,Paolo Maria Mariano
Mathematical Models of Granular Matter Book PDF

Author : Gianfranco Capriz,Pasquale Giovine,Paolo Maria Mariano
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 55,7 Mb
Release : 2008-04-18
Category : Technology & Engineering
ISBN : 9783540782766

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Mathematical Models of Granular Matter by Gianfranco Capriz,Pasquale Giovine,Paolo Maria Mariano Pdf

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

Oxana Sadovskaya,Vladimir Sadovskii
Mathematical Modeling in Mechanics of Granular Materials Book PDF

Author : Oxana Sadovskaya,Vladimir Sadovskii
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 45,8 Mb
Release : 2012-06-08
Category : Technology & Engineering
ISBN : 9783642290534

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Mathematical Modeling in Mechanics of Granular Materials by Oxana Sadovskaya,Vladimir Sadovskii Pdf

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

Dimitrios Kolymbas
Constitutive Modelling of Granular Materials Book PDF

Author : Dimitrios Kolymbas
Publisher : Springer Science & Business Media
Page : 558 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642570186

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Constitutive Modelling of Granular Materials by Dimitrios Kolymbas Pdf

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

Gianfranco Capriz,Vito N. Ghionna,Pasquale Giovine
Modeling and Mechanics of Granular and Porous Materials Book PDF

Author : Gianfranco Capriz,Vito N. Ghionna,Pasquale Giovine
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461200796

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Modeling and Mechanics of Granular and Porous Materials by Gianfranco Capriz,Vito N. Ghionna,Pasquale Giovine Pdf

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.

Computational Granular Dynamics

Thorsten Pöschel,T. Schwager
Computational Granular Dynamics Book PDF

Author : Thorsten Pöschel,T. Schwager
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 53,5 Mb
Release : 2005-11-04
Category : Science
ISBN : 9783540277200

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Computational Granular Dynamics by Thorsten Pöschel,T. Schwager Pdf

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.

Granular and Complex Materials

T. Di Matteo,A. Tordesillas
Granular and Complex Materials Book PDF

Author : T. Di Matteo,A. Tordesillas
Publisher : World Scientific
Page : 268 pages
File Size : 43,7 Mb
Release : 2007
Category : Technology & Engineering
ISBN : 9789812771995

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Granular and Complex Materials by T. Di Matteo,A. Tordesillas Pdf

The science of complex materials continues to engage researchers from a vast range of disciplines, including physics, mathematics, computational science, and virtually all domains of engineering. This volume presents a unique multidisciplinary panorama of the current research in complex materials. The contributions explore an array of problems reflecting recent developments in four main areas: characterization and modeling of disordered packings, micromechanics and continuum theory; discrete element method; statistical mechanics. The common theme is the quest to unravel the connection between the microscopic and macroscopic properties of complex materials. Sample Chapter(s). Chapter 1: Foam as granular matter (2,433 KB). Contents: Foam as Granular Matter (D Weaire et al.); Delaunay Simplex Analysis of the Structure of Equal Sized Spheres (A V Anikeenko et al.); On Entropic Characterization of Granular Materials (R Blumenfeld); Mathematical Modeling of Granular Flow-Slides (I Vardoulakis & S Alevizos); The Mechanics of Brittle Granular Materials (I Einav); Stranger than Friction: Force Chain Buckling and Its Implications for Constitutive Modelling (A Tordesillas); Investigations of Size Effects in Granular Bodies During Plane Strain Compression (J Tejchman & J Grski); Granular Flows: Fundamentals and Applications (P W Cleary); Fine Tuning DEM Simulations to Perform Virtual Experiments with Three-Dimensional Granular Packings (G W Delaney et al.); Fluctuations in Granular Materials (R P Behringer); Statistical Mechanics of Dense Granular Media (M Pica Ciamarra et al.); Compaction of Granular Systems (P Richard et al.). Readership: Physicists, material scientists, soil engineers and applied mathematicians.

Mathematics and Mechanics of Granular Materials

James M. Hill,A.P.S. Selvadurai
Mathematics and Mechanics of Granular Materials Book PDF

Author : James M. Hill,A.P.S. Selvadurai
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 46,5 Mb
Release : 2005-12-27
Category : Science
ISBN : 9781402041839

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Mathematics and Mechanics of Granular Materials by James M. Hill,A.P.S. Selvadurai Pdf

Granular or particulate materials arise in almost every aspect of our lives, including many familiar materials such as tea, coffee, sugar, sand, cement and powders. At some stage almost every industrial process involves a particulate material, and it is usually the cause of the disruption to the smooth running of the process. In the natural environment, understanding the behaviour of particulate materials is vital in many geophysical processes such as earthquakes, landslides and avalanches. This book is a collection of current research from some of the major contributors in the topic of modelling the behaviour of granular materials. Papers from every area of current activity are included, such as theoretical, numerical, engineering and computational approaches. This book illustrates the numerous diverse approaches to one of the outstanding problems of modern continuum mechanics.

Discrete-element Modeling of Granular Materials

Farhang Radjaï,Frédéric Dubois
Discrete element Modeling of Granular Materials Book PDF

Author : Farhang Radjaï,Frédéric Dubois
Publisher : Wiley-ISTE
Page : 0 pages
File Size : 50,5 Mb
Release : 2011-05-03
Category : Mathematics
ISBN : 1848212607

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Discrete-element Modeling of Granular Materials by Farhang Radjaï,Frédéric Dubois Pdf

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.

Views on Microstructures in Granular Materials

Pasquale Giovine,Paolo Maria Mariano,Giuseppe Mortara
Views on Microstructures in Granular Materials Book PDF

Author : Pasquale Giovine,Paolo Maria Mariano,Giuseppe Mortara
Publisher : Springer Nature
Page : 288 pages
File Size : 51,8 Mb
Release : 2020-11-09
Category : Mathematics
ISBN : 9783030492670

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Views on Microstructures in Granular Materials by Pasquale Giovine,Paolo Maria Mariano,Giuseppe Mortara Pdf

This contributed volume provides an up-to-date overview of the mechanics of granular materials, ranging from sparse media to soils. With chapters exploring state-of-the-art theoretical, experimental, and applied trends in the study of granular matter in various states, readers will be motivated to learn about the current challenges and potential avenues of exploration in this active area of research. Including a variety of perspectives, this volume will be a valuable reference for audiences in a number of fields. Specific topics covered include: X-ray tomography techniques for analyzing sand Evaluation of effective stress in unsaturated soils Hyper-plasticity Wave propagation in granular systems Partly saturated porous media Multi-scale approaches to the dynamics of sparse media Views on Microstructures in Granular Materials is an ideal resource for PhD students and researchers in applied mathematics, solid-state physics, civil engineering, and mechanical engineering.

Coherent Structures in Granular Crystals

Christopher Chong,Panayotis G. Kevrekidis
Coherent Structures in Granular Crystals Book PDF

Author : Christopher Chong,Panayotis G. Kevrekidis
Publisher : Springer
Page : 94 pages
File Size : 50,9 Mb
Release : 2018-03-29
Category : Science
ISBN : 9783319778846

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Coherent Structures in Granular Crystals by Christopher Chong,Panayotis G. Kevrekidis Pdf

This book summarizes a number of fundamental developments at the interface of granular crystals and the mathematical and computational analysis of some of their key localized nonlinear wave solutions. The subject presents a blend of the appeal of granular crystals as a prototypical engineering tested for a variety of diverse applications, the novelty in the nonlinear physics of its coherent structures, and the tractability of a series of mathematical and computational techniques to analyse them. While the focus is on principal one-dimensional solutions such as shock waves, traveling waves, and discrete breathers, numerous extensions of the discussed patterns, e.g., in two dimensions, chains with defects, heterogeneous settings, and other recent developments are discussed. The emphasis on the subject was motivated by models in condensed matter physics, ferroelectrics, high energy physics, and statistical mechanics, leading to developments in mathematical analysis, numerical computation and insights on the physical aspects of the model. The book appeals to researchers in the field, as well as for graduate and advanced undergraduate students. It will be of interest to mathematicians, physicists and engineers alike.

Granular Patterns

Igor Aranson,Lev Tsimring
Granular Patterns Book PDF

Author : Igor Aranson,Lev Tsimring
Publisher : OUP Oxford
Page : 368 pages
File Size : 47,9 Mb
Release : 2009-03-12
Category : Science
ISBN : 9780191560002

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Granular Patterns by Igor Aranson,Lev Tsimring Pdf

This book is a systematic introduction to a new and exciting field of patterns in granular matter. Granular materials are collections of discrete macroscopic solid grains with a typical size large enough that thermal fluctuations are negligible. Despite this seeming simplicity, properties of granular materials are different from conventional solids, liquids and gases due to the dissipative and highly nonlinear nature of forces among grains. The last decade has seen an explosion of interest to nonequilibrium phenomena in granular matter among physicists, both on the experimental and theoretical side. Among these phenomena, one of the most interesting is the ability of granular matter upon mechanical excitation to form highly ordered patterns such as ripples, avalanches, or bands of segregated materials. This book presents a comprehensive review of experiments and novel theoretical concepts needed to understand the mechanisms of pattern formation in granular materials. This book is written for experienced physicists interested in this new rapidly developing field, as well as young researchers and graduate students entering this field. We hope that both experimentalists and theorists already working in the field will find it useful.

Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations

Kolumban Hutter,Nina Kirchner
Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations Book PDF

Author : Kolumban Hutter,Nina Kirchner
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 53,6 Mb
Release : 2013-02-26
Category : Technology & Engineering
ISBN : 9783540365655

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Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations by Kolumban Hutter,Nina Kirchner Pdf

A "Sonderforschungsbereich" (SFB) is a programme of the "Deutsche For schungsgemeinschaft" to financially support a concentrated research effort of a number of scientists located principally at one University, Research La boratory or a number of these situated in close proximity to one another so that active interaction among individual scientists is easily possible. Such SFB are devoted to a topic, in our case "Deformation and Failure in Metallic and Granular M aterialK' , and financing is based on a peer reviewed proposal for three (now four) years with the intention of several prolongations after evaluation of intermediate progress and continuation reports. An SFB is terminated in general by a formal workshop, in which the state of the art of the achieved results is presented in oral or I and poster communications to which also guests are invited with whom the individual project investigators may have collaborated. Moreover, a research report in book form is produced in which a number of articles from these lectures are selected and collected, which present those research results that withstood a rigorous reviewing pro cess (with generally two or three referees). The theme deformation and failure of materials is presented here in two volumes of the Lecture Notes in Applied and Computational Mechanics by Springer Verlag, and the present volume is devoted to granular and porous continua. The complementary volume (Lecture Notes in Applied and Com putational Mechanics, vol. 10, Eds. K. HUTTER & H.

IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows

Anonim
IUTAM ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows Book PDF

Author : Anonim
Publisher : Unknown
Page : 444 pages
File Size : 54,8 Mb
Release : 2010
Category : Bulk solids flow
ISBN : OCLC:649060475

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IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows by Anonim Pdf

"This symposium brought together mathematicians, physicists and engineers interested in the continuing development and application of mathematical models of granular matter. The main objective was to promote the interchange of new ideas and methodologies in areas ranging from mathematical physics and continuum mechanics to various applications in civil, geotechnical and process engineering. The main themes of the symposium were continuum models for slowly and rapidly sheared granular media, waves, statistical mechanics and statistical physics, with extensive consideration of both numerical simulation and experimental applications. Readership: academic physicists, mechanical engineers, civil engineers, chemical engineers, applied mathematicians, and theoretical mechanicians."--Volume detail webpage.

Understanding the Discrete Element Method

Hans-Georg Matuttis,Jian Chen
Understanding the Discrete Element Method Book PDF

Author : Hans-Georg Matuttis,Jian Chen
Publisher : John Wiley & Sons
Page : 484 pages
File Size : 48,8 Mb
Release : 2014-06-23
Category : Science
ISBN : 9781118567203

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Understanding the Discrete Element Method by Hans-Georg Matuttis,Jian Chen Pdf

Gives readers a more thorough understanding of DEM and equips researchers for independent work and an ability to judge methods related to simulation of polygonal particles Introduces DEM from the fundamental concepts (theoretical mechanics and solidstate physics), with 2D and 3D simulation methods for polygonal particles Provides the fundamentals of coding discrete element method (DEM) requiring little advance knowledge of granular matter or numerical simulation Highlights the numerical tricks and pitfalls that are usually only realized after years of experience, with relevant simple experiments as applications Presents a logical approach starting withthe mechanical and physical bases,followed by a description of the techniques and finally their applications Written by a key author presenting ideas on how to model the dynamics of angular particles using polygons and polyhedral Accompanying website includes MATLAB-Programs providing the simulation code for two-dimensional polygons Recommended for researchers and graduate students who deal with particle models in areas such as fluid dynamics, multi-body engineering, finite-element methods, the geosciences, and multi-scale physics.

IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows

J.D. Goddard,Pasquale Giovine,James T. Jenkins
IUTAM ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows Book PDF

Author : J.D. Goddard,Pasquale Giovine,James T. Jenkins
Publisher : American Institute of Physics
Page : 0 pages
File Size : 53,9 Mb
Release : 2010-05-21
Category : Science
ISBN : 073540772X

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IUTAM-ISIMM Symposium on Mathematical Modeling and Physical Instances of Granular Flows by J.D. Goddard,Pasquale Giovine,James T. Jenkins Pdf

This symposium brought together mathematicians, physicists and engineers interested in the continuing development and application of mathematical models of granular matter. The main objective was to promote the interchange of new ideas and methodologies in areas ranging from mathematical physics and continuum mechanics to various applications in civil, geotechnical and process engineering. The main themes of the symposium were continuum models for slowly and rapidly sheared granular media, waves, statistical mechanics and statistical physics, with extensive consideration of both numerical simulation and experimental applications.