Mathematics And Mechanics Of Granular Materials

Author : James M. Hill,A.P.S. Selvadurai
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 46,7 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.

Author : Oxana Sadovskaya,Vladimir Sadovskii
Publisher : Springer Science & Business Media
Page : 396 pages
File Size : 41,8 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.

Author : Pasquale Giovine,Paolo Maria Mariano,Giuseppe Mortara
Publisher : Springer Nature
Page : 288 pages
File Size : 48,8 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.

Author : Gianfranco Capriz,Vito N. Ghionna,Pasquale Giovine
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 42,5 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.

Author : Gianfranco Capriz,Pasquale Giovine,Paolo Maria Mariano
Publisher : Springer Science & Business Media
Page : 228 pages
File Size : 51,8 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.

Author : Aleksandr F. Revuzhenko
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 42,5 Mb
Release : 2007-01-19
Category : Technology & Engineering
ISBN : 3540338713

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Mechanics of Granular Media by Aleksandr F. Revuzhenko Pdf

This monograph covers phenomena of deformation and machining of granular media: macroscopic particles of different size, shape, and surface properties which typically exhibit behavior similar to fluids, as well as the behavior of solids under deformation. The book analyses the behavior of granular media in soils, rocks and stones, metals and various synthetic materials, presenting a theoretical description, applications and understanding of basic phenomena in granular matter.

Author : T. Di Matteo,A. Tordesillas
Publisher : World Scientific
Page : 268 pages
File Size : 55,7 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.

Author : Qicheng Sun,Guangqian Wang
Publisher : WIT Press
Page : 209 pages
File Size : 46,6 Mb
Release : 2013
Category : Technology & Engineering
ISBN : 9781845646448

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Mechanics of Granular Matter by Qicheng Sun,Guangqian Wang Pdf

Focussing on the basic mechanics and underlying physics of granular material, Mechanics of Granular Matter starts with an introduction to contact mechanics of individual particles before moving on to a discussion of the structure of force chain networks and the influence on bulk mechanical properties of granular solids and granular flows. Furthermore, a preliminary multi scale framework is proposed for the nonlinear mechanics and strain localization in granular materials.

Author : Kolumban Hutter,Nina Kirchner
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 42,5 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.

Author : Gianfranco Capriz,Vito N. Ghionna,Pasquale Giovine
Publisher : Birkhauser
Page : 369 pages
File Size : 40,8 Mb
Release : 2002-01-01
Category : Granular materials
ISBN : 3764342412

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

"Modeling and Mechanics of Granular and Porous Materials is fairly unique in the literature. It may serve as both an excellent reference text or in seminars, appealing to graduate students, researchers and scientists in applied mathematics, continuum mechanics, finite element methods, solid mechanics, and hydraulics engineering. A good foundation in continuum mechanics is a prerequisite."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9789814474085

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Granular and Complex Materials by Anonim Pdf

Author : Anita Mehta
Publisher : Cambridge University Press
Page : 336 pages
File Size : 41,6 Mb
Release : 2007-06-28
Category : Science
ISBN : 0521660785

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Granular Physics by Anita Mehta Pdf

2007 account of developments in granular physics for researchers in statistical and mathematical physics.

Author : Igor Aranson,Lev Tsimring
Publisher : OUP Oxford
Page : 368 pages
File Size : 52,5 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.

Author : Etienne Guyon,Jean-Yves Delenne,Farhang Radjai
Publisher : MIT Press
Page : 269 pages
File Size : 43,9 Mb
Release : 2022-08-09
Category : Technology & Engineering
ISBN : 9780262545303

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Built on Sand by Etienne Guyon,Jean-Yves Delenne,Farhang Radjai Pdf

Explaining the science contained in a simple assembly of grains—the most abundant form of matter present on Earth. Granular media—composed of vast amounts of grains, consolidated or not—constitute the most abundant form of solid matter on Earth. Granular materials assemble in disordered configurations scientists often liken to a bag of marbles. Made of macroscopic particles rather than molecules, they defy the standard scheme of classification in terms of solid, liquid, and gas. Granular materials provide a model relevant to various domains of research, including engineering, physics, and biology. William Blake famously wished “To See a World in a Grain of Sand”; in this book, pioneering researchers in granular matter explain the science hidden behind simple grains, shedding light on collective behavior in disordered settings in general. The authors begin by describing the single grain with its different origins, shapes, and sizes, then examine grains in piled or stacked form. They explain the packing fraction of granular media, a crucial issue that bears on the properties displayed in practical applications; explore small-scale deformations in piles of disordered grains, with particular attention to friction; and present theories of various modes of disorder. Along the way, they discuss such concepts as force chains, arching effects, wet grains, sticky contacts, and inertial effects. Drawing on recent numerical simulations as well as classical concepts developed in physics and mechanics, the book offers an accessible introduction to a rapidly developing field.

Author : Dimitrios Kolymbas
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 46,8 Mb
Release : 2000-03-15
Category : Mathematics
ISBN : 3540669191

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Constitutive Modelling of Granular Materials by Dimitrios Kolymbas Pdf

Constitutive models are the key-stone not only for understanding the mechanical behaviour of granular materials (mainly soils but also other granulates such as sugar, wheat, coal, pellets) but also for carrying out numerical predictions by means of the finite elements method. However the extreme complexity of the behaviour of granular materials gave rise to confusing multiplicity of hardy tractable constitutive models proposed so far. the present book comprises a selection of the state-of the-art contributions of world-wide leading specialists with the aim to evaluate, specify and re-assess the present achievements as well as to point on needs for future research.