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Author: Jian-Fei Chen
Publisher: CRC Press
Published: 2008-06-23
Total Pages: 342
ISBN-13: 0203884442
DOWNLOAD EBOOKThis volume features 29 invited papers presented at the Royal Society of Edinburgh on 1-2 July 2008 by colleagues, collaborators, students and friends of Professor J. Michael Rotter (FREng, FRSE, FICE, FASCE, FIStructE, FIEAust) in honour of his 60th birthday.The articles published in this volume will be of great value to readers as it contains con
Author: Bruno Andreotti
Publisher: Cambridge University Press
Published: 2013-06-13
Total Pages: 471
ISBN-13: 1107034795
DOWNLOAD EBOOKProvides the state-of-the-art of the physics of granular media for graduate students and researchers in physics, applied mathematics and engineering.
Author: Etienne Guyon
Publisher: MIT Press
Published: 2020-03-31
Total Pages: 270
ISBN-13: 026204370X
DOWNLOAD EBOOKExplaining 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: Bernard Cambou
Publisher: John Wiley & Sons
Published: 2013-03-01
Total Pages: 263
ISBN-13: 1118623088
DOWNLOAD EBOOKNearly all solids are compised of grains. However most studies treat materials as a continious solid. The book applies analysis used on loose granular materials to dense grainular materials. This title’s main focus is devoted to static or dynamic loadings applied to dense materials, although rapid flows and widely dispersed media are also mentioned briefly. Three essential areas are covered: Local variable analysis: Contact forces, displacements and rotations, orientation of contacting particles and fabric tensors are all examples of local variables. Their statistical distributions, such as spatial distribution and possible localization, are analyzed, taking into account experimental results or numerical simulations. Change of scales procedures: Also known as “homogenization techniques”, these procedures make it possible to construct continuum laws to be used in a continuum mechanics approach or performing smaller scale analyses. Numerical modeling: Several methods designed to calculate approximate solutions of dynamical equations together with unilateral contact and frictional laws are presented, including molecular dynamics, the distinct element method and non-smooth contact dynamics. Numerical examples are given and the quality of numerical approximations is discussed.
Author: Tomaso Aste
Publisher: World Scientific
Published: 2007
Total Pages: 268
ISBN-13: 9812771980
DOWNLOAD EBOOKThe 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.
Author: Qicheng Sun
Publisher: WIT Press
Published: 2013
Total Pages: 209
ISBN-13: 1845646444
DOWNLOAD EBOOKFocussing 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: Dimitrios Kolymbas
Publisher: Springer Science & Business Media
Published: 2000-03-15
Total Pages: 576
ISBN-13: 9783540669197
DOWNLOAD EBOOKConstitutive 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.
Author: Thorsten Pöschel
Publisher: Springer Science & Business Media
Published: 2001-02-27
Total Pages: 454
ISBN-13: 3540414584
DOWNLOAD EBOOK"Granular Gases" are diluted many-particle systems in which the mean free path of the particles is much larger than the typical particle size, and where particle collisions occur dissipatively. The dissipation of kinetic energy can lead to effects such as the formation of clusters, anomalous diffusion and characteristic shock waves to name but a few. The book is organized as follows: Part I comprises the rigorous theoretical results for the dilute limit. The detailed properties of binary collisions are described in Part II. Part III contains experimental investigations of granular gases. Large-scale behaviour as found in astrophysical systems is discussed in Part IV. Part V, finally, deals with possible generalizations for dense granular systems.
Author: Richard A Dunlap
Publisher: Morgan & Claypool Publishers
Published: 2018-12-05
Total Pages: 125
ISBN-13: 1643273388
DOWNLOAD EBOOKFor many years, evidence suggested that all solid materials either possessed a periodic crystal structure as proposed by the Braggs or they were amorphous glasses with no long-range order. In the 1970s, Roger Penrose hypothesized structures (Penrose tilings) with long-range order which were not periodic. The existence of a solid phase, known as a quasicrystal, that possessed the structure of a three dimensional Penrose tiling, was demonstrated experimentally in 1984 by Dan Shechtman and colleagues. Shechtman received the 2011 Nobel Prize in Chemistry for his discovery. The discovery and description of quasicrystalline materials provided the first concrete evidence that traditional crystals could be viewed as a subset of a more general category of ordered materials. This book introduces the diversity of structures that are now known to exist in solids through a consideration of quasicrystals (Part I) and the various structures of elemental carbon (Part II) and through an analysis of their relationship to conventional crystal structures. Both quasicrystals and the various allotropes of carbon are excellent examples of how our understanding of the microstructure of solids has progressed over the years beyond the concepts of traditional crystallography.
Author: Christopher Chong
Publisher: Springer
Published: 2018-03-29
Total Pages: 100
ISBN-13: 3319778846
DOWNLOAD EBOOKThis 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.
