Advances in Micromechanics of Granular Materials
Advances in Micromechanics of Granular Materials

Author: H.H. Shen

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 476

ISBN-13: 1483291286

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The 45 papers presented in this volume all share the common goal of constructing continuum models based on the micro behaviours of granular materials. Computer simulations continue to provide observations to aid modelling, while new experimental works begin to show promise for increased understanding in this area. Theoretical studies have extended into transitions between the rapid and quasi-static regimes and the fluid and solid mixture flows. Exciting new topics discussed in this volume include: concepts of a measure for randomness in quasi-static granular materials, which is analogous to the granular temperature in a rapid flow; scaling effects in granular media and their implications in both physical and computer simulations; instability; and boundary effects on heterogeneous behavior in simple flow configurations, which are posing new challenges for mathematical modelling. The volume will prove indispensable reading for researchers interested in the current developments in the fundamental aspects of mechanics of granular materials.

Micromechanics of Granular Materials
Micromechanics of Granular Materials

Author: Bernard Cambou

Publisher: John Wiley & Sons

Published: 2013-03-01

Total Pages: 263

ISBN-13: 1118623088

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Nearly 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.

Numerical Modeling in Micromechanics via Particle Methods - 2004
Numerical Modeling in Micromechanics via Particle Methods - 2004

Author: Y. Shimizu

Publisher: CRC Press

Published: 2004-09-15

Total Pages: 448

ISBN-13: 1482283972

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The variety of applications of PFC has continued to increase in the ten years since the first release of these programs. This volume contains a collection of fifty-two papers selected for presentation at the 2nd PFC Symposium, held 27-29 October 2004, in Kyoto, Japan. These contributions cover a wide range of engineering applications and theoretica

Mathematics and Mechanics of Granular Materials
Mathematics and Mechanics of Granular Materials

Author: James M. Hill

Publisher: Springer Science & Business Media

Published: 2005-12-27

Total Pages: 320

ISBN-13: 1402041837

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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.

The Mechanics of Earthquakes and Faulting
The Mechanics of Earthquakes and Faulting

Author: Christopher H. Scholz

Publisher: Cambridge University Press

Published: 2002-05-02

Total Pages: 508

ISBN-13: 9780521655408

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Our understanding of earthquakes and faulting processes has developed significantly since publication of the successful first edition of this book in 1990. This revised edition, first published in 2002, was therefore thoroughly up-dated whilst maintaining and developing the two major themes of the first edition. The first of these themes is the connection between fault and earthquake mechanics, including fault scaling laws, the nature of fault populations, and how these result from the processes of fault growth and interaction. The second major theme is the central role of the rate-state friction laws in earthquake mechanics, which provide a unifying framework within which a wide range of faulting phenomena can be interpreted. With the inclusion of two chapters explaining brittle fracture and rock friction from first principles, this book is written at a level which will appeal to graduate students and research scientists in the fields of seismology, physics, geology, geodesy and rock mechanics.

Numerical Modeling in Micromechanics via Particle Methods
Numerical Modeling in Micromechanics via Particle Methods

Author: H. Konietzky

Publisher: Routledge

Published: 2017-11-01

Total Pages: 334

ISBN-13: 135142758X

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Particle methods have seen increasing use in several engineering and scientific fields, both because of their unique modelling capabilities and the availability of the necessary computational power. This title focuses on their theory and application.

IUTAM Symposium on Mechanics of Granular and Porous Materials
IUTAM Symposium on Mechanics of Granular and Porous Materials

Author: N.A. Fleck

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 460

ISBN-13: 9401155208

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This volume constitutes the Proceedings of the IUT AM Symposium on Mechanics of Granular and Porous Materials, held in Cambridge from 15th to 17th July 1996. The objectives were: 1. To review existing experimental results and practical phenomena on the flow and compaction of particulate media; 2. To review the current state of constitutive models, and their implementation for predicting the macroscopic response. 3. Identification of the shortcomings of existing models and procedures in understanding practical phenomena. The Symposium brought together the research communities of solid mechanics, materials science, geomechanics, chemical engineering and mathematics to review current knowledge of the flow and compaction of granular and porous media. The meeting emphasised the development and use of constitutive laws to model practical processes such as mixing, drainage and drying, compaction of metal and ceramic powders and soils, and instabilities associated with these processes. A common theme was to develop constitutive models from an understanding of the underlying physical mechanisms of deformation and fracture. It was particularly rewarding to find that the separate research communities came together during the meeting and came to a consensus as to the main mechanisms of deformation and failure of particulate and porous solids.

Instabilities Modeling in Geomechanics
Instabilities Modeling in Geomechanics

Author: Ioannis Stefanou

Publisher: John Wiley & Sons

Published: 2021-03-12

Total Pages: 368

ISBN-13: 1119755182

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Instabilities Modeling in Geomechanics describes complex mechanisms which are frequently met in earthquake nucleation, geothermal energy production, nuclear waste disposal and CO2 sequestration. These mechanisms involve systems of non-linear differential equations that express the evolution of the geosystem (e.g. strain localization, temperature runaway, pore pressure build-up, etc.) at different length and time scales. In order to study the evolution of a system and possible instabilities, it is essential to know the mathematical properties of the governing equations. Therefore, questions of the existence, uniqueness and stability of solutions naturally arise. This book particularly explores bifurcation theory and stability analysis, which are robust and rigorous mathematical tools that allow us to study the behavior of complex geosystems, without even explicitly solving the governing equations. The contents are organized into 10 chapters which illustrate the application of these methods in various fields of geomechanics.

Granular Dynamics, Contact Mechanics and Particle System Simulations
Granular Dynamics, Contact Mechanics and Particle System Simulations

Author: Colin Thornton

Publisher: Springer

Published: 2015-09-03

Total Pages: 202

ISBN-13: 3319187112

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This book is devoted to the Discrete Element Method (DEM) technique, a discontinuum modelling approach that takes into account the fact that granular materials are composed of discrete particles which interact with each other at the microscale level. This numerical simulation technique can be used both for dispersed systems in which the particle-particle interactions are collisional and compact systems of particles with multiple enduring contacts. The book provides an extensive and detailed explanation of the theoretical background of DEM. Contact mechanics theories for elastic, elastic-plastic, adhesive elastic and adhesive elastic-plastic particle-particle interactions are presented. Other contact force models are also discussed, including corrections to some of these models as described in the literature, and important areas of further research are identified. A key issue in DEM simulations is whether or not a code can reliably simulate the simplest of systems, namely the single particle oblique impact with a wall. This is discussed using the output obtained from the contact force models described earlier, which are compared for elastic and inelastic collisions. In addition, further insight is provided for the impact of adhesive particles. The author then moves on to provide the results of selected DEM applications to agglomerate impacts, fluidised beds and quasi-static deformation, demonstrating that the DEM technique can be used (i) to mimic experiments, (ii) explore parameter sweeps, including limiting values, or (iii) identify new, previously unknown, phenomena at the microscale. In the DEM applications the emphasis is on discovering new information that enhances our rational understanding of particle systems, which may be more significant than developing a new continuum model that encompasses all microstructural aspects, which would most likely prove too complicated for practical implementation. The book will be of interest to academic and industrial researchers working in particle technology/process engineering and geomechanics, both experimentalists and theoreticians.

Computational Earthquake Science Part I
Computational Earthquake Science Part I

Author: Andrea Donnellan

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 290

ISBN-13: 3034878737

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Exciting developments in earthquake science have benefited from new observations, improved computational technologies, and improved modeling capabilities. Designing models of the earthquake of the earthquake generation process is a grand scientific challenge due to the complexity of phenomena and range of scales involved from microscopic to global. Such models provide powerful new tools for the study of earthquake precursory phenomena and the earthquake cycle. Through workshops, collaborations and publications the APEC Cooperation for Earthquake Simulations (ACES) aims to develop realistic supercomputer simulation models for the complete earthquake generation process, thus providing a "virtual laboratory" to probe earthquake behavior. Part I of the book covers microscopic simulations, scaling physics and earthquake generation and cycles. This part also focuses on plate processes and earthquake generation from a macroscopic standpoint.