Mathematics and Mechanics of Granular Materials

Mathematics and Mechanics of Granular Materials PDF

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.

Mathematical Modeling in Mechanics of Granular Materials

Mathematical Modeling in Mechanics of Granular Materials PDF

Author: Oxana Sadovskaya

Publisher: Springer Science & Business Media

Published: 2012-06-08

Total Pages: 396

ISBN-13: 3642290531

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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.

Modeling and Mechanics of Granular and Porous Materials

Modeling and Mechanics of Granular and Porous Materials PDF

Author: Gianfranco Capriz

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 374

ISBN-13: 1461200792

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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.

Mechanics of Granular Media

Mechanics of Granular Media PDF

Author: Aleksandr F. Revuzhenko

Publisher: Springer Science & Business Media

Published: 2007-01-19

Total Pages: 324

ISBN-13: 9783540338710

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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.

Views on Microstructures in Granular Materials

Views on Microstructures in Granular Materials PDF

Author: Pasquale Giovine

Publisher: Springer Nature

Published: 2020-11-09

Total Pages: 288

ISBN-13: 3030492672

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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.

Mathematical Models of Granular Matter

Mathematical Models of Granular Matter PDF

Author: Gianfranco Capriz

Publisher: Springer

Published: 2008-04-20

Total Pages: 228

ISBN-13: 354078277X

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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.

Granular Physics

Granular Physics PDF

Author: Anita Mehta

Publisher: Cambridge University Press

Published: 2007-06-28

Total Pages: 336

ISBN-13: 9780521660785

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

Mechanics of Granular Matter

Mechanics of Granular Matter PDF

Author: Qicheng Sun

Publisher: WIT Press

Published: 2013

Total Pages: 209

ISBN-13: 1845646444

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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.

Mechanics of Granular Materials: An Introduction

Mechanics of Granular Materials: An Introduction PDF

Author: K. Iwashita

Publisher: CRC Press

Published: 2020-08-13

Total Pages: 408

ISBN-13: 1000150518

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This textbook compiles reports written by about 35 internationally recognized authorities, and covers a range of interests for geotechnical engineers. Topics include: fundamentals for mechanics of granular materials; continuum theory of granular materials; and discrete element approaches.

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

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

Author: Kolumban Hutter

Publisher: Springer Science & Business Media

Published: 2013-02-26

Total Pages: 430

ISBN-13: 3540365656

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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.