Mathematics And Mechanics Of Granular Materials PDF Download
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Author | : James M. Hill |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2005-12-27 |
Genre | : Science |
ISBN | : 1402041837 |
Download Mathematics and Mechanics of Granular Materials Book in PDF, ePub and Kindle
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 |
Publisher | : Springer Science & Business Media |
Total Pages | : 396 |
Release | : 2012-06-08 |
Genre | : Technology & Engineering |
ISBN | : 3642290531 |
Download Mathematical Modeling in Mechanics of Granular Materials Book in PDF, ePub and Kindle
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 | : Gianfranco Capriz |
Publisher | : Springer Science & Business Media |
Total Pages | : 374 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461200792 |
Download Modeling and Mechanics of Granular and Porous Materials Book in PDF, ePub and Kindle
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 | : Aleksandr F. Revuzhenko |
Publisher | : Springer Science & Business Media |
Total Pages | : 324 |
Release | : 2007-01-19 |
Genre | : Technology & Engineering |
ISBN | : 9783540338710 |
Download Mechanics of Granular Media Book in PDF, ePub and Kindle
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 | : Pasquale Giovine |
Publisher | : Springer Nature |
Total Pages | : 288 |
Release | : 2020-11-09 |
Genre | : Mathematics |
ISBN | : 3030492672 |
Download Views on Microstructures in Granular Materials Book in PDF, ePub and Kindle
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 |
Publisher | : Springer |
Total Pages | : 228 |
Release | : 2008-04-20 |
Genre | : Technology & Engineering |
ISBN | : 354078277X |
Download Mathematical Models of Granular Matter Book in PDF, ePub and Kindle
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 | : Qicheng Sun |
Publisher | : WIT Press |
Total Pages | : 209 |
Release | : 2013 |
Genre | : Technology & Engineering |
ISBN | : 1845646444 |
Download Mechanics of Granular Matter Book in PDF, ePub and Kindle
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 | : Anita Mehta |
Publisher | : Cambridge University Press |
Total Pages | : 336 |
Release | : 2007-06-28 |
Genre | : Science |
ISBN | : 9780521660785 |
Download Granular Physics Book in PDF, ePub and Kindle
2007 account of developments in granular physics for researchers in statistical and mathematical physics.
Author | : K. Iwashita |
Publisher | : CRC Press |
Total Pages | : 408 |
Release | : 2020-08-13 |
Genre | : Study Aids |
ISBN | : 1000150518 |
Download Mechanics of Granular Materials: An Introduction Book in PDF, ePub and Kindle
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.
Author | : Tomaso Aste |
Publisher | : World Scientific |
Total Pages | : 268 |
Release | : 2007 |
Genre | : Science |
ISBN | : 9812771980 |
Download Granular and Complex Materials Book in PDF, ePub and Kindle
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.