Mathematics And Mechanics Of Granular Materials

Author : James M. Hill
Publisher : Springer Science & Business Media
ISBN 13 : 1402041837
Total Pages : 320 pages
Book Rating : 4.39/5 ( download)

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Download or read book Mathematics and Mechanics of Granular Materials written by James M. Hill and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3642290531
Total Pages : 396 pages
Book Rating : 4.34/5 ( download)

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Download or read book Mathematical Modeling in Mechanics of Granular Materials written by Oxana Sadovskaya and published by Springer Science & Business Media. This book was released on 2012-06-08 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer Nature
ISBN 13 : 3030492672
Total Pages : 288 pages
Book Rating : 4.70/5 ( download)

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Download or read book Views on Microstructures in Granular Materials written by Pasquale Giovine and published by Springer Nature. This book was released on 2020-11-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Science & Business Media
ISBN 13 : 1461200792
Total Pages : 374 pages
Book Rating : 4.96/5 ( download)

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Download or read book Modeling and Mechanics of Granular and Porous Materials written by Gianfranco Capriz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer
ISBN 13 : 354078277X
Total Pages : 228 pages
Book Rating : 4.73/5 ( download)

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Download or read book Mathematical Models of Granular Matter written by Gianfranco Capriz and published by Springer. This book was released on 2008-04-20 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 9783540338710
Total Pages : 324 pages
Book Rating : 4.13/5 ( download)

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Download or read book Mechanics of Granular Media written by Aleksandr F. Revuzhenko and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Anita Mehta
Publisher : Cambridge University Press
ISBN 13 : 9780521660785
Total Pages : 336 pages
Book Rating : 4.85/5 ( download)

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Download or read book Granular Physics written by Anita Mehta and published by Cambridge University Press. This book was released on 2007-06-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2007 account of developments in granular physics for researchers in statistical and mathematical physics.

Author : Qicheng Sun
Publisher : WIT Press
ISBN 13 : 1845646444
Total Pages : 209 pages
Book Rating : 4.48/5 ( download)

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Download or read book Mechanics of Granular Matter written by Qicheng Sun and published by WIT Press. This book was released on 2013 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : T. Di Matteo
Publisher : World Scientific
ISBN 13 : 9812771999
Total Pages : 268 pages
Book Rating : 4.95/5 ( download)

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Download or read book Granular and Complex Materials written by T. Di Matteo and published by World Scientific. This book was released on 2007 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher :
ISBN 13 : 9814474088
Total Pages : pages
Book Rating : 4.85/5 ( download)

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Download or read book Granular and Complex Materials written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: