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Author: Gregg Lois
Publisher: ProQuest
ISBN: 9780542855726
Category :
Languages : en
Pages : 304
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Book Description
These basic results regarding the microscopic grain-interactions are generic to granular media and have important consequences for constitutive modeling. In particular we show that kinetic theories, which assume binary collisions, only apply below the network transition. In this regime we show that Enskog kinetic theory agrees with data from the simulations. We then proceed to introduce two analytical theories that use the observed microscopic grain-interactions to make predictions. First we propose a new constitutive model--the Force-Network model--that quantitatively predicts constitutive relations using properties of the force-networks for all values of xi. Second we demonstrate that STZ theory, which predicts constitutive relations by assuming certain dynamical correlations in amorphous materials, is in agreement with both the microscopic motion of grains and measured constitutive relations for large xi.
Author: Gregg Lois
Publisher: ProQuest
ISBN: 9780542855726
Category :
Languages : en
Pages : 304
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Book Description
These basic results regarding the microscopic grain-interactions are generic to granular media and have important consequences for constitutive modeling. In particular we show that kinetic theories, which assume binary collisions, only apply below the network transition. In this regime we show that Enskog kinetic theory agrees with data from the simulations. We then proceed to introduce two analytical theories that use the observed microscopic grain-interactions to make predictions. First we propose a new constitutive model--the Force-Network model--that quantitatively predicts constitutive relations using properties of the force-networks for all values of xi. Second we demonstrate that STZ theory, which predicts constitutive relations by assuming certain dynamical correlations in amorphous materials, is in agreement with both the microscopic motion of grains and measured constitutive relations for large xi.
Author: Dimitrios Kolymbas
Publisher: Springer Science & Business Media
ISBN: 3642570186
Category : Science
Languages : en
Pages : 558
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Book Description
In view of its extreme complexity the mathematical description of the mechanical behaviour of granular materials is an extremely difficult task. Today many different models compete with each other. However, the complexity of the models hinders their comparison, and the potential users are confused and, often, disencouraged. This book is expected to serve as a milestone in the present situation, to evaluate the present methodes, to clear up the situation, to focus and encourage for further research activities.
Author: Bernard Cambou
Publisher: John Wiley & Sons
ISBN: 1118623088
Category : Science
Languages : en
Pages : 263
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Book Description
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.
Author: Krzysztof Wilmański
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
Author: Delphine Brancherie
Publisher: John Wiley & Sons
ISBN: 1786302594
Category : Science
Languages : en
Pages : 304
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Book Description
Mechanical behaviors of materials are highly influenced by their architectures and/or microstructures. Hence, progress in material science involves understanding and modeling the link between the microstructure and the material behavior at different scales. This book gathers contributions from eminent researchers in the field of computational and experimental material modeling. It presents advanced experimental techniques to acquire the microstructure features together with dedicated numerical and analytical tools to take into account the randomness of the micro-structure.
Author: Xavier Garcia Teijeiro
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: K. Iwashita
Publisher: CRC Press
ISBN: 9789054104612
Category : Technology & Engineering
Languages : en
Pages : 408
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Book Description
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: Gianfranco Capriz
Publisher: Springer
ISBN: 354078277X
Category : Technology & Engineering
Languages : en
Pages : 228
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Book Description
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: T. Di Matteo
Publisher: World Scientific
ISBN: 9812771999
Category : Technology & Engineering
Languages : en
Pages : 268
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Book Description
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: H.-B. Mühlhaus
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 504
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Book Description
Continuum Models for Materials with Microstructure Edited by H. B. Mühlhaus, CSIRO, Nedlands, Australia When the characteristic length-scale (‘fabric dimension’) of the microstructure of materials is not small when compared to the macroscopic dimensions, the well established framework for the modelling of deformation processes for simple materials needs enhancement. To introduce an internal length scale, one has to resort to continuum models such as Nonlocal Theories, Cosserat or Gradient-type Models, Discrete Element and Lattice Theories or modified Viscoplastic Models. These new approaches are addressed in this volume. It includes contributions from research areas as diverse as bio-mechanics, concrete engineering and solid state physics. Generalised continuum models and its applications are presented and complemented by numerical and analytical tools for the solution of boundary value problems.
