Granular Materials at Meso-scale

Towards a Change of Scale Approach
 
 
ISTE Press - Elsevier
  • 1. Auflage
  • |
  • erschienen am 19. August 2016
  • |
  • 196 Seiten
 
E-Book | ePUB mit Adobe DRM | Systemvoraussetzungen
978-0-08-101077-8 (ISBN)
 

Granular Materials at Meso-scale: Towards a Change of Scale Approach proposes a new way for developing an efficient change of scale-considering a meso-scale defined at the level of local arrays of particles. The change of scale is known to be a very interesting way to improve the modelling of mechanical behavior granular materials. In the past, studies have been proposed using a micro-scale at the grain level to perform change of scale, but limitations have been proven for these approaches.

Definition and analysis of the phases are detailed, constituted by sets of meso-domains sharing the same texture characteristics. The authors propose a local constitutive model for the phases, allowing the constitutive model of the representative elementary volume to be definied from a change-of-scale approach and, finally, presenting the validation of obtained modeling on cyclic loadings.


  • Proposes a new way for developing an efficient change of scale-considering a meso-scale
  • Explores local meso-domains and texture characteristics
  • Defines meso-strain and stress
  • Analyzes the evolution of these variables and texture characteristics in relation to the applied loading


Bernard Cambou is an Engineer from Ecole Centrale de Lyon, Ph.D. He holds the position of State University Professor and is a former director of the Civil Engineering Department. He is Professor within the teaching department of Solid Mechanics, Mechanical Engineering and the Laboratory of Tribology and Systems Dynamics, UMR CNRS 5513, École Centrale de Lyon.
  • Englisch
  • Saint Louis
Elsevier Science
  • 15,97 MB
978-0-08-101077-8 (9780081010778)
008101077X (008101077X)
weitere Ausgaben werden ermittelt
  • Front Cover
  • Granular Materials at the Meso-scale: Towards a Change of Scale Approach
  • Copyright
  • Contents
  • Foreword
  • Acknowledgments
  • Preface
  • Symbols
  • Mathematical symbols
  • Stress and strain defined at different scales for 2D materials
  • Variables defined at the sample level
  • Local variables defined for contacts and internal variables
  • Local variables defined for particles
  • Variables defined for triangular elements
  • Variables defined for meso-domains
  • Variables defined for phases
  • Variables used in the CJS model for each phase
  • Introduction
  • I.1. The different scales considered
  • Chapter 1: Previous Approaches and Motivation for the Use of the Meso-scale
  • 1.1. Change of scale for texture variables
  • 1.2. Change of scale for static variables
  • 1.3. Change of scale for kinematic variables
  • 1.4. Statistical homogenization in granular materials
  • 1.5. Difficulties and limitations for statistical homogenization in granular materials using a micro-scale
  • Chapter 2: Definition of a Meso-scale for Granular Materials
  • 2.1. Brief presentation of the Discrete Element Method
  • 2.2. Description of the four numerical granular samples
  • 2.3. Meso-scale for 2D granular media
  • 2.4. Some proposals for extension to 3D granular media
  • Chapter 3: Texture, Stress and Strain at the Meso-scale
  • 3.1. Description of the internal state at the meso-scale
  • 3.2. Definition of strain at the meso-scale
  • 3.3. Definition of stress at the meso-scale
  • Chapter 4: Texture-Stress-Strain Relationship at the Meso-scale
  • 4.1. Evolution of internal state
  • 4.2. Strain-texture relationship
  • 4.3. Stress-texture relationship
  • 4.4. Mechanical behavior of the granular material at the meso-scale
  • 4.5. Relevance of the meso-variables and of the meso-macro change of scale
  • Chapter 5: Change of Scale Based on Phenomenological Modeling at the Meso-scale
  • 5.1. Phenomenological modeling of the mechanical behavior of phases
  • 5.2. Analysis of the generality of the parameters defined for phases
  • 5.3. Forecast of the mechanical behavior of the phases on a new loading path
  • 5.4. Change of scale: from the mesoscopic phases to the macroscopic sample
  • Conclusions and Prospects
  • Appendices
  • Appendix 1: The Simplified Elastic Plastic CJS Model for 2D Materials
  • Appendix 2: Calibration of the Model Parameters
  • Bibliography
  • Index
  • Back Cover

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