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Home > Science, Technology & Agriculture > Mechanical engineering and materials > Materials science > Mechanics of Granular Matter
Mechanics of Granular Matter

Mechanics of Granular Matter


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About the Book

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.

Table of Contents:
Contents Preface Chapter 1 Behaviors of granular materials Introduction; Static behaviors; Coulomb friction law; Janssen effect; Effective stress; Rowe stress - dilatancy relation; Dynamic behaviors; Granular flows; Faraday circulation; Reynolds' dilatancy; Clustering in granular gas; Force measurement and internal structure recognition; X-ray radiography; Photoelastic stress analysis; Granular physics; Granular solid hydrodynamics; Statistical mechanics; Granular gas Chapter 2 Contact mechanics of spherical particles Nonadhesive contact; Normal force (Hertz model); Tangential force (Mindlin-Deresiewicz model); Adhesive contact; Bradley model and DMT model; JKR model; Maugis - Dugdale model; Thornton model; From contact initiation to a critical peeling state; After the critical peeling state Chapter 3 Soft-sphere approach and hard-sphere approach Soft-sphere approach; Calculation of contact force; Spring stiffness; Damping coefficient; Hard-sphere approach; One-dimensional collision; Two- and three-dimensional collisions; Normal restitution coefficient; Tangential restitution coefficient; Comparisons Chapter 4 Liquid bridge forces Liquid distribution; Static liquid bridge force; Separation distance; Multiple liquid bridge force; Dynamic liquid bridge force; Normal force of Newtonian fluid; Normal force of power-law fluid; Tangential resistance of Newtonian fluid; Tangential force of power-law fluid Chapter 5 Discrete element method Contact searching; Rigid-sphere-based DEM; Soft-sphere-based DEM; Dynamic relaxation; Numerical scheme; Euler method; Verlet integration; System evolution; Time step; Large-scale parallel computing Chapter 6 Force chains Formation of force chain; Measurements of contact force; Photoelastic stress analysis; Carbon paper method; Electronic balance weighing method; Discrete element method; Bulk contact stress; Bulk friction; Bulk restitution coefficient; Bulk elasticity; Correlation of force network with mechanical properties; Multiscale mechanics strategy; Characteristic time scales; The macroscopic time scale tc; Three dimensionless numbers Chapter 7 Jamming and structure transformations Introduction; Frictionless soft sphere systems; Coordination number of an isostatic system; Elastics modulus; Vibrational density of states; Microscopic criterion for stability under compression; Pair-correlation function; Frictional soft sphere systems; Critical coordination number; Generalized isostaticity; Z phase diagram; Characteristic frequency of density of state and the modulus ratio G/K; Jamming of other disordered systems; Jamming of nonspherical particles; Jamming of foams under shear; Glass-like transition of rigid granular fluid; Structural transformation in a frictional system; Numerical simulations; Pair-correlation function g (r); Force - force correlation and position - position correlation; Unjamming process; Conclusions Chapter 8 Point loading response and shear band evolution Point loading transmission; Numerical experiment setup; Point loading transmission; Force network under uniaxial compression; Criteria of force chains; Lateral pressure coefficient; Shear bands; Macroscopic phenomena; Mesoscale analysis on shear bands; Force-chain structures; Energy transformations; Introduction; Simulation setup; Energy analysis; Elastic energy and critical sensitivity; Kinetic energy; Energy dissipation; Discussions; Outlook; Appendix A. Formulations of energies in granular systems; A.1 Elastic energy; A.2 Kinetic energy; A.3 Dissipated energy due to friction Chapter 9 Granular flows Coulomb friction; Bagnold number; Inertial number and contact stress; Flow regimes; Constant-volume granular flows; Constant-stress granular flows; Regime transition; Macrostress; Contact time number; Coordination number; Constitutive relations; Plane shear flow with zero gravity; Slope flow under gravity; Appendix A. Internal parameters of granular flows Chapter 10 Preliminary multiscale mechanics Macroscopic stress and strain; Macro - micro relations; Multiscale mechanics

About the Author :
Qicheng SUN is an Associate Professor in the Department of Hydraulic Engineering at Tsinghua University, Beijing, China. He is the author of numerous research papers on modeling and simulation of particles and sediment. Guangqian WANG is a professor in the Department of Hydraulic Engineering at Tsinghua University, Beijing, CHINA. The author of a number of research papers on the modelling and simulation of particles, sediment, and flows, he currently serves as a member of the Editorial Board of the Journal of Hydro- environment and holds three national awards for Science and Technology Progress. His research focuses on Hydraulics and River Dynamics, Soil Erosion and Sediment Transport in River Basins, and Hydro-informatics.


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Product Details
  • ISBN-13: 9781845646448
  • Publisher: WIT Press
  • Publisher Imprint: WIT Press
  • Height: 234 mm
  • Returnable: N
  • ISBN-10: 1845646444
  • Publisher Date: 16 Dec 2011
  • Binding: Hardback
  • Language: English
  • Width: 156 mm


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