Micromechanics of granular materials / / edited by Bernard Cambou, Michel Jean, Farhang Radjai

• Pubblicazione: London, : ISTE; Hoboken, NJ, : John Wiley, 2009
• Descrizione fisica: 1 online resource (364 p.)
• Disciplina: 620/.43
• Soggetto topico: Granular materials - Mechanical properties; Granular materials - Microstructure; Particles
• Altri autori: CambouBernard JeanMichel RadjaiFarhang
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Micromechanics of Granular Materials; Contents; Introduction; Chapter 1. Experimental and Numerical Analysis of Local Variables in Granular Materials; 1.1. Introduction; 1.2. Description of granular texture; 1.2.1. Particle connectivity; 1.2.2. Contact network anisotropy: fabric tensors; 1.2.2.1. General case; 1.2.2.2. Case of 2D data; 1.2.2.3. Case of 3D data; 1.2.3. Branch vectors; 1.2.4. Evolution of granular texture; 1.2.5. Space partition: tessellation; 1.2.5.1. Voronoi cells; 1.2.5.2. Dirichlet cells; 1.2.5.3. General case; 1.2.5.4. Neighborhoods and local void ratios ; 1.3. Granular kinematics1.3.1. Particle displacements and rotations; 1.3.2. Rolling versus sliding; 1.3.3. Fluctuating displacement fields; 1.3.3.1. Uniform strain and fluctuations; 1.3.3.2. Probability densities; 1.3.3.3. Spatial correlations; 1.3.3.4. Granulence; 1.3.4. Local and global strains; 1.3.4.1. Particle-scale strain; 1.3.4.2. Strain localization; 1.4. Force transmission; 1.4.1. Probability density functions; 1.4.2. Bimodal character of stress transmission; 1.4.3. Force anisotropy; 1.5. Conclusion; 1.6. Bibliography ; Chapter 2. The Stress Tensor in Granular Media and in other Mechanical Collections2.1. Introduction; 2.1.1. Motivation; 2.1.2. The theoretical background; 2.1.3. Dynamics; 2.1.4. Pertinence; 2.2. Efforts and virtual power; 2.2.1. Resultant and moment of an effort; 2.2.2. Internal efforts; 2.2.3. Forces; 2.2.4. Efforts of order greater than zero; 2.2.5. Contact actions; 2.3. Equilibrium; 2.3.1. Main equalities; 2.3.1.1. Case of a continuous body; 2.3.1.2. Case of a granular material; 2.3.2. Classical continuous body; 2.3.3. Piece of string; 2.3.4. Finite collection of points ; 2.3.5. Interaction bridges2.3.6. Saturated soil; 2.4. Comparison with the pair-by-pair approach; 2.4.1. The classical definition; 2.4.1.1. The pair-by-pair calculation; 2.4.2. Numerical discussion of a tri-axial test; 2.5. Directions of cut; 2.5.1. Force transmitted across a cut; 2.5.2. Proof of the cutting direction law; 2.5.3. 2D bank; 2.5.3.1. Free surface law; 2.5.4. Conical pile; 2.6. Coarse graining the equation of Statics; 2.6.1. The divergence operator; 2.7. One step into Dynamics; 2.7.1. Introducing the acceleration field; 2.7.2. Rigid bodies; 2.7.2.1. Introducing the mass center ; 2.7.2.2. Introducing principal axes2.7.2.3. Invoking rigid body dynamics; 2.7.2.4. Spherical inertia; 2.7.2.5. 2D models; 2.7.3. Percussions; 2.8. Bibliography; Chapter 3. Multiscale Techniques for Granular Materials; 3.1. Introduction; 3.2. Scale change and fabric tensors; 3.2.1. Solid particles description; 3.2.1.1. Size of particles; 3.2.1.2. Shape of particles; 3.2.2. Fabric description for a granular sample; 3.2.2.1. Coordination number and compactness; 3.2.2.2. Definition of the overall anisotropy of a sample; 3.2.3. Voids description; 3.3. Change of scale for static variables ; 3.4. Change of scale for kinematic variables in granular materials
• Sommario/riassunto: 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 sp
• Titolo autorizzato: Micromechanics of granular materials
• ISBN: 1-282-68790-5; 9786612687907; 0-470-61161-8; 0-470-39425-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910139623903321
• Lo trovi qui: Univ. Federico II
• Serie: ISTE