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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Bernard Cambou is the editor of Micromechanics of Granular Materials, published by Wiley. Michel Jean is the editor of Micromechanics of Granular Materials, published by Wiley. Farhang Radjaï, Directeur de Recherche (research director) at the CNRS (French National Center for Scientific Research).
Inhaltsangabe
Introduction xiii Chapter 1. Experimental and Numerical Analysis of Local Variables in Granular Materials 1 Farhang RADJAÏ and Jack LANIER 1.1. Introduction 1 1.2. Description of granular texture 3 1.3. Granular kinematics 20 1.4. Force transmission 31 1.5. Conclusion 44 1.6. Bibliography 45 Chapter 2. The Stress Tensor in Granular Media and in other Mechanical Collections 51 Jean-Jacques MOREAU 2.1. Introduction 51 2.2. Efforts and virtual power 59 2.3. Equilibrium 65 2.4. Comparison with the pair-by-pair approach 76 2.5. Directions of cut 83 2.6. Coarse graining the equation of Statics 90 2.7. One step into Dynamics 91 2.8. Bibliography 97 Chapter 3. Multiscale Techniques for Granular Materials 101 Bernard CAMBOU, Alexandre DANESCU 3.1. Introduction 101 3.2. Scale change andfabric tensors 102 3.3. Change of scale for static variables . 112 3.4. Change of scale for kinematic variables in granular materials 115 3.5. Statistical homogenization in granular materials 131 3.6. Bibliography 145 Chapter 4. Numerical Simulation of Granular Materials 149 Michel JEAN 4.1. Introduction 149 4.2. The actors of a contact problem 152 4.3. Kinematic relations 167 4.4. The dynamical equation 174 4.5. Frictional contact laws 179 4.6. The equations governing a collection of contacting bodies 196 4.7. Preparing numerical samples 198 4.8. Smooth DEM numerical methods 206 4.9. Non-smooth DEM numerical methods 216 4.10. Some illustrating examples 227 4.11. Quasi-static evolutions, equilibrium dedicated methods 234 4.12. Accuracy criteria 241 4.13. Indetermination in granular materials 246 4.14. Stability 265 4.15. Numerical integration schemes 275 4.16. More non-smooth DEM methods 284 4.17. Signorini ¿-Coulomb derived laws 292 4.18. Conclusion 301 4.19. Appendix: basic convex analysis 303 4.20. Bibliography 307 Chapter 5. Frictionless Unilateral Multibody Dynamics 317 Patrick BALLARD 5.1. Introduction 317 5.2. The dynamics of rigid body systems 318 5.3. The dynamics of rigid body systems with perfect bilateral constraints 322 5.4. The dynamics of rigid body systems with perfect unilateral constraints 326 5.5. Bibliography 340 List of Authors 343 Index 345
Introduction xiii Chapter 1. Experimental and Numerical Analysis of Local Variables in Granular Materials 1 Farhang RADJAÏ and Jack LANIER 1.1. Introduction 1 1.2. Description of granular texture 3 1.3. Granular kinematics 20 1.4. Force transmission 31 1.5. Conclusion 44 1.6. Bibliography 45 Chapter 2. The Stress Tensor in Granular Media and in other Mechanical Collections 51 Jean-Jacques MOREAU 2.1. Introduction 51 2.2. Efforts and virtual power 59 2.3. Equilibrium 65 2.4. Comparison with the pair-by-pair approach 76 2.5. Directions of cut 83 2.6. Coarse graining the equation of Statics 90 2.7. One step into Dynamics 91 2.8. Bibliography 97 Chapter 3. Multiscale Techniques for Granular Materials 101 Bernard CAMBOU, Alexandre DANESCU 3.1. Introduction 101 3.2. Scale change andfabric tensors 102 3.3. Change of scale for static variables . 112 3.4. Change of scale for kinematic variables in granular materials 115 3.5. Statistical homogenization in granular materials 131 3.6. Bibliography 145 Chapter 4. Numerical Simulation of Granular Materials 149 Michel JEAN 4.1. Introduction 149 4.2. The actors of a contact problem 152 4.3. Kinematic relations 167 4.4. The dynamical equation 174 4.5. Frictional contact laws 179 4.6. The equations governing a collection of contacting bodies 196 4.7. Preparing numerical samples 198 4.8. Smooth DEM numerical methods 206 4.9. Non-smooth DEM numerical methods 216 4.10. Some illustrating examples 227 4.11. Quasi-static evolutions, equilibrium dedicated methods 234 4.12. Accuracy criteria 241 4.13. Indetermination in granular materials 246 4.14. Stability 265 4.15. Numerical integration schemes 275 4.16. More non-smooth DEM methods 284 4.17. Signorini ¿-Coulomb derived laws 292 4.18. Conclusion 301 4.19. Appendix: basic convex analysis 303 4.20. Bibliography 307 Chapter 5. Frictionless Unilateral Multibody Dynamics 317 Patrick BALLARD 5.1. Introduction 317 5.2. The dynamics of rigid body systems 318 5.3. The dynamics of rigid body systems with perfect bilateral constraints 322 5.4. The dynamics of rigid body systems with perfect unilateral constraints 326 5.5. Bibliography 340 List of Authors 343 Index 345
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