Granular physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2007
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 305 S. Ill., graph. Darst. |
| ISBN: | 9780521660785 0521660785 |
Internformat
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| 100 | 1 | |a Mehta, Anita |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Granular physics |c Anita Mehta |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2007 | |
| 300 | |a XII, 305 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Granular materials | |
| 650 | 4 | |a Granular materials |x Fluid dynamics | |
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Datensatz im Suchindex
| _version_ | 1804136596917714944 |
|---|---|
| adam_text | Contents
Preface pagex
1 Introduction 1
1.1 Statistical mechanics framework, packing and the role of friction 2
1.2 Granular flow through wedges, channels and apertures 4
1.3 Instabilities, convection and pattern formation in vibrated
granular beds 5
1.4 Size segregation in vibrated powders 8
1.5 Self organised criticality theoretical sandpiles? 11
1.6 Cellular automaton models of sandpiles 13
1.7 Theoretical studies of sandpile surfaces 15
2 Computer simulation approaches an overview 18
2.1 Granular structures Monte Carlo approaches 18
2.2 Granular flow — molecular dynamics approaches 22
2.3 Simulations of shaken sand some general remarks 24
3 Structure of vibrated powders numerical results 27
3.1 Details of simulation algorithm 27
3.2 The structure of shaken sand some simulation results 29
3.3 Vibrated powders: transient response 40
3.4 Is there spontaneous crystallisation in granular media? 44
3.5 Some results on shaking induced size segregation 46
4 Collective structures in sand the phenomenon of bridging 52
4.1 Introduction 52
4.2 On bridges in sandpiles an overarching scenario 52
4.3 Some technical details 54
4.4 Bridge sizes and diameters: when does a bridge span a hole? 55
4.5 Turning over at the top; how linear bridges form domes 58
4.6 Discussion 61
vii
viii Contents
5 On angles of repose: bistability and collapse 63
5.1 Coupled nonlinear equations: dilatancy vs the angle of repose 63
5.2 Bistability within 89%: how dilatancy fattens the angle of repose 65
5.3 When sandpiles collapse: rare events, activated processes
and the topology of rough landscapes 67
5.4 Discussion 69
5.5 Another take on bistability 69
6 Compaction of disordered grains in the jamming limit: sand on
random graphs 79
6.1 The three spin model: frustration, metastability and slow dynamics 81
6.2 How to tap the spins? dilation and quench phases 82
6.3 Results I: the compaction curve 84
6.4 Results II: realistic amplitude cycling how granular
media jam at densities lower than close packed 90
6.5 Discussion 93
7 Shaking a box of sand I a simple lattice model 94
7.1 Introduction 94
7.2 Definition of the model 94
7.3 Results I: on the packing fraction 96
7.4 Results II: on annealed cooling, and the onset of jamming 97
7.5 Results III: when the sandbox is frozen 100
7.6 Results IV: two nonequilibrium regimes 102
7.7 Discussion 103
8 Shaking a box of sand II at the jamming limit, when shape matters! 104
8.1 Definition of the model 105
8.2 Zero temperature dynamics: (ir)retrievability of ground
states, density fluctuations and anticorrelations 106
8.3 Rugged entropic landscapes: Edwards or not? 108
8.4 Low temperature dynamics along the column: intermittency 113
8.5 Discussion 114
9 Avalanches with reorganising grains 115
9.1 Avalanches type I SOC 115
9.2 Avalanches type II granular avalanches 118
9.3 Discussion and conclusions 131
10 From earthquakes to sandpiles stick slip motion 132
10.1 Avalanches in a rotating cylinder 132
10.2 The model 133
10.3 Results 135
10.4 Discussion 146
Contents ix
11 Coupled continuum equations: the dynamics of sandpile surfaces 148
11.1 Introduction 148
11.2 Review of scaling relations for interfacial roughening 150
11.3 Case A: the Edwards Wilkinson equation with flow 151
11.4 Case B: when moving grains abound 156
11.5 Case C: tilt combined with flowing grains 162
11.6 Discussion 167
11.7 A more complicated example: the formation of ripples 168
11.8 Conclusions 174
12 Theory of rapid granular flows Isaac Goldhirsch 176
12.1 Introduction 176
12.2 Qualitative considerations 177
12.3 Kinetic theory 184
12.4 Boundary conditions 196
12.5 Weakly frictional granular gases 200
12.6 Conclusion 206
13 The thermodynamics of granular materials Sir Sam Edwards and
Raphael Blumenfeld 209
13.1 Introduction 209
13.2 Statistical mechanics 211
13.3 Volume functions and forces in granular systems 216
13.4 The stress field 224
13.5 Force distribution 232
14 Static properties of granular materials Philippe Claudin 233
14.1 Statics at the grain scale 233
14.2 Large scale properties 245
14.3 Conclusion 273
References 274
Index 297
The colour plate section is situated between pages 62 63
|
| adam_txt |
Contents
Preface pagex
1 Introduction 1
1.1 Statistical mechanics framework, packing and the role of friction 2
1.2 Granular flow through wedges, channels and apertures 4
1.3 Instabilities, convection and pattern formation in vibrated
granular beds 5
1.4 Size segregation in vibrated powders 8
1.5 Self organised criticality theoretical sandpiles? 11
1.6 Cellular automaton models of sandpiles 13
1.7 Theoretical studies of sandpile surfaces 15
2 Computer simulation approaches an overview 18
2.1 Granular structures Monte Carlo approaches 18
2.2 Granular flow — molecular dynamics approaches 22
2.3 Simulations of shaken sand some general remarks 24
3 Structure of vibrated powders numerical results 27
3.1 Details of simulation algorithm 27
3.2 The structure of shaken sand some simulation results 29
3.3 Vibrated powders: transient response 40
3.4 Is there spontaneous crystallisation in granular media? 44
3.5 Some results on shaking induced size segregation 46
4 Collective structures in sand the phenomenon of bridging 52
4.1 Introduction 52
4.2 On bridges in sandpiles an overarching scenario 52
4.3 Some technical details 54
4.4 Bridge sizes and diameters: when does a bridge span a hole? 55
4.5 Turning over at the top; how linear bridges form domes 58
4.6 Discussion 61
vii
viii Contents
5 On angles of repose: bistability and collapse 63
5.1 Coupled nonlinear equations: dilatancy vs the angle of repose 63
5.2 Bistability within 89%: how dilatancy 'fattens' the angle of repose 65
5.3 When sandpiles collapse: rare events, activated processes
and the topology of rough landscapes 67
5.4 Discussion 69
5.5 Another take on bistability 69
6 Compaction of disordered grains in the jamming limit: sand on
random graphs 79
6.1 The three spin model: frustration, metastability and slow dynamics 81
6.2 How to tap the spins? dilation and quench phases 82
6.3 Results I: the compaction curve 84
6.4 Results II: realistic amplitude cycling how granular
media jam at densities lower than close packed 90
6.5 Discussion 93
7 Shaking a box of sand I a simple lattice model 94
7.1 Introduction 94
7.2 Definition of the model 94
7.3 Results I: on the packing fraction 96
7.4 Results II: on annealed cooling, and the onset of jamming 97
7.5 Results III: when the sandbox is frozen 100
7.6 Results IV: two nonequilibrium regimes 102
7.7 Discussion 103
8 Shaking a box of sand II at the jamming limit, when shape matters! 104
8.1 Definition of the model 105
8.2 Zero temperature dynamics: (ir)retrievability of ground
states, density fluctuations and anticorrelations 106
8.3 Rugged entropic landscapes: Edwards' or not? 108
8.4 Low temperature dynamics along the column: intermittency 113
8.5 Discussion 114
9 Avalanches with reorganising grains 115
9.1 Avalanches type I SOC 115
9.2 Avalanches type II granular avalanches 118
9.3 Discussion and conclusions 131
10 From earthquakes to sandpiles stick slip motion 132
10.1 Avalanches in a rotating cylinder 132
10.2 The model 133
10.3 Results 135
10.4 Discussion 146
Contents ix
11 Coupled continuum equations: the dynamics of sandpile surfaces 148
11.1 Introduction 148
11.2 Review of scaling relations for interfacial roughening 150
11.3 Case A: the Edwards Wilkinson equation with flow 151
11.4 Case B: when moving grains abound 156
11.5 Case C: tilt combined with flowing grains 162
11.6 Discussion 167
11.7 A more complicated example: the formation of ripples 168
11.8 Conclusions 174
12 Theory of rapid granular flows Isaac Goldhirsch 176
12.1 Introduction 176
12.2 Qualitative considerations 177
12.3 Kinetic theory 184
12.4 Boundary conditions 196
12.5 Weakly frictional granular gases 200
12.6 Conclusion 206
13 The thermodynamics of granular materials Sir Sam Edwards and
Raphael Blumenfeld 209
13.1 Introduction 209
13.2 Statistical mechanics 211
13.3 Volume functions and forces in granular systems 216
13.4 The stress field 224
13.5 Force distribution 232
14 Static properties of granular materials Philippe Claudin 233
14.1 Statics at the grain scale 233
14.2 Large scale properties 245
14.3 Conclusion 273
References 274
Index 297
The colour plate section is situated between pages 62 63 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:54:39Z |
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| institution | BVB |
| isbn | 9780521660785 0521660785 |
| language | English |
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| spelling | Mehta, Anita Verfasser aut Granular physics Anita Mehta 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2007 XII, 305 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Granular materials Granular materials Fluid dynamics Physik (DE-588)4045956-1 gnd rswk-swf Granulärer Stoff (DE-588)4256351-3 gnd rswk-swf Granulärer Stoff (DE-588)4256351-3 s Physik (DE-588)4045956-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015705850&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mehta, Anita Granular physics Granular materials Granular materials Fluid dynamics Physik (DE-588)4045956-1 gnd Granulärer Stoff (DE-588)4256351-3 gnd |
| subject_GND | (DE-588)4045956-1 (DE-588)4256351-3 |
| title | Granular physics |
| title_auth | Granular physics |
| title_exact_search | Granular physics |
| title_exact_search_txtP | Granular physics |
| title_full | Granular physics Anita Mehta |
| title_fullStr | Granular physics Anita Mehta |
| title_full_unstemmed | Granular physics Anita Mehta |
| title_short | Granular physics |
| title_sort | granular physics |
| topic | Granular materials Granular materials Fluid dynamics Physik (DE-588)4045956-1 gnd Granulärer Stoff (DE-588)4256351-3 gnd |
| topic_facet | Granular materials Granular materials Fluid dynamics Physik Granulärer Stoff |
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