Desiccation cracks and their patterns: formation and modelling in science and nature
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH Verlag GmbH & Co. KGaA
[2015]
|
| Schriftenreihe: | Statistical physics of fracture and breakdown
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XVII, 349 Seiten Illustrationen, Diagramme |
| ISBN: | 9783527412136 9783527671922 |
Internformat
MARC
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| 100 | 1 | |a Goehring, Lucas |e Verfasser |0 (DE-588)1080796819 |4 aut | |
| 245 | 1 | 0 | |a Desiccation cracks and their patterns |b formation and modelling in science and nature |c Lucas Goehring, Akio Nakahara, Tapati Dutta, So Kitsunezaki and Sujata Tarafdar |
| 264 | 1 | |a Weinheim |b Wiley-VCH Verlag GmbH & Co. KGaA |c [2015] | |
| 264 | 4 | |c © 2015 | |
| 300 | |a XVII, 349 Seiten |b Illustrationen, Diagramme | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Statistical physics of fracture and breakdown | |
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| 700 | 1 | |a Kitsunezaki, So |e Verfasser |4 aut | |
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Datensatz im Suchindex
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| adam_text |
CONTENTS
PREFACE XI
LIST OF SYMBOLS XIII
1 INTRODUCTION 1
1.1 WHY STUDY DRYING MUD? 2
1.2 OBJECTIVES AND ORGANIZATION OF THE BOOK 4
1.3 APPROACH AND SCOPE
6
REFERENCES 7
2 ELASTICITY 9
2.1 ON SPRINGS 9
2.2 DEFORMATION, DISPLACEMENT AND STRAIN 11
2.3 TRANSFORMATIONS OF STRAINS, PRINCIPAL STRAINS AND VOLUMETRIC
STRAIN 15
2.4 STRESS 17
2.5 THERMODYNAMICS AND THE WORK OF DEFORMATION 21
2.6 LINEAR ELASTICITY 23
2.7 DIFFERENT FORMULATIONS OF LINEAR ELASTICITY 26
2.8 PLANE ELASTICITY 29
2.8.1 PLANE STRAIN AND PLANE STRESS 29
2.8.2 AIRY STRESS FUNCTION 31
2.9 SUMMARY 32
2.10 FURTHER READING 33
REFERENCES 33
3 FRACTURE MECHANICS 35
3.1 GRIFFITH AND FRACTURE ENERGY 35
3.2 STRESS CONCENTRATION 40
3.3 STRESS INTENSITY FACTORS 41
3.4 FRACTURE TOUGHNESS AND THE RELATIONSHIP BETWEEN AC AND G 44
3.5 SUMMARY OF THE CRITICAL CONDITIONS FOR FRACTURE 46
HTTP://D-NB.INFO/1059940213
VI
CONTENTS
3.6 AN EXAMPLE: THIN-FILM FRACTURE 47
3.7 NONLINEAR AND DISSIPATIVE EFFECTS OF FRACTURE 53
3.7.1 A PLASTIC ZONE MODEL OF FRACTURE 54
3.7.2 A MESOSCOPIC VIEW - THE PATH-INDEPENDENT /-INTEGRAL 56
3.7.3 DYNAMIC ELASTICITY AND DYNAMIC FRACTURE 58
3.8 CRACK PATH SELECTION 60
3.9 SUMMARY AND FURTHER READING 64
REFERENCES 65
4 POROELASTICITY 69
4.1 PRESSURE AND STRESS IN A TWO-COMPONENT SYSTEM 70
4.1.1 FICK'S LAWS 73
4.1.2 DARCY'S LAW 74
4.1.3 NETWORK AND TOTAL STRESS 74
4.2 LINEAR POROELASTICITY 75
4.2.1 POROELASTIC ENERGY DENSITY 77
4.2.2 POROELASTIC CONSTITUTIVE RELATIONS 78
4.2.3 DIFFERENT FORMULATIONS OF POROELASTICITY 82
4.3 RELATIONSHIP BETWEEN POROELASTICITY AND THERMOELASTICITY 84
4.4 WORKED EXAMPLES OF POROELASTIC DEFORMATION
86
4.5 POROELASTICITY AND A DRIVING FORCE FOR FRACTURE
88
4.6 SUMMARY AND FURTHER READING 92
REFERENCES 94
5 COLLOIDS AND CLAYS 97
5.1 DLVO THEORY 98
5.1.1 VAN DER WAALS POTENTIAL 98
5.1.2 ELECTROSTATIC POTENTIAL 101
5.1.3 DLVO THEORY AND ITS LIMITATIONS 106
5.2 CLAYS 110
5.3 SUMMARY AND FURTHER READING 114
REFERENCES 115
6 DESICCATION 117
6.1 SURFACE TENSION AND CAPILLARY PRESSURE 118
6.1.1 CONTACT LINES AND CAPILLARY RISE 120
6.2 SOLIDIFICATION THROUGH EVAPORATION 122
6.2.1 SKIN FORMATION 122
6.2.2 CRYSTALS AND CAGES 124
6.2.3 AGGREGATION 126
6.3 PORE-SCALE PROCESSES 128
6.3.1 STRUCTURE OF A DRYING SOIL 130
6.3.2 DYNAMICS OF A DRYING SOIL 131
6.4 CONTINUUM MODELS OF DRYING 135
6.4.1 SURFACE DRYING 135
CONTENTS I VII
6.4.2 INTERNAL TRANSPORT: CARMAN-KOZENY 139
6.5 FURTHER READING 140
REFERENCES 141
7 PATTERNS OF CRACK NETWORKS IN HOMOGENEOUS MEDIA 145
7.1 INTRODUCTION 145
7.2 EXPERIMENTAL OBSERVATIONS 146
7.2.1 SEQUENTIAL FRAGMENTATION AND LENGTH SCALE SELECTION 148
7.2.2 SCALING OF CRACK WIDTH 152
7.2.3 DISTRIBUTION OF ANGLES BETWEEN CRACKS 153
7.3 DIRECTIONAL DRYING 154
7.4 CHARACTERIZING THE CRACK PATTERN: 2D VIEW 155
7.4.1 SCALE INVARIANCE IN CRACK PATTERNS:-SELF-SIMILAR AND SELF-AFFINE
STRUCTURES 155
7.4.1.1 SCALE INVARIANT CRACK WIDTH DISTRIBUTION 156
7.4.1.2 FRACTAL DIMENSION OF THE CRACK EDGE 157
7.4.1.3 SELF-AFFINITY OF THE FRACTURE SURFACE 158
7.4.1.4 FRACTAL FRACTURE MECHANICS 160
7.4.2 TOPOLOGY AND CONNECTIVITY OF THE CRACK NETWORK 161
7.4.2.1 MINKOWSKI NUMBERS AND DENSITIES 165
7A.2.2 NETWORK THEORY APPROACH: MAPPING ONTO AN EQUIVALENT
NETWORK 167
7.4.3 PERCOLATION 169
7.5 INSTABILITIES: SPIRALS AND WAVY CRACKS, EN ECHELON/EN PASSANT
CRACKS, STAR CRACKS, AND WING CRACKS 173
7.5.1 EN ECHELON CRACKS 174
7.5.2 EN PASSANT CRACKS 174
7.5.3 SPIRAL CRACKS 175
7.5.4 WAVY CRACKS 177
7.5.5 STAR BURSTS AND MORE PATTERNS 178
7.6 CRACK DYNAMICS AND BRANCHING CRACKS 179
7.7 TRANSITION BETWEEN DIFFERENT MODES OF INSTABILITY AND
FRACTURE 182
7.7.1 DENDRITE TO FRACTURE 182
7.7.2 VISCOUS FINGERING TO FRACTURE 184
7.7.3 INVASION PERCOLATION TO FRACTURE 185
7.8 TOWARDS THREE DIMENSIONS: GEOLOGICAL FORMATIONS, DRYING SOIL
AND PEELING 188
7.8.1 OBREIMOFPS EXPERIMENT 188
7.8.2 NATURAL MUD CRACKS IN QUASI-2D 189
7.9 SIMULATION OF QUASI-2D PATTERNS 190
7.9.1 2D MODELLING OF FRACTURE: THE FIBRE BUNDLE MODEL 191
7.9.2 RANDOM FUSE MODEL 192
7.9.3 SPRING NETWORK MODEL 192
7.9.4 OTHER MODELS 196
VIII
CONTENTS
7.10 SUMMARY 197
7.11 FURTHER READING 197
REFERENCES 198
8 THE EFFECTS OF PLASTICITY ON CRACK FORMATION 207
8.1 INTRODUCTION TO RHEOLOGY 207
8.1.1 ELASTIC MATERIAL AND FLUID 208
8.1.2 LINEAR VISCOELASTICITY 211
8.1.3 BINGHAM MODEL 214
8.2 ELASTOPLASTICITY FOR SLOW DEFORMATION PROCESSES 216
8.2.1 DECOMPOSITION OF ELASTIC AND PLASTIC DEFORMATION 216
8.2.2 THERMODYNAMICS OF ELASTOPLASTICITY 218
8.2.3 YIELD CONDITIONS AND THE NORMALITY LAW 219
8.2.4 YIELD CONDITIONS OF PASTE-LIKE MATERIALS 222
8.3 CRACK PROPAGATION IN A LAYER OF WET PASTE 223
8.3.1 -PLUMOSE STRUCTURE M CRACK SURFACES 223
8.3.2 MICROSCOPIC OBSERVATION OF PLASTIC DEFORMATION 224
8.3.3 MEASUREMENTS OF THE SPEED OF CRACK GROWTH IN A UNIFORM PASTE
LAYER 227
8.4 THEORETICAL APPROACHES FOR CRACK VELOCITIES 230
8.4.1 VISCOELASTIC EFFECT ON CRACK PROPAGATION: ID LATTICE MODEL OF
RHEOLOGICAL ELEMENTS 231
8.4.2 COMPETITION OF GLOBAL PLASTIC RELAXATION AND
CRACK GROWTH 233
8.5 MEMORY EFFECT OF PASTE DUE TO ITS PLASTICITY 238
8.5.1 MEMORY OF VIBRATION AND ITS VISUALIZATION AS DESICCATION CRACK
PATTERN 239
8.5.1.1 MEMORY OF VIBRATION AND LAMELLAR CRACK PATTERN 239
8.5.1.2 PLASTICITY OF PASTE 241
8.5.1.3 CONDITION FOR THE MEMORY EFFECT OF VIBRATION: EXPERIMENTAL
RESULTS 243
8.5.2 RESIDUAL TENSION THEORY TO EXPLAIN MEMORY EFFECT OF
VIBRATION 244
8.5.2.1 QUASI-LINEAR ANALYSIS 245
8.5.2.2 GOVERNING EQUATIONS FOR NON-LINEAR ANALYSIS 249
8.5.2.3 NON-LINEAR ANALYSIS 251
8.5.2.4 CONDITION FOR THE MEMORY EFFECT OF VIBRATION: THEORETICAL
EXPLANATION 253
8.5.3 POSITION CONTROL OF CRACKS BY MEMORY EFFECT AND FARADAY
WAVES 254
8.5.4 MEMORY OF FLOW AND A ROLE OF INTERACTION BETWEEN COLLOIDAL
PARTICLES 258
FURTHER READING 262
REFERENCES 263
CONTENTS IX
9 SPECIAL TOPICS 267
9.1 TAILORING CRACK PATTERNS 267
9.1.1 EFFECT OF ELECTRIC FIELDS ON DESICCATION CRACKS 268
9.1.1.1 EFFECTS OF A DIRECT FIELD (DC) 268
9.1.1.2 EFFECT OF AN ALTERNATING FIELD (AC) 270
9.1.1.3 DC FIELD EFFECT IN DRYING DROPLETS 271
9.1.2 EFFECT OF A MAGNETIC FIELD ON DESICCATION CRACKS 274
9.1.3 PATTERNING CRACKS THROUGH MICRO-TECHNOLOGY 276
9.2 DESIGNING CRACK-RESISTANT MATERIALS AND COMPOSITES 279
9.2.1 COMPOSITES OF SOFT AND HARD PARTICLES 284
9.2.1.1 EMPLOYING HETEROGENEOUS MATERIAL 285
9.2.2 CRACK REDUCTION WITH 'LIQUID PARTICLES' 288
9.3 CRACK PATTERNS IN DRYING DROPLETS OF BIOFLUIDS 290
9.3.1 HUMAN BLOOD DROPLETS AND DRYING DYNAMICS 291
9.3.2 EFFECT OF RELATIVE HUMIDITY ON DRYING DROPLETS 295
9.3.3 SUBSTRATE EFFECT ON DRYING DROPLETS OF BLOOD 296
9.4 EVOLVING CRACK NETWORKS 297
9.4.1 COLUMNAR JOINTS 298
9.4.2 EVOLVING MUD CRACKS 304
9.4.3 OTHER CRACK PATTERNS 308
9.5 FURTHER READING 310
REFERENCES 311
APPENDIX A: A PRIMER ON VECTORS AND TENSORS 317
A.L TENSOR NOTATION 317
A.2 TENSOR MULTIPLICATION 319
A.3 TENSOR TRANSFORMATIONS 321
A.4 TENSOR DIFFERENTIATION 323
APPENDIX B: FRACTALS: SELF-SIMILAR AND SELF-AFFINE SYSTEMS 327
B.L SELF-SIMILARITY AND FRACTAL DIMENSION 327
B.2 SELF-AFFINE SYSTEMS 331
B.3 FURTHER READING 332
REFERENCES 333
APPENDIX C: FORMULATION OF ELASTOPLASTICITY BASED ON DISSIPATION
FUNCTIONS 335
REFERENCES 336
APPENDIX D: STEADY PROPAGATING SOLUTION OF LANGER MODEL 337
APPENDIX E: STRESS EXPRESSION IN FINITE DEFORMATION THEORY 339
REFERENCES 341
INDEX 343 |
| any_adam_object | 1 |
| author | Goehring, Lucas Nakahara, Akio Dutta, Tapati Kitsunezaki, So Tarafdar, Sujata |
| author_GND | (DE-588)1080796819 |
| author_facet | Goehring, Lucas Nakahara, Akio Dutta, Tapati Kitsunezaki, So Tarafdar, Sujata |
| author_role | aut aut aut aut aut |
| author_sort | Goehring, Lucas |
| author_variant | l g lg a n an t d td s k sk s t st |
| building | Verbundindex |
| bvnumber | BV042563999 |
| classification_rvk | UF 3000 UF 3150 UQ 8025 |
| ctrlnum | (OCoLC)894691667 (DE-599)DNB1059940213 |
| dewey-full | 530 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530 |
| dewey-search | 530 |
| dewey-sort | 3530 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV042563999 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T02:23:12Z |
| institution | BVB |
| isbn | 9783527412136 9783527671922 |
| language | English |
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| owner_facet | DE-11 DE-703 |
| physical | XVII, 349 Seiten Illustrationen, Diagramme |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Wiley-VCH Verlag GmbH & Co. KGaA |
| record_format | marc |
| series2 | Statistical physics of fracture and breakdown |
| spelling | Goehring, Lucas Verfasser (DE-588)1080796819 aut Desiccation cracks and their patterns formation and modelling in science and nature Lucas Goehring, Akio Nakahara, Tapati Dutta, So Kitsunezaki and Sujata Tarafdar Weinheim Wiley-VCH Verlag GmbH & Co. KGaA [2015] © 2015 XVII, 349 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Statistical physics of fracture and breakdown Austrocknung (DE-588)4485046-3 gnd rswk-swf Rissverlauf (DE-588)4282521-0 gnd rswk-swf Rissbildung (DE-588)4050137-1 gnd rswk-swf Rissbildung (DE-588)4050137-1 s Austrocknung (DE-588)4485046-3 s Rissverlauf (DE-588)4282521-0 s DE-604 Nakahara, Akio Verfasser aut Dutta, Tapati Verfasser aut Kitsunezaki, So Verfasser aut Tarafdar, Sujata Verfasser aut Erscheint auch als Online-Ausgabe, EPUB 978-3-527-67194-6 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-67193-9 Erscheint auch als Online-Ausgabe, PDF 978-3-527-67195-3 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4809101&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027997653&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goehring, Lucas Nakahara, Akio Dutta, Tapati Kitsunezaki, So Tarafdar, Sujata Desiccation cracks and their patterns formation and modelling in science and nature Austrocknung (DE-588)4485046-3 gnd Rissverlauf (DE-588)4282521-0 gnd Rissbildung (DE-588)4050137-1 gnd |
| subject_GND | (DE-588)4485046-3 (DE-588)4282521-0 (DE-588)4050137-1 |
| title | Desiccation cracks and their patterns formation and modelling in science and nature |
| title_auth | Desiccation cracks and their patterns formation and modelling in science and nature |
| title_exact_search | Desiccation cracks and their patterns formation and modelling in science and nature |
| title_full | Desiccation cracks and their patterns formation and modelling in science and nature Lucas Goehring, Akio Nakahara, Tapati Dutta, So Kitsunezaki and Sujata Tarafdar |
| title_fullStr | Desiccation cracks and their patterns formation and modelling in science and nature Lucas Goehring, Akio Nakahara, Tapati Dutta, So Kitsunezaki and Sujata Tarafdar |
| title_full_unstemmed | Desiccation cracks and their patterns formation and modelling in science and nature Lucas Goehring, Akio Nakahara, Tapati Dutta, So Kitsunezaki and Sujata Tarafdar |
| title_short | Desiccation cracks and their patterns |
| title_sort | desiccation cracks and their patterns formation and modelling in science and nature |
| title_sub | formation and modelling in science and nature |
| topic | Austrocknung (DE-588)4485046-3 gnd Rissverlauf (DE-588)4282521-0 gnd Rissbildung (DE-588)4050137-1 gnd |
| topic_facet | Austrocknung Rissverlauf Rissbildung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4809101&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027997653&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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