Fundamentals of amorphous solids: structure and properties
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| Format: | Book |
| Language: | English |
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Weinheim
Wiley-VCH
2015
Beijing Higher Education Press |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 260 S. Ill., graph. Darst. |
| ISBN: | 3527337075 9783527337071 |
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| 245 | 1 | 0 | |a Fundamentals of amorphous solids |b structure and properties |c Zbigniew H. Stachurski |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2015 | |
| 264 | 1 | |a Beijing |b Higher Education Press | |
| 300 | |a XII, 260 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
PREFACE XI
1 SPHERES, CLUSTERS AND PACKING OF SPHERES 1
1.1 INTRODUCTION 1
1.2 GEOMETRY OF SPHERES 9
1.2.1 A SPHERE AND ITS NEIGHBOURS 9
1.2.2 NEIGHBOURS BY TOUCHING 10
1.2.3 HARD AND SOFT SPHERES 12
1.3 GEOMETRY OF CLUSTERS 15
1.3.1 REGULAR CLUSTERS IS
1.3.2 IRREGULAR CLUSTERS 17
1.3.3 COORDINATION OF (1 + K) CLUSTERS 18
1.3.3.1 BLOCKING MODEL FOR CLUSTER FORMATION 19
1.3.3.2 FIIRTH MODEL FOR CLUSTER FORMATION 22
1.3.4 CONFIGURATION OF (1 + K) CLUSTERS 25
1.3.4.1 REGULAR CLUSTERS 25
1.3.4.2 IRREGULAR CLUSTERS 26
1.3.4.3 CLOSING VECTOR BASED ON RADIAL VECTOR POLYGON 27
1.3.4.4 PHYSICAL MEANING OF THE CLOSING VECTOR, C 32
1.3.4.5 SPHERICAL HARMONICS 33
1.4 GEOMETRY OF SPHERE PACKINGS 34
1.4.1 FIXED AND LOOSE PACKINGS 36
1.4.2 ORDERED PACKING 36
1.4.3 DISORDERED PACKING 37
1.4.4 RANDOM PACKING 38
1.4.5 RANDOM SEQUENTIAL ADDITION OF HARD SPHERES 38
1.4.6 RANDOM CLOSED PACKING OF SPHERES 40
1.4.7 NEIGHBOURS BY VORONOI TESSELLATION 43
1.4.8 NEIGHBOURS BY COORDINATION SHELL 47
1.4.8.1 PAIR DISTRIBUTION FUNCTION 49
1.4.8.2 THE PROBABILITY OF CONTACTS SO
1.4.8.3 CONTACT CONFIGURATION FUNCTION 50
HTTP://D-NB.INFO/1050181360
VI CONTENTS
1.5 IDEAL AMORPHOUS AOLID (IAS) 51
1.6 CONSTRUCTION OF AN IDEAL AMORPHOUS SOLID CLASS I S3
1.7 ELEMENTARY THEORY OF AMORPHOUSNESS 59
1.7.1 BACKGROUND 59
1.7.2 THE AXIOMS 60
1.7.3 CONJECTURE 61
1.7.4 THE RULES 62
1.7.5 STATISTICAL CORRESPONDENCE 63
1.8 CLASSES OF IDEAL AMORPHOUS SOLIDS 64
1.8.1 IAS CLASS I: RANDOM CLOSE PACKING OF INDIVIDUAL ATOMS 64
1.8.2 IAS CLASS II: RANDOM CLOSE PACKING OF LINEAR MODEL CHAINS 64
1.8.3 IAS CLASS III: RANDOM CLOSE PACKING OF THREE-DIMENSIONALLY
CROSS-LINKED CHAINS 65
1.9 IMPERFECTIONS IN IAS
66
1.9.1 GEOMETRICAL (LOCAL) FLAWS 67
1.9.2 STATISTICAL (GLOBAL) FLAWS 68
1.9.3 THE EFFECT OF FLAWS ON THE DENSITY OF I AS 69
1.9.4 SHORT AND MEDIUM RANGE ORDER 72
REFERENCES 72
BOOKS ON CRYSTALLOGRAPHY 74
BOOKS ON GLASSES 74
BOOKS ON RANDOM WALKS 74
BOOKS ON SPHERE PACKINGS 74
BOOKS ON CRYSTAL IMPERFECTIONS 74
2 CHARACTERISTICS OF SPHERE PACKINGS 75
2.1 GEOMETRICAL PROPERTIES 75
2.1.1 THE COORDINATION DISTRIBUTION FUNCTION, L (FC) 75
2.1.2 TETRAHEDRICITY 76
2.1.3 VORONOI POLYHEDRA NOTATION 78
2.1.4 TOPOLOGY OF CLUSTERS 79
2.1.4.1 ORDERED CLUSTERS 80
2.1.4.2 IRREGULAR CLUSTERS 81
2.1.5 THE CONFIGURATION DISTRIBUTION FUNCTION, D
T
(Q 82
2.1.6 THE VOLUME FRACTION 83
2.1.6.1 REGULAR POLYHEDRA 84
2.1.6.2 IRREGULAR POLYHEDRA 84
2.1.7 THE PACKING FRACTION 85
2.1.7.1 THE AVERAGE PACKING FRACTION FOR THE ROUND CELL
86
2.1.7.2 THE LOCAL PACKING FRACTION 87
2.1.7.3 THE LIMITS OF PACKING FRACTION 87
2.1.8 REPRESENTATIVE VOLUME ELEMENT 91
2.1.9 DENSITY OF SINGLE PHASE 92
2.1.9.1 DENSITY OF CRYSTALLINE SOLID 92
2.1.9.2 DENSITY OF AMORPHOUS SOLID 92
CONTENTS VII
2.1.10 DENSITY OF A COMPOSITE 93
2.1.11 SOLIDITY OF PACKING 94
2.2 X-RAY SCATTERING 96
2.2.1 INTRODUCTION 96
2.2.2 GEOMETRY OF DIFFRACTION AND SCATTERING 96
2.2.3 INTENSITY OF A SCATTERED WAVE 97
2.2.3.1 AMORPHOUS SOLID 100
2.2.3.2 EHRENFEST FORMULA 100
2.2.3.3 POLYATOMIC SOLID 101
2.2.4 FACTORS AFFECTING INTEGRATED SCATTERED INTENSITY 102
2.2.4.1 INTEGRATED INTENSITY OF POWDER PATTERN LINES FROM CRYSTALLINE
BODY 102
2.2.4.2 INTEGRATED SCATTERED INTENSITY FROM MONOATOMIC BODY 102
2.3 GLASS TRANSITION MEASURED BY CALORIMETRY 103
REFERENCES 104
3 GLASSY MATERIALS AND IDEAL AMORPHOUS SOLIDS 107
3.1 INTRODUCTION 107
3.1.1 SOLIDIFICATION 108
3.1.1.1 SOLIDIFICATION BY MEANS OF CRYSTALLIZATION 110
3.1.1.2 SOLIDIFICATION THROUGH VITRIFICATION 111
3.1.2 COGNATE GROUPS OF AMORPHOUS MATERIALS (GLASSES) 114
3.1.2.1 METALLIC GLASSES 114
3.1.2.2 INORGANIC GLASSES 116
3.1.2.3 ORGANIC GLASSES 117
3.1.2.4 AMORPHOUS THIN FILMS 119
3.2 SUMMARY OF MODELS OF AMORPHOUS SOLIDS 119
3.2.1 LATTICE WITH ATOMIC DISORDER 120
3.2.2 DISORDERED CLUSTERS ON LATTICE 121
3.2.3 GEOMETRIC MODELS FOR AMORPHOUS NETWORKS 121
3.2.4 PACKING OF REGULAR BUT INCONGRUENT CLUSTERS 121
3.2.5 IRREGULAR CLUSTERS - RANDOM PACKING 123
3.2.6 MOLECULAR DYNAMICS 123
3.2.7 MONTE CARLO METHOD 124
3.3 IAS MODEL OF A-ARGON 125
3.3.1 IAS PARAMETERS 126
3.3.2 ROUND CELL SIMULATION AND ANALYSIS 127
3.3.2.1 COORDINATION DISTRIBUTION FUNCTION 129
3.3.2.2 VORONOI VOLUME AND CONFIGURATION DISTRIBUTION FUNCTIONS 129
3.3.2.3 RADIAL DISTRIBUTION FUNCTION 129
3.3.2.4 X-RAY SCATTERING FROM THE IAS MODEL 131
3.3.2.5 CRYSTALLINE AND AMORPHOUS CLUSTER 132
3.3.3 SUMMARY OF A-AR IAS STRUCTURE 132
3.4 IAS MODEL OF A-NINB ALLOY 133
3.4.1 INTRODUCTION 133
VIII | CONTENTS
3.4.2 IAS MODEL OF A-NINB ALLOY 133
3.4.2.1 COORDINATION DISTRIBUTION FUNCTIONS 133
3.4.2.2 VORONOI VOLUME DISTRIBUTION 135
3.4.2.3 PAIR DISTRIBUTION FUNCTION 135
3.4.2.4 PROBABILITY OF CONTACTS 135
3.4.3 X-RAY SCATTERING FROM A-NINB ALLOY 136
3.4.3.1 EXPERIMENTAL RESULTS 136
3.4.3.2 THEORETICAL RESULTS 138
3.4.4 DENSITY OF A-NI62-NB38 ALLOY 138
3.4.4.1 CRYSTALLINE ALLOY 138
3.4.4.2 AMORPHOUS ALLOY 139
3.4.5 SUMMARY OF A-NINB IAS STRUCTURE 140
3.5 IAS MODEL OF A-MGCUGD ALLOY 140
3.5.1 PHYSICAL PROPERTIES OF THE ELEMENTS 140
3.5.2 IAS SIMULATION OF A-MGCUGD ALLOY 140
3.5.2.1 COORDINATION DISTRIBUTION FUNCTIONS 143
3.5.2.2 CONFIGURATION DISTRIBUTION FUNCTION 143
3.5.2.3 RADIAL DISTRIBUTION FUNCTION 143
3.5.2.4 PROBABILITY OF CONTACTS 147
3.5.2.5 CLUSTER COMPOSITION ACCORDING TO IAS 147
3.5.2.6 CLUSTER COMPOSITION ACCORDING TO MD 148
3.5.3 X-RAY SCATTERING FROM A-MG65-CU25-GDLO ALLOY 149
3.5.3.1 FLAT PLATE X-RAY SCATTERING PATTERN 149
3.5.3.2 CALIBRATION BASED ON SI POWDER PATTERN 149
3.5.3.3 UNCERTAINTIES AND CORRECTIONS 153
3.5.4 DENSITY OF MG65-CU25-GDL0 ALLOY 155
3.5.4.1 CRYSTALLINE ALLOY 155
3.5.4.2 AMORPHOUS ALLOY 156
3.5.5 SUMMARY OF A-MGCUGD IAS STRUCTURE 156
3.6 IAS MODEL OF A-ZRTICUNIBE ALLOY 157
3.6.1 TRANSMISSION ELECTRON MICROSCOPY 157
3.6.2 IAS SIMULATION OF AMORPHOUS A-ZRTICUNIBE ALLOY 159
3.6.2.1 COORDINATION DISTRIBUTION FUNCTION 159
3.6.2.2 VORONOI VOLUME DISTRIBUTION 161
3.6.2.3 RADIAL DISTRIBUTION FUNCTION 161
3.6.3 ATOMIC PROBE OF THE A-ZRTICUNIBE ALLOY 162
3.6.3.1 PROBABILITY OF CONTACTS 162
3.6.4 SELECTED CLUSTERS FROM THE A-ZRTICUNIBE ALLOY 165
3.6.5 X-RAY SCATTERING FROM THE A-ZRTICUNIBE ALLOY 165
3.6.6 DENSITY OF ZRTICUNIBE ALLOY 167
3.6.6.1 CRYSTALLINE ALLOY 167
3.6.6.2 AMORPHOUS ALLOY 168
3.6.6.3 VITRELOY ALLOYS 169
3.6.7 SUMMARY OF A-ZRTICUNIBE IAS STRUCTURE 169
3.7 IAS MODEL OF A-POLYETHYLENE (A-PE) 169
CONTENTS IX
3.7.1 RADIAL DISTRIBUTION FUNCTION 171
3.7.2 X-RAY SCATTERING 173
3.7.2.1 SHORT-RANGE ORDER 174
3.7.3 SUMMARY OF A-PE IAS STRUCTURE 174
3.8 IAS MODEL OF A-SILICA (A-SI0
2
) 176
3.8.1 MOLECULAR PARAMETERS FOR SI0
2
176
3.8.2 IAS AND UNITED ATOM MODELS FOR SI0
2
176
3.8.3 SUMMARY OF A-SI0
2
IAS STRUCTURE 179
3.9 CHALCOGENIDE GLASSES 179
3.9.1 ASL2-GE33-SE55 CHALCOGENIDE GLASS 180
3.9.2 MEASURED COORDINATION DISTRIBUTION 181
3.9.3 MEASURED X-RAY SCATTERING 182
3.9.4 GLASS-TRANSITION TEMPERATURE OF ASGESE GLASSES 184
3.9.5 MODELS OF ATOMIC ARRANGEMENTS IN ASGESE GLASS 184
3.9.5.1 IAS MODEL OF ASGESE GLASS 184
3.9.5.2 OTHER MODELS OF ASGESE GLASS 185
3.9.6 SUMMARY OF A-ASGESE IAS STRUCTURE 186
3.10 CONCLUDING REMARKS 186
3.10.1 CHAPTER 3 186
3.10.2 CHAPTER 2 187
REFERENCES 187
4 MECHANICAL BEHAVIOUR 191
4.1 INTRODUCTION 191
4.2 ELASTICITY 193
4.2.1 PHENOMENOLOGY 193
4.2.2 CONTINUUM MECHANICS 195
4.2.2.1 CALCULATION OF AVERAGE ELASTIC CONSTANTS - AGGREGATE THEORY 198
4.2.2.2 GREEN S ELASTIC STRAIN ENERGY 199
4.2.3 ATOMISTIC ELASTICITY 200
4.2.3.1 CALCULATION OF AN ELASTIC CONSTANT FOR SINGLE CRYSTAL OF ARGON
200
4.3 ELASTIC PROPERTIES OF AMORPHOUS SOLIDS 202
4.3.1 ELASTIC MODULUS OF AMORPHOUS ARGON 202
4.4 FRACTURE 203
4.4.1 PHENOMENOLOGY 203
4.4.2 CONTINUUM MECHANICS 204
4.4.2.1 DEFINITION OF FRACTURE MECHANICS: FRACTURE TOUGHNESS 204
4.4.2.2 ELASTIC STRAIN ENERGY RELEASE 207
4.4.2.3 SOLID SURFACE ENERGY 208
4.4.2.4 GRIFFITH S FRACTURE STRESS 209
4.4.2.5 THE ROLE OF DEFECTS 210
4.4.3 ATOMISTIC FRACTURE MECHANICS OF SOLIDS 212
4.4.3.1 THEORETICAL CLEAVAGE STRENGTH 212
4.4.3.2 THEORETICAL SHEAR STRENGTH 213
4.5 PLASTICITY 215
X |
CONTENTS
4.5.1
PHENOMENOLOGY 215
4.5.2
CONTINUMM MECHANICS 217
4.5.2.1
TRESCA YIELD CRITERION 217
4.5.2.2
HUBER-VON MISES CRITERION 217
4.5.3
ATOMISTIC MECHANICS OF CRYSTALLINE SOLIDS 218
4.5.3.1
STRAIN HARDENING 218
4.5.3.2
GRAIN BOUNDARY STRENGTHENING 220
4.5.3.3
SOLID SOLUTION HARDENING 221
4.5.3.4
PRECIPITATION HARDENING 223
4.5.3.5
MECHANISMS OF PLASTIC FLOW IN CRYSTALLINE MATERIALS 224
4.5.3.6
DISPLACEMENT OF ATOMS AROUND DISLOCATIONS 224
4.5.3.7 CRITICAL SHEAR STRESS TO MOVE DISLOCATION 226
4.6
PLASTICITY IN PLASTICITY: AMORPHOUS SOLIDS 227
4.6.1
PLASTIC DEFORMATION BY SHEAR BAND PROPAGATION 228
4.7 SUPERPLASTICITY 231
4.7.1 PHENOMENOLOGY 231
4.7.2 CONTINUUM MECHANICS 233
4.7.3
SUPERPLASTICITY IN BULK METALLIC GLASSES 234
4.7.3.1 CALCULATION OF STRAIN RATE FOR SUPERPLASTICITY 234
4.7.4
CONCORDANT DEFORMATION MECHANISM 236
4.7.4.1 DENSITY VARIATION IN AMORPHOUS SOLIDS 238
4.7.4.2
THE INCLUSION PROBLEM 240
4.7.4.3 THE SYSTEM WITHOUT TRANSFORMATION 240
4.7.4.4 THE SYSTEM WITH TRANSFORMATION 241
4.7.4.5 CONCLUSIONS 242
4.8
VISCOELASTICITY 243
4.8.1 PHENOMENOLOGY 244
4.8.2
TIME- AND TEMPERATURE-DEPENDENT BEHAVIOUR 245
4.8.2.1
DEFINITIONS OF VISCOSITY 245
4.8.2.2
ORDER OF MAGNITUDE CALCULATIONS 246
4.8.3
TEMPERATURE EFFECT ON VISCOELASTIC BEHAVIOUR 247
4.8.3.1
ARRHENIUS BEHAVIOUR 247
4.8.3.2
VOGEL-FULCHER-TAMMANN BEHAVIOUR 247
REFERENCES 248
INDEX 253
|
| any_adam_object | 1 |
| author | Stachurski, Zbigniew H. |
| author_GND | (DE-588)1071221981 |
| author_facet | Stachurski, Zbigniew H. |
| author_role | aut |
| author_sort | Stachurski, Zbigniew H. |
| author_variant | z h s zh zhs |
| building | Verbundindex |
| bvnumber | BV042334729 |
| classification_rvk | UQ 8800 ZM 3450 ZM 7090 |
| ctrlnum | (OCoLC)904467867 (DE-599)DNB1050181360 |
| dewey-full | 530.413 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.413 |
| dewey-search | 530.413 |
| dewey-sort | 3530.413 |
| dewey-tens | 530 - Physics |
| discipline | Chemie / Pharmazie Physik Werkstoffwissenschaften / Fertigungstechnik |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV042334729 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:18:43Z |
| institution | BVB |
| isbn | 3527337075 9783527337071 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027771382 |
| oclc_num | 904467867 |
| open_access_boolean | |
| owner | DE-11 DE-703 DE-29T DE-83 DE-634 DE-20 DE-19 DE-BY-UBM |
| owner_facet | DE-11 DE-703 DE-29T DE-83 DE-634 DE-20 DE-19 DE-BY-UBM |
| physical | XII, 260 S. Ill., graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Wiley-VCH Higher Education Press |
| record_format | marc |
| spelling | Stachurski, Zbigniew H. Verfasser (DE-588)1071221981 aut Fundamentals of amorphous solids structure and properties Zbigniew H. Stachurski Weinheim Wiley-VCH 2015 Beijing Higher Education Press XII, 260 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Amorpher Festkörper (DE-588)4120883-3 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Amorpher Festkörper (DE-588)4120883-3 s DE-604 Erscheint auch als Online-Ausgabe, EPUB 978-3-527-68219-5 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-68218-8 Erscheint auch als Online-Ausgabe, PDF 978-3-527-68217-1 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027771382&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stachurski, Zbigniew H. Fundamentals of amorphous solids structure and properties Amorpher Festkörper (DE-588)4120883-3 gnd |
| subject_GND | (DE-588)4120883-3 (DE-588)4123623-3 |
| title | Fundamentals of amorphous solids structure and properties |
| title_auth | Fundamentals of amorphous solids structure and properties |
| title_exact_search | Fundamentals of amorphous solids structure and properties |
| title_full | Fundamentals of amorphous solids structure and properties Zbigniew H. Stachurski |
| title_fullStr | Fundamentals of amorphous solids structure and properties Zbigniew H. Stachurski |
| title_full_unstemmed | Fundamentals of amorphous solids structure and properties Zbigniew H. Stachurski |
| title_short | Fundamentals of amorphous solids |
| title_sort | fundamentals of amorphous solids structure and properties |
| title_sub | structure and properties |
| topic | Amorpher Festkörper (DE-588)4120883-3 gnd |
| topic_facet | Amorpher Festkörper Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027771382&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT stachurskizbigniewh fundamentalsofamorphoussolidsstructureandproperties |