Introduction to contact mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2000
|
| Schriftenreihe: | Mechanical engineering series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXI, 243 S. Ill., graph. Darst. |
| ISBN: | 0387989145 |
Internformat
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Datensatz im Suchindex
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| adam_text | 4
ANTHONY C. FISCHER-CRIPPS
INTRODUCTION TO
CONTACT MECHANICS
WITH 93 FIGURES
SPRINGER
CONTENTS
SERIES PREFACE VII
PREFACE IX
LIST OF SYMBOLS XVII
HISTORY XIX
CHAPTER 1. MECHANICAL PROPERTIES OF MATERIALS 1
1.1 INTRODUCTION 1
1.2 ELASTICITY 1
1.2.1 FORCES BETWEEN ATOMS
1
7.2.2
HOOKE S LAW
2
1.2.3 STRAIN ENERGY
4
1.2.4 SURFACE ENERGY
4
1.2.5 STRESS
5
1.2.6 STRAIN
10
1.2.7 POISSON S RATIO
14
1.2.8 LINEAR ELASTICITY (GENERALIZED HOOKE S LAW)
14
1.2.9 2-D PLANE STRESS, PLANE STRAIN
16
1.2.10 PRINCIPAL STRESSES
18
1.2.11 EQUATIONS OF EQUILIBRIUM AND COMPATIBILITY
23
1.2.12 SAINT-VENANT S PRINCIPLE
25
1.2.13 HYDROSTATIC STRESS AND STRESS DEVIATION
25
1.2.14 VISUALIZING STRESSES
26
1.3 PLASTICITY 27
1.3.1 EQUATIONS OF PLASTIC FLOW
27
1.4 STRESS FAILURE CRITERIA 28
1.4.1 TRESCA FAILURE CRITERION
28
1.4.2 VON MISES FAILURE CRITERION
29
REFERENCES 30
CHAPTER 2. LINEAR ELASTIC FRACTURE MECHANICS 31
2.1 INTRODUCTION 31
2.2 STRESS CONCENTRATIONS 31
^CII CONTENT
S
2.3 ENERGY BALANCE CRITERION 32
2.4 LINEAR ELASTIC FRACTURE MECHANICS 37
2.4.1 STRESS INTENSITY FACTOR
37
2.4.2 CRACK TIP PLASTIC ZONE
40
2.4.3 CRACK RESISTANCE
41
2.4.4 K
IC
, THE CRITICAL VALUE OFK,
41
2.4.5 EQUIVALENCE OFG AND K.
42
2.5 DETERMINING STRESS INTENSITY FACTORS 43
2.5.7
MEASURING STRESS INTENSITY FACTORS EXPERIMENTALLY
43
2.5.2 CALCULATING STRESS INTENSITY FACTORS FROM PRIOR STRESSES
4
4
2.5.3 DETERMINING STRESS INTENSITY FACTORS
USING THE FINITE-ELEMENT METHOD
46
REFERENCES 48
CHAPTER 3. DELAYED FRACTURE IN BRITTLE SOLIDS 49
3.1 INTRODUCTION 49
3.2 STATIC FATIGUE 49
3.3 THE STRESS CORROSION THEORY OF CHARLES AND HILLIG 51
3.4 SHARP TIP CRACK GROWTH MODEL 54
3.5 USING THE SHARP TIP CRACK GROWTH MODEL 57
REFERENCES 59
CHAPTER 4. STATISTICS OF BRITTLE FRACTURE 61
4.1 INTRODUCTION 61
4.2 BASIC STATISTICS 62
4.3 WEIBULL STATISTICS 64
4.3.1 STRENGTH AND FAILURE PROBABILITY
64
4.3.2 THE WEIBULL PARAMETERS
66
4.4 THE STRENGTH OF BRITTLE SOLIDS 68
4.4.1 WEIBULL PROBABILITY FUNCTION
68
4.4.2 DETERMINING THE WEIBULL PARAMETERS
70
4.4.3 EFFECT OF BIAXIAL STRESSES
71
4.4.4 DETERMINING THE PROBABILITY OF DELAY ED FAILURE
74
REFERENCES 76
CHAPTER 5. ELASTIC INDENTATION STRESS FIELDS 77
5.1 INTRODUCTION 77
5.2 HERTZ CONTACT PRESSURE DISTRIBUTION 77
5.3 ANALYSIS OF INDENTATION STRESS FIELDS 78
5.3.7
LINE CONTACT
79
FJ
CONTENTS XIII
5.3.2 POINT CONTACT
80
5.3.3 ANALYSIS OF STRESS AND DEFORMATION
82
5.4 INDENTATION STRESS FIELDS 83
5.4.7
UNIFORM PRESSURE
84
5.4.2 SPHERICAL INDENTER
87
5.4.3 CYLINDRICAL ROLLER (2-D) CONTACT
92
5.4.4 CYLINDRICAL (FLATPUNCH) INDENTER
93
5.4.5 RIGID CONE
97
REFERENCES 101
CHAPTER 6. ELASTIC CONTACT 103
6.1 HERTZ CONTACT EQUATIONS 103
6.2 CONTACT BETWEEN ELASTIC SOLIDS 104
6.2.1 SPHERICAL INDENTER
105
6.2.2 FLAT PUNCH INDENTER
109
6.2.3 CONICAL INDENTER
109
6.3 IMPACT 110
6.4 FRICTION 112
REFERENCES 116
CHAPTER 7. HERTZIAN FRACTURE 117
7.1 INTRODUCTION 117
7.2 HERTZIAN CONTACT EQUATIONS 117
7.3 AUERBACH S LAW 118
7.4 AUERBACH S LAW AND THE GRIFFITH ENERGY BALANCE CRITERION 119
7.5 FLAW STATISTICAL EXPLANATION OF AUERBACH S LAW 120
7.6 ENERGY BALANCE EXPLANATION OF AUERBACH S LAW 120
7.7 THE PROBABILITY OF HERTZIAN FRACTURE 126
7.7.7
WEIBULL STATISTICS
126
7.7.2 APPLICATION TO INDENTATION STRESS FIELD
127
7.8 FRACTURE SURFACE ENERGY AND THE AUERBACH CONSTANT 131
7.8.1 MINIMUM CRITICAL LOAD
131
7.8.2 MEDIAN FRACTURE LOAD
133
7.9 CONE CRACKS 135
7.9.1 CRACK PATH
135
7.9.2 CRACK SIZE
136
REFERENCES : 136
CHAPTER 8. ELASTIC-PLASTIC INDENTATION STRESS FIELDS 139
8.1 INTRODUCTION 139
^IV CONTENTS
8.2 POINTED INDENTERS 139
8.2.1 INDENTATION STRESS FIELD
139
8.2.2 INDENTATION FRACTURE
144
8.2.3 FRACTURE TOUGHNESS
146
8.2.4 BERKOVICH INDENTER
147
8.3 SPHERICAL INDENTER 148
REFERENCES 151
CHAPTER 9. HARDNESS 153
9.1 INTRODUCTION 153
9.2 INDENTATION HARDNESS MEASUREMENTS 153
9.2.7
BRINELL HARDNESS NUMBER
153
9.2.2 MEYER HARDNESS
154
9.2.3 VICKERS DIAMOND HARDNESS
155
9.2.4 KNOOP HARDNESS
155
9.2.5 OTHER HARDNESS TEST METHODS
156
9.3 MEANING OF HARDNESS 156
9.3.1 COMPRESSIVE MODES OF FAILURE
157
9.3.2 THE CONSTRAINT FACTOR
158
9.3.3 INDENTATION RESPONSE OF MATERIALS
159
9.3.4 HARDNESS THEORIES
160
REFERENCES 174
CHAPTER 10. ELASTIC AND ELASTIC-PLASTIC CONTACT 177
10.1 INTRODUCTION 177
10.2 GEOMETRICAL SIMILARITY 177
10.3 INDENTER TYPES 178
10.3.1 SPHERICAL, CONICAL, AND PYRAMIDAL INDENTERS
178
10.3.2 SHARP AND BLUNT INDENTERS
181
10.4 ELASTIC-PLASTIC CONTACT 181
70.4.7
ELASTIC RECOVERY
181
10.4.2 COMPLIANCE
185
10.4.3 ANALYSIS OF COMPLIANCE CURVES
186
10.4.4 THE ELASTIC-PLASTIC CONTACT SURFACE
196
10.5 INTERNAL FRICTION AND PLASTICITY 197
REFERENCES 199
CHAPTER 11. INDENTATION TEST METHODS 201
11.1 INTRODUCTION 201
11.2 BONDED-INTERFACE TECHNIQUE 201
4 CONTENTS XV
11.3 INDENTATION STRESS-STRAIN RESPONSE 203
77.17
THEORETICAL
203
11.3.2 EXPERIMENTAL METHOD
204
11.4 COMPLIANCE CURVES 207
11.5 INERT STRENGTH 209
11.6 HARDNESS TESTING 212
11.6.1 VICKERS HARDNESS
212
11.6.2 BERKOVICH INDENTER
214
11.6.3 KNOOP HARDNESS
214
REFERENCES 215
APPENDIX 1. SUBMICRON INDENTATION TEST ANALYSIS 217
A 1.1 INTRODUCTION 217
A1.2 INITIAL PENETRATION DEPTH 217
A 1.3 INSTRUMENT COMPLIANCE 219
A1.4 INDENTER SHAPE CORRECTION 221
A1.5 HARDNESS AS A FUNCTION OF DEPTH 224
A1.6 GENERATING SIMULATED DATA 226
AL.6.1 BERKOVICH INDENTER
226
AL.6.2 SPHERICAL INDENTER
227
REFERENCES 230
APPENDIX 2. THE FINITE-ELEMENT METHOD 231
A2.1 INTRODUCTION 231
A2.2 FINITE-ELEMENT ANALYSIS 231
A2.3 FINITE-ELEMENT MODELING 234
A2.3.1 CONTACT BETWEEN THE INDENTER AND THE SPECIMEN
234
A2.3.2 ELASTIC-PLASTIC RESPONSE
235
A2.3.3 FINITE-ELEMENT MODEL
237
A2.3.4 FINITE-ELEMENT MODELING RESULTS
238
REFERENCES 239
INDEX 241
|
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| isbn | 0387989145 |
| language | English |
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| spelling | Fischer-Cripps, Anthony C. Verfasser (DE-588)1057637270 aut Introduction to contact mechanics Anthony C. Fischer-Cripps New York [u.a.] Springer 2000 XXI, 243 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mechanical engineering series Festkörpermechanik Festkörpermechanik (DE-588)4129367-8 gnd rswk-swf Kontakt Reibung (DE-588)4293741-3 gnd rswk-swf Festkörpermechanik (DE-588)4129367-8 s Kontakt Reibung (DE-588)4293741-3 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008948082&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fischer-Cripps, Anthony C. Introduction to contact mechanics Festkörpermechanik Festkörpermechanik (DE-588)4129367-8 gnd Kontakt Reibung (DE-588)4293741-3 gnd |
| subject_GND | (DE-588)4129367-8 (DE-588)4293741-3 |
| title | Introduction to contact mechanics |
| title_auth | Introduction to contact mechanics |
| title_exact_search | Introduction to contact mechanics |
| title_full | Introduction to contact mechanics Anthony C. Fischer-Cripps |
| title_fullStr | Introduction to contact mechanics Anthony C. Fischer-Cripps |
| title_full_unstemmed | Introduction to contact mechanics Anthony C. Fischer-Cripps |
| title_short | Introduction to contact mechanics |
| title_sort | introduction to contact mechanics |
| topic | Festkörpermechanik Festkörpermechanik (DE-588)4129367-8 gnd Kontakt Reibung (DE-588)4293741-3 gnd |
| topic_facet | Festkörpermechanik Kontakt Reibung |
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