A unified statistical methodology for modeling fatigue damage:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
[Dordrecht]
Springer
2009
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 219 - 228 |
| Beschreibung: | XIV, 232 S. graph. Darst. |
| ISBN: | 9781402091810 |
Internformat
MARC
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| 100 | 1 | |a Castillo, Enrique |d 1946- |e Verfasser |0 (DE-588)124179266 |4 aut | |
| 245 | 1 | 0 | |a A unified statistical methodology for modeling fatigue damage |c Enrique Castillo ; Alfonso Fernandez-Canteli |
| 264 | 1 | |a [Dordrecht] |b Springer |c 2009 | |
| 300 | |a XIV, 232 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 219 - 228 | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Materials |x Fatigue | |
| 650 | 4 | |a Materials |x Fatigue |x Mathematical models | |
| 700 | 1 | |a Fernández-Canteli, Alfonso |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4020-9182-7 |
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Datensatz im Suchindex
| _version_ | 1804138560630030336 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
I INTRODUCTION AND MOTIVATION OF THE FATIGUE PROBLEM 1
1 AN OVERVIEW OF FATIGUE PROBLEMS 3
1.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 4
1.2 MODELS WITH DIMENSIONLESS VARIABLES . . . . . . . . . . . . . . . .
4
1.3 S-N OR W¨ OHLER CURVES . . . . . . . . . . . . . . . . . . . . . . .
. 6
1.3.1 COMPATIBILITY CONDITION OF N * | * * AND * * | N * . . . . . . 9
1.3.2 STATISTICAL CONSIDERATIONS . . . . . . . . . . . . . . . . . . 11
1.4 * -N CURVES . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 12
1.5 STRESS LEVEL EF FECT . . . . . . . . . . . . . . . . . . . . . . . .
. . . 13
1.5.1 COMPATIBILITY CONDITION OF S-N CURVES FOR CONSTANT * * M AND S-N
CURVES FOR CONSTANT * * M . . . . . . . . . . . . . . 14
1.6 CRACK GROWTH CURVES . . . . . . . . . . . . . . . . . . . . . . . .
. 16
1.6.1 CRACK GROWTH CURVES FOR A CONSTANT STRESS PAIR T * . . . . . 18
1.6.2 CRACK GROWTH CURVES FOR A VARYING STRESS PAIR T * . . . . . 20
1.6.3 COMPATIBILITY OF CRACK GROWTH AND S-N MODELS . . . . . . 22 1.7
CRACK GROWTH RATE CURVES . . . . . . . . . . . . . . . . . . . . . . 22
1.8 SIZE EF FECT . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 25
1.9 NORMALIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 26
1.9.1 PERCENTILE BASED NORMALIZATIONS . . . . . . . . . . . . . . . 26
1.9.2 STRESS RANGE AND LIFETIME BASED NORMALIZATIONS . . . . . . 29
1.9.3 EXTENDED PERCENTILE NORMALIZATION . . . . . . . . . . . . . 30
1.10 DAMAGE MEASURES AND DAMAGE ACCUMULATION . . . . . . . . . . . 31
II MODELS USED IN THE STRESS BASED APPROACH 33
2 S-N OR W¨OHLER FIELD MODELS 35
2.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 36
2.2 DIMENSIONAL ANALYSIS . . . . . . . . . . . . . . . . . . . . . . . .
. 38
2.3 EXTREME MODELS IN FATIGUE . . . . . . . . . . . . . . . . . . . . .
. 41
2.3.1 THE WEIBULL MODEL . . . . . . . . . . . . . . . . . . . . . . 41
2.3.2 THE MINIMAL GUMBEL MODEL . . . . . . . . . . . . . . . . . 42
2.4 MODEL FOR CONSTANT STRESS RANGE AND LEVEL . . . . . . . . . . . . .
. 43
2.4.1 DERIVATION OF THE MODEL . . . . . . . . . . . . . . . . . . . 43
XI
IMAGE 2
XII CONTENTS
2.4.2 PARAMETER ESTIMATION . . . . . . . . . . . . . . . . . . . . 45
2.4.3 ALTERNATIVE METHODS FOR DEALING WITH RUN-OUTS . . . . . . . 48 2.5
MODEL FOR VARYING RANGE AND GIVEN STRESS LEVEL . . . . . . . . . . . 49
2.5.1 DERIVATION OF THE MODEL . . . . . . . . . . . . . . . . . . . 49
2.5.2 SOME WEAKNESSES OF THE PROPOSED MODEL . . . . . . . . . . 53
2.5.3 PARAMETER ESTIMATION . . . . . . . . . . . . . . . . . . . . 55
2.5.4 USE OF THE MODEL IN PRACTICE . . . . . . . . . . . . . . . . . 56
2.5.5 EXAMPLE OF APPLICATION . . . . . . . . . . . . . . . . . . . 57
2.6 MODEL FOR VARYING STRESS RANGE AND LEVEL . . . . . . . . . . . . . .
59
2.7 DIMENSIONAL WEIBULL AND GUMBEL MODELS . . . . . . . . . . . . . 64
2.8 PROPERTIES OF THE MODEL . . . . . . . . . . . . . . . . . . . . . .
. 65
2.8.1 PARAMETER ESTIMATION . . . . . . . . . . . . . . . . . . . . 69
2.8.2 USE OF THE MODEL IN PRACTICE . . . . . . . . . . . . . . . . . 71
2.8.3 EXAMPLE OF APPLICATIONS . . . . . . . . . . . . . . . . . . . 72
2.9 CONCLUDING REMARKS . . . . . . . . . . . . . . . . . . . . . . . . .
84
2.10 APPENDIX A: DERIVATION OF THE GENERAL MODEL . . . . . . . . . . .
85
2.11 APPENDIX B: S-N CURVES FOR THE GENERAL MODEL . . . . . . . . . . .
89
3 LENGTH EFFECT 91
3.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 91
3.2 MODELING THE S-N FIELD FOR DIFFERENT LENGTHS . . . . . . . . . . . .
95
3.2.1 A PREVIOUS EXAMPLE . . . . . . . . . . . . . . . . . . . . . 95
3.2.2 GENERAL MODEL FOR DIFFERENT LENGTHS . . . . . . . . . . . . . 97
3.2.3 PARAMETER ESTIMATION . . . . . . . . . . . . . . . . . . . . 98
3.3 EXAMPLES OF APPLICATION . . . . . . . . . . . . . . . . . . . . . .
. 100
3.3.1 PRESTRESSING WIRES . . . . . . . . . . . . . . . . . . . . . . 100
3.3.2 PRESTRESSING STRANDS . . . . . . . . . . . . . . . . . . . . . 105
III MODELS USED IN THE STRAIN BASED APPROACH 111
4 LOG-WEIBULL * -N MODEL 113
4.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 113
4.2 MODEL FOR CONSTANT STRAIN RANGE AND LEVEL . . . . . . . . . . . . .
116
4.2.1 PRACTICAL EXAMPLE . . . . . . . . . . . . . . . . . . . . . . 119
4.3 MODEL FOR VARYING STRAIN RANGE AND LEVEL . . . . . . . . . . . . . .
119
4.4 CONVERTING STRAIN- INTO STRESS-LIFE CURVES . . . . . . . . . . . . .
. 121
4.4.1 PRACTICAL EXAMPLE . . . . . . . . . . . . . . . . . . . . . . 123
4.5 CONCLUDING REMARKS . . . . . . . . . . . . . . . . . . . . . . . . .
124
IV MODELS USED IN THE FRACTURE MECHANICS APPROACH127
5 CRACK GROWTH MODELS 129
5.1 INTRODUCTION AND MOTIVATION . . . . . . . . . . . . . . . . . . . .
. 129
5.2 BUILDING CRACK GROWTH MODELS . . . . . . . . . . . . . . . . . . . .
131
IMAGE 3
CONTENTS XIII
5.3 CRACK GROWTH CURVES APPROACH I . . . . . . . . . . . . . . . . . . .
135
5.3.1 CRACK GROWTH CURVES FOR CONSTANT * * * AND * * * . . . . . . . 135
5.3.2 CRACK GROWTH CURVES FOR VARYING * * * AND * * * . . . . . . . 138
5.3.3 COMPATIBILITY OF CRACK GROWTH AND S-N MODELS . . . . . . 141 5.4
CRACK GROWTH CURVES APPROACH II . . . . . . . . . . . . . . . . . . 144
5.4.1 CRACK GROWTH CURVES FOR CONSTANT * * * AND * * * . . . . . . . 144
5.4.2 CRACK GROWTH CURVES FOR VARYING * * * AND * * * . . . . . . . 146
5.4.3 STATISTICAL DISTRIBUTIONS OF A * | N * AND N * | A * . . . . . . .
. 149
5.4.4 LEARNING AND ESTIMATING THE MODEL . . . . . . . . . . . . . 152
5.4.5 COMPATIBILITY OF APPROACHES I AND II . . . . . . . . . . . . 153
5.5 EXAMPLE OF APPLICATION . . . . . . . . . . . . . . . . . . . . . . .
. 154
5.6 SUMMARY AND FUTURE WORK . . . . . . . . . . . . . . . . . . . . . .
156
V DAMAGE AND DAMAGE ACCUMULATION MODELS 159
6 DAMAGE MEASURES 161
6.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 161
6.2 NORMALIZATION . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 165
6.3 DAMAGE MEASURES . . . . . . . . . . . . . . . . . . . . . . . . . .
. 167
6.3.1 SOME REQUIREMENTS FOR A DAMAGE MEASURE . . . . . . . . . 167
6.3.2 SOME DAMAGE MEASURES . . . . . . . . . . . . . . . . . . . 168
6.4 CONCLUDING REMARKS . . . . . . . . . . . . . . . . . . . . . . . . .
174
7 DAMAGE ACCUMULATION 175
7.1 DAMAGE ACCUMULATION . . . . . . . . . . . . . . . . . . . . . . . .
175
7.1.1 ACCUMULATED DAMAGE AFTER A CONSTANT STRESS RANGE LOAD STEP180
7.1.2 ACCUMULATED DAMAGE AFTER BLOCK LOADING . . . . . . . . . 181
7.1.3 FATIGUE UNDER A GENERAL LOADING HISTORY . . . . . . . . . . 182
7.1.4 RANDOM LOADING . . . . . . . . . . . . . . . . . . . . . . . 186
7.2 CRACK GROWTH DAMAGE FOR ANY LOAD HISTORY . . . . . . . . . . . . .
186
VI APPENDICES 191
A MODELS USED IN FATIGUE 193
A.1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 193
A.2 S-N CURVE MODELS . . . . . . . . . . . . . . . . . . . . . . . . . .
. 196
A.2.1 THE W¨ OHLER MODEL . . . . . . . . . . . . . . . . . . . . . . 196
A.2.2 THE BASQUIN MODEL . . . . . . . . . . . . . . . . . . . . . . 198
A.2.3 THE STROHMEYER MODEL . . . . . . . . . . . . . . . . . . . . 199
A.2.4 THE PALMGREN MODEL . . . . . . . . . . . . . . . . . . . . . 199
A.2.5 THE ST¨ USSI MODEL . . . . . . . . . . . . . . . . . . . . . . .
200
A.2.6 THE WEIBULL MODEL . . . . . . . . . . . . . . . . . . . . . . 200
A.2.7 THE SPINDEL AND HAIBACH MODEL . . . . . . . . . . . . . . 200
A.2.8 THE KOHOUT AND VECHET MODEL . . . . . . . . . . . . . . . 201
IMAGE 4
XIV CONTENTS
A.3 STRESS F IELD MODELS . . . . . . . . . . . . . . . . . . . . . . . .
. . 202
A.3.1 THE PASCUAL AND MEEKER MODEL . . . . . . . . . . . . . . . 202
A.3.2 THE BASTENAIRE MODEL . . . . . . . . . . . . . . . . . . . . 202
A.3.3 THE CASTILLO ET AL. (1985) MODEL . . . . . . . . . . . . . . 204
A.4 FATIGUE LIMIT MODELS . . . . . . . . . . . . . . . . . . . . . . . .
. 205
A.4.1 THE UP-AND-DOWN METHOD . . . . . . . . . . . . . . . . . . 205
B NOTATION USED IN THIS BOOK 213
BIBLIOGRAPHY 219
INDEX 229
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:30:08Z |
| institution | BVB |
| isbn | 9781402091810 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017077805 |
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| physical | XIV, 232 S. graph. Darst. |
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| spelling | Castillo, Enrique 1946- Verfasser (DE-588)124179266 aut A unified statistical methodology for modeling fatigue damage Enrique Castillo ; Alfonso Fernandez-Canteli [Dordrecht] Springer 2009 XIV, 232 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 219 - 228 Mathematisches Modell Materials Fatigue Materials Fatigue Mathematical models Fernández-Canteli, Alfonso Verfasser aut Erscheint auch als Online-Ausgabe 978-1-4020-9182-7 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017077805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Castillo, Enrique 1946- Fernández-Canteli, Alfonso A unified statistical methodology for modeling fatigue damage Mathematisches Modell Materials Fatigue Materials Fatigue Mathematical models |
| title | A unified statistical methodology for modeling fatigue damage |
| title_auth | A unified statistical methodology for modeling fatigue damage |
| title_exact_search | A unified statistical methodology for modeling fatigue damage |
| title_full | A unified statistical methodology for modeling fatigue damage Enrique Castillo ; Alfonso Fernandez-Canteli |
| title_fullStr | A unified statistical methodology for modeling fatigue damage Enrique Castillo ; Alfonso Fernandez-Canteli |
| title_full_unstemmed | A unified statistical methodology for modeling fatigue damage Enrique Castillo ; Alfonso Fernandez-Canteli |
| title_short | A unified statistical methodology for modeling fatigue damage |
| title_sort | a unified statistical methodology for modeling fatigue damage |
| topic | Mathematisches Modell Materials Fatigue Materials Fatigue Mathematical models |
| topic_facet | Mathematisches Modell Materials Fatigue Materials Fatigue Mathematical models |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017077805&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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