Fracture mechanics: with an introduction to micromechanics
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2011
|
| Edition: | 2. ed. |
| Series: | Mechanical engineering series
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | X, 336 S. graph. Darst. |
| ISBN: | 9783642192395 3642192394 |
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MARC
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Record in the Search Index
| _version_ | 1805145308124938240 |
|---|---|
| adam_text |
IMAGE 1
CONTENTS
INTRODUCTION 1
1 ELEMENTS OF SOLID MECHANICS 5
1.1 STRESS 5
1.1.1 STRESS VECTOR 5
1.1.2 STRESS TENSOR 7
1.1.3 EQUILIBRIUM CONDITIONS 10
1.2 DEFORMATION AND STRAIN 11
1.2.1 STRAIN TENSOR 11
1.2.2 STRAIN RATE 13
1.3 CONSTITUTIVE LAWS 14
1.3.1 ELASTICITY 15
1.3.2 VISCOELASTICITY 19
1.3.3 PLASTICITY 22
1.4 ENERGY PRINCIPLES 27
1.4.1 ENERGY BALANCE 27
1.4.2 PRINCIPLE OF VIRTUAL WORK 28
1.4.3 THEOREMS OF CLAPEYRON AND BETTI 30
1.5 PLANE PROBLEMS 31
1.5.1 PLANE STRESS, PLANE STRAIN, LONGITUDINAL SHEAR 31
1.5.2 LINEAR ELASTICITY, COMPLEX METHOD 33
1.5.3 PERFECTLY PLASTIC MATERIAL, SLIP-LINE FIELDS 35
1.6 FURTHER READING 38
2 CLASSICAL FRACTURE AND FAILURE HYPOTHESES 39
2.1 BASIC CONCEPTS 39
2.2 FAILURE HYPOTHESES 41
2.2.1 PRINCIPAL STRESS HYPOTHESIS 41
2.2.2 PRINCIPAL STRAIN HYPOTHESIS 42
2.2.3 STRAIN ENERGY HYPOTHESIS 42
2.2.4 COULOMB-MOHRHYPOTHESIS 43
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1009640828
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
2.2.5 DRUCKER-PRAGER HYPOTHESIS 46
2.2.6 JOHNSON-COOK CRITERION 47
2.3 DEFORMATION BEHAVIOR DURING FAILURE 48
2.4 PROBLEMS 49
2.5 FURTHER READING 49
MICRO AND MACRO PHENOMENA OF FRACTURE 51
3. 1 MICROSCOPIC ASPECTS 51
3.1.1 SURFACE ENERGY, THEORETICAL STRENGTH 51
3.1.2 MICROSTRUCTURE AND DEFECTS 53
3.1.3 CRACK FORMATION 56
3.1.4 PERCOLATION 57
3.2 MACROSCOPIC ASPECTS 59
3.2.1 CRACK GROWTH 59
3.2.2 TYPES OF FRACTURE 60
3.3 FURTHER READING 61
LINEAR FRACTURE MECHANICS 63
4.1 GENERAL REMARKS 63
4.2 CRACK-TIP FIELD 64
4.2.1 TWO-DIMENSIONAL CRACK-TIP FIELDS 64
4.2.2 MODE-I CRACK-TIP FIELD 70
4.2.3 THREE-DIMENSIONAL CRACK-TIP FIELD 71
4.3 IF-CONCEPT 72
4.4 X-FACTORS 73
4.4.1 EXAMPLES 74
4.4.2 INTEGRAL EQUATION FORMULATION 80
4.4.3 METHOD OF WEIGHT FUNCTIONS 82
4.4.4 CRACK INTERACTION 85
4.4.5 STRESS INTENSITY FACTORS AND STRESS CONCENTRATION FACTORS 90 4.5
FRACTURE TOUGHNESS KJ C 92
4.6 ENERGY BALANCE 94
4.6.1 ENERGY RELEASE DURING CRACK PROPAGATION 94
4.6.2 ENERGY RELEASE RATE 96
4.6.3 COMPLIANCE, ENERGY RELEASE RATE, AND ^-FACTORS 99 4.6.4 ENERGY
BALANCE, GRIFFITH'S FRACTURE CRITERION 100
4.6.5 J-INTEGRAL 106
4.7 SMALL-SCALE YIELDING 113
4.7.1 PLASTIC ZONE SIZE, IRWIN'S CRACK LENGTH CORRECTION 113 4.7.2
QUALITATIVE REMARKS ON THE PLASTIC ZONE 115
4.8 STABLE CRACK GROWTH 116
4.9 MIXED-MODE LOADING 119
4.10 CRACK INITIATION AT CAVITIES AND NOTCHES 124
4.11 FATIGUE CRACK GROWTH 126
4.12 INTERFACE CRACKS 128
IMAGE 3
CONTENTS IX
4.13 PIEZOELECTRIC MATERIALS 136
4.13.1 BASIC PRINCIPLES 136
4.13.2 THE CRACK IN A FERROELECTRIC MATERIAL 138
4.14 PROBLEMS 140
4.15 FURTHER READING 143
5 ELASTIC-PLASTIC FRACTURE MECHANICS 145
5.1 INTRODUCTION 145
5.2 DUGDALE MODEL 146
5.3 COHESIVE ZONE MODELS 150
5.4 CRACK-TIP FIELD 153
5.4.1 PERFECTLY PLASTIC MATERIAL 153
5.4.2 TOTAL STRAIN THEORY, HRR-FIELD 159
5.5 FRACTURE CRITERION 164
5.6 DETERMINATION OF J 166
5.7 DETERMINATION OF J C 167
5.8 CRACK PROPAGATION 171
5.8.1 J-CONTROLLED CRACK GROWTH 171
5.8.2 STABLE CRACK GROWTH 173
5.8.3 STEADY-STATE CRACK GROWTH 175
5.9 ESSENTIAL WORK OF FRACTURE 181
5.10 PROBLEMS 183
5.11 FURTHER READING 1 84
6 CREEP FRACTURE 185
6.1 INTRODUCTION 185
6.2 FRACTURE OF LINEAR VISCOELASTIC MATERIALS 186
6.2.1 CRACK-TIP FIELD, ELASTIC-VISCOELASTIC ANALOGY 186 6.2.2 FRACTURE
CONCEPT 188
6.2.3 CRACK PROPAGATION 190
6.3 CREEP FRACTURE OF NONLINEAR MATERIALS 194
6.3.1 SECONDARY CREEP, CONSTITUTIVE LAW 194
6.3.2 STATIONARY CRACK, CRACK-TIP FIELD, LOADING PARAMETERS 195 6.3.3
CREEP CRACK GROWTH 199
6.4 FURTHER READING 204
7 DYNAMIC FRACTURE MECHANICS 207
7.1 INTRODUCTION 207
7.2 SOME FOUNDATIONS OF ELASTODYNAMICS 208
7.3 DYNAMIC LOADING OF A STATIONARY CRACK 209
7.3.1 CRACK-TIP FIELD, /F-CONCEPT 209
7.3.2 ENERGY RELEASE RATE, ENERGETIC FRACTURE CRITERION 210 7.3.3
EXAMPLES 211
7.4 CRACK PROPAGATION 214
7.4.1 CRACK-TIP FIELD 214
IMAGE 4
X CONTENTS
7.4.2 ENERGY RELEASE RATE 217
7.4.3 FRACTURE CONCEPT, CRACK-TIP SPEED, CRACK BRANCHING, CRACK ARREST
220
7.4.4 EXAMPLES 223
7.5 FRAGMENTATION 227
7.6 FURTHER READING 228
8 MICROMECHANICS AND HOMOGENIZATION 229
8. 1 INTRODUCTION 229
8.2 SELECTED DEFECTS AND FUNDAMENTAL SOLUTIONS 231
8.2.1 EIGENSTRAIN 231
8.2.2 INHOMOGENEITIES 240
8.3 EFFECTIVE ELASTIC PROPERTIES 245
8.3.1 FOUNDATIONS 245
8.3.2 ANALYTICAL APPROXIMATIONS 254
8.3.3 ENERGY METHODS AND BOUNDS 273
8.4 HOMOGENIZATION OF ELASTIC-PLASTIC MATERIALS 280
8.4.1 FOUNDATIONS 280
8.4.2 APPROXIMATIONS 289
8.5 THERMOELASTIC MATERIAL 294
8.6 PROBLEMS 296
8.7 FURTHER READING 298
9 DAMAGE MECHANICS 301
9. 1 INTRODUCTION 301
9.2 FOUNDATIONS 302
9.3 BRITTLE DAMAGE 304
9.4 DUCTILE DAMAGE 307
9.4.1 VOID GROWTH 307
9.4.2 DAMAGE MODELS 310
9.4.3 FRACTURE CONCEPT 312
9.5 MATERIAL SOFTENING AND STRAIN LOCALIZATION 312
9.6 FURTHER READING 316
10 PROBABILISTIC FRACTURE MECHANICS 317
10.1 INTRODUCTION 317
10.2 FOUNDATIONS 318
10.3 STATISTICAL FRACTURE CONCEPT OF WEIBULL 320
10.3.1 FRACTURE PROBABILITY 320
10.3.2 FRACTURE STRESS 323
10.3.3 GENERALIZATIONS 324
10.4 PROBABILISTIC FRACTURE MECHANICAL ANALYSIS 325
10.5 FURTHER READING 326
INDEX 329 |
| any_adam_object | 1 |
| author | Gross, Dietmar 1941- Seelig, Thomas 1964- |
| author_GND | (DE-588)132142600 (DE-588)115664319 |
| author_facet | Gross, Dietmar 1941- Seelig, Thomas 1964- |
| author_role | aut aut |
| author_sort | Gross, Dietmar 1941- |
| author_variant | d g dg t s ts |
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| bvnumber | BV039619937 |
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| ctrlnum | (OCoLC)746133815 (DE-599)DNB1009640828 |
| dewey-full | 620.1126 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1126 |
| dewey-search | 620.1126 |
| dewey-sort | 3620.1126 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik |
| edition | 2. ed. |
| format | Book |
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| spelling | Gross, Dietmar 1941- Verfasser (DE-588)132142600 aut Fracture mechanics with an introduction to micromechanics Dietmar Gross ; Thomas Seelig 2. ed. Berlin [u.a.] Springer 2011 X, 336 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mechanical engineering series Bruchmechanik (DE-588)4112837-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Bruchmechanik (DE-588)4112837-0 s 1\p DE-604 Seelig, Thomas 1964- Verfasser (DE-588)115664319 aut X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3654903&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=024470365&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
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| title | Fracture mechanics with an introduction to micromechanics |
| title_auth | Fracture mechanics with an introduction to micromechanics |
| title_exact_search | Fracture mechanics with an introduction to micromechanics |
| title_full | Fracture mechanics with an introduction to micromechanics Dietmar Gross ; Thomas Seelig |
| title_fullStr | Fracture mechanics with an introduction to micromechanics Dietmar Gross ; Thomas Seelig |
| title_full_unstemmed | Fracture mechanics with an introduction to micromechanics Dietmar Gross ; Thomas Seelig |
| title_short | Fracture mechanics |
| title_sort | fracture mechanics with an introduction to micromechanics |
| title_sub | with an introduction to micromechanics |
| topic | Bruchmechanik (DE-588)4112837-0 gnd |
| topic_facet | Bruchmechanik Lehrbuch |
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