Mechanics of transformation toughening and related topics
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u. a.]
Elsevier
1996
|
| Schriftenreihe: | North-Holland series in applied mathematics and mechanics
40 |
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| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Karihaloo, B. L. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mechanics of transformation toughening and related topics |c B. L. Karihaloo ; J. H. Andreasen |
| 264 | 1 | |a Amsterdam [u. a.] |b Elsevier |c 1996 | |
| 300 | |a XIV, 526 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a North-Holland series in applied mathematics and mechanics |v 40 | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Ceramic materials |x Thermomechanical properties |x Mathematical models | |
| 650 | 4 | |a Fracture mechanics |x Mathematical models | |
| 650 | 4 | |a Martensitic transformations |x Mathematical models | |
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Datensatz im Suchindex
| _version_ | 1819646574407450624 |
|---|---|
| adam_text | ix
Contents
I Introduction and Theory 1
1 Introduction 3
2 Transformation Toughening Materials 9
2.1 General 9
2.2 Modern Zirconia Based Ceramics 10
2.3 Martensitic Transformation 11
2.3.1 Retention of the t phase 15
2.4 Fabrication and Microstructure of PSZ 17
2.5 Microstructural Development 18
2.5.1 Ca PSZ 18
2.5.2 Mg PSZ 21
2.5.3 Y PSZ 27
2.6 Fabrication and Microstructure of TZP 28
2.6.1 Y TZP 29
2.6.2 Ce TZP 30
3 Constitutive Modelling 35
3.1 Introduction 35
3.2 Constitutive Model for Dilatant Transformation Behaviour 36
3.3 Constitutive Model for Shear and Dilatant
Transformation Behaviour 43
3.3.1 Stress Strain Relations during Transformation . . . 44
3.3.2 Transformation Criterion and Transformed Frac¬
tion of Material 47
3.3.3 Comparison between the Two Constitutive Models 54
3.3.4 Comparison with Experiment 56
x Contents
3.4 Constitutive Model for ZTC 58
3.4.1 Equivalent Inclusion Method for Inhomogeneity
Problem 59
3.4.2 Transformation Yielding and Twinning of a Single
Zirconia Particle 62
3.4.3 Overall Properties and Local Fields 69
3.4.4 Transformation Yielding and Twinning of TTC . . 73
3.4.5 Transformation Yielding under Uniaxial Loading . 76
4 Elastic Solutions for Isolated Transformable Spots 81
4.1 Centres of Transformation 81
4.1.1 Centre of Dilatation 84
4.1.2 Centre of Shear 85
4.1.3 Planar Transformation Strains 87
4.1.4 Complex Representation 89
4.2 Transformation Spots 93
4.2.1 Transformation Spots in an Infinite Plane 93
4.2.2 Transformation Spots in a Half Plane 96
4.3 Homogeneous Dilatant Inclusions 97
4.3.1 Weight Functions for a Single Inclusion in an
Infinite Plane 101
4.3.2 Weight Functions for a Subsurface Inclusion .... 102
4.3.3 Weight Functions for a Row of Inclusions 103
4.3.4 Weight Functions for a Stack of Inclusions 105
4.3.5 Weight Functions for a Row of Subsurface
Inclusions 106
5 Interaction between Cracks and Isolated
Transformable Particles 109
5.1 Interaction of a Spot with a Crack 109
5.1.1 Finite crack 109
5.1.2 Semi Infinite Crack 114
5.2 Stress Intensity Factors 117
5.3 Mode I Spot Distributions 118
6 Modelling of Cracks by Dislocations 129
6.1 Dislocation Formalism 129
6.1.1 Complex Representation of Dislocations 131
6.2 Representation of Cracks by Dislocations 132
6.2.1 Weight Functions for an Edge Dislocations in an
Infinite Plane 136
Contents xi
6.2.2 Weight Functions for a Subsurface Dislocation . . 137
6.2.3 Weight Functions for a Row of Dislocations .... 140
6.2.4 Weight Functions for a Stack of Dislocations . . . 143
6.2.5 Weight Functions for a Row of Subsurface
Dislocations 146
II Transformation Toughening 151
7 Steady State Toughening due to Dilatation 153
7.1 Introduction 153
7.2 Toughness Increment for a Semi Infinite Stationary Crack 155
7.3 Toughening due to Steady State Crack Growth 157
7.3.1 Steady State Crack Growth in Super Critically
Transforming Materials 160
7.3.2 Steady State Crack Growth in Sub Critically
Transforming Materials 166
7.3.3 Influence of Shear on Super Critical Steady State
Toughening 182
8 R Curve Analysis 187
8.1 Semi Infinite Cracks 187
8.1.1 Stationary and Growing Semi Infinite Crack .... 191
8.2 Single Internal Cracks 196
8.2.1 Stationary and Growing Internal Crack 199
8.2.2 Relation Between Toughening and Strengthening . 205
8.2.3 Biaxially Loaded Internal Crack 208
8.3 Array of Internal Cracks 214
8.3.1 Mathematical Formulation 214
8.3.2 Onset of crack growth 217
8.3.3 Growing cracks 226
8.4 Surface Cracks 231
8.4.1 Model Description and Theory 232
8.4.2 Single Surface Cracks 236
8.5 Array of Surface Cracks 242
8.6 Steady State Analysis of an Array of Semi Infinite Cracks 247
8.6.1 Results and Discussion 253
8.7 Solution Strategies for Interacting Cracks and Inclusions . 261
xii Contents
9 Three Dimensional Transformation Toughening 271
9.1 Introduction 271
9.2 Three Dimensional Weight Functions 272
9.3 Dilatational Transformation Strains 285
9.4 Shear Transformation Strains 286
9.4.1 Simple Transformation Domains 289
10 Transformation Zones from Discrete Particles 303
10.1 Introduction 303
10.2 Semi Infinite Stationary Crack 305
10.3 Semi Infinite Quasi Statically Growing Crack 324
10.4 Self Propagating Transformation (Autocatalysis) 331
10.4.1 A Strip of Transformable Material 331
10.4.2 A Row of Transformable Particles 337
III Related Topics 341
11 Toughening in DZC 343
11.1 Introduction 343
11.2 Contribution of Phase Transformation to the Toughening
of DZC 344
11.2.1 Experimental Evidence 345
11.2.2 Dilatational Contribution to the Toughening
ofZTA 347
11.3 Contribution of Microcracking to the Toughening of DZC 351
11.3.1 Introduction 351
11.3.2 Reduction in Moduli and Release of
Residual Stress 353
11.3.3 Kiip/Kappl for Arbitrarily Shaped Regions Con¬
taining a Dilute Distribution of Randomly Ori¬
ented Microcracks 358
11.3.4 Kiip/KappI for two Nucleation Criteria for Sta¬
tionary and Steadily Growing Cracks 359
11.4 Contribution of Small Moduli Differences to the
Toughening of TTC 367
11.4.1 Introduction 367
11.4.2 Mathematical Formulation 368
11.4.3 Calculation of Displacement Field 375
11.4.4 Evaluation of Some Integrals 378
11.4.5 Correction for Moduli Differences 384
Contents xiii
11.4.6 Results and Discussion 389
11.5 Effective Transformation Strain in Binary Composites . . 390
11.5.1 Introduction 390
11.5.2 Effective Transformation Strains 391
11.5.3 General Bounds and Dilute Estimates 393
12 Toughening in DZC by Crack Trapping 395
12.1 Introduction 395
12.2 Small Scale Crack Bridging 396
12.3 Crack Trapping by Second Phase Dispersion 402
12.3.1 Two Dimensional Crack Trapping Model 402
12.3.2 Three Dimensional Small Scale Crack Trapping . . 408
12.4 Crack Trapping by Transformable Second Phase
Dispersion 412
13 Toughening in DZC by Crack Deflection 425
13.1 Stress Intensity Factors at a Kinked Crack Tip 426
13.2 Interaction Between Crack Deflection and Phase
Transformation Mechanisms 429
13.3 Crack Deflection in a Zone of Non homogeneous
Transformable Particles 434
13.3.1 Computational Procedure 437
14 Fatigue Crack Growth in Transformation
Toughening Ceramics 443
14.1 Introduction 443
14.2 Fatigue Crack Growth From Small Surface Cracks in
Transformation Toughening Ceramics 444
14.2.1 Examples of Fatigue Crack Growth 446
14.3 Arrest of Fatigue Cracks in Transformation Toughened
Ceramics 453
14.4 Improved Endurance Limit of Zirconia Ceramics by
Overloading 459
15 Wear in ZTC 465
15.1 Experimental Observations of Wear in Zirconia Ceramics 465
15.1.1 Partially Stabilized Zirconia, PSZ 465
15.1.2 Tetragonal Zirconia Polycrystal, TZP 468
15.1.3 Zirconia Toughened Alumina, ZTA 469
15.2 Subsurface and Surface Cracks under Contact Loading in
Transformation Toughened Ceramics 470
xiv Contents
15.3 Mathematical Formulation 472
15.4 Subsurface Crack under Contact Loading 478
15.5 Surface Crack under Contact Loading 485
15.6 Concluding Remarks 497
Bibliography 501
Author Index 517
Subject Index 521
|
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| id | DE-604.BV011173315 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T14:25:50Z |
| institution | BVB |
| isbn | 0444819304 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007491465 |
| oclc_num | 34190523 |
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| owner_facet | DE-91G DE-BY-TUM DE-703 DE-83 |
| physical | XIV, 526 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Elsevier |
| record_format | marc |
| series | North-Holland series in applied mathematics and mechanics |
| series2 | North-Holland series in applied mathematics and mechanics |
| spellingShingle | Karihaloo, B. L. Andreasen, J. H. Mechanics of transformation toughening and related topics North-Holland series in applied mathematics and mechanics Mathematisches Modell Ceramic materials Thermomechanical properties Mathematical models Fracture mechanics Mathematical models Martensitic transformations Mathematical models Bruchmechanik (DE-588)4112837-0 gnd Martensitumwandlung (DE-588)4131050-0 gnd Zirkoniumoxidkeramik (DE-588)4280132-1 gnd Zähigkeit (DE-588)4067259-1 gnd |
| subject_GND | (DE-588)4112837-0 (DE-588)4131050-0 (DE-588)4280132-1 (DE-588)4067259-1 |
| title | Mechanics of transformation toughening and related topics |
| title_auth | Mechanics of transformation toughening and related topics |
| title_exact_search | Mechanics of transformation toughening and related topics |
| title_full | Mechanics of transformation toughening and related topics B. L. Karihaloo ; J. H. Andreasen |
| title_fullStr | Mechanics of transformation toughening and related topics B. L. Karihaloo ; J. H. Andreasen |
| title_full_unstemmed | Mechanics of transformation toughening and related topics B. L. Karihaloo ; J. H. Andreasen |
| title_short | Mechanics of transformation toughening and related topics |
| title_sort | mechanics of transformation toughening and related topics |
| topic | Mathematisches Modell Ceramic materials Thermomechanical properties Mathematical models Fracture mechanics Mathematical models Martensitic transformations Mathematical models Bruchmechanik (DE-588)4112837-0 gnd Martensitumwandlung (DE-588)4131050-0 gnd Zirkoniumoxidkeramik (DE-588)4280132-1 gnd Zähigkeit (DE-588)4067259-1 gnd |
| topic_facet | Mathematisches Modell Ceramic materials Thermomechanical properties Mathematical models Fracture mechanics Mathematical models Martensitic transformations Mathematical models Bruchmechanik Martensitumwandlung Zirkoniumoxidkeramik Zähigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007491465&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001900898 |
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