Dynamic fracture mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2004
|
| Edition: | 1. paperback ed., transferred to digital printing |
| Series: | Cambridge monographs on mechanics and applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVII, 563 S. graph. Darst. |
| ISBN: | 0521303303 0521629225 |
Staff View
MARC
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| 100 | 1 | |a Freund, Lambert B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamic fracture mechanics |c L. B. Freund |
| 250 | |a 1. paperback ed., transferred to digital printing | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2004 | |
| 300 | |a XVII, 563 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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Record in the Search Index
| _version_ | 1804143480503533568 |
|---|---|
| adam_text | CONTENTS
Preface
xi
List of symbols
xiv
1
Background and overview
1
1.1
Introduction
1
1.1.1
Inerţial
effects in fracture mechanics
2
1.1.2
Historical origins
3
1.2
Continuum mechanics
13
1.2.1
Notation
13
1.2.2
Balance equations
16
1.2.3
Linear elastodynamics
22
1.2.4
Inelastic materials
29
1.3
Analytic functions and Laplace transforms
30
1.3.1
Analytic functions of a complex variable
30
1.3.2
Laplace transforms
33
1.4
Overview of dynamic fracture mechanics
37
1.4.1
Basic elastodynamic solutions for a
stationary crack
38
1.4.2
Further results for a stationary crack
40
1.4.3
Asymptotic fields near a moving crack tip
42
1.4.4
Energy concepts in dynamic fracture
44
1.4.5
Elastic crack growth at constant speed
47
1.4.6
Elastic crack growth at
nonuniform
speed
49
1.4.7
Plasticity and rate effects during crack growth
52
2
Basic elastodynamic solutions for a stationary crack
55
2.1
Introduction
55
2.2
Suddenly applied
antiplane
shear loading
60
2.3
Green s method of solution
65
vi
Contents
2.4
Suddenly applied crack face pressure
72
2.5
The
Wiener-Hopf
technique
77
2.5.1
Application of integral transforms
78
2.5.2
The
Wiener-Hopf
factorization
84
2.5.3
Inversion of the transforms
91
2.5.4
Higher order terms
96
2.6
Suddenly applied in-plane shear traction
97
2.7
Loading with arbitrary time dependence
100
3
Further results for a stationary crack
104
3.1
Introduction
104
3.2
Nonuniform
crack face traction
106
3.2.1
Suddenly applied concentrated loads
107
3.2.2
Fundamental solution for a moving dislocation
110
3.2.3
The stress intensity factor history
112
3.3
Sudden loading of a crack of finite length
117
3.4
Three-dimensional scattering of a pulse by a crack
123
3.5
Three-dimensional stress intensity factors
131
3.6
Fracture initiation due to dynamic loading
140
3.6.1
The
Irwin
criterion
140
3.6.2
Qualitative observations
141
3.6.3
Experimental results
144
4
Asymptotic fields near a moving crack tip
152
4.1
Introduction
152
4.2
Elastic material;
antiplane
shear
155
4.3
Elastic material; in-plane modes of deformation
160
4.3.1
Singular field for mode I
161
4.3.2
Higher order terms for mode I
169
4.3.3
Singular field for mode II
170
4.3.4
Supersonic crack tip speed
171
4.4
Elastic-ideally plastic material;
antiplane
shear
175
4.4.1
Asymptotic fields for steady dynamic growth
178
4.4.2
Comparison with equilibrium results
182
4.5
Elastic-ideally plastic material; plane strain
184
4.5.1
Asymptotic field in plastically deforming regions
187
4.5.2
A complete solution
190
4.5.3
Other possible solutions
194
4.5.4
Discontinuities
197
4.5.5
Elastic sectors
202
4.6
Elastic-viscous material
206
Contents
vii
4.6.1 Antiplane
shear crack tip field
207
4.6.2
Plane strain crack tip field
214
4.7
Elastic-viscoplastic material;
antiplane
shear
215
5
Energy concepts in dynamic fracture
221
5.1
Introduction
221
5.2
The crack tip energy flux integral
224
5.2.1
The energy flux integral for plane deformation
224
5.2.2
Some properties of F(T)
227
5.3
Elastodynamic crack growth
231
5.3.1
Dynamic energy release rate
231
5.3.2
Cohesive zone models of crack tip behavior
235
5.3.3
Special forms for numerical computation
240
5.4
Steady crack growth in a strip
243
5.4.1
Strip with uniform normal edge displacement
243
5.4.2
Shear crack with a cohesive zone in a strip
247
5.5
Elementary applications in structural mechanics
250
5.5.1
A one-dimensional string model
250
5.5.2
Double cantilever beam configuration
254
5.5.3
Splitting of a beam with a wedge
257
5.5.4
Steady crack growth in a plate under bending
261
5.5.5
Crack growth in a pressurized cylindrical shell
262
5.6
A path-independent integral for transient loading
264
5.6.1
The path-independent integral
264
5.6.2
Relationship to stress intensity factor
269
5.6.3
An application
271
5.7
The transient weight function method
274
5.7.1
The weight function based on a particular
solution
274
5.7.2
A boundary value problem for the weight
function
280
5.8
Energy radiation from an expanding crack
289
β
Elastic crack growth at constant speed
296
6.1
Introduction
296
6.2
Steady dynamic crack growth
298
6.2.1
General solution procedure
299
6.2.2
The Yoffe problem
300
6.2.3
Concentrated shear traction on the crack faces
305
6.2.4
Superposition and cohesive zone models
306
6.2.5
Approach to the steady state
310
viii Contents
6.3
Self-similar dynamic crack growth
313
6.3.1
General solution procedure
314
6.3.2
The
Broberg
problem
318
6.3.3
Symmetric expansion of a shear crack
330
6.3.4
Nonsymmetric crack expansion
334
6.3.5
Expansion of circular and elliptical cracks
336
6.4
Crack growth due to general time-independent loading
340
6.4.1
The fundamental solution
342
6.4.2
Arbitrary initial equilibrium field
350
6.4.3
Some illustrative cases
353
6.4.4
The in-plane shear mode of crack growth
355
6.4.5
The
antiplane
shear mode of crack growth
356
6.5
Crack growth due to time-dependent loading
356
6.5.1
The fundamental solution
358
6.5.2
Arbitrary delay time with crack face pressure
362
6.5.3
Incident plane stress pulse
365
7
Elastic crack growth at
nonuniform
speed
367
7.1
Introduction
367
7.2 Antiplane
shear crack growth
369
7.3
Plane strain crack growth
378
7.3.1
Suddenly stopping crack
379
7.3.2
Arbitrary crack tip motion
387
7.3.3
In-plane shear crack growth
392
7.4
Crack tip equation of motion
393
7.4.1
Tensile crack growth
395
7.4.2
Fine-scale periodic fracture resistance
401
7.4.3
Propagation and arrest of a mode II crack
407
7.4.4
A one-dimensional string model
410
7.4.5
Double cantilever beam: approximate equation
of motion
421
7.5
Tensile crack growth under transient loading
426
7.5.1
Incident plane stress pulse
426
7.5.2
An influence function for general loading
431
7.6
Rapid expansion of a strip yield zone
432
7.7
Uniqueness of elastodynamic crack growth solutions
437
8
Plasticity and rate effects during crack growth
442
8.1
Introduction
442
8.2
Viscoelastic crack growth
442
8.3
Steady crack growth in an elastic-plastic material
448
Contents ix
8.3.1
Plastic
strain on the crack line
451
8.3.2
A growth criterion
459
8.3.3
A formulation for the complete field
461
8.3.4
The toughness-speed relationship
465
8.3.5
The steady state assumption
467
8.4
High strain rate crack growth in a plastic solid
469
8.4.1
High strain rate plasticity
470
8.4.2
Steady crack growth with small-scale yielding
474
8.4.3
An approximate analysis
477
8.4.4
Rate effects and crack arrest
481
8.5
Fracture mode transition due to rate effects
485
8.5.1
Formulation
486
8.5.2
A rate-dependent cohesive zone
488
8.5.3
The crack growth criteria
494
8.6
Ductile void growth
498
8.6.1
Spherical expansion of a void
500
8.6.2
A more general model
506
8.7 Microcracking
and fragmentation
508
8.7.1
Overall energy considerations
509
8.7.2
Time-dependent strength under pulse loading
512
Bibliography
521
Index
559
|
| any_adam_object | 1 |
| author | Freund, Lambert B. |
| author_facet | Freund, Lambert B. |
| author_role | aut |
| author_sort | Freund, Lambert B. |
| author_variant | l b f lb lbf |
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| ctrlnum | (OCoLC)315907931 (DE-599)BVBBV036791298 |
| dewey-full | 620.1126015118 620.1126 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1126015118 620.1126 |
| dewey-search | 620.1126015118 620.1126 |
| dewey-sort | 3620.1126015118 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| edition | 1. paperback ed., transferred to digital printing |
| format | Book |
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| id | DE-604.BV036791298 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:48:11Z |
| institution | BVB |
| isbn | 0521303303 0521629225 |
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| physical | XVII, 563 S. graph. Darst. |
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| publisher | Cambridge Univ. Press |
| record_format | marc |
| series2 | Cambridge monographs on mechanics and applied mathematics |
| spelling | Freund, Lambert B. Verfasser aut Dynamic fracture mechanics L. B. Freund 1. paperback ed., transferred to digital printing Cambridge [u.a.] Cambridge Univ. Press 2004 XVII, 563 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mechanics and applied mathematics Bruchmechanik (DE-588)4112837-0 gnd rswk-swf Bruchmechanik (DE-588)4112837-0 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020707705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Freund, Lambert B. Dynamic fracture mechanics Bruchmechanik (DE-588)4112837-0 gnd |
| subject_GND | (DE-588)4112837-0 |
| title | Dynamic fracture mechanics |
| title_auth | Dynamic fracture mechanics |
| title_exact_search | Dynamic fracture mechanics |
| title_full | Dynamic fracture mechanics L. B. Freund |
| title_fullStr | Dynamic fracture mechanics L. B. Freund |
| title_full_unstemmed | Dynamic fracture mechanics L. B. Freund |
| title_short | Dynamic fracture mechanics |
| title_sort | dynamic fracture mechanics |
| topic | Bruchmechanik (DE-588)4112837-0 gnd |
| topic_facet | Bruchmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020707705&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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