Crack Problems in the classical theory of elasticity
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1969
|
| Schriftenreihe: | The SIAM series in applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Sneddon, Ian Naismith |d 1919-2000 |e Verfasser |0 (DE-588)121675343 |4 aut | |
| 245 | 1 | 0 | |a Crack Problems in the classical theory of elasticity |c Ian N. Sneddon ; M. Lowengrub |
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1969 | |
| 300 | |a VIII, 221 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a The SIAM series in applied mathematics | |
| 650 | 7 | |a Matériaux - Fissuration |2 ram | |
| 650 | 7 | |a Rupture, Mécanique de la |2 ram | |
| 650 | 7 | |a Élasticité |2 ram | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Elastic solids | |
| 650 | 4 | |a Fracture mechanics | |
| 650 | 0 | 7 | |a Rissbildung |0 (DE-588)4050137-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elastizitätstheorie |0 (DE-588)4123124-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Bruchmechanik |0 (DE-588)4112837-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Elastizitätstheorie |0 (DE-588)4123124-7 |D s |
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| 689 | 1 | 0 | |a Rissbildung |0 (DE-588)4050137-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Bruchmechanik |0 (DE-588)4112837-0 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Lowengrub, Morton |e Verfasser |4 aut | |
| 710 | 2 | |a Society for Industrial and Applied Mathematics |e Sonstige |0 (DE-588)5862-2 |4 oth | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0739 C.15.74 |
|---|---|
| DE-BY-TUM_katkey | 376843 |
| DE-BY-TUM_location | LSB |
| DE-BY-TUM_media_number | TEMP3145237 |
| _version_ | 1820892236386140160 |
| adam_text | Contents
Chapter 1 Introduction
1.1 Introduction 1
1.2 The Basic Equations 10
1.3 Solution in Terms of Potential Functions 12
1.4 Two Dimensional Problems 13
1.5 The Kolosov Muskhelishvili Formulas 14
1.6 The Westergaard Formulas 16
1.7 Solution of Plane Dynamical Equations 17
Chapter 2 Two Dimensional Crack Problems
2.1 The Griffith Crack 19
2.2 Solution of the Elliptic Hole Problem 22
2.3 Solution of the Half Plane Problem: Mode I Displacement 25
2.4 Griffith Crack Opened Under Constant Pressure 28
2.5 Solution of the Half Plane Problem: Mode II Displacement 32
2.6 Solution of the Half Plane Problem: Mode III Displacement 37
2.7 Reduction of a Crack Problem to the Hilbert Problem 39
2.8 Two Equal Collinear Griffith Cracks 40
2.9 Infinite Row of Collinear Cracks 47
2.10 Infinite Row of Parallel Cracks 57
2.11 Cracks in a Strip with Stress Free Edges 62
2.12 The Distribution of Stress in the Neighborhood of an
External Crack 72
2.13 The Distribution of Pressure Necessary to Produce a Griffith
Crack of Prescribed Shape 77
vii
Viii CONTENTS
2.14 Stress Distribution in a Notched Plate 81
2.15 Radial Cracks Originating at the Boundary of an Internal
Circular Hole 88
2.16 Star Cracks under Pressure 102
2.17 An Electrical Analogue Solution of Crack Problems 106
2.18 Related Two Dimensional Problems 110
2.19 Dynamical Problems 118
2.20 Cohesive Forces at the Tips of a Griffith Crack 127
Chapter 3 Three Dimensional Crack Problems
3.1 The Penny Shaped Crack 130
3.2 Solution of the Half Plane Problem for a Penny Shaped Crack 135
3.3 Penny Shaped Crack Opened up by Constant Pressure 138
3.4 Other Methods of Solving the Problem of the
Penny Shaped Crack 144
3.5 Penny Shaped Crack in a Solid under Shear 155
3.6 Penny Shaped Crack in a Solid under Torsion 158
3.7 Thermal Stresses around a Penny Shaped Crack 160
3.8 The Flat Elliptical Crack 169
3.9 The Stress in the Vicinity of an External Crack 173
3.10 Penny Shaped Crack in a Thick Plate 187
3.11 The Effect of a Penny Shaped Crack on the Distribution of
Stress in a Long Circular Cylinder under Tension 193
3.12 Cohesive Forces at the Rim of a Penny Shaped Crack 206
References 209
Index 219
|
| any_adam_object | 1 |
| author | Sneddon, Ian Naismith 1919-2000 Lowengrub, Morton |
| author_GND | (DE-588)121675343 |
| author_facet | Sneddon, Ian Naismith 1919-2000 Lowengrub, Morton |
| author_role | aut aut |
| author_sort | Sneddon, Ian Naismith 1919-2000 |
| author_variant | i n s in ins m l ml |
| building | Verbundindex |
| bvnumber | BV002279165 |
| callnumber-first | Q - Science |
| callnumber-label | QA935 |
| callnumber-raw | QA935 |
| callnumber-search | QA935 |
| callnumber-sort | QA 3935 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)48675 (DE-599)BVBBV002279165 |
| dewey-full | 531/.38 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.38 |
| dewey-search | 531/.38 |
| dewey-sort | 3531 238 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV002279165 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T10:33:40Z |
| institution | BVB |
| institution_GND | (DE-588)5862-2 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001497595 |
| oclc_num | 48675 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-29T DE-83 DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-83 DE-11 |
| physical | VIII, 221 S. |
| psigel | HUB-ZB011201110 |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Wiley |
| record_format | marc |
| series2 | The SIAM series in applied mathematics |
| spellingShingle | Sneddon, Ian Naismith 1919-2000 Lowengrub, Morton Crack Problems in the classical theory of elasticity Matériaux - Fissuration ram Rupture, Mécanique de la ram Élasticité ram Boundary value problems Elastic solids Fracture mechanics Rissbildung (DE-588)4050137-1 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Bruchmechanik (DE-588)4112837-0 gnd |
| subject_GND | (DE-588)4050137-1 (DE-588)4123124-7 (DE-588)4112837-0 |
| title | Crack Problems in the classical theory of elasticity |
| title_auth | Crack Problems in the classical theory of elasticity |
| title_exact_search | Crack Problems in the classical theory of elasticity |
| title_full | Crack Problems in the classical theory of elasticity Ian N. Sneddon ; M. Lowengrub |
| title_fullStr | Crack Problems in the classical theory of elasticity Ian N. Sneddon ; M. Lowengrub |
| title_full_unstemmed | Crack Problems in the classical theory of elasticity Ian N. Sneddon ; M. Lowengrub |
| title_short | Crack Problems in the classical theory of elasticity |
| title_sort | crack problems in the classical theory of elasticity |
| topic | Matériaux - Fissuration ram Rupture, Mécanique de la ram Élasticité ram Boundary value problems Elastic solids Fracture mechanics Rissbildung (DE-588)4050137-1 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Bruchmechanik (DE-588)4112837-0 gnd |
| topic_facet | Matériaux - Fissuration Rupture, Mécanique de la Élasticité Boundary value problems Elastic solids Fracture mechanics Rissbildung Elastizitätstheorie Bruchmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001497595&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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