Applied solid mechanics:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge texts in applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XIV, 452 S. graph. Darst. |
| ISBN: | 9780521854894 9780521671095 |
Internformat
MARC
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| 020 | |a 9780521854894 |c hardback : alk. paper |9 978-0-521-85489-4 | ||
| 020 | |a 9780521671095 |c paperback : alk. paper |9 978-0-521-67109-5 | ||
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| 100 | 1 | |a Howell, Peter |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Applied solid mechanics |c Peter Howell ; Gregory Kozyreff ; John Ockendon |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2009 | |
| 300 | |a XIV, 452 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cambridge texts in applied mathematics | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Materials |x Mechanical properties | |
| 650 | 4 | |a Deformations (Mechanics) | |
| 650 | 4 | |a Elastic solids | |
| 650 | 0 | 7 | |a Festkörpermechanik |0 (DE-588)4129367-8 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Kozyreff, Gregory |e Verfasser |4 aut | |
| 700 | 1 | |a Ockendon, John |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016807261&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804138123616059392 |
|---|---|
| adam_text | Contents
List of illustrations
page
viii
Prologue
xiii
Modelling solids
1
1.1
Introduction
1
1.2
Hooke s law
2
1.3
Lagrangian and Eulerian coordinates
3
1.4
Strain
4
1.5
Stress
7
1.6
Conservation of momentum
10
1.7
Linear elasticity
11
1.8
The incompressibility approximation
13
1.9
Energy
14
1.10
Boundary conditions and well-posedness
16
1.11
Coordinate systems
19
Exercises
24
Linear elastostatics
28
2.1
Introduction
28
2.2
Linear displacements
29
2.3 Antiplane
strain
37
2.4
Torsion
39
2.5
Multiply-connected domains
42
2.6
Plane strain
47
2.7
Compatibility
68
2.8
Generalised stress functions
70
2.9
Singular solutions in elastostatics
82
2.10
Concluding remark
93
Exercises
93
vi
Contents
Linear elastodynamics
103
3.1
Introduction
ЮЗ
3.2
Normal modes and plane waves
104
3.3
Dynamic
stress
functions
121
3.4
Waves
in cylinders and spheres
124
3.5
Initial-value problems
132
3.6
Moving singularities
138
3.7
Concluding remarks
143
Exercises
143
Approximate theories
150
4.1
Introduction
150
4.2
Longitudinal displacement of a bar
151
4.3
Transverse displacements of a string
152
4.4
Transverse displacements of a beam
153
4.5
Linear rod theory
158
4.6
Linear plate theory
162
4.7 Von
Karman
plate theory
172
4.8
Weakly curved shell theory
177
4.9
Nonlinear beam theory
187
4.10
Nonlinear rod theory
195
4.11
Geometrically nonlinear wave propagation
198
4.12
Concluding remarks
204
Exercises
205
Nonlinear elasticity
215
5.1
Introduction
215
5.2
Stress and strain revisited
216
5.3
The constitutive relation
221
5.4
Examples
233
5.5
Concluding remarks
239
Exercises
239
Asymptotic analysis
245
6.1
Introduction
245
6.2 Antiplane
strain in a thin plate
246
6.3
The linear plate equation
248
6.4
Boundary conditions and Saint-Venant s principle
253
6.5
The
von
Karman
plate equations
261
6.6
The Euler-Beraoulli plate equations
267
6.7
The linear rod equations
273
6.8
Linear shell theory
278
Contents
vii
6.9
Concluding remarks
282
Exercises
283
Fracture and contact
287
7.1
Introduction
287
7.2
Static brittle fracture
288
7.3
Contact
309
7.4
Concluding remarks
320
Exercises
321
Plasticity
328
8.1
Introduction
328
8.2
Models for granular material
330
8.3
Dislocation theory
337
8.4
Perfect plasticity theory for metals
344
8.5
Kinematics
358
8.6
Conservation of momentum
360
8.7
Conservation of energy
360
8.8
The flow rule
362
8.9
Simultaneous elasticity and plasticity
364
8.10
Examples
365
8.11
Concluding remarks
370
Exercises
372
More general theories
378
9.1
Introduction
378
9.2
Viscoelasticity
379
9.3
Thermoelasticity
388
9.4
Composite materials and homogenisation
391
9.5
Poroelasticity
408
9.6
Anisotropy
413
9.7
Concluding remarks
417
Exercises
417
Epilogue
426
Appendix Orthogonal curvilinear coordinates
428
References
440
Index
442
|
| adam_txt |
Contents
List of illustrations
page
viii
Prologue
xiii
Modelling solids
1
1.1
Introduction
1
1.2
Hooke's law
2
1.3
Lagrangian and Eulerian coordinates
3
1.4
Strain
4
1.5
Stress
7
1.6
Conservation of momentum
10
1.7
Linear elasticity
11
1.8
The incompressibility approximation
13
1.9
Energy
14
1.10
Boundary conditions and well-posedness
16
1.11
Coordinate systems
19
Exercises
24
Linear elastostatics
28
2.1
Introduction
28
2.2
Linear displacements
29
2.3 Antiplane
strain
37
2.4
Torsion
39
2.5
Multiply-connected domains
42
2.6
Plane strain
47
2.7
Compatibility
68
2.8
Generalised stress functions
70
2.9
Singular solutions in elastostatics
82
2.10
Concluding remark
93
Exercises
93
vi
Contents
Linear elastodynamics
103
3.1
Introduction
ЮЗ
3.2
Normal modes and plane waves
104
3.3
Dynamic
stress
functions
121
3.4
Waves
in cylinders and spheres
124
3.5
Initial-value problems
132
3.6
Moving singularities
138
3.7
Concluding remarks
143
Exercises
143
Approximate theories
150
4.1
Introduction
150
4.2
Longitudinal displacement of a bar
151
4.3
Transverse displacements of a string
152
4.4
Transverse displacements of a beam
153
4.5
Linear rod theory
158
4.6
Linear plate theory
162
4.7 Von
Karman
plate theory
172
4.8
Weakly curved shell theory
177
4.9
Nonlinear beam theory
187
4.10
Nonlinear rod theory
195
4.11
Geometrically nonlinear wave propagation
198
4.12
Concluding remarks
204
Exercises
205
Nonlinear elasticity
215
5.1
Introduction
215
5.2
Stress and strain revisited
216
5.3
The constitutive relation
221
5.4
Examples
233
5.5
Concluding remarks
239
Exercises
239
Asymptotic analysis
245
6.1
Introduction
245
6.2 Antiplane
strain in a thin plate
246
6.3
The linear plate equation
248
6.4
Boundary conditions and Saint-Venant's principle
253
6.5
The
von
Karman
plate equations
261
6.6
The Euler-Beraoulli plate equations
267
6.7
The linear rod equations
273
6.8
Linear shell theory
278
Contents
vii
6.9
Concluding remarks
282
Exercises
283
Fracture and contact
287
7.1
Introduction
287
7.2
Static brittle fracture
288
7.3
Contact
309
7.4
Concluding remarks
320
Exercises
321
Plasticity
328
8.1
Introduction
328
8.2
Models for granular material
330
8.3
Dislocation theory
337
8.4
Perfect plasticity theory for metals
344
8.5
Kinematics
358
8.6
Conservation of momentum
360
8.7
Conservation of energy
360
8.8
The flow rule
362
8.9
Simultaneous elasticity and plasticity
364
8.10
Examples
365
8.11
Concluding remarks
370
Exercises
372
More general theories
378
9.1
Introduction
378
9.2
Viscoelasticity
379
9.3
Thermoelasticity
388
9.4
Composite materials and homogenisation
391
9.5
Poroelasticity
408
9.6
Anisotropy
413
9.7
Concluding remarks
417
Exercises
417
Epilogue
426
Appendix Orthogonal curvilinear coordinates
428
References
440
Index
442 |
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| discipline | Physik Mathematik |
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| edition | 1. publ. |
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| id | DE-604.BV035139854 |
| illustrated | Illustrated |
| index_date | 2024-07-02T22:26:46Z |
| indexdate | 2024-07-09T21:23:11Z |
| institution | BVB |
| isbn | 9780521854894 9780521671095 |
| language | English |
| lccn | 2008032880 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016807261 |
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| series2 | Cambridge texts in applied mathematics |
| spelling | Howell, Peter Verfasser aut Applied solid mechanics Peter Howell ; Gregory Kozyreff ; John Ockendon 1. publ. Cambridge Cambridge University Press 2009 XIV, 452 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge texts in applied mathematics Includes bibliographical references and index Materials Mechanical properties Deformations (Mechanics) Elastic solids Festkörpermechanik (DE-588)4129367-8 gnd rswk-swf Festkörpermechanik (DE-588)4129367-8 s DE-604 Kozyreff, Gregory Verfasser aut Ockendon, John Verfasser aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016807261&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Howell, Peter Kozyreff, Gregory Ockendon, John Applied solid mechanics Materials Mechanical properties Deformations (Mechanics) Elastic solids Festkörpermechanik (DE-588)4129367-8 gnd |
| subject_GND | (DE-588)4129367-8 |
| title | Applied solid mechanics |
| title_auth | Applied solid mechanics |
| title_exact_search | Applied solid mechanics |
| title_exact_search_txtP | Applied solid mechanics |
| title_full | Applied solid mechanics Peter Howell ; Gregory Kozyreff ; John Ockendon |
| title_fullStr | Applied solid mechanics Peter Howell ; Gregory Kozyreff ; John Ockendon |
| title_full_unstemmed | Applied solid mechanics Peter Howell ; Gregory Kozyreff ; John Ockendon |
| title_short | Applied solid mechanics |
| title_sort | applied solid mechanics |
| topic | Materials Mechanical properties Deformations (Mechanics) Elastic solids Festkörpermechanik (DE-588)4129367-8 gnd |
| topic_facet | Materials Mechanical properties Deformations (Mechanics) Elastic solids Festkörpermechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016807261&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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