Mathematical problems in viscoelasticity:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow
Longman
1987
|
| Schriftenreihe: | Pitman Monographs and Surveys in Pure and Applied Mathematics
35 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 256 - 267 |
| Beschreibung: | 273 Seiten |
| ISBN: | 0582003202 0470207485 |
Internformat
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| 100 | 1 | |a Renardy, Michael |d 1955- |e Verfasser |0 (DE-588)142008257 |4 aut | |
| 245 | 1 | 0 | |a Mathematical problems in viscoelasticity |c Michael Renardy, William J. Hrusa and John A. Nohel |
| 264 | 1 | |a Harlow |b Longman |c 1987 | |
| 300 | |a 273 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman Monographs and Surveys in Pure and Applied Mathematics |v 35 | |
| 500 | |a Literaturverz. S. 256 - 267 | ||
| 650 | 4 | |a Deformations (Mechanics) | |
| 650 | 4 | |a Viscoelasticity | |
| 650 | 0 | 7 | |a Viskoelastizität |0 (DE-588)4063621-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Berechnung |0 (DE-588)4120997-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Viskoelastizität |0 (DE-588)4063621-5 |D s |
| 689 | 0 | 1 | |a Berechnung |0 (DE-588)4120997-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Hrusa, William J. |e Verfasser |4 aut | |
| 700 | 1 | |a Nohel, John A. |d 1924- |e Verfasser |0 (DE-588)118120921 |4 aut | |
| 830 | 0 | |a Pitman Monographs and Surveys in Pure and Applied Mathematics |v 35 |w (DE-604)BV000022446 |9 35 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001449519 | ||
Datensatz im Suchindex
| _version_ | 1804116661422260224 |
|---|---|
| adam_text | Contents
Preface
Notation for function spaces
O. Introduction 1
I. Continuum mechanics for viscoelastic materials
1. Kinematics and balance laws 11
2. General principles for constitutive laws 15
3. Constitutive models for viscoelastic materials 20
4. One-dimensional problems 24
II. Hyperbolicity and wave propagation
1. Introduction 28
2. Characteristics and change of type 30
3. Linear wave propagation 38
4. Development of singularities 56
5. Shock conditions, instantaneous elasticity, and hypoelasticity 73
6. Steady shock and acceleration waves in one dimension 76
III. Local existence results based on energy methods
1. Energy methods 81
2. Review of the elastic case 82
3. Viscoelastic materials of integral type 87
4. Incompressible nonlinear elasticity 101
5. A model problem with a singular memory function 118
IV. Global existence results
1. Introduction 134
2. Global existence for a parabolic problem 135
3. The damped wave equation 139
4. Viscoelastic materials of integral type 148
5. Three-dimensional motions of a K-BKZ fluid 171
6. A global existence result for large data 184
V. Applications of methods of semigroup theory
1. Review of linear evolution problems 194
2. Time-dependent coefficients and nonlinear problems 200
3. Various alternatives for treating memory terms 208
4. Linear viscoelasticity 212
5. A parabolic problem 217
6. A hyperbolic problem 222
7. Three-dimensional motions of Jeffreys-type materials 229
8. Three-dimensional motions of a K-BKZ fluid 237
VI. Steady flows of viscoelastic fluids
1. Introduction 244
2. Slow steady flows of a Maxwell fluid 246
3. Problems with inflow boundaries 249
4. The case of several relaxation modes 254
References 256
Index 268
|
| any_adam_object | 1 |
| author | Renardy, Michael 1955- Hrusa, William J. Nohel, John A. 1924- |
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| author_role | aut aut aut |
| author_sort | Renardy, Michael 1955- |
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| callnumber-subject | TA - General and Civil Engineering |
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| ctrlnum | (OCoLC)888968603 (DE-599)BVBBV002206485 |
| dewey-full | 620.1/1233 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/1233 |
| dewey-search | 620.1/1233 |
| dewey-sort | 3620.1 41233 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV002206485 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:03Z |
| institution | BVB |
| isbn | 0582003202 0470207485 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001449519 |
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| physical | 273 Seiten |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Longman |
| record_format | marc |
| series | Pitman Monographs and Surveys in Pure and Applied Mathematics |
| series2 | Pitman Monographs and Surveys in Pure and Applied Mathematics |
| spelling | Renardy, Michael 1955- Verfasser (DE-588)142008257 aut Mathematical problems in viscoelasticity Michael Renardy, William J. Hrusa and John A. Nohel Harlow Longman 1987 273 Seiten txt rdacontent n rdamedia nc rdacarrier Pitman Monographs and Surveys in Pure and Applied Mathematics 35 Literaturverz. S. 256 - 267 Deformations (Mechanics) Viscoelasticity Viskoelastizität (DE-588)4063621-5 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Viskoelastizität (DE-588)4063621-5 s Berechnung (DE-588)4120997-7 s DE-604 Hrusa, William J. Verfasser aut Nohel, John A. 1924- Verfasser (DE-588)118120921 aut Pitman Monographs and Surveys in Pure and Applied Mathematics 35 (DE-604)BV000022446 35 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001449519&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Renardy, Michael 1955- Hrusa, William J. Nohel, John A. 1924- Mathematical problems in viscoelasticity Pitman Monographs and Surveys in Pure and Applied Mathematics Deformations (Mechanics) Viscoelasticity Viskoelastizität (DE-588)4063621-5 gnd Berechnung (DE-588)4120997-7 gnd |
| subject_GND | (DE-588)4063621-5 (DE-588)4120997-7 |
| title | Mathematical problems in viscoelasticity |
| title_auth | Mathematical problems in viscoelasticity |
| title_exact_search | Mathematical problems in viscoelasticity |
| title_full | Mathematical problems in viscoelasticity Michael Renardy, William J. Hrusa and John A. Nohel |
| title_fullStr | Mathematical problems in viscoelasticity Michael Renardy, William J. Hrusa and John A. Nohel |
| title_full_unstemmed | Mathematical problems in viscoelasticity Michael Renardy, William J. Hrusa and John A. Nohel |
| title_short | Mathematical problems in viscoelasticity |
| title_sort | mathematical problems in viscoelasticity |
| topic | Deformations (Mechanics) Viscoelasticity Viskoelastizität (DE-588)4063621-5 gnd Berechnung (DE-588)4120997-7 gnd |
| topic_facet | Deformations (Mechanics) Viscoelasticity Viskoelastizität Berechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001449519&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022446 |
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