Differential models of hysteresis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1994
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| Series: | Applied mathematical sciences
111 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 407 S. graph. Darst. |
| ISBN: | 3540547932 0387547932 |
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| 100 | 1 | |a Visintin, Augusto |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Differential models of hysteresis |c Augusto Visintin |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a XI, 407 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text | Contents
Foreword vii
Introduction 1
Reader s Guide 7
Historical Notes 9
Part 1. Hysteresis Operators
Chapter I. Genesis of Hysteresis 12
1. What is Hysteresis? 12
2. Continuous Hysteresis 14
3. Catastrophic Hysteresis 17
4. Mean Field Theory of Ferromagnetism 20
5. Landau s Theory of Phase Transitions 23
6. Comments 29
Chapter II. Rheological and Circuital Models 32
1. Rheological Models 32
2. Elementary Rheological Models 35
3. Models of Damage 42
4. Circuital Models 49
5. Comments 58
Chapter III. Plays, Stops and Prandtl Ishlinskii Models 59
1. Hysteresis Operators 59
2. Plays 63
3. Stops 75
4. Prandtl Ishlinskii Models 83
5. Damage Operator 88
6. Memory Sequences 90
7. Comments 94
Chapter IV. The Preisach Model 97
1. The Preisach Operator 97
2. Geometry of the Preisach Plane 103
x Contents
3. Continuity Properties of the Preisach Operator 112
4. Inverse Preisach Operator 119
5. Vectorial Preisach Models 122
6. Hysteresis and Laziness 126
7. Comments 128
Chapter V. The Duhem Model 130
1. Standard Duhem Model 131
2. Generalized Duhem Model 141
3. Vectorial Duhem Model 145
4. Comparison of Hysteresis Models 147
5. Comments 149
Chapter VI. Discontinuous Hysteresis 151
1. Completed Delayed Relay Operator 151
2. Weak Formulation of Delayed Relay Operators 161
3. Double Inclusions and Hysteresis 168
4. Differential Plays and Differential Stops 173
5. Discontinuous Hysteresis with Vector Input 176
6. Comments 184
Part 2. Partial Differential Equations with Hysteresis
Chapter VII. P.D.E. Models of Elasto Plasticity 186
1. Prandtl Ishlinskii Operator of Stop Type 186
2. Prandtl Ishlinskii Operator of Play Type 197
3. A Problem in Elasto Visco Plasticity 204
4. Comments 208
Chapter VIII. Hysteresis and Semigroups 211
1. Some Equations with Hysteresis 212
2. Accretive Operators Related to Hysteresis 225
3. Space Structured Systems 233
4. Another Class of Accretive Operators 241
5. Order and Approximation Properties 247
6. Application to Hysteresis Models 250
7. Comments 255
Chapter IX. Quasilinear P.D.E.s with Memory 257
1. Quasilinear Parabolic Equations with Memory 258
2. Quasilinear Parabolic Equations with Hysteresis 272
3. Other Quasilinear Equations 280
4. Asymptotic Results 287
5. Krejcf s Estimate 290
6. Comments 292
Contents xi
Chapter X. Semilinear P.D.E.s with Memory 295
1. Semilinear Parabolic Equations with Memory 296
2. Other Semilinear Equations 305
3. Minimum and Maximum Solutions 312
4. First Order Hyperbolic Equations with Memory 316
5. Travelling Waves 320
6. Comments 324
Chapter XI. P.D.E.s with Discontinuous Hysteresis 325
1. Genesis of O.D.E.s with Hysteresis 326
2. Genesis of P.D.E.s with Hysteresis 330
3. Quasilinear Parabolic P.D.E.s with Discontinuous Hysteresis 334
4. Another Estimation Procedure 339
5. Semilinear Parabolic P.D.E.s with Discontinuous Hysteresis 343
6. Quasilinear Hyperbolic Equations with Hysteresis 346
7. Homogenization of the Preisach Model 353
8. A Biological Problem with Hysteresis 356
9. Summary of Results for P.D.E.s with Memory 357
10. Comments 359
Appendix
Chapter XII. Some Tools 362
1. Some Function Spaces 362
2. Spaces of Functions with Values in Banach Spaces 363
3. Some Spaces of Operators 369
4. Nonlinear Semigroups of Contractions 370
5. Elements of Convex Analysis 374
6. Order Preserving Mappings 378
7. Strict Convergence in BV(0,T) 381
8. Comments 388
Conclusion 389
Bibliography 391
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:43:31Z |
| institution | BVB |
| isbn | 3540547932 0387547932 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006582970 |
| oclc_num | 438892449 |
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| physical | XI, 407 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Visintin, Augusto Verfasser aut Differential models of hysteresis Augusto Visintin Berlin u.a. Springer 1994 XI, 407 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 111 Hysterese (DE-588)4132813-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Hysterese (DE-588)4132813-9 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Mathematisches Modell (DE-588)4114528-8 s Applied mathematical sciences 111 (DE-604)BV000005274 111 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006582970&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Visintin, Augusto Differential models of hysteresis Applied mathematical sciences Hysterese (DE-588)4132813-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4132813-9 (DE-588)4044779-0 (DE-588)4114528-8 |
| title | Differential models of hysteresis |
| title_auth | Differential models of hysteresis |
| title_exact_search | Differential models of hysteresis |
| title_full | Differential models of hysteresis Augusto Visintin |
| title_fullStr | Differential models of hysteresis Augusto Visintin |
| title_full_unstemmed | Differential models of hysteresis Augusto Visintin |
| title_short | Differential models of hysteresis |
| title_sort | differential models of hysteresis |
| topic | Hysterese (DE-588)4132813-9 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Hysterese Partielle Differentialgleichung Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006582970&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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