Variational methods in nonlinear elasticity:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Philadelphia, PA
Soc. for Industrial and Applied Mathematics
2000
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 99 S. |
| ISBN: | 0898714524 |
Staff View
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| adam_text | Contents
Preface ix
1 Elastic Materials and Variational Principles 1
1.1 Introduction 1
1.2 The Stress Principle and the Cauchy Theorem 2
1.3 Elastic and Hyperelastic Materials 4
1.4 Examples of Hyperelastic Materials 5
1.5 Appendix: Some Linear Algebra and Geometry 6
2 Quasi Convexity and Young Measures 9
2.1 Introduction 9
2.2 The Direct Method 10
2.3 Young Measures 12
2.4 Weak Lower Semicontinuity 16
2.5 Quasi Convexity and Gradient Young Measures 18
2.6 A General Existence Theorem 19
2.7 The Case p = +oo 21
2.8 Appendix 22
3 Polyconvexity and Existence Theorems 25
3.1 Introduction 25
3.2 Polyconvexity 25
3.3 Coercivity and the Case p oo 31
3.4 Existence Theorems 32
3.5 Hyperelastic Materials 34
4 Rank one Convexity and Microstructure 41
4.1 Introduction 41
4.2 Elastic Crystals 41
4.3 Lack of Quasi Convexity 43
4.4 Generalized Variational Principles 46
4.5 Laminates 47
4.6 The Two Well Problem 50
4.7 Continuously Distributed Laminates 59
vii
viii Contents
5 Technical Remarks 63
5.1 Introduction 63
5.2 The Existence Theorem for Young Measures 63
5.3 Biting, Weak, and Strong Convergence 67
5.4 Homogenization and Localization 70
5.5 A Remarkable Lemma 74
Bibliographical Comments 77
Bibliography 81
Index 97
|
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| indexdate | 2024-07-09T18:51:23Z |
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| language | English |
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| physical | XI, 99 S. |
| publishDate | 2000 |
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| spelling | Pedregal, Pablo Verfasser aut Variational methods in nonlinear elasticity Pablo Pedregal Philadelphia, PA Soc. for Industrial and Applied Mathematics 2000 XI, 99 S. txt rdacontent n rdamedia nc rdacarrier Calcul des variations ram Théories non linéaires ram Élasticité ram Calculus of variations Elasticity Nonlinear theories Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Nichtlineare Elastizitätstheorie (DE-588)4171750-8 s Variationsrechnung (DE-588)4062355-5 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009401411&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pedregal, Pablo Variational methods in nonlinear elasticity Calcul des variations ram Théories non linéaires ram Élasticité ram Calculus of variations Elasticity Nonlinear theories Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4171750-8 (DE-588)4062355-5 |
| title | Variational methods in nonlinear elasticity |
| title_auth | Variational methods in nonlinear elasticity |
| title_exact_search | Variational methods in nonlinear elasticity |
| title_full | Variational methods in nonlinear elasticity Pablo Pedregal |
| title_fullStr | Variational methods in nonlinear elasticity Pablo Pedregal |
| title_full_unstemmed | Variational methods in nonlinear elasticity Pablo Pedregal |
| title_short | Variational methods in nonlinear elasticity |
| title_sort | variational methods in nonlinear elasticity |
| topic | Calcul des variations ram Théories non linéaires ram Élasticité ram Calculus of variations Elasticity Nonlinear theories Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Calcul des variations Théories non linéaires Élasticité Calculus of variations Elasticity Nonlinear theories Nichtlineare Elastizitätstheorie Variationsrechnung |
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