Lectures on three-dimensional elasticity: lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1983
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| Schriftenreihe: | TATA Institute of Fundamental Research lectures on mathematics and physics
Mathematics ; 71 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 149 S. |
| ISBN: | 3540123318 0387123318 |
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Datensatz im Suchindex
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| adam_text | CONTENTS
Avant Propos .. .. 1
CHAPTER 1. DESCRIPTION OF THREE DIMENSIONAL ELASTICITY 3
1.1 Geometrical Preliminaries .. 3
1.2 Equilibrium Equations .. 11
1.3 Constitutive Equations .. 24
1.4 Hyperelasticity .. .. 45
CHAPTER 2. SOME MATHEMATICAL ASPECTS OF THREE
DIMENSIONAL ELASTICITY .. 63
2.1 General Considerations about the Boundary Value
Problems of Three Dimensional Elasticity .. 64
2.2 The Linearized System of Elasticity .. 75
2.3 Existence Theorems via the Implicit Function Theorem 82
2.4 Convergence of Semi discrete Incremental Methods 96
2.5 An Existence Theorem for Minimizing Functionals
and Outline of its Application to Non linear Elasticity 101
2.6 J. Ball s Polyconvexity and Existence Theorems in
Three Dimensional Elasticity 107
Bibliography, Comments and some Open Problems .. 128
References .. .. 134
List of notations .. .. 141
Index .. .. 147
|
| adam_txt |
CONTENTS
Avant Propos . . 1
CHAPTER 1. DESCRIPTION OF THREE DIMENSIONAL ELASTICITY 3
1.1 Geometrical Preliminaries . 3
1.2 Equilibrium Equations . 11
1.3 Constitutive Equations . 24
1.4 Hyperelasticity . . 45
CHAPTER 2. SOME MATHEMATICAL ASPECTS OF THREE
DIMENSIONAL ELASTICITY . 63
2.1 General Considerations about the Boundary Value
Problems of Three Dimensional Elasticity . 64
2.2 The Linearized System of Elasticity . 75
2.3 Existence Theorems via the Implicit Function Theorem 82
2.4 Convergence of Semi discrete Incremental Methods 96
2.5 An Existence Theorem for Minimizing Functionals
and Outline of its Application to" Non linear Elasticity 101
2.6 J. Ball's Polyconvexity and Existence Theorems in
Three Dimensional Elasticity 107
Bibliography, Comments and some Open Problems . 128
References . . 134
List of notations . . 141
Index . . 147 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:18:15Z |
| indexdate | 2024-07-09T20:51:26Z |
| institution | BVB |
| isbn | 3540123318 0387123318 |
| language | English |
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| series | TATA Institute of Fundamental Research lectures on mathematics and physics |
| series2 | TATA Institute of Fundamental Research lectures on mathematics and physics : Mathematics |
| spelling | Ciarlet, Philippe G. 1938- Verfasser (DE-588)143368362 aut Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics Berlin [u.a.] Springer 1983 149 S. txt rdacontent n rdamedia nc rdacarrier TATA Institute of Fundamental Research lectures on mathematics and physics : Mathematics 71 Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Elastizität (DE-588)4014159-7 s DE-604 Mathematische Methode (DE-588)4155620-3 s TATA Institute of Fundamental Research lectures on mathematics and physics Mathematics ; 71 (DE-604)BV000015654 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015366654&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ciarlet, Philippe G. 1938- Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics TATA Institute of Fundamental Research lectures on mathematics and physics Mathematische Methode (DE-588)4155620-3 gnd Elastizität (DE-588)4014159-7 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4014159-7 |
| title | Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| title_auth | Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| title_exact_search | Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| title_exact_search_txtP | Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| title_full | Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| title_fullStr | Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| title_full_unstemmed | Lectures on three-dimensional elasticity lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| title_short | Lectures on three-dimensional elasticity |
| title_sort | lectures on three dimensional elasticity lectures delivered at the indian inst of science bangalore under the tifr iisc programme in applications of mathematics |
| title_sub | lectures delivered at the Indian Inst.of Science, Bangalore, under the TIFR-IISc.Programme in Applications of Mathematics |
| topic | Mathematische Methode (DE-588)4155620-3 gnd Elastizität (DE-588)4014159-7 gnd |
| topic_facet | Mathematische Methode Elastizität |
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