Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1988
|
| Schriftenreihe: | Springer Tracts in Natural Philosophy
31 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be sides being quite spontaneous, allows us to consider a great many inter esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub sequent developments |
| Beschreibung: | 1 Online-Ressource (XII, 191p) |
| ISBN: | 9781461237365 9781461283263 |
| ISSN: | 0081-3877 |
| DOI: | 10.1007/978-1-4612-3736-5 |
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| isbn | 9781461237365 9781461283263 |
| issn | 0081-3877 |
| language | English |
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| spelling | Valent, Tullio Verfasser aut Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data by Tullio Valent New York, NY Springer New York 1988 1 Online-Ressource (XII, 191p) txt rdacontent c rdamedia cr rdacarrier Springer Tracts in Natural Philosophy 31 0081-3877 In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be sides being quite spontaneous, allows us to consider a great many inter esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub sequent developments Physics Chemistry / Mathematics Global analysis (Mathematics) Mechanics Engineering Materials Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Math. Applications in Chemistry Computational Intelligence Analysis Chemie Ingenieurwissenschaften Mathematik Randwertproblem (DE-588)4048395-2 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 https://doi.org/10.1007/978-1-4612-3736-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Valent, Tullio Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data Physics Chemistry / Mathematics Global analysis (Mathematics) Mechanics Engineering Materials Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Math. Applications in Chemistry Computational Intelligence Analysis Chemie Ingenieurwissenschaften Mathematik Randwertproblem (DE-588)4048395-2 gnd Elastizitätstheorie (DE-588)4123124-7 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4123124-7 |
| title | Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data |
| title_auth | Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data |
| title_exact_search | Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data |
| title_full | Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data by Tullio Valent |
| title_fullStr | Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data by Tullio Valent |
| title_full_unstemmed | Boundary Value Problems of Finite Elasticity Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data by Tullio Valent |
| title_short | Boundary Value Problems of Finite Elasticity |
| title_sort | boundary value problems of finite elasticity local theorems on existence uniqueness and analytic dependence on data |
| title_sub | Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data |
| topic | Physics Chemistry / Mathematics Global analysis (Mathematics) Mechanics Engineering Materials Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Math. Applications in Chemistry Computational Intelligence Analysis Chemie Ingenieurwissenschaften Mathematik Randwertproblem (DE-588)4048395-2 gnd Elastizitätstheorie (DE-588)4123124-7 gnd |
| topic_facet | Physics Chemistry / Mathematics Global analysis (Mathematics) Mechanics Engineering Materials Classical Continuum Physics Continuum Mechanics and Mechanics of Materials Math. Applications in Chemistry Computational Intelligence Analysis Chemie Ingenieurwissenschaften Mathematik Randwertproblem Elastizitätstheorie |
| url | https://doi.org/10.1007/978-1-4612-3736-5 |
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