Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data - Couverture rigide

Valent, Tullio

 
9780387965505: Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data
Couverture rigide
ISBN 10 : 0387965505 ISBN 13 : 9780387965505
Editeur : Springer-Verlag New York Inc., 1987

Synopsis

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 Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality.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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag New York Inc.
Date d'édition
1987
Langue
anglais
ISBN 10 
0387965505
ISBN 13 
9780387965505
Reliure
Relié
Nombre de pages
203
Coordonnées du fabricant
non disponible
Personne responsable
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Hamburg
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Autres éditions populaires du même titre

9781461283263: Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data

Edition présentée

ISBN 10 :  1461283264 ISBN 13 :  9781461283263
Editeur : Springer, 2011
Couverture souple