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

Language: English

Published by Springer, 2011

1461283264 / 9781461283263

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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 Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality.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.…

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Title
Boundary Value Problems of Finite Elasticity : Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data
Author
Tullio Valent
Publisher
Springer
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1461283264
ISBN 13
9781461283263
Item weight
324 grams
Dimensions
235x155x12 mm

AHA-BUCH GmbH

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