Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data (Springer Tracts in Natural Philosophy, Band 31) - Hardcover

Valent, Tullio

 
9780387965505: Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data (Springer Tracts in Natural Philosophy, Band 31)
Hardcover
ISBN 10: 0387965505 ISBN 13: 9780387965505
Verlag: Springer, 1987

Inhaltsangabe

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 Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality.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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Verlag
Springer
Erscheinungsdatum
1987
Sprache
Englisch
ISBN 10 
0387965505
ISBN 13 
9780387965505
Einband
Gebundene Ausgabe
Anzahl der Seiten
191
Kontakt zum Hersteller
Dt. Universitätsverlag
buchhandel-buch@springer.com

Abraham-Lincoln-Str. 46
Wiesbaden
65198
Deutschland

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9781461283263: Boundary Value Problems of Finite Elasticity: Local Theorems on Existence, Uniqueness, and Analytic Dependence on Data (Springer Tracts in Natural Philosophy, Band 31)

Vorgestellte Ausgabe

ISBN 10:  1461283264 ISBN 13:  9781461283263
Verlag: Springer, 2011
Softcover