An Introduction to Differential Geometry with Applications to Elasticity

Lingua: inglese

Editore: Springer, 2010

9048170850 / 9789048170852

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - curvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The fourth and last chapter, which heavily relies on Chapter 2, begins by a detailed description of the nonlinear and linear equations proposed by W.T. Koiter for modeling thin elastic shells. These equations are 'two-dimensional', in the sense that they are expressed in terms of two curvilinear coordinates used for de ning the middle surface of the shell. The existence, uniqueness, and regularity of solutions to the linear Koiter equations is then established, thanks this time to a fundamental 'Korn inequality on a surface' and to an 'in nit- imal rigid displacement lemma on a surface'. This chapter also includes a brief introduction to other two-dimensional shell equations. Interestingly, notions that pertain to di erential geometry per se,suchas covariant derivatives of tensor elds, are also introduced in Chapters 3 and 4, where they appear most naturally in the derivation of the basic boundary value problems of three-dimensional elasticity and shell theory. Occasionally, portions of the material covered here are adapted from - cerpts from my book 'Mathematical Elasticity, Volume III: Theory of Shells', published in 2000by North-Holland, Amsterdam; in this respect, I am indebted to Arjen Sevenster for his kind permission to rely on such excerpts. Oth- wise, the bulk of this work was substantially supported by two grants from the Research Grants Council of Hong Kong Special Administrative Region, China [Project No. 9040869, CityU 100803 and Project No. 9040966, CityU 100604].

Codice articolo 9789048170852

Titolo
An Introduction to Differential Geometry with Applications to Elasticity
Autore
Philippe G. Ciarlet
Editore
Springer
Anno di pubblicazione
2010
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
9048170850
ISBN 13
9789048170852
Peso dell'articolo
354 grammi
Dimensioni
240x160x12 mm

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 7 giorni lavorativiDa 7 a 10 giorni lavorativi
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