An Introduction to Differential Geometry with Applications to Elasticity

Language: English

Published by Springer Netherlands Feb 2006, 2006

1402042477 / 9781402042478

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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]. 216 pp. Englisch.…

Seller Inventory # 9781402042478

Title
An Introduction to Differential Geometry with Applications to Elasticity
Author
Philippe G. Ciarlet
Publisher
Springer Netherlands Feb 2006
Publication year
2006
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1402042477
ISBN 13
9781402042478
Item weight
494 grams
Dimensions
241x160x18 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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