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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Allg. & Lexika An Introduction to Differential Geometry with Applications to Elasticity
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An Introduction to Differential Geometry with Applications to Elasticity
Philippe G. Ciarlet (Broschiert, Englisch)
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Beschreibung
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]. 106,99 €
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Technische Daten
Erscheinungsdatum
19.10.2010
Sprache
Englisch
EAN
9789048170852
Herausgeber
Springer Netherland
Sonderedition
Nein
Autor
Philippe G. Ciarlet
Seitenanzahl
209
Einbandart
Broschiert
Schlagwörter
Gaussian curvature, curvature, curvilinear coordinates, differential geometry, differential geometry of surfaces, elasticity theory, shell theory, surface theory, partial differential equations
Thema-Inhalt
TBJ - Mathematik für Ingenieure
PHD - Klassische Mechanik
PBKJ - Differentialrechnung und -gleichungen
PBMP - Differentielle und Riemannsche Geometrie
Höhe
240 mm
Breite
16 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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