Isbn: 9781402042478 - an introduction to differential geometry with applications to elasticity (15 risultati)

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Buch. Condizione: Neu. 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].…

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Originalpappband. 23cm. Condizione: Wie neu. 1. Edition . ERSTAUSGABE. IV, 220 Seiten. FRISCHES, SEHR schönes Exemplar der ERSTAUSGABE. In EXCELLENT shape. ( we have a lot of books on PHYSICS and MATHEMATICS on stock in EXCELLENT shape) Aufgrund der von der Europäischen Union erlassenen Handels-Erschwernisse (die neue europäische Verpackungsverordnung mit extremen Gebühren für Händler) kann in folgende Länder KEIN VERSAND erfolgen: Bulgarien, Dänemark, Estland, Finnland, Griechenland, Irland, Kroatien, Lettland, Litauen, Luxemburg, Malta, Polen, Portugal, Rumänien, Schweden, Slowakei, Slowenien, Ungarn, Zypern. Falls Sie eine Rechnungs- und Lieferadresse in DEUTSCHLAND ermöglichen, kann an diese deutsche Adresse OHNE PROBLEME geliefert werden. Sprache: Englisch Gewicht in Gramm: 560.…

Buch. Condizione: Neu. 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.…

Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Complete proofsSelf-contained treatmentInterplay between differential geometry and elasticity theorycurvilinear coordinates. This treatment includes in particular a direct proof of the three-dimensional Korn inequality in curvilinea.…

Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. 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].Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 216 pp. Englisch. …