An Introduction to Differential Geometry with Applications to Elasticity
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The work An Introduction to Differential Geometry with Applications to Elasticity represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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An Introduction to Differential Geometry with Applications to Elasticity
Resource Information
The work An Introduction to Differential Geometry with Applications to Elasticity represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 An Introduction to Differential Geometry with Applications to Elasticity
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 by Philippe G. Ciarlet
 Language

 eng
 eng
 Summary
 curvilinear coordinates. This treatment includes in particular a direct proof of the threedimensional 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 “twodimensional”, 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 twodimensional 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 threedimensional 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 NorthHolland, 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]
 Dewey number
 516.3/6
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 sdMctGlg92U
 Language note
 English
 LC call number

 TA329348
 TA640643
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Journal of elasticity
 Series volume
 7879
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 An Introduction to Differential Geometry with Applications to Elasticity, by Philippe G. Ciarlet, (electronic resource)
 An Introduction to Differential Geometry with Applications to Elasticity, by Philippe G. Ciarlet, (electronic resource)
 An Introduction to Differential Geometry with Applications to Elasticity, by Philippe G. Ciarlet, (electronic resource)
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