An introduction to differential geometry with applications to elasticity
- Author
- Philippe G. Ciarlet
- Publication Year
- 2005
- Publisher
- Springer
- Language
- English
- Document Type
- Book
- Faculty / Subject Heading
- Engineering
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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.
Keywords: Engineering / Gaussian curvature / Curvature / Curvilinear coordinates / Differential geometry / Differential geometry of surfaces / Elasticity theory / Shell theory / Surface theory