An introduction to differential geometry with applications to elasticity

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

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