An Introduction to Differential Geometry with Applications to Elasticity

• Main Author: Ciarlet, Philippe G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2005.
• Subjects: Engineering.; Partial differential equations.; Differential geometry.; Mechanics.; Applied mathematics.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Partial Differential Equations.; Differential Geometry.

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. K...

Table of Contents:

• Three-Dimensional Differential Geometry
• Differential Geometry of Surfaces
• Applications to Three-Dimensional Elasticity in Curvilinear Coordinates
• Applications to Shell Theory.