An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet
English | PDF | 2005 | 212 Pages | ISBN : 1402042477 | 2.27 MB
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.