An Introduction to Differential Geometry with Applications to Elasticity

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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. The existence, ...

An Introduction to Differential Geometry with Applications to Elasticity 2010, Springer, Dordrecht

ISBN-13: 9789048170852

Paperback

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An Introduction to Differential Geometry with Applications to Elasticity 2006, Springer, Dordrecht, Netherlands

ISBN-13: 9781402042478

2005 edition

Hardcover

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