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An Introduction to Differential Geometry with Applications to Elasticity by Philippe G. Ciarlet is a nonfiction available to read on EtoBox.

What is An Introduction to Differential Geometry with Applications to Elasticity about?

This book is based on a series of lectures delivered over the years by the author at the University Pierre et Marie Curie in Paris, at the University of Stuttgart, and at City University of Hong Kong. Its two-fold aim is to provide a thorough introduction to the basic theorems of differential geometry and to elasticity in curvilinear coordinates and shell theory. To this end, the fundamental existence and uniqueness theorems are proved in great details. Such theorems include the fundamental theorem of surface theory, which asserts that the Gauss and Codazzi-Mainardi equations are sufficient for the existence of a surface with prescribed fundamental forms, as well as the corresponding rigidity theorem. Recent results, which have not yet appeared in book form are also included, such as the continuity of a surface as a function of its fundamental forms. This book also provides a detailed description of the equations of nonlinear and linearized elasticity in curvilinear coordinates, together with a direct proof of the three-dimensional Korn inequality in curvilinear coordinates. The book also includes a detailed description of Koiter's equations for nonlinearly and linearly elastic she

Who reads An Introduction to Differential Geometry with Applications to Elasticity?

Author

Philippe G. Ciarlet

Publisher

Springer Netherlands : Imprint : Springer

Published

2006

Language

EN

ISBN

9781402042485

Category

nonfiction

Subjects

Engineering, Mathematics, Stem