Mathematical Theory of Elastic Structures [electronic resource] / by Kang Feng, Zhong-Ci Shi

Author: Feng, Kang
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996.
Edition: 1st ed. 1996.
Physical Description: XI, 395 pages 18 illustrations : online resource
Additional Creators: Shi, Zhongci and SpringerLink (Online service)

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Contents

1 Simple Modes of Elastic Deformation -- 2 Static Elasticity -- 3 Typical Problems of Elastic Equilibrium -- 4 Composite Elastic Structures -- 5 Finite Element Methods -- References.

Summary

The book covers three main topics: the classical theory of linear elasticity, the mathematical theory of composite elastic structures, as an application of the theory of elliptic equations on composite manifolds developed by the first author, and the finite element method for solving elastic structural problems. The authors treat these topics within the framework of a unified theory. The book carries on a theoretical discussion on the mathematical basis of the principle of minimum potential theory. The emphasis is on the accuracy and completeness of the mathematical formulation of elastic structural problems. The book will be useful to applied mathematicians, engineers and graduate students. It may also serve as a course in elasticity for undergraduate students in applied sciences.

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ISBN

9783662032862

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Springer Nature eBook

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