Recent Developments in Anisotropic Heterogeneous Shell Theory

General Theory and Applications of Classical Theory - Volume 1

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematics, Applied, Technology
Cover of the book Recent Developments in Anisotropic Heterogeneous Shell Theory by Alexander Ya. Grigorenko, Wolfgang H. Müller, Georgii G. Vlaikov, Yaroslav M. Grigorenko, Springer Singapore
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Author: Alexander Ya. Grigorenko, Wolfgang H. Müller, Georgii G. Vlaikov, Yaroslav M. Grigorenko ISBN: 9789811003530
Publisher: Springer Singapore Publication: December 30, 2015
Imprint: Springer Language: English
Author: Alexander Ya. Grigorenko, Wolfgang H. Müller, Georgii G. Vlaikov, Yaroslav M. Grigorenko
ISBN: 9789811003530
Publisher: Springer Singapore
Publication: December 30, 2015
Imprint: Springer
Language: English

This volume focuses on the relevant general theory and presents some first applications, namely those based on classical shell theory. After a brief introduction, during which the history and state-of-the-art are discussed, the first chapter presents the mechanics of anisotropic heterogeneous shells, covering all relevant assumptions and the basic relations of 3D elasticity, classical and refined shell models. The second chapter examines the numerical techniques that are used, namely discrete orthogonalization, spline-collocation and Fourier series, while the third highlights applications based on classical theory, in particular, the stress-strain state of shallow shells, non-circular shells, shells of revolution, and free vibrations of conical shells. The book concludes with a summary and an outlook bridging the gap to the second volume.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This volume focuses on the relevant general theory and presents some first applications, namely those based on classical shell theory. After a brief introduction, during which the history and state-of-the-art are discussed, the first chapter presents the mechanics of anisotropic heterogeneous shells, covering all relevant assumptions and the basic relations of 3D elasticity, classical and refined shell models. The second chapter examines the numerical techniques that are used, namely discrete orthogonalization, spline-collocation and Fourier series, while the third highlights applications based on classical theory, in particular, the stress-strain state of shallow shells, non-circular shells, shells of revolution, and free vibrations of conical shells. The book concludes with a summary and an outlook bridging the gap to the second volume.

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