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- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Part of the book sub series: SpringerBriefs in Continuum Mechanics (BRIEFSCONTINU)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
About this book
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.
Authors and Affiliations
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National Academy of Sciences of Ukraine, S.P. Timoshenko Institute of Mechanics, Kiev, Ukraine
Alexander Ya. Grigorenko, Yaroslav M. Grigorenko
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Technische Universität Berlin, Institut für Mechanik, Berlin, Germany
Wolfgang H. Müller
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National Academy Sciences of Ukraine, Technical Center, Kiev, Ukraine
Georgii G. Vlaikov
Bibliographic Information
Book Title: Recent Developments in Anisotropic Heterogeneous Shell Theory
Book Subtitle: General Theory and Applications of Classical Theory - Volume 1
Authors: Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-981-10-0353-0
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-981-10-0352-3Published: 08 February 2016
eBook ISBN: 978-981-10-0353-0Published: 30 December 2015
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: XVI, 116
Number of Illustrations: 1 b/w illustrations, 24 illustrations in colour
Topics: Solid Mechanics, Mathematical Modeling and Industrial Mathematics