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Title Recent developments in anisotropic heterogeneous shell theory : general theory and applications of classical theory. Volume 1 / Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
Published Singapore : Springer, 2016


Description 1 online resource (xvi, 116 pages) : illustrations (some color)
Series SpringerBriefs in applied sciences and technology, Continuum mechanics, 2191-530X
SpringerBriefs in applied sciences and technology. Continuum mechanics
Contents Introduction -- Mechanics of anisotropic heterogeneous shells: Fundamental relations for different models -- Discrete-continuous methods for solution -- Solutions based on the classical model -- Conclusions
Summary 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
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (SpringerLink, viewed January 12, 2016)
Subject Shells (Engineering) -- Mathematical models
Shells (Engineering) -- Mathematical models.
Form Electronic book
Author Grigorenko, Alexander Ya, author
Müller, Wolfgang H., 1959- author.
Grigorenko, Yaroslav M., author
Vlaikov, Georgii G., author
ISBN 9789811003530