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Recent Developments in Anisotropic Heterogeneous Shell Theory: General Theory and Applications of Classical Theory - Volume 1

✍ Scribed by Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov (auth.)

Publisher
Springer Singapore
Year
2016
Tongue
English
Leaves
129
Series
SpringerBriefs in Applied Sciences and Technology
Edition
1
Category
Library
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✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xvi
Mechanics of Anisotropic Heterogeneous Shells: Fundamental Relations for Different Models....Pages 1-26
Discrete-Continuous Methods for Solution....Pages 27-51
Some Solutions for Anisotropic Heterogeneous Shells Based on Classical Model....Pages 53-113
Back Matter....Pages 115-116

✦ Subjects

Continuum Mechanics and Mechanics of Materials; Mathematical Modeling and Industrial Mathematics

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