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Recent Developments in Anisotropic Heterogeneous Shell Theory

General Theory and Applications of Classical Theory - Volume 1

  • Book
  • © 2016

Overview

Authors:
  1. Alexander Ya. Grigorenko

    1. National Academy of Sciences of Ukraine, S.P. Timoshenko Institute of Mechanics, Kiev, Ukraine

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  2. Wolfgang H. Müller

    1. Technische Universität Berlin, Institut für Mechanik, Berlin, Germany

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  3. Yaroslav M. Grigorenko

    1. National Academy of Sciences of Ukraine, S.P. Timoshenko Institute of Mechanics, Kiev, Ukraine

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  4. Georgii G. Vlaikov

    1. National Academy Sciences of Ukraine, Technical Center, Kiev, Ukraine

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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)

  1. Front Matter

    Pages i-xvi
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  2. Mechanics of Anisotropic Heterogeneous Shells: Fundamental Relations for Different Models

    • Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 1-26

  3. Discrete-Continuous Methods for Solution

    • Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 27-51

  4. Some Solutions for Anisotropic Heterogeneous Shells Based on Classical Model

    • Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 53-113

  5. Back Matter

    Pages 115-116
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Keywords

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

  • National Academy of Sciences of Ukraine, S.P. Timoshenko Institute of Mechanics, Kiev, Ukraine

    Alexander Ya. Grigorenko, Yaroslav M. Grigorenko

  • Technische Universität Berlin, Institut für Mechanik, Berlin, Germany

    Wolfgang H. Müller

  • 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

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