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Recent Developments in Anisotropic Heterogeneous Shell Theory

Applications of Refined and Three-dimensional Theory—Volume IIB

  • 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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  • Examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells
  • 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 (2 chapters)

  1. Front Matter

    Pages i-viii
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  2. Solutions of Dynamic Problems Based on the Refined Model

    • Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 1-60

  3. Some Solutions of Stationary Problems Based on 3D Theory

    • Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 61-106

  4. Back Matter

    Pages 107-108
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Keywords

About this book

These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models. Further, it examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells obtained by the refined model. 

The book investigates the stress-strain state and free vibrations of finite-length cylinders in spatial formulation (3D elasticity theory). Further, it analyzes the influence of geometrical and mechanical parameters, of boundary conditions, and of the loading character on both the distributions of stress and displacement fields, and on the dynamical characteristics in these shells and cylinders. Lastly, it discusses in detail the validation of reliability for the results obtained bynumerical calculations.

As such, it complements the first part of the book, the volume Recent Developments in Anisotropic Heterogeneous Shell Theory: Applications of Refined and Three-dimensional Theory.

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: Applications of Refined and Three-dimensional Theory—Volume IIB

  • 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/10.1007/978-981-10-1596-0

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Author(s) 2016

  • Softcover ISBN: 978-981-10-1595-3Published: 09 June 2016

  • eBook ISBN: 978-981-10-1596-0Published: 02 June 2016

  • Series ISSN: 2191-530X

  • Series E-ISSN: 2191-5318

  • Edition Number: 1

  • Number of Pages: VIII, 108

  • Number of Illustrations: 19 b/w illustrations, 5 illustrations in colour

  • Topics: Solid Mechanics, Mathematical Modeling and Industrial Mathematics

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