Advertisement

© 2016

Recent Developments in Anisotropic Heterogeneous Shell Theory

General Theory and Applications of Classical Theory - Volume 1

Book

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Also part of the SpringerBriefs in Continuum Mechanics book sub series (BRIEFSCONTINU)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 1-26
  3. Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 27-51
  4. Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
    Pages 53-113
  5. Back Matter
    Pages 115-116

About this book

Introduction

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.

Keywords

3D Elasticity Discrete-orthogonalization Spline-collocation Fourier Series Shallow Shells Non-circular Shells Shells of Revolution

Authors and affiliations

  1. 1.National Academy of Sciences of UkraineS.P. Timoshenko Institute of MechanicsKievUkraine
  2. 2.Technische Universität BerlinInstitut für MechanikBerlinGermany
  3. 3.National Academy of Sciences of UkraineS.P. Timoshenko Institute of MechanicsKievUkraine
  4. 4.National Academy Sciences of UkraineTechnical CenterKievUkraine

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
  • Series Abbreviated Title SpringerBriefs in Applied Sciences
  • DOI https://doi.org/10.1007/978-981-10-0353-0
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Softcover ISBN 978-981-10-0352-3
  • eBook ISBN 978-981-10-0353-0
  • 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
  • Buy this book on publisher's site