Advertisement

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

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

  • Alexander Ya. Grigorenko
    • 1
  • Wolfgang H. Müller
    • 2
  • Yaroslav M. Grigorenko
    • 3
  • Georgii G. Vlaikov
    • 4
  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

  • DOI https://doi.org/10.1007/978-981-10-0353-0
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering
  • Print ISBN 978-981-10-0352-3
  • Online ISBN 978-981-10-0353-0
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site