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Elastic Shells, Linear Shear-Deformable Theory

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Encyclopedia of Continuum Mechanics

Synonyms

Higher-order shell theories; Shear deformation shell theories; Thick shells

Definition

Shear deformation shell theories do not use the known Love-Kirchhoff hypotheses and take additional account for transverse shear strains. These models are required for shells with strong material anisotropy, shells with high thickness to-curvature radius ratio, and high frequency shell structure vibrations. Shear deformation shell theories lead to hyperbolic equation systems and allow to describe wave dynamics.

Introduction

The term “shear deformation shell theory” denotes a wide range of shell models free from Love-Kirchhoff assumptions and being “second-” and higher-order approximations in the mechanics of thin-walled structures. Indeed, “…any refinements to Love’s first approximation theory…are meaningless until the effects of transverse shear and normal stresses are taken into account in the refined theory” (Koiter, 1961). Such theories originated by Timoshenko (1921), Reissner (1944),...

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Author information

Authors and Affiliations

  1. Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, Russia

    Sergey I. Zhavoronok

Authors
  1. Sergey I. Zhavoronok
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Corresponding author

Correspondence to Sergey I. Zhavoronok .

Editor information

Editors and Affiliations

  1. Institut für Mechanik, Otto-von-Guericke-Universität Institut für Mechanik, Magdeburg, Germany

    Holm Altenbach

  2. Griffith University (Gold Coast Campus), Griffith School of Engineering Griffith University (Gold Coast Campus), Southport, Queensland, Australia

    Andreas Öchsner

Section Editor information

  1. Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Ul. Gen. J. Fiszera 14, 80-231, Gdańsk, Poland

    Wojciech Pietraszkiewicz

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Zhavoronok, S.I. (2018). Elastic Shells, Linear Shear-Deformable Theory. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_194-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_194-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

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