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Shell Thermomechanics, Resultant Nonlinear Theory

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Encyclopedia of Continuum Mechanics

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Synonyms

Dynamically and thermally exact shell theory; Rational thermomechanics of shells

Definition

Shell thermomechanics is the study of effects of heat upon mechanical properties of a thin solid body. The resultant shell theory is based on the set of two-dimensional balance laws of mass, linear and angular momenta, and energy as well as the entropy inequality which are formulated on the shell base surface as exact resultant implications of corresponding laws of three-dimensional rational continuum thermomechanics. The only approximations enter this shell model through constitutive equations, which are experimental laws anyway.

Introduction

Nonlinear thermomechanic two-dimensional (2D) models of shells are usually developed using two main approaches: (1) the so-called direct formulation and (2) the derived or deductiveformulation from three-dimensional (3D) continuum thermomechanics. But the final 2D relations of shell thermomechanics and physical interpretation of their...

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Author information

Authors and Affiliations

  1. Faculty of Civil and Environmental Engineering, Department of Mechanics of Materials and Structures, Gdańsk University of Technology, Gdańsk, Poland

    Wojciech Pietraszkiewicz

Authors
  1. Wojciech Pietraszkiewicz
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Corresponding author

Correspondence to Wojciech Pietraszkiewicz .

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, Gdańsk, Poland

    Wojciech Pietraszkiewicz

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Pietraszkiewicz, W. (2018). Shell Thermomechanics, Resultant Nonlinear Theory. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_191-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_191-1

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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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