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Encyclopedia of Continuum Mechanics pp 1–13Cite as

Plane Thermoelasticity of Inhomogeneous Solids

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Synonyms

Formulation and analysis of plane elasticity and thermoelasticity problems for inhomogeneous materials; Plane-strain and plane-stress problems of the elasticity and thermoelasticity theories for inhomogeneous solids

Definitions

Plane problem:

That addresses a problem formulated under either the plane-stress or plane-strain hypothesis, which allows for representing a general three-dimensional formulation in two in-plane dimensions within a plane section of a considered elastic solid.

Elasticity, thermoelasticity:

That addresses the geometrically and physically linear theories of elasticity and thermoelasticity.

Material inhomogeneity:

That addresses the variation of material properties (elastic and thermophysical moduli) within a macro-volume of an elastic solid.

Introduction

Plane problems of the elasticity and thermoelasticity theories attract widespread attention for over a hundred years. Being derived from general three-dimensional problems by making use of either the...

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Author information

Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, Ukraine

    Yuriy Tokovyy

Authors
  1. Yuriy Tokovyy
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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, QLD, Australia

    Andreas Öchsner

Section Editor information

  1. Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    Sergey Alexandrov

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Tokovyy, Y. (2019). Plane Thermoelasticity of Inhomogeneous Solids. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_361-1

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  • DOI: https://doi.org/10.1007/978-3-662-53605-6_361-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-53605-6

  • Online ISBN: 978-3-662-53605-6

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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