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Thermal Stresses—Advanced Theory and Applications pp 1–43Cite as

Basic Laws of Thermoelasticity

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 158))

Abstract

The basic laws of thermoelasticity, similar to those of the theory of elasticity, include the equations of motion, the compatibility equations, and the constitutive law. This chapter begins with the derivation of the basic laws of linear thermoelasticity, where the linear strain–displacement relations are obtained, following the general discussion of the Green and Almansi nonlinear strain tensors. The necessity and sufficiency of the compatibility conditions for the simply and multiply connected regions are presented for three-dimensional conditions. These conditions are then reduced to the two-dimensional case called Michell conditions. The classical general and simple thermoelastic plane strain and plane stress formulations are presented.

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References

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Author information

Authors and Affiliations

  1. 7117 Pelican Bay Blvd., Apt.1209, Naples, FL, 34108, USA

    Richard B. Hetnarski

  2. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran

    M. Reza Eslami

Authors
  1. Richard B. Hetnarski
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  2. M. Reza Eslami
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Corresponding author

Correspondence to Richard B. Hetnarski .

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Hetnarski, R.B., Eslami, M.R. (2019). Basic Laws of Thermoelasticity. In: Thermal Stresses—Advanced Theory and Applications. Solid Mechanics and Its Applications, vol 158. Springer, Cham. https://doi.org/10.1007/978-3-030-10436-8_1

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  • DOI: https://doi.org/10.1007/978-3-030-10436-8_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10435-1

  • Online ISBN: 978-3-030-10436-8

  • eBook Packages: EngineeringEngineering (R0)

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