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Thermodynamics of Elastic Continuum

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Thermal Stresses—Advanced Theory and Applications

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

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Abstract

A new presentation of the thermodynamic principles for solid elastic continuum is given. The first and the second laws of thermodynamics in variational form are stated, and the variational principle of thermodynamics in terms of entropy follows. The principle of thermoelasticity linearization is discussed and the classical, coupled, as well as the generalized (with second sound effect) theories are derived using the linearization technique. A unique generalized formulation, considering Lord–Shulman, Green–Lindsay, and Green–Naghdi models, for the heterogeneous anisotropic material is presented, where the formulation is properly reduced to those of isotropic material. The uniqueness theorem and the variational form of the generalized thermoelasticity are derived, and the exposition of the Maxwell reciprocity theorem concludes the chapter.

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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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Correspondence to Richard B. Hetnarski .

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Hetnarski, R.B., Eslami, M.R. (2019). Thermodynamics of Elastic Continuum. 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_2

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  • DOI: https://doi.org/10.1007/978-3-030-10436-8_2

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  • Print ISBN: 978-3-030-10435-1

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