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Thermodynamics of Elastic Continuum

  • Richard B. HetnarskiEmail author
  • M. Reza Eslami
Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 158)

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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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.NaplesUSA
  2. 2.Department of Mechanical EngineeringAmirkabir University of TechnologyTehranIran

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