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Thermodynamic potential of free energy for thermo-elastic-plastic body

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The procedure of derivation of thermodynamic potential of free energy (Helmholtz free energy) for a thermo-elastic-plastic body is presented. This procedure concerns a special thermodynamic model of a thermo-elastic-plastic body with isotropic hardening characteristics. The classical thermodynamics of irreversible processes for material characterized by macroscopic internal parameters is used in the derivation. Thermodynamic potential of free energy may be used for practical determination of the level of stored energy accumulated in material during plastic processing applied, e.g., for industry components and other machinery parts received by plastic deformation processing. In this paper the stored energy for the simple stretching of austenitic steel will be presented.

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  • 18 December 2017

    Unfortunately, the original article was online published with error in equations, and the same is corrected here.


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Correspondence to Z. Śloderbach.

Additional information

A correction to this article is available online at

Communicated by Andreas Öchsner.

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Śloderbach, Z., Pająk, J. Thermodynamic potential of free energy for thermo-elastic-plastic body. Continuum Mech. Thermodyn. 30, 221–232 (2018).

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  • Free energy
  • Thermo-elastic-plastic body
  • Enthalpy
  • Exergy
  • Stored energy of plastic deformations
  • Mechanical energy dissipation
  • Thermodynamic reference state