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On the thermodynamics of viscoelastic continua

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Sommario

Si propone una trattazione dei fondamenti della teoria delle deformazioni permanenti (plastiche, dovute a scorrimento a caldo, ecc.), legata a certi postulati termomeccanici dove gioca ruolo essenziale una opportuna definizione di entalpia libera. La trattazione ha un carattere in certo senso “duale” di quella relativa ai continui viscoelastici di Coleman e Noll.

Summary

The thermodynamic foundations of a theory of permanent deformations are considered: in the axioms, an appropriate definition of free enthalpy plays an essential rôle. Our developments are parallel (but in a certain sense dual) to those which occur in a theory of viscoelastic materials, due to Coleman and Noll.

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References

  1. B. D. Coleman and W. Noll,Thermodynamics of elastic materials with heat conduction and viscosity, Arch. Rat. Mech. Anal., no. 13, pp. 245–261, 1963.

  2. B. D. Coleman,Thermodynamics of material with memory, Arch. Rat. Mech. Anal., no. 17, pp. 1–46, 1964.

  3. See, for instance:B. D. Coleman andV. J. Mizel,Existence of caloric equations of state in thermodynamics, J. Chem. Phys., no. 40, pp. 1116–1125, 1964.

  4. A. E. Green and P. M. Naghdi,A general theory of an elastic-plastic continuum, Arch. Rat. Mech. Anal., no. 18, pp. 251–281, 1965.

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Capriz, G. On the thermodynamics of viscoelastic continua. Meccanica 3, 143–147 (1968). https://doi.org/10.1007/BF02129246

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  • DOI: https://doi.org/10.1007/BF02129246

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