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The Minimum Free Energy

In: Thermodynamics of Materials with Memory

Author

Listed:
  • Giovambattista Amendola

    (University of Pisa, Dipartimento di Matematica Applicata “U. Dini”)

  • Mauro Fabrizio

    (University of Bologna, Dipartimento di Matematica)

  • John Murrough Golden

    (Dublin Institute of Technology, School of Mathematical Sciences)

Abstract

Breuer and Onat [24] considered the following question: what is the maximum amount of work recoverable from a body that has undergone a specified strain history? They found that the answer for linear viscoelastic memory materials is provided by the solution of an integral equation of Wiener–Hopf type, which is in fact a special case of the result given in Section 5.2. They gave a detailed solution by elementary means for a material with relaxation function in the form of a finite sum of decaying exponentials. The nonuniqueness problem was also explicitly exposed by these authors [25].

Suggested Citation

  • Giovambattista Amendola & Mauro Fabrizio & John Murrough Golden, 2012. "The Minimum Free Energy," Springer Books, in: Thermodynamics of Materials with Memory, chapter 0, pages 235-267, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-1692-0_10
    DOI: 10.1007/978-1-4614-1692-0_10
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