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The Minimum Free Energy for a Continuous-Spectrum Material

In: Thermodynamics of Materials with Memory

Author

Listed:
  • Giovambattista Amendola

    (University of Pisa, Dipartimento di Matematica)

  • Mauro Fabrizio

    (University of Bologna, Dipartimento di Matematica)

  • John Golden

    (Technological University - Dublin, Grangegorman Campus)

Abstract

We now examine how the formulas emerging from the methodology developed in Chap. 11 apply to materials other than those exhibiting a discrete-spectrum Material discrete-spectrum response, Response discrete-spectrum in particular for materials with a branch-cut-type singularity. We confine our considerations to the case that the cut is on the imaginary axis. Such a material is said to have a continuous-spectrum response Response continuous-spectrum Free energy minimum continuous-spectrum material , i.e., those materials for which Relaxation function viscoelastic solid the relaxation functionRelaxation function is given Relaxation function derivative continuous-spectrum by an integral of a density function multiplying a strictly decaying exponential. The results reported in this chapter were first presented in [94].

Suggested Citation

  • Giovambattista Amendola & Mauro Fabrizio & John Golden, 2021. "The Minimum Free Energy for a Continuous-Spectrum Material," Springer Books, in: Thermodynamics of Materials with Memory, edition 2, chapter 0, pages 323-338, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-80534-0_14
    DOI: 10.1007/978-3-030-80534-0_14
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