The Minimum Free Energy for a Continuous-Spectrum Material

Giovambattista Amendola, Mauro Fabrizio and John Golden
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Giovambattista Amendola: University of Pisa, Dipartimento di Matematica
Mauro Fabrizio: University of Bologna, Dipartimento di Matematica
John Golden: Technological University - Dublin, Grangegorman Campus

Chapter Chapter 14 in Thermodynamics of Materials with Memory, 2021, pp 323-338 from Springer

Abstract: 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].

Date: 2021
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DOI: 10.1007/978-3-030-80534-0_14

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