The Minimum Free Energy

Giovambattista Amendola (), Mauro Fabrizio () and John Murrough Golden ()
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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

Chapter Chapter 10 in Thermodynamics of Materials with Memory, 2012, pp 235-267 from Springer

Abstract: 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].

Keywords: Free Energy; Minimum Free Energy; Relaxation Function; Tensor Function; Nonnegative Tensor (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-1-4614-1692-0_10

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