The Minimum Free Energy

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 11 in Thermodynamics of Materials with Memory, 2021, pp 255-285 from Springer

Abstract: Abstract Breuer and Onat [42] 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 Sect. 5.2 . They gave a detailed solution by elementary means for a material with relaxation functionRelaxation function in the form of a finite sum of decaying exponentials. The nonuniqueness Free energy nonuniqueness problem was also explicitly exposed by these authors [43].

Date: 2021
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DOI: 10.1007/978-3-030-80534-0_11

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