Thermodynamics of Materials with Memory

Giovambattista Amendola (), Mauro Fabrizio () and John Murrough Golden ()
Additional contact information
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 5 in Thermodynamics of Materials with Memory, 2012, pp 109-122 from Springer

Abstract: Abstract We now apply thermodynamic principles to field theories with memory. For general nonlinear, nonisothermal theories, we assume that a free energy is given, this being the fundamental constitutive assumption. Applying a generalization of the approach of Coleman [36], Coleman and Mizel [38], Gurtin and Pipkin [130], we derive the constitutive equations for the theory in Section 5.1. Also, fundamental properties of free energies are derived. Furthermore, some observations are made on the case of periodic histories and in relation to constraints on the nonuniqueness of free energies. In Section 5.2, an expression for the maximum recoverable work is given for general materials, together with an integral equation for the process yielding this maximum. Finally, in Section 5.3, we discuss how free energies can be constructed from combinations of simpler free energies.

Keywords: Free Energy; Constitutive Equation; Periodic History; Static History; Helmholtz Free Energy (search for similar items in EconPapers)
Date: 2012
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-1692-0_5

Ordering information: This item can be ordered from
http://www.springer.com/9781461416920

DOI: 10.1007/978-1-4614-1692-0_5

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().