Algebraic and Numerical Exploration of Free Energies for Materials with Memory

Authors

John Murrough Golden, Technological University DublinFollow
Giovambattista Amendola, Dipartimento di Matematica Applicata, Università di Pisa
Mauro Fabrizio, Dipartimento di Matematica, Università di Bologna

Document Type

Article

Rights

Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence

Disciplines

1.1 MATHEMATICS

Publication Details

Electronic Journal of Dierential Equations, Vol. 2015 (2015), No. 72, pp. 1-42.

ISSN: 1072-6691.

URL: http://ejde.math.txstate.edu or http://ejde.math.unt.eduftp ejde.math.txstate.edu

Abstract

Abstract. We study the forms of a range of free energy functionals for materials with memory for two types of strain history, namely sinusoidal and ex- ponential behaviours. The work deals with discrete spectrum materials, which are those with relaxation functions given by sums of decaying exponentials.

DOI

http://doi.org10.21427/h2ek-fe46

Recommended Citation

Golden, M., Amendola, G. & Fabrizio, M. (2015) ALGEBRAIC AND NUMERICAL EXPLORATION OF FREE ENERGIES FOR MATERIALS WITH MEMORY, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 72, pp. 1- 42. doi:10.21427/h2ek-fe46 URL: http://ejde.math.txstate.edu or http://ejde.math.unt.eduftp ejde.math.txstate.edu