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