Document Type

Article

Rights

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

Disciplines

1.1 MATHEMATICS, Applied mathematics

Publication Details

Mathematical Models and Methods in Applied Sciences, Volume 24, Issue 06, June 2014

DOI: 10.1142/S0218202513500760

Abstract

A general theory of non-local materials, with linear constitutive equations and memory effects, is developed within a thermodynamic framework. Several free energy and dissipation functionals are constructed and explored. These include an expression for the minimum free energy and a functional that is a free energy for important categories of memory kernels and is explicitly a functional of the minimal state. The functionals discussed have a similar general form to the corresponding expressions for simple materials. A number of new results are derived for them, most of which apply equally to both types of material. In particular, detailed formulae are given for these quantities in the case of sinusoidal histories. Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218202513500760

DOI

http://doi.org10.1142/S0218202513500760

Funder

G. A Italian G.N.F.M.- 21 I.N.D.A.M., Dublin Institute of Technology

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