A Linear Memory Model

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 7 in Thermodynamics of Materials with Memory, 2021, pp 149-176 from Springer

Abstract: Abstract We now address the problem of finding explicit forms for the free energy of materials with constitutive relations given by linear memory Constitutive relation linear memory functionals. Such materials are referred to in this work as linear memory materials Material linear memory . As we will see, the equilibrium (or alternatively, the instantaneous) contribution, which is to say the portion of the constitutive equation without memory effects, need not be linear. If the part of the constitutive equation without memory is also linear, we use the description a completely linear material Material completely linear . A linear viscoelastic material is understood to be completely linear, while a viscoelastic material with linear memory need not have this property.

Date: 2021
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DOI: 10.1007/978-3-030-80534-0_7

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