doi: 10.1685/journal.caim.488

The minimum free energy in fractional models of materials with memory

Giovambattista Amendola, Mauro Fabrizio, John Murrough Golden

Abstract


Explicit forms of the minimum free energy and the corresponding rate of dissipation, for general histories of strain, are derived and discussed within the context of fractional derivative models of materials with memory. Simple formulae are also given for sinusoidal and exponential histories.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909