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MARIO DI PAOLA

Free energy and states of fractional-order hereditariness

  • Autori: Deseri,L; Di Paola, M; Zingales, M
  • Anno di pubblicazione: 2014
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: Complex materials; Continuous relaxation; Dissipation rates; Fractional derivatives; Fractional order; Free energy function; Material science; Power law creep
  • OA Link: http://hdl.handle.net/10447/101236

Abstract

Complex materials, often encountered in recent engineering and material sciences applications, show no complete separations between solid and fluid phases. This aspect is reflected in the continuous relaxation time spectra recorded in cyclic load tests. As a consequence the material free energy cannot be defined in a unique manner yielding a significative lack of knowledge of the maximum recoverable work that can extracted from the material. The non-uniqueness of the free energy function is removed in the paper for power-laws relaxation/creep function by using a recently proposed mechanical analogue to fractional-order hereditariness.