Free energy and states of fractional-order hereditariness

Mario Di Paola, Massimiliano Zingales, Mario Di Paola, Massimiliano Zingales, Luca Deseri

Risultato della ricerca: Article

19 Citazioni (Scopus)

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.
Lingua originaleEnglish
pagine (da-a)3156-3167
Numero di pagine12
RivistaInternational Journal of Solids and Structures
Volume51
Stato di pubblicazionePublished - 2014

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Fractional Order
Free energy
Free Energy
free energy
cyclic loads
load tests
materials science
solid phases
Materials Science
Cyclic loads
relaxation time
Nonuniqueness
engineering
Creep
Materials science
analogs
Energy Function
Relaxation Time
Relaxation time
Continuous Time

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cita questo

Free energy and states of fractional-order hereditariness. / Di Paola, Mario; Zingales, Massimiliano; Di Paola, Mario; Zingales, Massimiliano; Deseri, Luca.

In: International Journal of Solids and Structures, Vol. 51, 2014, pag. 3156-3167.

Risultato della ricerca: Article

Di Paola, Mario ; Zingales, Massimiliano ; Di Paola, Mario ; Zingales, Massimiliano ; Deseri, Luca. / Free energy and states of fractional-order hereditariness. In: International Journal of Solids and Structures. 2014 ; Vol. 51. pagg. 3156-3167.
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AU - Di Paola, Mario

AU - Zingales, Massimiliano

AU - Deseri, Luca

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KW - Continuous relaxation

KW - Dissipation rates

KW - Fractional derivatives

KW - Fractional order

KW - Free energy function

KW - Material science

KW - Power law creep

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