The multiscale stochastic model of fractional hereditary materials (FHM)

Mario Di Paola, Massimiliano Zingales, Mario Di Paola, Massimiliano Zingales

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


In a recent paper the authors proposed a mechanical model corresponding, exactly, to fractional hereditary materials (FHM). Fractional derivation index β; ∈ [0, 1/2] corresponds to a mechanical model composed by a column of massless newtonian fluid resting on a bed of independent linear springs. Fractional derivation index β ∈ [1/2, 1], corresponds, instead, to a mechanical model constituted by massless, shear-type elastic column resting on a bed of linear independent dashpots. The real-order of derivation is related to the exponent of the power-law decay of mechanical characteristics. In this paper the authors aim to introduce a multiscale fractance description of FHM in presence of stochastic fluctuations of model parameters. In this setting the random multiscale fractance may be used to capture the fluctuations of material parameters observed in experimental tests by means of proper analytical evaluation of the model statistics
Original languageEnglish
Pages (from-to)50-59
Number of pages10
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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