TY - JOUR
T1 - The multiscale stochastic model of fractional hereditary materials (FHM)
AU - Zingales, Massimiliano
AU - Di Paola, Mario
AU - Di Paola, Mario
AU - Zingales, Massimiliano
PY - 2013
Y1 - 2013
N2 - 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
AB - 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
KW - Fractional Derivatives
KW - Fractional Hereditariness
KW - Multiscale Fractance
KW - Random models
KW - Fractional Derivatives
KW - Fractional Hereditariness
KW - Multiscale Fractance
KW - Random models
UR - http://hdl.handle.net/10447/74529
M3 - Article
VL - 6
SP - 50
EP - 59
JO - PROCEDIA IUTAM
JF - PROCEDIA IUTAM
SN - 2210-9838
ER -