Time dependent hereditary properties of complex materials are well described by power-laws with real order exponent. This experimental observation and analogous electrical experiments, yield a description of these properties by using fractional-order operators. In this paper, elasto-viscous and viscoelastic behaviors of fractional order hereditary materials are firstly described by using fractional mathematical operators, based on recent work of some of the authors. Then, electrical analogous models are introduced. Viscoelastic models have elastic and viscous components which can be obtained by combining springs and dashpots: these models can be equivalently viewed as electrical circuits, where the spring and dashpot are analogous to the capacitance and resistance, respectively. The proposed models are validated by using modal analysis. The use of electrical analogous in viscoelasticity can better reveal the real behavior of fractional hereditary materials.

Ala, G., Di Paola, M., Francomano, E., Li, Y., Pinnola, F.P. (2014). Viscoelasticity: an electrical point of view. In IEEE 2014 International Conference on Fractional Differentiation and its Applications. IEEE.

Viscoelasticity: an electrical point of view

ALA, Guido;DI PAOLA, Mario;FRANCOMANO, Elisa;PINNOLA, Francesco Paolo
2014-01-01

Abstract

Time dependent hereditary properties of complex materials are well described by power-laws with real order exponent. This experimental observation and analogous electrical experiments, yield a description of these properties by using fractional-order operators. In this paper, elasto-viscous and viscoelastic behaviors of fractional order hereditary materials are firstly described by using fractional mathematical operators, based on recent work of some of the authors. Then, electrical analogous models are introduced. Viscoelastic models have elastic and viscous components which can be obtained by combining springs and dashpots: these models can be equivalently viewed as electrical circuits, where the spring and dashpot are analogous to the capacitance and resistance, respectively. The proposed models are validated by using modal analysis. The use of electrical analogous in viscoelasticity can better reveal the real behavior of fractional hereditary materials.
2014
Settore ING-IND/31 - Elettrotecnica
Settore ICAR/08 - Scienza Delle Costruzioni
Settore MAT/08 - Analisi Numerica
978-1-4799-2591-9
Ala, G., Di Paola, M., Francomano, E., Li, Y., Pinnola, F.P. (2014). Viscoelasticity: an electrical point of view. In IEEE 2014 International Conference on Fractional Differentiation and its Applications. IEEE.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/98292
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