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research-article

Analysis of fractional viscoelastic material with mechanical parameters dependent on random temperature

[+] Author and Article Information
Gioacchino Alotta

Dipartimento di Ingegneria Civile, Ambientale e Aerospaziale (DICAM) Universitá degli Studi di Palermo Viale delle Scienze Ed. 8, 90128 Palermo, Italy
gioacchino.alotta@unipa.it

Natalia Colinas-Armijo

Dipartimento di Ingegneria Civile, Ambientale e Aerospaziale (DICAM) Universitá degli Studi di Palermo Viale delle Scienze Ed. 8, 90128 Palermo, Italy
natalia.colinasarmijo@unipa.it

1Corresponding author.

ASME doi:10.1115/1.4036704 History: Received June 22, 2016; Revised January 04, 2017

Abstract

It is well known that mechanical parameters of polymeric materials, as for example epoxy resin, are strongly influenced by the temperature. On the other hand in many applications the temperature is not known exactly during the design process and this introduce uncertainties in the prevision of the behaviour also when the loads are deterministic. For this reason, in this paper, the mechanical behaviour of an epoxy resin is characterized by means of a fractional viscoelastic model at different temperatures; then a simple method to characterize the response of the fractional viscoelastic material at different temperatures modeled as a random variable with assigned probability density function subjected to deterministic loads is presented. It is found that first- and second-order statistical moments of the response can be easily evaluated only by the knowledge of the probability density function of the temperature and the behaviour of the parameters with the temperature. Comparison with Monte Carlo simulations are also performed in order to assess the accuracy and the reliability of the method.

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