On the Uncertainties of Master Curves for Viscoelastic Materials

William Hernandez¹; Daniel Castello¹; Carlos MAgluta¹; Ney Roitman¹

¹ Universidade Federal do Rio de Janeiro

doi:10.20906/CPS/USM-2016-0020

Resumo

The present work presents a general approach to build Master Curves for thermorheologically simple viscoelastic materials. The mechanical behavior of the material is modeled with a constitutive model based on fractional derivative operators and it is considered that the time-temperature superposition can be described by the Williams Landel Ferry equation. Information about model parameters are inferred using Statistical Inverse Analysis. Model assessments are performed using the principles of the Verification and Validation fields taking into account both measurement uncertainties and model uncertainties. More specifically, model uncertainties are obtained from Monte Carlo simulations provided by simulation of the posterior distributions of model parameters given a set of measured data. Some analyses are presented considering a viscoelastic tape produced by 3M. A mechanical prototype was specifically designed in order to favor shear mechanisms within the tape during the experimental tests. The complex shear modulus of the tape were measured for 20, 30, 35 and 40 degrees Celcius.

Palavras-chave: Statistical Inverse Problems; Bayes; Viscoleasticity; Time-Temperature Superposition; Viscoelasticity