In this paper a non-linear stress-strain relation based on an integral formulation with a power-law kernel is proposed. This constitutive law is able to reproduce both the viscoelastic behavior and the inelastic irreversible phenomenon. It is shown how the proposed stress-strain law is capable to fit experimental data obtained from tensile tests on two kind of metal alloys. Such best-fitting procedure have shown the accuracy of the proposed model and its results are compared to other ones obtained with the aid of classical non-linear constitutive law.
A non-linear stress-strain relation endowed with fractional derivative elements / Pinnola, F. P.; Zavarise, G.. - (2018). (Intervento presentato al convegno International Conference on Fractional Differentiation and its Applications (ICFDA) 2018 tenutosi a Amman Giordania nel 16-18/07/2018) [10.2139/ssrn.3270345].
A non-linear stress-strain relation endowed with fractional derivative elements
Pinnola F. P.;
2018
Abstract
In this paper a non-linear stress-strain relation based on an integral formulation with a power-law kernel is proposed. This constitutive law is able to reproduce both the viscoelastic behavior and the inelastic irreversible phenomenon. It is shown how the proposed stress-strain law is capable to fit experimental data obtained from tensile tests on two kind of metal alloys. Such best-fitting procedure have shown the accuracy of the proposed model and its results are compared to other ones obtained with the aid of classical non-linear constitutive law.| File | Dimensione | Formato | |
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