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Article overview
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The exponentiated Hencky strain energy in modelling tire derived material for moderately large deformations | | Giuseppe Montella
; Sanjay Govindjee
; Patrizio Neff
; | | Date: |
22 Sep 2015 | | Abstract: | This work presents a hyper-viscoelastic model based on the Hencky-logarithmic
strain tensor to model the response of a Tire Derived Material (TDM) undergoing
moderately large deformations. TDM is a composite made by cold forging a mix of
rubber fibers and grains, obtained by grinding scrap tires, and polyurethane
binder. The mechanical properties are highly influenced by the presence of
voids associated with the granular composition and low tensile strength due to
the weak connection at the grain-matrix interface. For these reasons, TDM use
is restricted to applications concerning a limited range of deformations.
Experimental tests show that a central feature of the response is connected to
highly nonlinear behavior of the material under volumetric deformation which
conventional hyperelastic models fail in predicting. The strain energy function
presented here is a variant of the exponentiated Hencky strain energy proposed
by Neff et al., which for moderate strains is as good as the quadratic Hencky
model and in the large strain region improves several important features from a
mathematical point of view. The proposed form of the exponentiated Hencky
energy possesses a set of parameters uniquely determined in the infinitesimal
strain regime and an orthogonal set of parameters to determine the nonlinear
response. The hyperelastic model is additionally incorporated in a finite
deformation viscoelasticity framework that accounts for the two main
dissipation mechanisms in TDMs, one at the microscale level and one at the
macroscale level. The model is capable of predicting different deformation
modes in a certain range of frequency and amplitude with a unique set of
parameters with most of them having a clear physical meaning. Moreover, by
comparing the predictions from the proposed constitutive model with
experimental data we conclude that the new constitutive model gives accurate
prediction. | | Source: | arXiv, 1509.6541 | | Services: | Forum | Review | PDF | Favorites | |
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