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The analytical study comprised the assessment of the accuracy of different empirical (relaxation) models in describing the shear modulus reduction with temperature of those polymeric foams.
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In unloading reloading cycles, the non-linear shear-modulus reduction with shear strain amplitude is considered.
Three analytical models with increasing complexity, all based on minimization of complementary energy, are compared in their ability to predict shear modulus reduction of laminates with intralaminar cracks in 90-layer.
The measured low and high strain modulus compares well with published modulus reduction functions.
The average sand curves after Seed and Idriss [18] are used to model the modulus reduction and damping ratio relationship with shear strain (Fig. 7).
The soil nonlinear behavior is most often characterized by a degradation of its mechanical properties, involving a shear modulus reduction and a damping increase with increasing shear strain; it basically results in deamplifying the ground motion and shifting the frequency response toward lower values (Bonilla et al. 2005; Régnier et al. 2013, 2016).
The results of this study show that while statistically significant differences were observed for the damage response of the two materials, both share a similar three phase modulus reduction over their life span with complete failure rapidly ensuing at damage levels above 30%.
Finally, investigating resilient modulus vs. cycle curves, it was revealed that SBS with elastomeric property predominance resulted in resilient modulus reduction as the content increases while Rheofalt and ECB showed reverse trend with their content increase.
In addition, the identified modulus reduction and damping curves in the two-layer system are consistent with those obtained in a laboratory test on a small specimen.
The adhesive tensile strength showed a reduction with the addition of nanoclay at elevated temperatures, however, improvement in tensile modulus was found for all nanoclay addition.
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