A Comparative Study on the Viscoelastic Models for Rubbery Materials

Abstract:

The rubbery materials play an important role in the acoustic metamaterials composed of locally resonant structures. To determine the unusual behavior of the dynamic mass density and bulk modulus in acoustic metamaterials in detail, better understanding of the viscoelasticity of rubbery materials is necessary. In the present work, we demonstrated the difference between the fractional and integer constitutive models in describing the viscoelastic behaviors in terms of the natural rubber (NR) and silicone rubber (SR). Test results for the relaxation modulus show that the Maxwell model is not suitable for NR and SR. The fractional Scott-Blair model gave a better estimation for the relaxation modulus but had a more sophisticated relation than the classical Maxwell model did. Compared with the other constitutive models, the fractional Maxwell model gave a better description of the mechanical properties for NR and SR, but it involved four independent parameters to be determined experimentally. By fitting test results in the double logarithmic plot of the modulus and loading time, all the parameters of the fractional Maxwell model were obtained. The present work provided a base for the analysis of the membrane-type acoustic metamaterials.

• Periodical: Advanced Materials Research (Volume 905)
• Pages: 176-180
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.905.176
• Online since: April 2014
• Authors: Zhi Min Xie*, Jing Zhang, You Shan Wang
• Keywords: Fractional Constitutive Model, Relaxation Modulus, Rubber, Viscoelasticity

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