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Article
A Constitutive Equation for Filled Rubber under Cyclic Loading
International Journal of Non-Linear Mechanics
  • Min Liu, University of Akron Main Campus
  • Michelle S. Hoo Fatt, University of Akron, main campus
Document Type
Article
Publication Date
3-1-2011
Abstract

This paper describes experiments and the development of constitutive equations to predict the steady-state response of filled rubber under cyclic loading. An MTS servo-hydraulic machine was used to obtain the dynamic hysteresis curves for a filled rubber compound in uniaxial tension-compression. The material tests were performed with mean strains from −0.1 to 0.1, strain amplitudes ranging from 0.02 to 0.1, and strain rates between 0.01 and 10 s−1. Temporary material set, the Payne effect and rate-dependence were observed from the experimental results. A hyper-viscoelastic constitutive model was developed to characterize the dynamic response of the rubber. A cornerstone of this constitutive modeling was to devise a scheme to evaluate material set and a finite strain, non-linear viscoelastic law from the test data. Predictions of the dynamic hysteresis curves using the proposed constitutive equation were found to be in good agreement with the uniaxial test results.

Citation Information
Min Liu and Michelle S. Hoo Fatt. "A Constitutive Equation for Filled Rubber under Cyclic Loading" International Journal of Non-Linear Mechanics Vol. 46 Iss. 2 (2011) p. 446 - 456
Available at: http://works.bepress.com/michelle_hoofatt/10/