9 April 2013 Uncertainty quantification and stochastic-based viscoelastic modeling of finite deformation elastomers
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Abstract
Material parameter uncertainty is a key aspect of model development. Here we quantify parameter uncertainty of a viscoelastic model through validation on rate dependent deformation of a dielectric elastomer that undergoes finite deformation. These materials are known for there large field induced deformation and applications in smart structures, although the rate dependent viscoelastic effects are not well understood. To address this issue, we first quantify hyperelastic and viscoelastic model uncertainty using Bayesian statistics by comparing a linear viscoelastic model to uniaxial rate dependent experiments. The probability densities, obtained from the Bayesian statistics, are then used to formulate a refined model that incorporates the probability densities directly within the model using homogenization methods. We focus on the uncertainty of the viscoelastic aspect of the model to show under what regimes does the stochastic homogenization framework provides improvements in predicting viscoelastic constitutive behavior. It is show that VHB has a relatively narrow probability distribution on the viscoelastic time constants. This supports use of a discrete viscoelastic model over the homogenized model.
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William S. Oates, William S. Oates, Michael Hays, Michael Hays, Paul Miles, Paul Miles, Ralph Smith, Ralph Smith, } "Uncertainty quantification and stochastic-based viscoelastic modeling of finite deformation elastomers", Proc. SPIE 8687, Electroactive Polymer Actuators and Devices (EAPAD) 2013, 86871O (9 April 2013); doi: 10.1117/12.2009706; https://doi.org/10.1117/12.2009706
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