Open Access

ARTICLE

A 3-D Visco-Hyperelastic Constitutive Model for Rubber with Damage for Finite Element Simulation

by Ala Tabiei¹, Suraush Khambati²

1 Associate Professor. School of Advance Structures, College of Engineering and Applied Sciences,University of Cincinnati, OH 45221-0071, USA. E-mail: ala.tabiei@uc.edu
2 Graduate Student. School of Advance Structures, College of Engineering and Applied Sciences,University of Cincinnati, OH 45221-0071, USA. E-mail: khambasq@mail.uc.edu

Computer Modeling in Engineering & Sciences 2015, 105(1), 25-45. https://doi.org/10.3970/cmes.2015.105.025

Abstract

A constitutive model to describe the behavior of rubber from low to high strain rates is presented. For loading, the primary hyperelastic behavior is characterized by the six parameter Ogden’s strain-energy potential of the third order. The rate-dependence is captured by the nonlinear second order BKZ model using another five parameters, having two relaxation times. For unloading, a single parameter model has been presented to define Hysteresis or continuous damage, while Ogden’s two term model has been used to capture Mullin’s effect or discontinuous damage. Lastly, the Feng-Hallquist failure surface dictates the ultimate failure for element deletion. The proposed model can accurately predict the response of rubber using a limited set of experimental data. The model has been validated here for the case of rubber but can be extended to a wide range of polymers.

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Keywords

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