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Polymers 2016, 8(4), 133; doi:10.3390/polym8040133

A Hyper-Viscoelastic Constitutive Model for Polyurea under Uniaxial Compressive Loading

State Key Laboratory Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
First Research Institute of The Ministry of Public Security of PRC, Beijing 100048, China
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Academic Editor: Patrick Ilg
Received: 2 March 2016 / Revised: 28 March 2016 / Accepted: 1 April 2016 / Published: 12 April 2016
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A hyper-viscoelastic constitutive model for polyurea by separating hyperelastic and viscoelastic behaviors has been put forward. Hyperelasticity represents the rate-independent responses at low strain rates, described by a three-parameter Mooney-Rivlin model and a third Ogden model. By fitting the quasi-static experimental data, the Ogden model is more appropriate to describe the hyperelastic behaviors for its better agreement at strain over 0.3. Meanwhile, viscoelasticity represents the rate-dependent responses at high strain rates, described by the Standard Linear Solids (SLS) model and the K-BKZ model. By fitting the experimental data of split Hopkinson pressure bar (SHPB), the SLS model is more appropriate to describe the viscoelastic behaviors at strain rates below 1600 s−1, but the K-BKZ model performs better at strain rates over 2100 s−1 because of the substantial increase of Young’s modulus and the state of polyurea transforming from rubbery to glassy. The K-BKZ model is chosen to describe the viscoelastic behavior, for its low Root Mean Square Error (RMSE) at strain rates below 1600 s−1. From the discussion above, the hyper-viscoelastic constitutive model is chosen to be the combination of the Ogden model and the K-BKZ model. View Full-Text
Keywords: Ogden; K-BKZ; compression; hyperelastic; viscoelastic; polyurea Ogden; K-BKZ; compression; hyperelastic; viscoelastic; polyurea

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Bai, Y.; Liu, C.; Huang, G.; Li, W.; Feng, S. A Hyper-Viscoelastic Constitutive Model for Polyurea under Uniaxial Compressive Loading. Polymers 2016, 8, 133.

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