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

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

1,†
,
2,†
,
1,†
,
1,†
and
1,*
1
State Key Laboratory Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China
2
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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Abstract

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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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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