Research Papers

A Thermovisco-Hyperelastic Constitutive Model of NEPE Propellant Over a Large Range of Strain Rates

[+] Author and Article Information
Junfa Zhang

Beijing Institute of Space Long March Vehicle,
Branch 76, Mail Box 9200,
Beijing 100070, China
e-mail: junfa20070905@126.com

Jian Zheng

Nanjing University of Science and Technology,
200 Xiaolingwei Street,
Nanjing 210094, China
e-mail: zhengjian_hello@163.com

Xiong Chen

Nanjing University of Science and Technology,
200 Xiaolingwei Street,
Nanjing 210094, China
e-mail: chenxiong@njust.edu.cn

Chaoxiang Sun

Nanjing University of Science and Technology,
200 Xiaolingwei Street,
Nanjing 210094, China
e-mail: chaoxiang110120@163.com

Jinsheng Xu

Nanjing University of Science and Technology,
200 Xiaolingwei Street,
Nanjing 210094, China
e-mail: 13913884552@163.com

1Corresponding author.

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received August 20, 2013; final manuscript received March 22, 2014; published online April 29, 2014. Assoc. Editor: Irene Beyerlein.

J. Eng. Mater. Technol 136(3), 031002 (Apr 29, 2014) (8 pages) Paper No: MATS-13-1150; doi: 10.1115/1.4027291 History: Received August 20, 2013; Revised March 22, 2014

The uniaxial compressive mechanical curves of nitrate ester plasticized polyether (NEPE) propellant under different temperatures and strain rates have been obtained with a universal testing machine and modified split Hopkinson pressure bar (SHPB). The experimental results show that the mechanical properties of NEPE propellant are both rate dependent and temperature dependent. With decreasing temperature or increasing strain rate, the modulus and rigidity obviously increase. Based on the previous models proposed by Yang and Pouriayevali, we propose a modified viscohyperelastic constitutive model which can describe the mechanical response over a large range of strain rates. Then we add a rate-dependent temperature item into the modified model to make a thermovisco-hyperelastic constitutive model. By comparing the experimental results with the model, we find that the thermovisco-hyperelastic constitutive model can correctly describe the uniaxial compressive mechanical properties of NEPE propellant at different temperatures and over a large range of strain rates from the static state to 4500 s−1.

Copyright © 2014 by ASME
Your Session has timed out. Please sign back in to continue.


Guo, X., Zhang, X. P., and Zhang, W., 2007, “Effect of Tensile Rate on Mechanical Properties of NEPE Propellant,” J. Solid Rocket Technol, 30(4), pp. 321–327.
Li, S. N., Liu, Y., Tuo, X. L., and Wang, X. G., 2008, “Mesoscale Dynamic Simulation on Phase Separation Between Plasticizer and Binder in NEPE Propellants,” Polymer, 49(11), pp. 2775–2780. [CrossRef]
Huang, Z. P., Nie, H. Y., Zhang, Y. Y., Tan, L. M., Yin, H. L., and Ma, X. G., 2012, “Migration Kinetics and Mechanisms of Plasticizers, Stabilizers at Interfaces of NEPE Propellant/HTPB Liner/EDPM Insulation,” J. Hazard. Mater., 229–230, pp. 251–257. [CrossRef]
Zhang, J. F., Ju, Y. T., Sun, C. X., and Hu, S. Q., 2013, “Research of the Dynamic Mechanical Properties of NEPE Propellant,” J. Solid Rocket Technol., 36(3), pp. 358–362.
Bergström, J. S., and Boyce, M. C., 1998, “Constitutive Modeling of the Large Strain Time-Dependent Behavior of Elastomers,” J. Mech. Phys. Solids, 46(5), pp. 931–954. [CrossRef]
Bergström, J. S., and Boyce, M. C., 2001, “Constitutive Modeling of the Time-Dependent and Cyclic Loading of Elastomers and Application to Soft Biological Tissues,” Mech. Mater., 33(9), pp. 523–530. [CrossRef]
Shim, V. P. W., Yang, L. M., Lim, C. T., and Law, P. H., 2004, “A Visco-Hyperelastic Constitutive Model to Characterize Both Tensile and Compressive Behavior of Rubber,” J. Appl. Polym. Sci., 92(1), pp. 523–531. [CrossRef]
Yang, L. M., Shim, V. P. W., and Lim, C. T., 2000, “A Visco-Hyperelastic Approach to Modelling the Constitutive Behaviour of Rubber,” Int. J. Impact Eng., 24(6–7), pp. 545–560. [CrossRef]
Pouriayevali, H., Guo, Y. B., and Shim, V. P. W., 2011, “A Visco-Hyperelastic Constitutive Description of Elastomer Behaviour at High Strain Rates,” Proc. Eng., 10, pp. 2274–2279. [CrossRef]
Pouriayevali, H., Guo, Y. B., and Shim, V. P. W., 2012, “A Constitutive Description of Elastomer Behaviour at High Strain Rates—A Strain-Dependent Relaxation Time Approach,” Int. J. Impact Eng., 47, pp. 71–78. [CrossRef]
Song, B., and Chen, W. N., 2003, “One-Dimensional Dynamic Compressive Behavior of EPDM Rubber,” J. Eng. Mater. Technol., 125(3), pp. 294–301. [CrossRef]
Song, B., Chen, W. N., and Cheng, M., 2004, “Novel Model for Uniaxial Strain-Rate-Dependent Stress–Strain Behavior of Ethylene–Propylene–Diene Monomer Rubber in Compression or Tension,” J. Appl. Polym. Sci., 92(3), pp. 1553–1558. [CrossRef]
Huang, C. Y., Wang, V. M., Flatow, E. L., and Mow, V. C., 2009, “Temperature-Dependent Viscoelastic Properties of the Human Supraspinatus Tendon,” J. Biomech., 42(4), pp. 546–549. [CrossRef] [PubMed]
Magnenet, V., Rahouadj, R., Ganghoffer, J. F., and Cunat, C., 2009, “Continuous Symmetry Analysis of a Dissipative Constitutive Law: Application to the Time-Temperature Superposition,” Eur. J. Mech., A, 28(4), pp. 744–751. [CrossRef]
Xu, J. S., Ju, Y. T., Han, B., Zhou, C. S., and Zheng, J., 2012, “Research on Relaxation Modulus of Viscoelastic Materials Under Unsteady Temperature States Based on TTSP,” Mech. Time-Depend. Mater., 17(4), pp. 543–556. [CrossRef]
Luo, W. B., Wang, C. H., Hu, X. L., and Yang, T. Q., 2012, “Long-Term Creep Assessment of Viscoelastic Polymer by Time-Temperature-Stress Superposition,” Acta Mech. Solida Sin., 25(6), pp. 571–578. [CrossRef]
Zhu, Z. X., Xu, D. B., and Wang, L. L., 1988, “Thermoviscoelastic Constitutive Equation and Time-Temperature Equivalence of Resin at High Strain Rates,” J. Ningbo Univ., 1(1), pp. 58–68.
Zhu, G. R., Zhu, X. X., and Huang, X. S., 1993, “The Rate-Temperature Equivalence of Viscoelastic Behavior for Glassy Polymer PMMA,” Acta. Mech. Sin., 25(2), pp. 226–231.
Samantaray, D., Mandal, S., Borah, U., Bhaduri, A. K., and Sivaprasad, P. V., 2009, “A Thermo-Viscoplastic Constitutive Model to Predict Elevated-Temperature Flow Behaviour in a Titanium-Modified Austenitic Stainless Steel,” Mater. Sci. Eng., A, 526(1–2), pp. 1–6. [CrossRef]
Hou, Q. Y., and Wang, J. T., 2012, “A Modified Johnson–Cook Constitutive Model for Mg–Gd–Y Alloy Extended to a Wide Range of Temperatures,” Comput. Mater. Sci., 50(1), pp. 147–152. [CrossRef]
Xu, Z., and Huang, F., 2012, “Plastic Behavior and Constitutive Modeling of Armor Steel Over Wide Temperature and Strain Rate Ranges,” Acta Mech. Solida Sin., 25(6), pp. 598–608. [CrossRef]
Samantaray, D., Mandal, S., and Bhaduri, A. K., 2009, “A Comparative Study on Johnson Cook, Modified Zerilli–Armstrong and Arrhenius-Type Constitutive Models to Predict Elevated Temperature Flow Behaviour in Modified 9Cr–1Mo Steel,” Comput. Mater. Sci., 47(2), pp. 568–576. [CrossRef]
Li, J., Li, F., Cai, J., Wang, R. T., Yuan, Z. W., and Ji, G. L., 2013, “Comparative Investigation on the Modified Zerilli–Armstrong Model and Arrhenius-Type Model to Predict the Elevated-Temperature Flow Behaviour of 7050 Aluminium Alloy,” Comput. Mater. Sci., 71, pp. 56–65. [CrossRef]
Kolsky, H., 1949, “An Investigation of the Mechanical Properties of Materials at Very High Rates of Loading,” Proc. Phys. Soc. Ser., B, 62(11), pp. 676–700. [CrossRef]
Forrestal, M. J., Wright, T. W., and Chen, W., 2007, “The Effect of Radial Inertia on Brittle Samples During the Split Hopkinson Pressure Bar Test,” Int. J. Impact Eng., 34(3), pp. 405–411. [CrossRef]
Dioh, N. N., Leevers, P. S., and Williams, J. G., 1993, “Thickness Effects in Split Hopkinson Pressure Bar Tests,” Polymer, 34(20), pp. 4230–4234. [CrossRef]
Gray, G. T., and Blumenthal, W. R., 2000, “Split-Hopkinson Pressure Bar of Soft Materials,” ASM Handbook (Mechanical and Test Evaluation, Vol. 8), ASM International, Detroit, MI, pp. 488–496.
Chen, W. N., Lu, F., Frew, D. J., and Forrestal, M. J., 2002, “Dynamic Compression Testing of Soft Materials,” ASME J. Appl. Mech., 69(3), pp. 214–223. [CrossRef]
Lim, J., Hong, J., Chen, W. N., and Weerasooriya, T., 2011, “Mechanical Response of Pig Skin Under Dynamic Tensile Loading,” Int. J. Impact Eng., 38(2–3), pp. 130–135. [CrossRef]
Song, B., Ge, Y., Chen, W. W., and Weerasooriya, T., 2007, “Radial Inertia Effects in Kolsky Bar Testing of Extra-Soft Specimens,” Exp. Mech., 47(5), pp. 659–670. [CrossRef]
Song, B., Chen, W. N., Yanagita, T., and Frew, D. J., 2005, “Temperature Effects on Dynamic Compressive Behavior of an Epoxy Syntactic Foam,” Compos. Struct., 67(3), pp. 289–298. [CrossRef]
Hasegawa, N., Okamoto, H., Kato, M., and Usuki, A., 2000, “Preparation and Mechanical Properties of Polypropylene–Clay Hybrids Based on Modified Polypropylene and Organophilic Clay,” J. Appl. Polym. Sci., 78(11), pp. 1918–1922. [CrossRef]
Bernstein, B., Kearsley, A., and Zapas, L. J., 1965, “A Study of Stress Relaxation With Finite Strain,” Rubber Chem. Technol., 38(1), pp. 76–89. [CrossRef]
Wineman, A., 2009, “Nonlinear Viscoelastic Solids—A Review,” Math. Mech. Solids, 14(3), pp. 300–366. [CrossRef]


Grahic Jump Location
Fig. 1

Specimen of dynamic experiment

Grahic Jump Location
Fig. 2

Schematic of the split Hopkinson pressure bar setup, including temperature controlling box

Grahic Jump Location
Fig. 4

Histories of stress and strain rate

Grahic Jump Location
Fig. 5

Compressive curves of 273 K at low strain rates

Grahic Jump Location
Fig. 6

Compressive curves of 1.667 × 10−2 s−1 at different temperatures

Grahic Jump Location
Fig. 7

Compressive curves of 273 K at different strain rates

Grahic Jump Location
Fig. 8

Compressive curves of 3500 s−1 at different temperatures

Grahic Jump Location
Fig. 9

Physical model of viscohyperelasticity

Grahic Jump Location
Fig. 10

Relationship of σ(T)/σ(T0) − T

Grahic Jump Location
Fig. 11

Relationship of k-ln(ɛ·/ɛ·0)

Grahic Jump Location
Fig. 13

Comparison between experiment results and the model results



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In