An improved visco-hyperelastic constitutive behaviour of NEPE propellant at low and high strain rates

SUN Zhengwei; XU Jinsheng; ZHOU Changsheng; CHEN Xiong; DU Hongying

doi:10.11883/bzycj-2020-0343

Volume 41 Issue 3

Mar. 2021

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2021 > 41(3): 031407

SUN Zhengwei, XU Jinsheng, ZHOU Changsheng, CHEN Xiong, DU Hongying. An improved visco-hyperelastic constitutive behaviour of NEPE propellant at low and high strain rates[J]. Explosion And Shock Waves, 2021, 41(3): 031407. doi: 10.11883/bzycj-2020-0343

Citation:

SUN Zhengwei, XU Jinsheng, ZHOU Changsheng, CHEN Xiong, DU Hongying. An improved visco-hyperelastic constitutive behaviour of NEPE propellant at low and high strain rates[J]. Explosion And Shock Waves, 2021, 41(3): 031407. doi: 10.11883/bzycj-2020-0343

Citation:

SUN Zhengwei, XU Jinsheng, ZHOU Changsheng, CHEN Xiong, DU Hongying. An improved visco-hyperelastic constitutive behaviour of NEPE propellant at low and high strain rates[J]. Explosion And Shock Waves, 2021, 41(3): 031407. doi: 10.11883/bzycj-2020-0343

PDF( 2724 KB)

An improved visco-hyperelastic constitutive behaviour of NEPE propellant at low and high strain rates

doi: 10.11883/bzycj-2020-0343

1.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
2.
Technology Center, Jinxi Industries Group Corporation Ltd., Taiyuan 030027, Shanxi, China

Received Date: 2020-09-22
Rev Recd Date: 2020-12-18

Available Online: 2021-03-05

Publish Date: 2021-03-10

Abstract

Abstract

In order to study the mechanical properties of NEPE propellant at low and high strain rates, the quasi-static and impact eperiments of NEPE propellant were carried out by the electronic universal testing machine and split Hopkinson bar, and the stress-strain curves of NEPE propellant under different strain rates (1.667×10⁻⁴−4 500 s⁻¹) were obtained by processing the experiment data. By analyzing the stress-strain curve of low and high strain rates experiment, it can be found that NEPE propellant has obvious nonlinear elasticity and strain rate sensitivity. With the increase of strain rate, the strength, yield stress and elastic modulus of the material increase significantly. Compared with low strain rate, the strain rate sensitivity of the material at high strain rate is higher. Under the high speed impact, a large amount of heat is generated inside the material and cannot be released in time, which makes the internal temperature of the material rise, leading to softening effect of the material and reduction of mechanical properties. In this paper, a nonlinear visco-hyperelastic constitutive model is established to describe the mechanical properties of NEPE propellant at low and high strain rates, in which the Rivlin strain energy function is used to describe the static hyperelastic behaviour, and an integral constitutive model is used to characterize the dynamic response of the material. Considering that the relaxation time has strain rate correlation, a rate-dependent relaxation function is adopted in this paper to replace the traditional Prony series. The hyperelastic parameters were obtained by fitting the hyperelastic part of the constitutive model with extremely slow compression experiment data, and then the other parameters were obtained by fitting the constitutive model with quasi-static and dynamic experiment data. It was proved that the model could well describe the mechanical properties of NEPE propellant at low and high strain rates by the good coincidence degree between the prediction curve and the experiment curve under different strain rates.
- NEPE propellant,
- low and high strain rates,
- constitutive model,
- relaxation function,
- nonlinear

FullText(HTML)

References(22)

References

[1]	LIU X, AO W, LIU H, et al. Aluminum agglomeration on burning surface of NEPE propellants at 3−5 MPa [J]. Propellants, Explosives, Pyrotechnics, 2017, 42(3): 260–268. DOI: 10.1002/prep.201600131.
[2]	MOONEY M. A theory of large elastic deformation [J]. Journal of Applied Physics, 1940, 11(9): 582–592. DOI: 10.1063/1.1712836.
[3]	RIVLIN R S. Large elastic deformations of isotropic materials: II: some uniqueness theorems for pure, homogeneous deformation [J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1948, 240(822): 491–508. DOI: 10.1098/rsta.1948.0003.
[4]	OGDEN R W. Large deformation isotropic elasticity: on the correlation of theory and experiment for incompressible rubberlike solids [J]. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1972, 326(1567): 565–584. DOI: 10.1098/rspa.1972.0026.
[5]	YEOH O H. Some forms of the strain energy function for rubber [J]. Rubber Chemistry and Technology, 1993, 66(5): 754–771. DOI: 10.5254/1.3538343.
[6]	DUNCAN E J S, MARGETSON J. A nonlinear viscoelastic theory for solid rocket propellants based on a cumulative damage approach [J]. Propellants, Explosives, Pyrotechnics, 1998, 23(2): 94–104. DOI: 10.1002/(SICI)1521-4087(199804)23:2<94::AID-PREP94>3.0.CO;2-C.
[7]	HINTERHOELZL R M, SCHAPERY R A. FEM implementation of a three-dimensional viscoelastic constitutive model for particulate composites with damage growth [J]. Mechanics of Time-Dependent Materials, 2004, 8(1): 65–94. DOI: 10.1023/B:MTDM.0000027683.06097.76.
[8]	朱兆祥, 徐大本, 王礼立. 环氧树脂在高应变率下的热粘弹性本构方程和时温等效性 [J]. 宁波大学学报, 1988(1): 58–67. ZHU Z X, XU D B, WANG L L. Thermoviscoelastic constitutive equation and time-temperature equivalence of epoxy resin at high strain rates [J]. Journal of Ningbo University, 1988(1): 58–67.
[9]	常新龙, 赖建伟, 张晓军, 等. HTPB推进剂高应变率粘弹性本构模型研究 [J]. 推进技术, 2014, 35(1): 123–127. DOI: 10.13675/j.cnki.tjjs.2014.01.001. CHANG X L, LAI J W, ZHANG X J, et al. High strain-rate viscoelastic constitutive model for HTPB propellant [J]. Journal of Propulsion Technology, 2014, 35(1): 123–127. DOI: 10.13675/j.cnki.tjjs.2014.01.001.
[10]	杨龙, 谢侃, 裴江峰, 等. HTPB推进剂拉伸力学行为的应变速率相关超弹本构模型 [J]. 推进技术, 2017, 38(3): 687–694. DOI: 10.13675/j.cnki.tjjs.2017.03.027. YANG L, XIE K, PEI J F, et al. A strain-rate-dependent hyperelastic constitutive model for tensile mechanical behaviour of HTPB propellant [J]. Journal of Propulsion Technology, 2017, 38(3): 687–694. DOI: 10.13675/j.cnki.tjjs.2017.03.027.
[11]	WANG Z J, QIANG H F, WANG T J, et al. A thermovisco-hyperelastic constitutive model of HTPB propellant with damage at intermediate strain rates [J]. Mechanics of Time-Dependent Materials, 2018, 22(3): 291–314. DOI: 10.1007/s11043-017-9357-9.
[12]	GUO H, GUO W G, AMIRKHIZI A V. Constitutive modeling of the tensile and compressive deformation behavior of polyurea over a wide range of strain rates [J]. Construction and Building Materials, 2017, 150: 851–859. DOI: 10.1016/j.conbuildmat.2017.06.055.
[13]	韩龙, 许进升, 封涛, 等. 考虑细观脱湿损伤的NEPE推进剂粘弹性本构模型研究 [J]. 推进技术, 2017, 38(8): 1885–1892. DOI: 10.13675/j.cnki.tjjs.2017.08.027. HAN L, XU J S, FENG T, et al. Research on viscoelastic constitutive model for NEPE composite propellant with meso-mechanics damage due to particle dewetting [J]. Journal of Propulsion Technology, 2017, 38(8): 1885–1892. DOI: 10.13675/j.cnki.tjjs.2017.08.027.
[14]	DAVIES R M. A critical study of the Hopkinson pressure bar [J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1948, 240(821): 375–457. DOI: 10.1098/rsta.1948.0001.
[15]	KOLSKY H. An investigation of the mechanical properties of materials at very high rates of loading [J]. Proceedings of the Physical Society. Section B, 1949, 62(11): 676. DOI: 10.1088/0370-1301/62/11/302.
[16]	YANG L M, SHIM V P W, LIM C T. A visco-hyperelastic approach to modelling the constitutive behaviour of rubber [J]. International Journal of Impact Engineering, 2000, 24(6−7): 545–560. DOI: 10.1016/S0734-743X(99)00044-5.
[17]	Van SLIGTENHORST C, CRONIN D S, BRODLAND G W. High strain rate compressive properties of bovine muscle tissue determined using a split Hopkinson bar apparatus [J]. Journal of Biomechanics, 2006, 39(10): 1852–1858. DOI: 10.1016/j.jbiomech.2005.05.015.
[18]	RIVLIN R S. Some topics in finite elasticity [C] // Proceedings of the First Symposium on Naval Structural Mechanics, 1960: 169–198. DOI: 10.1007/978-1-4612-2416-7_25.
[19]	TRUESDELL C, NOLL W. The non-linear field theories of mechanics [M]. Berlin: Springer, 1992. DOI: 10.1007/978-3-662-13183-1.
[20]	KHAJEHSAEID H, ARGHAVANI J, NAGHDABADI R, et al. A visco-hyperelastic constitutive model for rubber-like materials: a rate-dependent relaxation time scheme [J]. International Journal of Engineering Science, 2014, 79: 44–58. DOI: 10.1016/j.ijengsci.2014.03.001.
[21]	FORRESTAL M J, WRIGHT T W, CHEN W. The effect of radial inertia on brittle samples during the split Hopkinson pressure bar test [J]. International Journal of Impact Engineering, 2007, 34(3): 405–411. DOI: 10.1016/j.ijimpeng.2005.12.001.
[22]	DAVIES E D H, HUNTER S C. The dynamic compression testing of solids by the method of the split Hopkinson pressure bar [J]. Journal of the Mechanics and Physics of Solids, 1963, 11(3): 155–179. DOI: 10.1016/0022-5096(63)90050-4.