The Dynamic Mechanical Properties and Constitutive Model of Fiber-reinforced Polyurea Materials

doi:10.12382/bgxb.2025.0073

Abstract

Abstract:

The dynamic mechanical property of fiber-reinforced polyurea material is studied.The dynamic compression experiments are conducted on the polyurea material specimen by using a separated Hopkinson pressure bar (SHPB).The stress-strain curves of the specimens within different strain rates at three different temperatures are obtained through the experiments.A visco-elastic constitutive model based on the standard linear solid model is established.The experimental results show that the dynamic mechanical response of fiber-reinforced polyurea is nonlinear,with the stress-strain curve consisting of a super-stress region and a hyperelastic region.As the strain increases,the super-stress value tends to stabilize,and the nonlinear term associated with strain rate in the constitutive model also gradually approaches a stable value related to the strain rate.The visco-elastic constitutive model based on the standard linear solid model can accurately describe the dynamic mechanical behavior of fiber-reinforced polyurea.The constitutive model is implemented through secondary development in LS-DYNA for simulation.In both SHPB and air blast simulations,the simulated results are in good agreement with the experimental data,which validates the accuracy of the constitutive model.

Key words: polyurea material, separated Hopkinson pressure bar test, dynamic mechanical property, constitutive model

CLC Number:

O347. 3

FU Liheng, YAO Xiangyang, WANG Luqing, MA Honghao, QI Feng. The Dynamic Mechanical Properties and Constitutive Model of Fiber-reinforced Polyurea Materials[J]. Acta Armamentarii, 2025, 46(11): 250073-.

Figures/Tables 15

Fig.1 SHPB experimental setup

Fig.2 Preliminary experimental stress-strain curve

Fig.3 Preliminary experimental stress-time curve

Fig.4 Preliminary experimental strain rate-time curve

Fig.5 SHPB test data and quasi-static data at room temperature(25℃)

Fig.6 SHPB test data at ultra-low temperature(-40℃)

Fig.7 SHPB test data at low temperature(0℃)

Fig.8 Schematic diagram of SLS model

Fig.9 Comparison of fitting results and experimental results

Table 1 Constitutive parameters of polyurea material at different temperatures

温度/℃	E₁/MPa	E₂/MPa	η/(MPa·s)
25	15000	400	0.016
0	15000	850	0.035
-40	15000	950	0.040

Fig.10 Comparison between simulation results based on secondary development and experimental results

Fig.11 Photograph of the air-blast test setup

Fig.12 Comparison of pressure-time curves of air blast experimental and simulated results

Fig.13 Blast resistance test of polyurea-steel composite structure

Fig.14 Comparisons of the simulated and test results

References 29

[1]	王军国. 喷涂聚脲加固粘土砖砌体抗动载性能试验研究及数值分析[D]. 合肥: 中国科学技术大学, 2017.
	WANG J G. Experimental and numericaI investigation of clay brick masonry walls strengthened with spary polyurea elastomer under blast loads[D]. Hefei: University of Science and Technology of China, 2017. (in Chinese)
[2]	黄微波, 宋奕龙, 马明亮, 等. 喷涂聚脲弹性体抗爆抗冲击性能研究进展[J]. 工程塑料应用, 2019, 47(1):152-157.
	HUANG W B, SONG Y L, MA M L, et al. Research progress on blast mitigation and shock resistance performance of spray polyurea elastomer[J]. Engineering Plastics Application, 2019, 47(1):152-157. (in Chinese)
[3]	刘保华, 徐文龙, 王成, 等. 接触爆炸下聚脲涂层增强钢板的抗爆性能[J]. 兵工学报, 2024, 45(5):1637-1647. doi: 10.12382/bgxb.2023.0090
	LIU B H, XU W L, WANG C, et al. Contact explosion resistance of steel plates reinforced with polyurea coating[J]. Acta Armamentarii, 2024, 45(5):1637-1647. (in Chinese) doi: 10.12382/bgxb.2023.0090
[4]	GU M, WANG H Z, YU A F, et al. Study on resistance of polyurea coated metal plates to gas explosions[J]. Polymer Testing, 2024, 132:108363. doi: 10.1016/j.polymertesting.2024.108363 URL
[5]	ZHU H J, WANG X, WANG Y T, et al. Dynamic responses of aluminum alloy plates coated with polyurea elastomer subjected to repeated blast loads:experimental and numerical investigation[J]. Thin-Walled Structures, 2023, 189:110912. doi: 10.1016/j.tws.2023.110912 URL
[6]	MU M, LIU F, LI J, et al. Influence of modified polyurea coating thickness on the blast resistance of RC slab[J]. Structures, 2024, 67:107009. doi: 10.1016/j.istruc.2024.107009 URL
[7]	ZHANG L, WANG X, JI C, et al. Effect of polyurea coating with different mechanical properties on blast resistance of aluminum alloy circular tube structures:experiments vs numerical simulations[J]. Thin-Walled Structures, 2023, 183:110361. doi: 10.1016/j.tws.2022.110361 URL
[8]	廖瑜, 石少卿, 梁朝科, 等. 聚脲-编织玻璃纤维网格布复合材料加固钢板抗冲击力学性能研究[J]. 兵工学报, 2018, 39(10):1988-1996. doi: 10.3969/j.issn.1000-1093.2018.10.015
	LIAO Y, SHI S Q, LIANG C K, et al. Dynamics performances of polyurea-woven fiberglass mesh composite reinforced steel plate subjected to shock waves[J]. Acta Armamentarii, 2018, 39(10):1988-1996. (in Chinese) doi: 10.3969/j.issn.1000-1093.2018.10.015
[9]	XIE J, PAN H Y, FENG Z Y, et al. Experimental study on the blast resistance of polyurea-coated aramid fabrics[J]. International Journal of Impact Engineering, 2025, 195:105120. doi: 10.1016/j.ijimpeng.2024.105120 URL
[10]	GRUJICIC M, SNIPES J S, RAMASWARMI S, et al. Meso-scale computational investigation of shock-wave attenuation by trailing release wave in different grades of polyurea[J]. Journal of Materials Engineering and Performance, 2014, 23:49-64. doi: 10.1007/s11665-013-0760-3 URL
[11]	AO W H, ZHOU Q, XIA Y, et al. Impact resistance and damage mechanism of polyurea coated CFRP laminates under quasi-static indentation and low velocity impact[J]. Thin-Walled Structures, 2023, 193:111258. doi: 10.1016/j.tws.2023.111258 URL
[12]	ZHANG R, JU J H, YE X J, et al. Study on the effect of mechanical and damping properties of polyurea on blast mitigation performance and protection mechanism[J]. Progress in Organic Coatings, 2024, 197:108783. doi: 10.1016/j.porgcoat.2024.108783 URL
[13]	吴冲. 玻璃纤维/ 聚脲复合材料的微观结构与力学性能研究[D]. 哈尔滨: 哈尔滨工业大学, 2013.
	WU C. Research on microstructures and mechanical properties ofglass fiber/ polyurea composites[D]. Harbin: Harbin Institute of Technology, 2013. (in Chinese)
[14]	石光明, 刘春美, 冯顺山, 等. 高弹性体复合材料动态力学性能试验研究[J]. 北京理工大学学报, 2015, 35(增刊2):182-184.
	SHI G M, LIU C M, FENG S S, et al. Experimental study on dynamic mechanical properties of polyurea plastomer pomposite material[J]. Transactions of Beijing Institute of Technology, 2015, 35(S2):182-184. (in Chinese)
[15]	CAI D Y, SONG M. High mechanical performance polyurea or ganoclay nanocomposites[J]. Composites Science and Technology, 2014, 103:44-48. doi: 10.1016/j.compscitech.2014.08.011 URL
[16]	TOADER G, RUSEN E, TEODORESCU M, et al. New polyurea MWCNTs nanocomposite films with enhanced mechanical properties[J]. Journal of Applied Polymer Science, 2017, 134(28):45061. doi: 10.1002/app.v134.28 URL
[17]	QIAN X D, SONG L, TAI Q L, et al. Graphite oxide/polyurea and graphene / polyurea nanocomposites:a comparative investigation on properties reinforcements and mechanism[J]. Composites Science and Technology, 2013, 74:228-234. doi: 10.1016/j.compscitech.2012.11.018 URL
[18]	AUCKLOO S A B, HUNG Y M. Chapter 6-synthesis and applications of polyurea composites based on fibers,microfillers,and functional materials:a review[M]// PASBAKHSH P,MOHOTTI D,PALANIANDY K,et al.Polyurea:Synthesis,Properties,Composites,Production,and Applications. Amsterdam,Netherlands: Elsevier, 2023:91-106.
[19]	CHEN D, WU H, WEI J S, et al. Nonlinear visco-hyperelastic tensile constitutive model of spray polyurea within wide strain-rate range[J]. International Journal of Impact Engineering, 2022, 163:104184. doi: 10.1016/j.ijimpeng.2022.104184 URL
[20]	WANG X, JI H B, LI X, et al. Static and dynamic compressive and tensile response of highly stretchable polyurea[J]. International Journal of Impact Engineering, 2022, 166:104250. doi: 10.1016/j.ijimpeng.2022.104250 URL
[21]	LIU Q, CHEN P W, ZHANG Y, et al. Compressive behavior and constitutive model of polyurea at high strain rates and high temperatures[J]. Materialstoday Communications, 2020, 22:100834.
[22]	TIAN S Z, YAN Q S, JIANG Y D, et al. Experimental and constitutive model investigation on the tensile mechanical properties of polyurea at wide strain-rate range[J]. Journal of Building Engineering, 2024, 94:109882. doi: 10.1016/j.jobe.2024.109882 URL
[23]	MOHOTTI D, ALI M, NGO T, et al. Strain rate dependent constitutive model for predicting the material behaviour of polyurea under high strain rate tensile loading[J]. Materials & Design, 2014, 53:830-837. doi: 10.1016/j.matdes.2013.07.020 URL
[24]	刘强, 陈鹏万, 苏健军, 等. 碳化硅与聚脲纳米复合材料拉伸力学性能和本构模型[J]. 兵工学报, 2021, 42(6):1238-1249.
	LIU Q, CHEN P W, SU J J, et al. Tensile mechanical properties and constitutive model of SiC/polyurea nanocomposites[J]. Acta Armamentarii, 2021, 42(6):1238-1249. (in Chinese) doi: 10.3969/j.issn.1000-1093.2021.06.014
[25]	QI F, GAO J, WU B Y, et al. Study on mechanical properties and high-speed impact resistance of carbon nanofibers/polyurethane composites modified by polydopamine[J]. Polymers, 2022, 14:4177. doi: 10.3390/polym14194177 URL
[26]	王礼立. 应力波基础[M]. 北京: 国防工业出版社, 2005:55-58.
	WANG L L. Foundation of stress waves[M]. Beijing: Nation Defense Industry Press, 2005:55-58. (in Chinese)
[27]	MOONEY M. A theory of large elastic deformation[J]. Journal of Applied Physics, 1940, 11(9):582-592. doi: 10.1063/1.1712836 URL
[28]	JAMES A G, GREEN A. Strain energy functions of rubber.II.the characterization of filled vulcanizates[J]. Journal of Applied Polymer Science, 1975, 19(8):2319-2330. doi: 10.1002/app.1975.070190822 URL
[29]	MORMAN K N, PAN T Y. Application of finite element analysis in the design of automotive elastomeric components[J]. Rubber Chemistry and Technology, 1988, 61(3):503-533. doi: 10.5254/1.3536198 URL