Journal of Textile Research ›› 2025, Vol. 46 ›› Issue (01): 95-102.doi: 10.13475/j.fzxb.20230903301

• Textile Engineering • Previous Articles     Next Articles

Constitutive model and application of fabric reinforced rubber composites

SUN Jian1,2(), WANG Tong1, CHEN Yunhui1, LIN He1,2, LIU Hui1,2, CHENG Xiaole1,2   

  1. 1. College of Mechanical and Electrical Engineering, Xi'an Polytechnic University, Xi'an, Shaanxi 710048, China
    2. Xi'an Key Laboratory of Modern Intelligent Textile Equipment, Xi'an, Shaanxi 710048, China
  • Received:2023-09-14 Revised:2024-06-23 Online:2025-01-15 Published:2025-01-15

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Abstract:

Objective Considering that rubber seals are produced in the process of vulcanization molding, rubber penetration into the fabric will affect the deformation law of the fabric, which in turn affects the overall performance of the seals, the composite of fabric and rubber is regarded as an aramid fabric rubber reinforcement layer, and the constitutive model of fabric reinforced rubber composites is applied in order to more accurately characterize the mechanical properties of the fabric reinforced rubber composites in the process of deformation under force.

Method The continuous medium mechanics theory was applied to decouple the strain energy of fabric-reinforced rubber composites, and the parameters of the constitutive model were obtained by combining with the experiment data fitting. For the established hatch sealing belt model, the conventional finite element analysis method, and the fabric reinforced rubber composite hyperelastic constitutive model were utilized to simulate the compression process of the hatch sealing belt, respectively. The simulation results of the compression of the hatch sealing belt were compared with the experimental data.

Results According to the conventional finite element analysis method, the rubber matrix and fabric are considered separately. The Yeoh hyperelastic constitutive model was chosen to characterize the rubber material, and the aramid fabric reinforcement layer was simplified as LAMINA unit. The trend of the load-compression curve per unit length obtained from the simulation analysis of the hatch sealing belt model was basically the same as that obtained from the compression experiments of the aramid fabric reinforced seals, which verified the accuracy of the finite element model. Subsequently, the fabric reinforced rubber composite hyperelastic constitutive model was applied to the simulation analysis of the compression process of the aircraft hatch, and the effects of fabric fiber stretching and fiber cross-shear between warp and weft yarns on the sealing performance of the sealing belt were fully considered. In order to investigate the effect of different fiber laying angles on the sealing performance of the hatch sealing belt, the laying mode is that the warp/weft fibers are at 0° or 45° to the axial direction of the sealing belt. The results show that: the hyperelastic constitutive model of fabric reinforced rubber composites can be used to characterize the anisotropic nonlinear material behavior of fabric reinforced composites; the maximum shear angles of 45° and 0° of fiber lay-up do not differ much, which are 19.70° and 20.60°, respectively, but the difference in the region of wrinkles is obvious. Compared with the 45° lay-up method, the 0° lay-up fiber aramid fabric rubber reinforcement layer was more anti-wrinkle and the sealing performance of the sealing belt was better. After the shear angle changes to 18°, as the shear angle continues to increase, the unit load pressure of the warp/weft fibers laid at 0° to the sealing belt axial direction shows a linear upward trend, and the sealing member has a greater reaction force on the compression strip, and the sealing effect is better. Therefore, the sealing performance of the way of laying the warp/weft fibers and sealing belt axially at 0° is better than the way of laying at 45°. The sealing performance of the hatch is directly proportional to the loading of the door frame.

Conclusion The strain energy function of fabric reinforced rubber composites was decomposed into rubber matrix strain energy, fiber stretches, and shear deformation energy by virtue of the interaction between fibers based on continuum mechanics. Application of fabric reinforced rubber constitutive model to simulate the compression process of hatch sealing belt, considering the effect of shear deformation and tensile deformation of aramid fabric fiber in the compression process of sealing belt. The sealing performance obtained from the analysis of this constitutive model is better than that of the conventional analytical model, and it is suitable for the characterization of fabric reinforced rubber composite materials in the deformation process of the anisotropic mechanical behavior.

Key words: woven fabric, rubber, fabric reinforced composite, rubber seal, constitutive model, hatch sealing belt, tightness, finite element method

CLC Number: 

  • TB332

Fig.1

Fitting curve of pure rubber uniaxial tensile experiment"

Fig.2

Tensile strain energy density W T a versus I 4 - 1  in uniaxial tensile experiment"

Fig.3

Fitting curve of shear force-shear angle"

Fig.4

Finite element modeling of hatch seal belt"

Tab.1

Parameters of rubber and aramid fabric"

橡胶基体 内部增强芳纶织物
c1 c2 c3 D E1 E2 μ
0.86 -1.42 5.23 0.099 27.70 11.80 0.18

Tab.2

Constitutive parameters of fabric-reinforced rubber composites"

橡胶基体 内部增强织物橡胶复合层
c1 c2 c3 D k1 k2 k3 k4 k5 k6
0.86 -1.42 5.23 0.099 6.30 94.30 27 350.68 0.015 0.089 0.042

Fig.5

Unit length load versus compression ratio curves for compression of hatch sealing belt"

Fig.6

Cloud diagram of shear angle distribution.(a)Fabric fibers laid at 45°; (b)Fabric fibers laid at 0°"

Fig.7

Unit load pressure-shear angle curves"

[1] GAO X H, YUAN L, FU Y T, et al. Prediction of mechanical properties on 3D braided composites with void defects[J]. Composites Part B: Engineering, 2020. DOI: 10.1016/j.compositesb.2020.108164.
[2] 徐铭涛, 嵇宇, 仲越, 等. 碳纤维/环氧树脂基复合材料增韧改性研究进展[J]. 纺织学报, 2022, 43(9): 203-210.
XU Mingtao, JI Yu, ZHONG Yue, et al. Review on toughening modification of carbon fiber/epoxy resin composites[J]. Journal of Textile Research, 2022, 43(9): 203-210.
[3] 王东辉, 戈嗣诚, 王立武, 等. 柔性舱O型密封圈密封性能分析[J]. 航天返回与遥感, 2021, 42(1): 48-56.
WANG Donghui, GE Sicheng, WANG Liwu, et al. Analysis of the sealing performance of O-ring in flexible cabin[J]. Spacecraft Recovery & Remote Sensing, 2021, 42(1): 48-56.
[4] 杨恒, 柯玉超, 王申, 等. 航空橡胶密封件力学与密封性能检测技术[J]. 航空制造技术, 2017(22): 106-109.
YANG Heng, KE Yuchao, WANG Shen, et al. Measurement technologies of mechanical and seal performance for aviation rubber seals[J]. Aeronautical Manufacturing Technology, 2017(22): 106-109.
[5] DONG Y, YANG H, YAN H, et al. Design and characteristics of fabric rubber sealing based on microchannel model[J]. Composite Structures, 2019. DOI: 10.1016/j.compstruct.2019.111463.
[6] FU Y, DONG Y. Evaluation of key performance of aircraft fabric rubber seal during flight[J]. Journal of Aircraft, 2021, 58(5): 1154-1167.
[7] XU X, YAO X, DONG Y, et al. Mechanical behaviors of non-orthogonal fabric rubber seal[J]. Composite Structures, 2021. DOI: 10.1016/j.compstruct.2020.113453.
[8] YANG H, YAO X, YAN H, et al. Anisotropic hyper-viscoelastic behaviors of fabric reinforced rubber composites[J]. Composite Structures, 2018, 187: 116-121.
[9] PENG X, GUO Z, DU T, et al. A simple anisotropic hyperelastic constitutive model for textile fabrics with application to forming simulation[J]. Composites Part B: Engineering, 2013, 52: 275-281.
[10] GONG Y, YAN D, YAO Y, et al. An anisotropic hyperelastic constitutive model with tension-shear coupling for woven composite reinforcements[J]. International Journal of Applied Mechanics, 2017. DOI: 10.1142/S1758825117500831.
[11] 黄小双, 姚远, 彭雄奇, 等. 考虑双拉耦合的复合材料编织物各向异性超弹性本构模型[J]. 复合材料学报, 2016, 33(10): 2319-2324.
HUANG Xiaoshuang, YAO Yuan, PENG Xiongqi, et al. Anisotropic hyperelastic constitutive model with biaxial tension coupling for woven fabric composites[J]. Acta Materiae Compositae Sinica, 2016, 33(10): 2319-2324.
[12] KENJA K, MADIREDDY S, VEMAGANTI K. Calibration of hyperelastic constitutive models: the role of boundary conditions, search algorithms, and experimental variability[J]. Biomechanics and Modeling in Mechanobiology, 2020, 19: 1935-1952.
[13] CHARMETANT A, VIDAL-SALLÉ E, BOISSE P. Hyperelastic modelling for mesoscopic analyses of composite reinforcements[J]. Composites Science and Technology, 2011, 71(14): 1623-1631.
[14] WANG Y Z, LUO W A, HUANG J W, et al. Simplification of hyperelastic constitutive model and finite element analysis of thermoplastic polyurethane elastomers[J]. Macromolecular Theory and Simulations, 2020. DOI: 10.1002/mats.202000009.
[15] 郭国栋, 彭雄奇, 赵宁. 一种考虑剪切作用的各向异性超弹性本构模型[J]. 力学学报, 2013, 45: 451-455.
GUO Guodong, PENG Xiongqi, ZHAO Ning, et al. An anisotropic hyperelastic constitutive model with shear interaction for cord-rubber tire composites[J]. Theoretical and Applied Mechanics, 2013, 45: 451-455.
[16] GONG Y, PENG X, YAO Y, et al. An anisotropic hyperelastic constitutive model for thermoplastic woven composite prepregs[J]. Composites Science and Technology, 2016, 128: 17-24.
[17] 张守京, 陈云辉, 孙戬. 编织角对复合材料弹性性能的影响[J]. 西安工程大学学报, 2022, 36(1): 25-30.
ZHANG Shoujing, CHEN Yunhui, SUN Jian. Effect of braiding angle on the elastic properties of composites[J]. Journal of Xi'an Polytechnic University, 2022, 36(1): 25-30.
[18] NOSRAT-NEZAMI F, GEREKE T, EBERDT C, et al. Characterisation of the shear-tension coupling of carbon-fibre fabric under controlled membrane tensions for precise simulative predictions of industrial preforming processes[J]. Composites Part A: Applied Science and Manufacturing, 2014, 67: 131-139.
[19] MOGHADDAMH S, KESHAVANARAYANA S R, YANG C, et al. Anisotropic hyperelastic constitutive modeling of in-plane finite deformation responses of commercial composite hexagonal honeycombs[J]. Journal of Sandwich Structures and Materials, 2022, 24(1): 5-34.
[20] 黄玮, 苏幼坡, 韩流涛, 等. 聚氨酯橡胶减震支座竖向性能试验研究[J]. 建筑结构学报, 2020, 41: 70-76.
HUANG Wei, SU Youpo, HAN Liutao, et al. Experimental study on vertical performance of polyurethane rubber shock absorption bearing[J]. Journal of Building Structures, 2020, 41: 70-76.
[21] 毛金威, 王新峰, 宋豪鹏, 等. 涤纶增强橡胶基复合材料各向异性超弹性本构研究[J]. 南京航空航天大学学报, 2023, 55(1): 28-34.
MAO Jinwei, WANG Xinfeng, SONG Haopeng, et al. Study on anisotropic hyperelastic constitutive model of polyester reinforced rubber composites[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2023, 55(1): 28-34.
[22] WANG P, HAMILA N, PINEAU P, et al. Thermomechanical analysis of thermoplastic composite prepregs using bias-extension test[J]. Journal of Thermoplastic Composite Materials, 2014, 27(5): 679-698.
[23] 王增辉. 飞机舱门密封带的仿真优化设计[J]. 特种橡胶制品, 2019, 40(1): 46-51.
WANG Zenghui. Simulation analysis of aircraft hatch sealing belt[J]. Special Purpose Rubber Products, 2019, 40(1): 46-51.
[24] THÖRMANN S, MARKIEWICZ M, VON ESTORFF O. On the stick-slip behaviour of water-lubricated rubber sealings[J]. Journal of Sound and Vibration, 2017, 399: 151-168.
[25] FRANKE Goularte B, ZATKO V, LION A, et al. Elastomeric door seal analysis under aircraft cabin pressure[J]. Journal of Rubber Research, 2021, 24: 301-318.
[26] 严雪, 许希武, 张超. 二维三轴编织复合材料的弹性性能分析[J]. 固体力学学报, 2013, 34: 140-151.
YAN Xue, XU Xiwu, ZHANG Chao. Analysis of elastic properties of 2D triaxial braided composites[J]. Chinese Journal of Solid Mechanics, 2013, 34: 140-151.
[27] 鲍益东, 何瑞, 宋云鹤, 等. 二维编织碳纤维增强树脂复合材料一步法铺层展开[J]. 复合材料学报, 2022, 39(7): 3144-3155.
BAO Yidong, HE Rui, SONG Yunhe, et al. One-step spreading for 2D woven carbon fiber reinforced plastics[J]. Acta Materiae Compositae Sinica, 2022, 39(7): 3144-3155.
[28] 袁修起. 飞机舱门橡胶密封件力学与密封性能研究[J]. 化工新型材料, 2021, 49(6): 249-252.
YUAN Xiuqi. Study on mechanical and seal performance of rubber seal for aircraft door[J]. New Chemical Materials, 2021, 49(6): 249-252.
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