Citation: Cyprian Suchocki, Rafał Molak. Rheological Properties of Polyamide: Experimental Studies and Constitutive Modeling[J]. Chinese Journal of Polymer Science, ;2019, 37(2): 178-188. doi: 10.1007/s10118-019-2180-9 shu

Rheological Properties of Polyamide: Experimental Studies and Constitutive Modeling

Cyprian Suchocki ^1,, ,
Rafał Molak ²

a.
Fundamental Technical Sciences Division, Warsaw University of Life Sciences, Nowoursynowska 164, 02-787 Warsaw, Poland
b.
Faculty of Materials Science and Engineering, Warsaw University of Technology, Wołoska 141, 02-507 Warsaw, Poland

Corresponding author: Cyprian Suchocki, cyprian_suchocki@sggw.pl
Received Date: 6 July 2018
Revised Date: 1 August 2018
Accepted Date: 6 August 2018
Available Online: 10 September 2018

This work is focused on simulating the rheological effects in polyamide. An experimental study is carried out in order to assess such features of polyamide as: the hysteretic behavior, the strain rate dependence, and the stress relaxation. The material response in tension is investigated. Digital images correlation method (DIC) is employed in order to measure the material compressibility. A newly developed constitutive model, which was previously used to simulate the mechanical response of polyethylene subjected to moderate strains and compressive loadings, is applied to capture the large strain, inelastic behavior of polyamide in tension. The gathered experimental data are utilized to determine the values of constitutive constants of viscoelasticity and plasticity, which describe the rheological properties of polyamide. The determined material parameters are included in the text. Different strategies for evaluating the material parameters are discussed. The proposed constitutive equation is implemented into the finite element (FE) system, ABAQUS, by taking advantage of the user subroutine UMAT, which allows to define custom material laws. Some exemplary FE simulations that were used to investigate the performance of the developed subroutine are described.
- Polyamide,
- Viscoplasticity,
- Material parameters,
- Finite element method,
- UMAT
1. [1]
  Kaliske, M. A formulation of elasticity and viscoelasticity for fibre reinforced material at small and finite strains. Comput. Meth. Appl. Mech. Eng. 2000, 185, 225-243 doi: 10.1016/S0045-7825(99)00261-3
2. [2]
  Holzapfel, G. A. in Nonlinear solid mechanics, John Wiley & Sons Ltd., New York, 2010.
3. [3]
  Bonet, J. Large strain viscoelastic constitutive models. Int. J. Sol. Struct. 2001, 38, 2953-2968 doi: 10.1016/S0020-7683(00)00215-8
4. [4]
  Kästner, M.; Obst, M.; Brummund, J.; Thielsch, K.; Ulbricht, V. Inelastic behavior of polymers – experimental characterization, formulation and implementation of a material model. Mech. Mat. 2012, 52, 40-57 doi: 10.1016/j.mechmat.2012.04.011
5. [5]
  Pioletti, D. P.; Rakotomanana, L. R.; Benvenuti, J.-F.; Leyvraz, P.-F. Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons. J. Biomech. 1998, 31, 753-757 doi: 10.1016/S0021-9290(98)00077-3
6. [6]
  Suchocki, C. A quasi-linear viscoelastic rheological model for thermoplastics and resins. J. Theor. Appl. Mech. 2013, 51, 117-129
7. [7]
  Bardenhagen, S. G.; Stout, M. G.; Gray, G. T. Three-dimensional, finite deformation, viscoplastic constitutive models for polymeric materials. Mech. Mat. 1997, 25, 235-253 doi: 10.1016/S0167-6636(97)00007-0
8. [8]
  Adolfsson, K. Nonlinear fractional order viscoelasticity at large strains. Nonlinear Dynam. 2004, 38, 233-246 doi: 10.1007/s11071-004-3758-4
9. [9]
  Garbarski, J. The application of certain memory functions to the description of linear viscoelasticity of solid polymers. J. Theor. Appl. Mech. 1992, 30, 433-456
10. [10]
  Ciambella, J.; Paolone, A.; Vidoli, S. A comparison of nonlinear integral-based viscoelastic models through compression tests on filled rubber. Mech. Mat. 2010, 42, 932-944 doi: 10.1016/j.mechmat.2010.07.007
11. [11]
  Ghorbel, E. A viscoplastic constitutive model for polymeric materials. Int. J. Plast. 2008, 24, 2032-2058 doi: 10.1016/j.ijplas.2008.01.003
12. [12]
  Krairi, A.; Doghri, I. A thermodynamically-based constitutive model for thermoplastic polymers coupling viscoelasticity, viscoplasticity and ductile damage. Int. J. Plast. 2014, 60, 163-181 doi: 10.1016/j.ijplas.2014.04.010
13. [13]
  Praud, F.; Chatzigeorgiou, G.; Bikard, J.; Meraghni, F. Phenomenological multi-mechanisms constitutive modelling for thermoplastic polymers, implicit implementation and experimental validation. Mech. Mat. 2017, 114, 9-29 doi: 10.1016/j.mechmat.2017.07.001
14. [14]
  Da Costa Mattos, H. S.; Reis, J. M. L.; de Medeiros, L. G. M. O.; Monteiro, A. H.; Teixeira, S. C. S.; Chaves, E. G. Analysis of the cyclic tensile behaviour of an elasto-viscoplastic polyamide. Polymer Testing 2017, 58, 40-47 doi: 10.1016/j.polymertesting.2016.12.009
15. [15]
  Zeng, F.; Le Grognec, P.; Lacrampe, M.-F.; Krawczak, P. A constitutive model for semi-crystalline polymers at high temperature and finite plastic strain: Application to PA6 and PE biaxial stretching, Mech. Mat. 2010, 42, 686-697
16. [16]
  Maurel-Pantel, A.; Baquet, E.; Bikard, J.; Bouvard, J. L.; Billon, N. A thermo-mechanical large deformation constitutive model for polymers based on material network description: Application to a semi-crystalline polyamide 66. Int. J. Plast. 2015, 67, 102-126 doi: 10.1016/j.ijplas.2014.10.004
17. [17]
  Suchocki, C. An internal-state-variable based viscoelastic-plastic model for polymers. J. Theor. Appl. Mech. 2015, 53, 593-604
18. [18]
  Taylor, R. L.; Pister, K. S.; Goudreau, G. L. Thermomechanical analysis of viscoelastic solids. Int. J. Num. Meth. Engng. 1970, 2, 45-59 doi: 10.1002/(ISSN)1097-0207
19. [19]
  Knowles, J. K. The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. Int. J. Fract. 1977, 13, 611-639 doi: 10.1007/BF00017296
20. [20]
  Hibbit, B.; Karlsson, B.; Sorensen, P. in ABAQUS Theory Manual, Hibbit, Karlsson & Sorensen Inc., Providence, 2008.
1. [1]
  A-Yang Wang , Sheng-Hua Zhou , Mao-Yin Ran , Xin-Tao Wu , Hua Lin , Qi-Long Zhu . Regulating the key performance parameters for Hg-based IR NLO chalcogenides via bandgap engineering strategy. Chinese Chemical Letters, 2024, 35(10): 109377-. doi: 10.1016/j.cclet.2023.109377
2. [2]
  Yi Herng Chan , Zhe Phak Chan , Serene Sow Mun Lock , Chung Loong Yiin , Shin Ying Foong , Mee Kee Wong , Muhammad Anwar Ishak , Ven Chian Quek , Shengbo Ge , Su Shiung Lam . Thermal pyrolysis conversion of methane to hydrogen (H₂): A review on process parameters, reaction kinetics and techno-economic analysis. Chinese Chemical Letters, 2024, 35(8): 109329-. doi: 10.1016/j.cclet.2023.109329
3. [3]
  Zhiwei Zhong , Yanbin Huang , Wantai Yang . A simple photochemical method for surface fluorination using perfluoroketones. Chinese Chemical Letters, 2024, 35(5): 109339-. doi: 10.1016/j.cclet.2023.109339
4. [4]
  Qingyan JIANG , Yanyong SHA , Chen CHEN , Xiaojuan CHEN , Wenlong LIU , Hao HUANG , Hongjiang LIU , Qi LIU . Constructing a one-dimensional Cu-coordination polymer-based cathode material for Li-ion batteries. Chinese Journal of Inorganic Chemistry, 2024, 40(4): 657-668. doi: 10.11862/CJIC.20240004
5. [5]
  Yu ZHANG , Fangfang ZHAO , Cong PAN , Peng WANG , Liangming WEI . Application of double-side modified separator with hollow carbon material in high-performance Li-S battery. Chinese Journal of Inorganic Chemistry, 2024, 40(6): 1218-1232. doi: 10.11862/CJIC.20230412
6. [6]
  Xin-Tong Zhao , Jin-Zhi Guo , Wen-Liang Li , Jing-Ping Zhang , Xing-Long Wu . Two-dimensional conjugated coordination polymer monolayer as anode material for lithium-ion batteries: A DFT study. Chinese Chemical Letters, 2024, 35(6): 108715-. doi: 10.1016/j.cclet.2023.108715
7. [7]
  Yue Qian , Zhoujia Liu , Haixin Song , Ruize Yin , Hanni Yang , Siyang Li , Weiwei Xiong , Saisai Yuan , Junhao Zhang , Huan Pang . Imide-based covalent organic framework with excellent cyclability as an anode material for lithium-ion battery. Chinese Chemical Letters, 2024, 35(6): 108785-. doi: 10.1016/j.cclet.2023.108785
8. [8]
  Jingxuan Liu , Shiqi Zhao , Xiang Wu . Flexible electrochemical capacitor based NiMoSSe electrode material with superior cycling and structural stability. Chinese Chemical Letters, 2024, 35(7): 109059-. doi: 10.1016/j.cclet.2023.109059
9. [9]
  Shaonan Liu , Shuixing Dai , Minghua Huang . The impact of ester groups on 1,8-naphthalimide electron transport material in organic solar cells. Chinese Journal of Structural Chemistry, 2024, 43(6): 100277-100277. doi: 10.1016/j.cjsc.2023.100277
10. [10]
  Wenhao Chen , Muxuan Wu , Han Chen , Lue Mo , Yirong Zhu . Cu₂Se@C thin film with three-dimensional braided structure as a cathode material for enhanced Cu²⁺ storage. Chinese Chemical Letters, 2024, 35(5): 108698-. doi: 10.1016/j.cclet.2023.108698
11. [11]
  Yan Cheng , Hua-Peng Ruan , Yan Peng , Longhe Li , Zhenqiang Xie , Lang Liu , Shiyong Zhang , Hengyun Ye , Zhao-Bo Hu . Magnetic, dielectric and luminescence synergetic switchable effects in molecular material [Et₃NCH₂Cl]₂[MnBr₄]. Chinese Chemical Letters, 2024, 35(4): 108554-. doi: 10.1016/j.cclet.2023.108554
12. [12]
  Erzhuo Cheng , Yunyi Li , Wei Yuan , Wei Gong , Yanjun Cai , Yuan Gu , Yong Jiang , Yu Chen , Jingxi Zhang , Guangquan Mo , Bin Yang . Galvanostatic method assembled ZIFs nanostructure as novel nanozyme for the glucose oxidation and biosensing. Chinese Chemical Letters, 2024, 35(9): 109386-. doi: 10.1016/j.cclet.2023.109386
13. [13]
  Keyang Li , Yanan Wang , Yatao Xu , Guohua Shi , Sixian Wei , Xue Zhang , Baomei Zhang , Qiang Jia , Huanhua Xu , Liangmin Yu , Jun Wu , Zhiyu He . Flash nanocomplexation (FNC): A new microvolume mixing method for nanomedicine formulation. Chinese Chemical Letters, 2024, 35(10): 109511-. doi: 10.1016/j.cclet.2024.109511
14. [14]
  Ying Li , Long-Jie Wang , Yong-Kang Zhou , Jun Liang , Bin Xiao , Ji-Shen Zheng . An improved installation of 2-hydroxy-4-methoxybenzyl (iHmb) method for chemical protein synthesis. Chinese Chemical Letters, 2024, 35(5): 109033-. doi: 10.1016/j.cclet.2023.109033
15. [15]
  Peng Zhou , Ziang Jiang , Yang Li , Peng Xiao , Feixiang Wu . Sulphur-template method for facile manufacturing porous silicon electrodes with enhanced electrochemical performance. Chinese Chemical Letters, 2024, 35(8): 109467-. doi: 10.1016/j.cclet.2023.109467
16. [16]
  Haoyang Wang , Ronghao Zhang , Yanlun Ren , Li Zhang . A convenient method for measuring gas-liquid volumetric mass transfer coefficient in micro reactors. Chinese Chemical Letters, 2024, 35(4): 108833-. doi: 10.1016/j.cclet.2023.108833
17. [17]
  Ting Li , Xinxin Zheng , Lejing Qu , Yuanyuan Ou , Sai Qiao , Xue Zhao , Yajun Zhang , Xinfeng Zhao , Qian Li . A chromatographic method for pursuing potential GPCR ligands with the capacity to characterize their intrinsic activities of regulating downstream signaling pathway. Chinese Chemical Letters, 2024, 35(10): 109792-. doi: 10.1016/j.cclet.2024.109792

Get Citation

PDF

XML

Metrics

PDF Downloads(0)
Abstract views(575)
HTML views(32)

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142