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.
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