Citation: Suchocki, C.; Molak, R. Rheological properties of polyamide: experimental studies and constitutive modeling. Chinese J. Polym. Sci. 2019, 37, 178–188
Cyprian Suchocki, Rafał Molak. Rheological Properties of Polyamide: Experimental Studies and Constitutive Modeling[J]. Chinese Journal of Polymer Science, 2019, 37(2): 178-188.
Citation: Suchocki, C.; Molak, R. Rheological properties of polyamide: experimental studies and constitutive modeling. Chinese J. Polym. Sci. 2019, 37, 178–188DOI: 10.1007/s10118-019-2180-9.
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.
Rheological Properties of Polyamide: Experimental Studies and Constitutive Modeling
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.
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references
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 http://doi.org/10.1016/S0045-7825(99)00261-3 .
Holzapfel, G. A. in Nonlinear solid mechanics , John Wiley & amp; Sons Ltd., New York, 2010 .
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 http://doi.org/10.1016/j.mechmat.2012.04.011 .
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 http://doi.org/10.1016/S0021-9290(98)00077-3 .
Suchocki, C . A quasi-linear viscoelastic rheological model for thermoplastics and resins . J. Theor. Appl. Mech. , 2013 . 51 117 - 129 . .
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 http://doi.org/10.1016/S0167-6636(97)00007-0 .
Adolfsson, K . Nonlinear fractional order viscoelasticity at large strains . Nonlinear Dynam. , 2004 . 38 233 - 246 . DOI: 10.1007/s11071-004-3758-4 http://doi.org/10.1007/s11071-004-3758-4 .
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 . .
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 http://doi.org/10.1016/j.mechmat.2010.07.007 .
Ghorbel, E . A viscoplastic constitutive model for polymeric materials . Int. J. Plast. , 2008 . 24 2032 - 2058 . DOI: 10.1016/j.ijplas.2008.01.003 http://doi.org/10.1016/j.ijplas.2008.01.003 .
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 http://doi.org/10.1016/j.ijplas.2014.04.010 .
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 Test. , 2017 . 58 40 - 47 . DOI: 10.1016/j.polymertesting.2016.12.009 http://doi.org/10.1016/j.polymertesting.2016.12.009 .
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 . .
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 http://doi.org/10.1016/j.ijplas.2014.10.004 .
Suchocki, C . An internal-state-variable based viscoelastic-plastic model for polymers . J. Theor. Appl. Mech. , 2015 . 53 593 - 604 . .
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 http://doi.org/10.1002/(ISSN)1097-0207 .
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 http://doi.org/10.1007/BF00017296 .
Hibbit, B.; Karlsson, B.; Sorensen, P. in ABAQUS Theory Manual , Hibbit, Karlsson & amp; Sorensen Inc., Providence, 2008 .
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