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An internal-state-variable based viscoelastic-plastic model for polymers

Autorzy
Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this study, a new viscoelastic-plastic constitutive model which has been formulated by utilizing the formalism of stress-like internal state variables is introduced. The developed constitutive equation allows for a good description of the inelastic material response of polymeric materials over a wide range of strain rates. An algorithm for numerical integration of the model equations has been derived. The FE implementation of the constitutive equation is widely discussed and the results of solving several exemplary problems are presented.
Rocznik
Strony
593--604
Opis fizyczny
Bibliogr. 18 poz., rys., tab.
Twórcy
autor
  • Warsaw University of Technology, Department of Mechanics and Armament Technology, Warsaw, Poland
Bibliografia
  • 1. Abdul-Hameed H., Messager T., Zaϊri F., Naϊt-Abdelaziz M., 2014, Large-strain viscoelastic-viscoplastic constitutive modeling of semi-crystalline polymers and model identification by deterministic/evolutionary approach, Computational Materials Science, 90, 241-252
  • 2. Alkas Yonan S., Soyarslan C., Haupt P., Kwiatkowski L., Tekkaya A.E., 2013, A simple finite strain non-linear visco-plastic model for thermoplastics and its application to the simulation of incremental cold forming of polyvinylchloride (PVC), International Journal of Mechanical Sciences, 66, 192-201
  • 3. Ayoub G., Zaϊri F., Fréderix C., Gloaguen J.M., Naϊt-Abdelaziz M., Seguela R., Lefebvre J.M., 2011, Effects of crystal content on the mechanical behaviour of polyethylene under finite strains: experiments and constitutive modelling, International Journal of Plasticity, 27, 492-511
  • 4. Bardella L., 2001, A phenomenological constitutive law for the nonlinear viscoelastic behaviour of epoxy resins in the glassy state, European Journal of Mechanics – A/Solids, 20, 907-924
  • 5. Ben Hadj Hamouda H., Laiarinandrasana L., Piques R., 2007, Viscoplastic behaviour of a medium density polyethylene (MDPE): constitutive equations based on double nonlinear deformation model, International Journal of Plasticity, 23, 1307-1327
  • 6. Bergström J.S., Bischoff J.E., 2010, An advanced thermomechanical constitutive model for UHMWPE, International Journal of Structural Changes in Solids, 2, 1, 31-39
  • 7. Drozdov A.D., Christiansen J. de C., 2007, Cyclic viscoplasticity of high-density polyethylene/montmorillonite clay nanocomposite, European Polymer Journal, 43, 1, 10-25 8. Hassan T., Colak O.U., Clayton P.M., 2011, Uniaxial strain and stress-controlled cyclic responses of ultrahigh molecular weigth polyethylene: experiments and model simulations, Journal of Engineering Materials and Technology, 133, 021010-1–021010-9
  • 9. Hibbit B., Karlsson B., Sorensen P., 2008, ABAQUS Theory Manual, Hibbit, Karlsson & Sorensen Inc.
  • 10. Holzapfel G.A., 2010, Nonlinear Solid Mechanics, John Wiley & Sons Ltd., New York
  • 11. Knowles J.K., 1977, The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids, International Journal of Fracture, 13, 5, 611-639
  • 12. Krairi A., Doghri I., 2014, A thermodynamically-based constitutive model for thermoplastic polymers coupling viscoelasticity, viscoplasticity and ductile damage, International Journal of Plasticity, 60, 163-181
  • 13. Kästner M., Obst M., Brummund J., Thielsch K., Ulbricht V., 2012, Inelastic behavior of polymers – experimental characterization, formulation and implementation of a material model, Mechanics of Materials, 52, 40-57
  • 14. Pipkin A.C., Rivlin R.S., 1965, Mechanics of rate-independent materials, ZAMP, 16, 3, 313-327
  • 15. Suchocki C., 2011, A finite element implementation of Knowles stored-energy function: theory, coding and applications, The Archive of Mechanical Engineering, 58, 319-346
  • 16. Suchocki C., 2013, A quasi-linear viscoelastic rheological model for thermoplastics and resins, Journal of Theoretical and Applied Mechanics, 51, 1, 117-129
  • 17. Taylor R.L., Pister K.S., Goudreau G.L., 1970, Thermomechanical analysis of viscoelastic solids, International Journal for Numerical Methods in Engineering, 2, 45-59
  • 18. Wu H.C., 2005, Continuum Mechanics and Plasticity, CRC Press, New York
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7e34bc70-b70a-42c7-80ef-8a9acd6c5bae
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