Model to predict the viscoelastic response of a semi-crystalline polymer under complex cyclic mechanical loading and unloading conditions

Mechanics of Time-Dependent Materials

Volumn 11, Issue 1, 2007, Pages 47-60

  Yakimets, Iryna ^a   Lai, Dawei ^b   Guigon, Michèle ^b  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

Non linear rheological model; Semi crystalline polymer; Viscoelasticity

Indexed keywords

CYCLIC LOADS; NONLINEAR ANALYSIS; RHEOLOGY; VISCOELASTICITY;

CYCLIC MECHANICAL LOADING; NONLINEAR RHEOLOGICAL MODELS; SEMI CRYSTALLINE POLYMERS; UNLOADING CONDITIONS;

LIQUID CRYSTAL POLYMERS;

EID: 34547496288     PISSN: 13852000     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11043-007-9031-8     Document Type: Article

References (22)

1. Arzoumanidis, G.A., Liechti, K.M.: Linear viscoelastic property measurement and its significance for some nonlinear viscoelasticity models. Mech. Time-Depend. Mat. 7(3-4), 209-250 (2003)
2. Brusselle-Dupend, N., Lai, D., Feaugas, X., Guigon, M., Clavel, M.: Experimental characterization and modeling of the uniaxial mechanical behavior of polypropylene before necking. Oil Gas Sci. Technol. 57(2), 155-168 (2002)
3. Brusselle-Dupend, N., Lai, D., Feaugas, X., Guigon, M., Clavel, M.: Mechanical behavior of a semicrystalline polymer before necking. Part II: Modeling of uniaxial behavior. Polym. Eng. Sci. 43(2), 501-518 (2003)
4. Drozdov, A.D., Christiansen, J.D.: Constitutive equations for the viscoplastic response of isotactic polypropylene in cyclic tests: The effect of strain rate. Polym. Eng. Sci. 44(3), 548-556 (2004)
5. Drozdov, A.D., Christiansen, J.D.: The effect of annealing on the elastoplastic response of isotactic polypropylene. Eur. Polym. J. 39(1), 21-31 (2003)
6. Drozdov, A.D., Christiansen, J.D.: The effect of annealing on the time-dependent behavior of isotactic polypropylene at finite strains. Polymer 43(17), 4745-4761 (2002)
7. Drozdov, A.D., Christiansen, J.D.: The effect of strain rate on the viscoplastic behavior of isotactic polypropylene at finite strains. Polymer 44(4), 1211-1228 (2003)
8. Drozdov, A.D., Gupta, R.K.: Constitutive equations in finite viscoplasticity of semicrystalline polymers. Int. J. Solids Struct. 40(23), 6217-6243 (2003)
9. Ellyin, F., Xia, Z.H.: Nonlinear viscoelastic constitutive model for thermoset polymers. J. Eng. Mater. Technol. - Trans. ASME 128(4), 579-585 (2006)
10. Escaig, B.: A physical model of the pressure dependence and biaxial mechanical properties of solid polymers. Polym. Eng. Sci. 37(10), 1641-1654 (1997)
11. Knauss, W.G., Emri, I.J.: Non-linear viscoelasticity based on free-volume consideration. Comput. Struct. 13(1-3), 123-128 (1981)
12. Lai, D., Yakimets, I., Guigon, M.: A non-linear viscoelastic model developed for semi-crystalline polymer deformed at small strains with loading and unloading paths. Mat. Sci. Eng.: A 405(1-2), 266-271 (2005)
13. Mlekusch, B.: Calculation of residual stress development in injection moulding using a nonlinear viscoelastic model. Mech. Time-Depend. Mater. 5(2), 101-118 (2001)
14. Oshmyan, V., Patlazhan, S., Remond, Y.: Simulation of small-strain deformations of semi-crystalline polymer: Coupling of structural transformations with stress-strain response. J. Mater. Sci. 39(11), 3577-3586 (2004)
15. Popelar, C.F., Liechti, K.M.: A distortion-modified free volume theory for nonlinear viscoelastic behavior. Mech. Time-Depend. Mater. 7(2), 89-141 (2003)
16. Read, B.E., Tomlins, P.E.: Time-dependent deformation of polypropylene in response to different stress histories. Polymer 38(18), 4617-4628 (1997)
17. Rhee, K.Y., Chi, C.H., Park, S.J.: Experimental investigation on the compressive characteristics of multi-directional graphite/epoxy composites under hydrostatic pressure environment. Mater. Sci. Eng.: A 360(1-2), 1-6 (2003)
18. Schapery, R.A.: On characterization of nonlinear viscoelastic materials. Polym. Eng. Sci. 9(4), 295-& (1969)
19. Sweeney, J., Collins, T.L.D., Coates, P.D., Duckett, R.A.: High-temperature large strain viscoelastic behavior of polypropylene modeled using an inhomogeneously strained network. J. Appl. Polym. Sci. 72(4), 563-575 (1999)
20. Xia, Z.H., Hu, Y.F., Ellyin, F.: Deformation behavior of an epoxy resin subject to multiaxial loadings. Part II: Constitutive modeling and predictions. Polym. Eng. Sci. 43(3), 734-748 (2003)
21. Xia, Z.H., Shen, X.H., Ellyin, F.: An assessment of nonlinearly viscoelastic constitutive models for cyclic loading: The effect of a general loading/unloading rule. Mech. Time-Depend. Mater. 9(4), 281-300 (2005)
22. Yamamoto, M.: Phenomenological equations of 3 dimensional Maxwell model + non-linear viscoelasticity. J. Phys. Soc. Jpn. 19(5), 739-748 (1964)