Constitutive modeling of the finite strain behavior of amorphous polymers in and above the glass transition

Mechanics of Materials

Volumn 39, Issue 1, 2007, Pages 39-52

  Dupaix, Rebecca B ^a   Boyce, Mary C ^b  

^a Ohio State University   (United States)

^b Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Amorphous polymers; Constitutive model; Glass transition; PETG

Indexed keywords

CRYSTALLIZATION; ELASTIC MODULI; GLASS TRANSITION; MATHEMATICAL MODELS; ORGANIC POLYMERS; POLYETHYLENE TEREPHTHALATES;

AMORPHOUS POLYMERS; CONSTITUTIVE MODEL; POLYMER (POLY(ETHYLENE TEREPHTHALATE)-GLYCOL (PETG));

AMORPHOUS MATERIALS;

EID: 33748532888     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2006.02.006     Document Type: Article

References (39)

1. Adams A.M., Buckley C.P., and Jones D.P. Biaxial hot drawing of poly(ethylene terephthalate): measurements and modelling of strain-stiffening. Polymer 41 2 (2000) 771-786
2. Ahzi S., Makradi A., Gregory R.V., and Edie D.D. Modeling of deformation behavior and strain-induced crystallization in poly(ethylene terephthalate) above the glass transition temperature. Mechanics of Materials 35 (2003) 1139-1148
3. Anand L. On H. Hencky's approximate strain energy function for moderate deformations. Journal of Applied Mechanics 46 (1979) 78-82
4. Argon A.S. A theory for the low-temperature plastic deformation of glassy polymers. Philosophical Magazine 28 (1973) 839-865
5. Arruda E.M., and Boyce M.C. Evolution of plastic anisotropy in amorphous polymers during finite straining. International Journal of Plasticity 9 6 (1993) 697-720
6. Arruda E.M., and Boyce M.C. A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Journal of the Mechanics and Physics of Solids 41 2 (1993) 389-412
7. Arruda E.M., Boyce M.C., and Jayachandran R. Effects of strain rate, temperature and thermomechanical coupling on the finite strain deformation of glassy polymers. Mechanics of Materials 19 (1995) 193-212
8. Axtell F.H., and Haworth B. Elongational deformation and stretch blow moulding of poly(ethylene terephthalate). Plastics, Rubber, and Composites Processing and Applications 22 3 (1994) 127-136
9. Ball R.C., Doi M., Edwards S.F., and Warner M. Elasticity of entangled networks. Polymer 22 (1981) 1010-1018
10. Becker H., and Gärtner C. Polymer microfabrication methods for microfluidic analytical applications. Electrophoresis 21 (2000) 12-26
11. Bergström J.S., and Boyce M.C. Constitutive modeling of the large strain time-dependent behavior of elastomers. Journal of the Mechanics and Physics of Solids 46 5 (1998) 931-954
12. Bischoff J.E., Arruda E.M., and Grosh K. Finite element modeling of human skin using an isotropic, nonlinear elastic constitutive model. Journal of Biomechanics 33 (2000) 645-652
13. Boyce M.C., and Arruda E.M. Constitutive models of rubber elasticity: a review. Rubber Chemistry and Technology 73 3 (2000) 504-523
14. Boyce M.C., Parks D.M., and Argon A.S. Large inelastic deformation of glassy polymers. Part I: rate dependent constitutive model. Mechanics of Materials 7 (1988) 15-33
15. Boyce M.C., Socrate S., and Llana P.G. Constitutive model for the finite deformation stress-strain behavior of poly(ethylene terephthalate) above the glass transition. Polymer 41 6 (2000) 2183-2201
16. Boyce M.C., Weber G.G., and Parks D.M. On the kinematics of finite strain plasticity. Journal of the Mechanics and Physics of Solids 37 5 (1989) 647-665
17. Buckley C.P., and Jones D.C. Glass-rubber constitutive model for amorphous polymers near the glass transition. Polymer 36 17 (1995) 3301-3312
18. Buckley C.P., Jones D.C., and Jones D.P. Hot-drawing of poly(ethylene terephthalate) under biaxial stress: application of a three-dimensional glass-rubber constitutive model. Polymer 37 12 (1996) 2403-2414
19. Cakmak M., Spruiell J.E., and White J.L. A basic study of orientation in poly(ethylene terephthalate) stretch-blow molded bottles. Polymer Engineering and Science 24 18 (1984) 1390-1395
20. de Gennes P.G. Scaling Concepts in Polymer Physics (1979), Cornell University Press
21. Doi M., and Edwards M.F. The Theory of Polymer Dynamics (1986), Oxford University Press
22. Dooling P.J., Buckley C.P., and Hinduja S. The onset of nonlinear viscoelasticity in multiaxial creep of glassy polymers: a constitutive model and its application to PMMA. Polymer Engineering and Science 38 6 (1998) 892-904
23. Dupaix, R.B., 2003. Temperature and rate dependent finite strain behavior of poly(ethylene terephthalate) and poly(ethylene terephthalate)-glycol above the glass transition temperature. Ph.D. Thesis, MIT.
24. Dupaix R.B., and Boyce M.C. Finite strain behavior of poly(ethylene terephthalate) (PET) and poly(ethylene terephthalate)-glycol (PETG). Polymer 46 13 (2005) 4827-4838
25. Edwards S.F., and Vilgis T. The effect of entanglements in rubber elasticity. Polymer 27 4 (1986) 483-492
26. Flory P.J. Molecular theory of rubber elasticity. Polymer Journal 17 1 (1985) 1-12
27. Flory P.J., and Rehner J. Statistical mechanics of cross-linked polymer networks. The Journal of Chemical Physics 11 11 (1943) 512-520
28. Gerlach C., Buckley C.P., and Jones D.P. Development of an integrated approach to modelling of polymer film orientation processes. Chemical Engineering Research and Design Part A 76 (1998) 38-44
29. Halsey G., White H.J., and Eyring H. Mechanical properties of textiles, I. Textile Research Journal 15 9 (1945) 295-311
30. Hasan O.A., and Boyce M.C. Energy storage during inelastic deformation of glassy polymers. Polymer 34 24 (1993) 5085-5092
31. Kattan M., Dargent E., Ledru J., and Grenet J. Strain-induced crystallization in uniaxially drawn PETG plates. Journal of Applied Polymer Science 81 (2001) 3405-3412
32. Kattan M., Dargent E., and Grenet J. Three phase model in drawn thermoplastic polyesters: comparison of differential scanning calorimetry and thermally stimulated depolarisation current experiments. Polymer 43 4 (2002) 1399-1405
33. Lee E.H. Elastic-plastic deformation at finite strains. Journal of Applied Mechanics 36 (1969) 1-6
34. Matthews R.G., Duckett R.A., Ward I.M., and Jones D.P. The biaxial drawing behaviour of poly(ethylene terephthalate). Polymer 38 19 (1997) 4795-4802
35. Sweeney J., and Ward I.M. Rate dependent and network phenomena in the multiaxial drawing of poly(vinyl chloride). Polymer 36 2 (1995) 299-308
36. Treloar L.R.G. The Physics of Rubber Elasticity. third ed. (1975), Clarendon Press, Oxford
37. Treloar L.R.G. The mechanics of rubber elasticity. Proceedings of the Royal Society of London A 351 1666 (1976) 301-322
38. Vigny M., Aubert A., Hiver J.M., Aboulfaraj M., and G'Sell C. Constitutive viscoplastic behaviour of amorphous PET during plane-strain tensile stretching. Polymer Engineering and Science 39 12 (1999) 2366-2376
39. Wang M.C., and Guth E. Statistical theory of networks of non-Gaussian flexible chains. The Journal of Chemical Physics 20 7 (1952) 1144-1157