Evolution of strain localization in glassy polymers: A numerical study

International Journal of Solids and Structures

Volumn 46, Issue 7-8, 2009, Pages 1607-1623

  Li, H X ^a   Buckley, C P ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Explicit integration; Finite element method; Glassy polymers; Necking

Indexed keywords

CONTINUUM MECHANICS; DIMENSIONAL STABILITY; ENDOCRINOLOGY; MATERIALS; PLASTIC FLOW; POLYMERIC GLASS; POLYMERS; POLYSTYRENES; STRAIN RATE;

ATACTIC POLYSTYRENES; CONTINUUM MODELS; EXPLICIT INTEGRATION; FICTIVE TEMPERATURES; GLASSY POLYMERS; MATERIAL MODELS; MATERIAL PARAMETERS; MOLECULAR ALIGNMENTS; NECKING; NOMINAL STRESS; NUMERICAL IMPLEMENTATIONS; NUMERICAL STUDIES; ONE-DIMENSIONAL; PHYSICALLY BASED; PLASTIC FLOW STRESS; PRISMATIC BARS; RATE DEPENDENCES; SPONTANEOUS STRAINS; STABILITY ANALYSIS; STRAIN DISTRIBUTIONS; STRAIN LOCALIZATIONS; STRAIN-HARDENING; STRAIN-SOFTENING; TWO STAGES; YIELD STRAINS;

FINITE ELEMENT METHOD;

EID: 60349088089     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2008.12.002     Document Type: Article

References (44)

1. Arruda E.M., and Boyce M.C. A three-dimensional constitutive model for the large stretch behaviour of rubber elastic materials. Journal of the Mechanics and Physics of Solids 41 (1993) 389-412
2. Arruda E.M., and Boyce M.C. Evolution of plastic anisotropy in amorphous polymers during finite straining. International Journal of Plasticity 9 (1993) 697-720
3. Arruda E.M., Boyce M.C., and Harald Q.B. Effects of initial anisotropy on the finite strain deformation behaviour of glass polymers. International Journal of Plasticity 9 (1993) 783-811
4. Boyce M.C., and Arruda E.M. An experimental and analytical investigation of the large strain compressive and tensile response of glassy polymers. Polymer Engineering and Science 30 (1990) 1288-1298
5. 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
6. Boyce M.C., Parks D.M., and Argon A.S. Large inelastic deformation of glassy polymers - part II: numerical simulation of hydrostatic extrusion. Mechanics of Materials 7 (1988) 35-47
7. Boyce M.C., Montagut E.L., and Argon A.S. The effects of thermo-mechanical coupling on the cold drawing process of glassy polymers. Polymer Engineering and Science 32 16 (1992) 1073-1085
8. Buckley C.P., and Jones D.C. Glass-rubber constitutive model for amorphous polymers near the glass transition. Polymer 36 (1995) 3301-3312
9. 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 (1996) 2403-2414
10. Buckley C.P., Dooling P.J., Harding J., and Ruiz C. Deformation of thermosetting resins at impact rates of strain - part 2: constitutive model with rejuvenation. Journal of the Mechanics and Physics of Solids 52 (2004) 2355-2377
11. Considère A.G. Memoire sur l'emploi du fer et de l'acier dans les constructions. Annales des ponts dt Chausses 9 (1885) 574-775
12. De Focatiis, D.S.A., Buckley, C.P., 2007. The effects of molecular orientation on the constitutive response of polystyrene. In: Proceedings of the Europe/Africa 2007 Regional Meeting of the Polymer Processing Society, 28-30 August 2007, Gothenberg, Sweden.
13. 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 & Science 38 (1998) 892-904
14. Dooling P.J., Buckley C.P., Rostami S., and Zahlan N. Hot-drawing of poly(methyl methacrylate) and simulation using a glass-rubber constitutive model. Polymer 43 (2002) 2451-2465
15. Edwards S.F., and Vilgis T.A. The effect of entanglements in rubber elasticity. Polymer 27 (1986) 483-492
16. Govaert L.E., Timmermans P.H.M., and Brekelmans W.A.M. The influence of intrinsic strain softening on strain localisation in polycarbonate: modelling and experimental validation. Journal of Engineering Materials and Technology 122 (2000) 177-185
17. Hart E.W. Theory of the tensile test. Acta Metallurgica 15 (1967) 351-355
18. Hasan O.A., and Boyce M.C. A constitutive model for the nonlinear viscoelastic-viscoplastic behaviour of glassy polymers. Polymer Engineering and Science 35 (1995) 331-344
19. Haward R.N., and Thackray G. The use of a mathematical model to describe isothermal stress-strain curves in glassy thermoplastics. Proceedings of Royal Society A 302 (1968) 453-472
20. Hutchinson J.W., and Neale K.W. Influence of strain-rate sensitivity on necking under uniaxial tension. Acta Metallurgica 25 (1977) 839-846
21. Hutchinson J.W., and Neale K.W. Neck propagation. Journal of the Mechanics and Physics of Solids 31 5 (1983) 405-426
22. Klompen E.T.J., Engels T.A.P., Goavert L.E., and Meijer H.E.H. Modelling of the post-yield response of glassy polymers: influence of thermo-mechanical history. Macromolecules 38 (2005) 6997-7008
23. Lindgreen B., Tvergaard V., and Needleman A. Dynamic neck development in a polymer tube under internal pressure loading. International Journal of Solids and Structures 45 (2008) 580-592
24. Marquez-Lucero A., G'Sell C., and Neale K.W. Experimental investigation of neck propagation in polymers. Polymer 30 (1989) 636-642
25. Neale K.W., and Tugcu P. Analysis of necking and neck propagation in polymeric materials. Journal of the Mechanics and Physics of Solids 33 (1985) 323-337
26. Sweeney J., Collins T.L.D., et al. Application of a large deformation model to unstable tensile stretching of polyethylene. International Journal of Plasticity 18 (2002) 399-414
27. Sweeney J., Collins T.L.D., and Coates P.D. Application of an elastic model to the large deformation, high temperature stretching of polypropylene. Polymer 38 (1997) 5991-5999
28. Sweeney J., Shirataki H., Unwin A.P., and Ward I.M. Application of a necking criterion to PET fibers in tension. Journal of Applied Polymer Science 74 (1999) 3331-3341
29. Tervoort T.A., Klompen E.T.J., and Govaert L.E. A multi-mode approach to finite three-dimensional nonlinear viscoelastic behaviour of polymer glasses. Journal of Rheology 40 (1996) 779-797
30. Tomita Y. Simulations of plastic instabilities in solid mechanics. Applied Mechanics Reviews 47 (1994) 171-205
31. Tomita Y. Constitutive modelling of deformation behavior of glassy polymers and applications. International Journal of Solids and Structures 42 (2000) 1455-1469
32. Tomita Y., and Adachi T. Nonaffine network model for glassy polymer and prediction of instability. In: De Borst R., and van der Giessen E. (Eds). Proceedings of the IUTAM Symposium on Material Instability (1998), Wiley, Chichester 303-321
33. Tomita Y., and Hayashi K. Thermo-elasto-viscoplastic deformation of polymeric bars under tension. International Journal of Solids and Structures 30 (1993) 225-235
34. Tomita Y., and Tanaka S. Prediction of deformation behavior of glassy polymers based on molecular chain network model. International Journal of Solids and Structures 32 (1995) 3423-3434
35. Tomita Y., Adachi T., and Sik P.S. Computational simulation of three-dimensional neck propagation in polymeric specimens under tension and hybrid identification of constitutive equation. International Journal of Mechanical Sciences 39 (1997) 913-923
36. Tugcu P., and Neale K.W. Analysis of plane-strain neck propagation in viscoplastic polymeric films. International Journal of Mechanical Sciences 29 (1987) 793-805
37. Tugcu P., and Neale K.W. Necking and neck propagation in polymeric materials under plane-strain tension. International Journal of Solids Structures 23 (1987) 1063-1085
38. Tugcu P., and Neale K.W. Analysis of neck propagation in polymeric fibres including the effects of viscoplasticity. Journal of Engineering Materials and Technology 110 (1988) 395-400
39. Tugcu P., and Neale K.W. Cold drawing of polymers with rate and temperature dependent properties. International Journal of Mechanical Sciences 32 (1990) 405-416
40. Van Melick H.G.H., Govaert L.E., and Meijer H.E.H. Localisation phenomena in glassy polymers: influence of thermal and mechanical history. Polymer 44 (2003) 3579-3591
41. Vincent P.I. The necking and cold-drawing of rigid plastics. Polymer 1 (1960) 7-19
42. Ward I.M. Mechanical properties of solid polymers (1982), Wiley, New York
43. Wu J.J., and Buckley C.P. Plastic deformation of glassy polystyrene: a unified model of yield and the role of chain length. Journal of Polymer Science Part B 42 (2004) 2027-2040
44. Wu P.D., and Van der Giessen E. On neck propagation in amorphous glassy polymers under plane strain tension. International Journal of Plasticity 11 (1995) 211-235