Strain-hardening behavior of polycarbonate in the glassy state

Journal of Rheology

Volumn 44, Issue 6, 2000, Pages 1263-1277

  Tervoort, T A ^a   Govaert, L E ^b  

^a ETH ZURICH   (Switzerland)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSION TESTING; ELASTIC MODULI; GLASS; MATHEMATICAL MODELS; PLASTIC DEFORMATION; SHEAR STRESS; STRAIN HARDENING; TENSILE TESTING;

COVALENT BONDED CHAIN; INTERMOLECULAR FORCES;

POLYCARBONATES;

EID: 0034317792     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.1319175     Document Type: Article

References (36)

1. Allison, S. W. and I. M. Ward, "The cold drawing of polyethylene terephtalate," Br. J. Appl. Phys. 18, 1151-1164 (1967).
2. Arruda, E. M., "Characterization of the strain hardening response of amorphous polymers," Ph.D. thesis, Massachusetts Institute of Technology, 1992.
3. Arruda, E. M. and M. C. Boyce, "Evolution of plastic anisotropy in amorphous polymers during finite straining," Int. J. Plast. 9, 697-720 (1993a).
4. Arruda, E. M. and M. C. Boyce, "A three-dimensional constitutive equation for large stretch behaviour of rubber materials," J. Mech. Phys. Solids 41, 389-426 (1993b).
5. Bauwens, J. C., "A new approach to describe the tensile stress-strain curve of a glassy polymer," J. Mater. Sci. 13, 1443-1448 (1978).
6. Bowden, P., "A criterion for inhomogeneous deformation," Philos. Mag. 22, 455-463 (1970).
7. Boyce, M. C. and E. M. Arruda, "An experimental and analytical investigation of the large strain compressive and tensile response of glassy polymers," Polym. Eng. Sci. 30, 1289-1298 (1990).
8. Boyce, M. C. and R. N. Haward, "The post-yield deformation of glassy polymers," in The Physics of Glassy Polymers, 2nd ed., edited by R. N. Haward and R. J. Young (Chapman and Hall, London, 1997).
9. Boyce, M. C., D. M. Parks, and A. S. Argon, "Large inelastic deformation of glassy polymers. Part 1: Rate dependent constitutive model," Mech. Mater. 7, 15-33 (1988).
10. Cohen, A., "A Padé approximant to the inverse Langevin function," Rheol. Acta 30, 270-273 (1991).
11. Cross, A. and R. N. Haward, "Orientation hardening of PVC," Polymer 19, 677-682 (1978).
12. Donald, A. M. and E. J. Kramer, "Deformation zones and entanglements in glassy polymers," Polymer 23, 1183-1188 (1982a).
13. Donald, A. M. and E. J. Kramer, "The entanglement network and craze micromechanics in glassy polymers," J. Polym. Sci., Polym. Phys. Ed. 20, 1129-1141 (1982b).
14. Flory, P. J., Statistical Mechanics of Chain Molecules, 2nd ed. (Hanser, Munich, 1988).
15. Flory, P. J. and J. Rehner, Jr., "Statistical mechanics of cross-linked polymer networks," J. Chem. Phys. 11, 512-526 (1943).
16. G'Sell, C., "Plastic deformation of glassy polymers: constitutive equations and macromolecular mechanisms," in Strength of Metals and Alloys, edited by H. Q. et al. (Pergamon, Oxford, 1986), pp. 1943-1982.
17. G'Sell, C., J. M. Hiver, A. Dahouin, and A. Souahi, "Video-controlled tensile testing of polymers and metals beyond the necking point," J. Mater. Sci. 27, 5031-5039 (1992).
18. Haward, R. N., "Strain hardening of thermoplastics," Macromolecules 26, 5860-5869 (1993).
19. Haward, R. N., "The application of a Gauss-Eyring model to predict the behavior of thermoplastics in tensile experiments," J. Polym. Sci., Part B: Polym. Phys. 33, 1481-1494 (1995).
20. Haward, R. N. and G. Thackray, "The use of a mathematical model to describe isothermal stress-strain curves in glassy polymers," Proc. R. Soc. London, Ser. A 302, 453-472 (1968).
21. James, H. M. and E. Guth, "Theory of the elastic properties of rubber," J. Chem. Phys. 11, 455-481 (1943).
22. Jongschaap, R. J. J., K. H. de Haas, and C. A. J. Damen, "A generic matrix representation of configuration tensor rheological models," J. Rheol. 38, 769-796 (1994).
23. Kramer, E., "Microscopic and molecular fundamentals of crazing," Adv. Polym. Sci. 52/53, 1-56 (1983).
24. Kuhn, W. and F. Grün, "Beziehungen zwischen elastischen konstanten und dehnungsdoppelbrechung hochelastischer Stoffe," Kolloid-Z. 101, 248-271 (1942).
25. Larson, R. G., Constitutive Equations for Polymer Melts and Solutions (Butterworth, Stoneham, 1988).
26. Macosko, C. W., Rheology: Principles, Measurements, and Applications (VCH, New York, 1994).
27. Roark, R. J. and W. C. Young, Formulas for Stress and Strain, 5th ed. (McGraw-Hill, Singapore, 1984).
28. Smit, R. J. M., W. A. M. Brekelmans, and H. E. H. Meijer, "Prediction of the large strain mechanical response of heterogeneous polymer systems: local and global deformation behaviour of a representative volume element of voided polycarbonate," J. Mech. Phys. Solids 47, 201-221 (1998).
29. Struik, L. E., Physical Aging in Amorphous Polymers and other Materials (Elsevier, Amsterdam, 1978).
30. Tervoort, T. A., "Constitutive modelling of glassy polymers," Ph.D. thesis, Eindhoven University of Technology, Eindhoven, the Netherlands, 1996.
31. Tervoort, T. A., R. J. M. Smit, W. A. M. Brekelmans, and L. E. Govaert, "A constitutive equation for the elasto-viscoplastic deformation of glassy polymers," Mech. Time-Dependent Mater, l, 269-291 (1998).
32. Treloar, L. R. G., The Physics of Rubber Elasticity, 3rd ed. (Clarendon, Oxford, 1975).
33. Waldron, Jr., W. K., G. B. McKenna, and M. M. Santore, "The nonlinear viscoelastic response and apparent rejuvenation of an epoxy glass," J. Rheol. 39, 471-497 (1995).
34. Wu, P. D. and E. van der Giessen, "On improved 3-d non-Gaussian network models for rubber elasticity," Mech. Res. Commun. 19, 427-433 (1992).
35. Wu, P. D. and E. van der Giessen, "On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers," J. Mech. Phys. Solids 41, 427-456 (1993).
36. Wu, P. D. and E. van der Giessen, "Analysis of shear band propagation in amorphous glassy polymers," Int. J. Solids Struct. 31, 1493-1517 (1994).