Abstract
Three amorphous polymers, polymethyl methacrylate, polystyrene and polycarbonate were tested in uniaxial tension, uniaxial compression, plane strain compression and simple shear, over a range of temperatures. In each test, the yield point was precisely determined via residual strain measurements after unloading. With the yield stresses determined for these four different stress states, two pressure dependent shear yield criteria, i.e, the modified Von Mises and the modified Tresca criteria, were checked and compared. It is shown that (i) in each case (material, temperature, initial ageing state), the yield locus is satisfactorily described by either one or the other of the two criteria, and (ii) each criterion can be associated with a specific deformation mode (either homogeneous or localized in shear bands). As for the temperature dependence of the yield stress sensitivity to the hydrostatic pressure, it appears to be related to the glass transition temperature (Tg) and more precisely to the α and β relaxations. Finally, the pressure dependence of the yield stress can be possibly explained as being due to two effects: (i) the influence of pressure on molecular motions leading to yielding and (ii) the influence of pressure on the microstructural state.
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References
R. Hill, “The mathematical theory of plasticity” (OUP, Oxford, 1967).
S. Rabinowitz, I. M. Ward and J. S. C. Parry, J. Mater. Sci. 5 (1970) 29.
I. M. Ward, ibid. 6 (1971) 1397.
J. A. Sauer, Polym. Engng Sci. 17 (1977) 150.
S. Rabinowitz and P. Breadmore, J. Mater. Sci. 9 (1974) 81.
C. B. Bucknall, “Toughened plastics” (Applied Science, London, 1977).
W. Withney and R. D. Andrews, J. Polym. Sci. Part C 16 (1967) 2981.
J. C. Bauwens, J. Polym. Sci. Part A-2 8 (1970) 893.
P. B. Bowden and J. A. Jukes, J. Mater. Sci. 7 (1972) 52.
R. A. Bubeck, S. E. Bales and H. E. Lee, Polym. Engng Sci. 24 (1984) 1142.
S. S. Sterstein and L. Ongchin, ACS Polym. Prepr. 10 (1969) 117.
C. Bauwens-Crowet, J. C. Bauwens and G. Homes, J. Mater Sci. 7 (1972) 176.
R. Bianchi and A. Testi, PhD thesis, Politecnico di Milano (1991).
M. Rink, R. Frassine and A. Pavan, in Proceedings of “Polymer Blends –II”, Polymat’94, London, September 1994, p. 513.
R. Quinson, J. Perez, M. Rink and A. Pavan, J. Mater. Sci. 31 (1996) 4387.
C. G’Sell, in “Plastic deformation of amorphous and semi crystalline polymers” edited by B. Escaig and C. G’Sell, (les Ulis, 1982).
J. G. Williams and H. Ford, J. Mech. Engng Sci. 6 (1964) 405.
A. P. Green, Phil. Mag. 42 (1951) 900.
P. B. Bowden in “Physics of glassy polymers”, edited by R. H. Haward (Applied Science, London 1973) Ch. 5.
S. S. Sternstein, L. Ongchin and A. Silverman, Appl. Polym. Symp. 7 (1968) 175.
C. G’Sell, S. Boni and S. Shrivastava, J. Mater. Sci. 18 (1983) 903.
C. Bauwens-Crowet, ibid. 8 (1973) 968.
S. Matsuoka, in “Failure of Plastics”, edited by W. Brostow and R. Corneliussen ch. 3 (Hanser, Munich, 1986).
G. I. Taylor and F. R. S. Yarrow, Proc. Roy. Soc. Section A 145 (1934) 1.
P. B. Bowden and S. Raha, Phil. Mag. 22 (1970) 463.
M. Ishikawa and I. Narisawa, J. Mater. Sci. 18 (1983) 2826.
A. W. Christiansen, E. Baer and S. V. Radcliffe, Phil. Mag. 24 (1971) 451.
J. C. M. Li ad J. B. C. Wu, J. Mater. Sci. 11 (1976) 445.
A. Souahi, PhD thesis, INP Lorraine (1992).
J. M. O’Reilly, J. Polym. Sci. 57 (1962) 429.
G. Williams, Trans. Farad. Soc. 62 (1966) 2091.
H. Sasabe and S. Saito, J. Polym. Sci. Part A2 6 (1968) 1401.
F. Shnaffer and B. J. Jungnickel, J. Macr. Sci. Phys. B 52 (1993) 343.
R. Quinson, J. Perez, J. M. Murraciole and Y. Germain, Polymer 36 (1995) 743.
O. A. Hasan, M. C. Boyce and S. Berko, J. Polym. Sci. Part B 31 (1993) 185.
A. S. Argon, Phil. Mag. 28 (1973) 839.
H. Eyring, J. Chem. Phys. 4 (1936) 283.
M. B. Mangion, J. Y. Cavaille and J. Perez, Phil. Mag. A 66 (1992) 773.
N. Ouali, M. B. M. Mangion and J. Perez, ibid. 67 (1993) 827.
A. Y. Goldman, V. L. Maksimov and V. N. Kestelman, Polym. Engng. Sci. 31 (1991) 1493.
J. Perez, J. Y. Cavaille, J. Tatibouet, J. Chim. Phys. 87 (1990) 1923.
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QUINSON, R., PEREZ, J., RINK, M. et al. Yield criteria for amorphous glassy polymers. Journal of Materials Science 32, 1371–1379 (1997). https://doi.org/10.1023/A:1018525127466
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DOI: https://doi.org/10.1023/A:1018525127466