Abstract
With the development of new methods for the characterization of equilibrium stress through cyclic loading, it is now possible to follow the evolution of back stress during the nonlinear deformation of polymers. Experiments on PEEK and PC below the glass-transition temperature indicate a back stress that may evolve with plastic deformation, and which is substantially different from that seen during the response in the rubbery range. In particular, the back stress during the response of PC shows the characteristic post-yield softening, possibly indicating that the observed post-yield softening in the response comes from the back stress. This is not seen in PEEK, which also shows no substantial post-yield softening. The equilibrium stress plays a central role in modeling both the quasi-static and dynamic response of PEEK.
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Argon, A.S., Bessonov, M.I.: Plastic flow in glassy polymers. Polym. Eng. Sci. 17, 174–182 (1977)
Boyce, M.C., Parks, D.M., Argon, A.S.: large inelastic deformation of glassy polymers. Part I: rate dependent constitutive model. Mech. Mater. 7, 15–33 (1988)
Arruda, E.M., Boyce, M.C.: Evolution of plastic anisotropy in amorphous polymers during finite stretch. Int. J. Plasticity 9, 697–721 (1993)
Boyce, M.C., Arruda, E.M.: An experimental and analytical investigation of the large strain compressive and tensile response of glassy polymers. Polym. Eng. Sci. 30, 1288–1298 (1990)
Shim, J., Dirk, M.: Rate dependent finite strain constitutive model of polyurea. Int. J. Plasticity 27, 868–886 (2011)
Krempl, E., Mcmahon, J.J.: Viscoplasticity based on overstress with a differential growth law for the equilibrium stress. Mech. Mater. 5, 35–48 (1986)
Krempl, E., Bordonaro, C.: A state variable model for high strength polymer. Polym. Eng. Sci. 35, 310–316 (1995)
Krempl, E., Khan, F.: Rate (time)-dependent deformation behavior: an overview of some properties of metals and solid polymers. Int. J. Plasticity 19, 1069–1095 (2003)
Krempl, E., Gleason, J.M.: Isotropic viscoplasticity theory based on overstress (VBO). The influence of the direction of the dynamic recovery term in the growth law of the equilibrium stress. Int. J. Plasticity 12, 719–735 (1996)
Krempl, E.: Relaxation behavior and modeling. Int. J. Plasticity 17, 1419–1436 (2001)
Colak, O.U.: Modeling deformation behavior of polymers with viscoplasticity theory based on overstress. Int. J. Plasticity 21, 145–160 (2005)
Negahban, M.: The Mechanical and Thermodynamical Theory of Plasticity. CRC Press, New York (2012)
Li, W., Brown, E.N., Rae, P.J., Gazonas, G., Negahban, M.: Mechanical characterization and preliminary modeling of PEEK. Mech. Compos. Multi-funct. Mater. 7, 209–218 (2015)
Bordonaro, C., Krempl, E.: The effect of strain rate on the deformation and relaxation behavior of 6/6 nylon at room temperature. Polym. Eng. Sci. 32, 1066–1072 (1992)
Negahban, M., Goel, A., Delabarre, P., Feng, R., Dimick, A.: Experimentally evaluating the equilibrium stress in shear of glassy polycarbonate. ASME J. Eng. Mater. Technol. 128, 537–542 (2006)
Goel, A., Strabala, K., Negahban, M., Feng, R.: Experimentally evaluating equilibrium stress in uniaxial tests. Exp. Mech. 50, 709–716 (2010)
Dreistadt, C., Bonnet, A.-E., Chevrier, P., Lipinski, P.: Experimental study of polycarbonate behavior during complex loadings and comparison with the Boyce, Parks and Argon model predictions. Mater. Des. 30, 3126–3140 (2009)
Acknowledgement
The research was partially supported by the US Army Research Laboratory through Contract Number W911NF-11-D-0001-0094. The experiments were completed by utilizing the stress analysis facility at the University of Nebraska-Lincoln.
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Li, W., Gazonas, G., Brown, E.N., Rae, P.J., Negahban, M. (2017). Back Stress in Modeling the Response of PEEK and PC. In: Antoun, B., et al. Challenges in Mechanics of Time Dependent Materials, Volume 2. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-41543-7_23
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DOI: https://doi.org/10.1007/978-3-319-41543-7_23
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