Abstract
This article presents the response of polymethyl methacrylate (PMMA) subjected to large strains, high strain rates, high pressures, a range in temperatures, and variations in the intermediate principal stress. Laboratory data from the literature, and new test data provided here, are used in the evaluation. The new data include uniaxial stress compression tests (at various strain rates and temperatures) and uniaxial stress tension tests (at low strain rates and ambient temperatures). The compression tests include experiments at ̇ε = 13,000 s−1, significantly extending the range of known strain rate data. The observed behavior of PMMA includes the following: it is brittle in compression at high rates, and brittle in tension at all rates; strength is dependent on the pressure, strain, strain rate, temperature, and the intermediate principal stress; the shear modulus increases as the pressure increases; and it is highly compressible. Also presented are novel, high velocity impact tests (using high-speed imaging) that provide insight into the initiation and evolution of damage. Lastly, computational constitutive models for pressure, strength, and failure are presented that provide responses that are in good agreement with the laboratory data. The models are used to compute several ballistic impact events for which experimental data are available.
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References
S.P. Marsh, LASL Shock Hugoniot Data (University of California Press, CA, 1980), p. 446
Y.M. Gupta, J. Appl. Phys. 51, 5352 (1980)
M. Nasraoui, P. Forquin, L. Siad, A. Rusinek, Mater. Des. 37, 500 (2012)
R. Quinson, J. Perez, M. Rink, A. Pavan, J. Mater. Sci. 32, 1371 (1997)
N.A. Fleck, W.J. Stronge, J.H. Liu, Proc. R. Soc. Lond. A 429, 459 (1990)
W.R. Blumenthal, C.M. Cady, M.F. Lopez, G.T. Gray III, D.J. Idar, Shock Compression of Condensed Matter-2001 (American Institute of Physics, 2002), p. 665
Z. Li, J. Lambros, Int. J. Solids Struct. 38, 3549 (2001)
A.D. Mulliken, M.C. Boyce, Int. J. Solids Struct. 43, 1331 (2006)
J. Richeton, S. Ahzi, K.S. Vecchio, F.C. Jiang, R.R. Adharapurapu, Int. J. Solids Struct. 43, (2006)
P. Moy, W. Chen, T. Weearsooriya, A. Hsieh, Proceedings of the 2003 ASME Int. Mech. Eng. Congress (Washington, DC, Nov. 2003)
D. Rittel, A. Brill, J. Mech. Phys. Solids 56, 1401 (2008)
J.S. Harris, I.M. Ward, J.S.C. Parry, J. Mater. Sci. 6, 110 (1971)
H. Wu, G. Ma, Y. Xia, Mater. Lett. 58, 3681 (2004)
L.M. Barker, R.E. Hollenbach, J. Appl. Phys. 41, 4208 (1970)
F.J. Zerilli, R.W. Armstrong, J. Mater. Sci. 42, 4562 (2007)
D. Porter, P.J. Gould, Int. J. Solids Struct. 46, 1981 (2009)
T.J. Holmquist, G.R. Johnson, J. Phys. IV (France) 1, 853 (1991)
G.R. Johnson, W.H. Cook, Proceedings of the 7th International Symposium on Ballistics (The Hague, Netherlands, 1983)
G.R. Johnson, R.A. Stryk, T.J. Holmquist, S.R. Beissel, Report No. WL-TR-1997-7039, Wright Laboratory (1997)
G.R. Johnson, S. Chocron, C.E. Anderson, S.R. Beissel, T.J. Holmquist, Proceedings of the 27th International Symposium on Ballistics (Freiburg, Germany, 2013)
G.R. Johnson, W.H. Cook, Eng. Frac. Mech. 21, 31 (1985)
A.J. Hsieh, D. DeSchepper, P. Moy, P.G. Dehmer, J.W. Song, Report No. ARL-TR-3155, Army Research Laboratory (2004)
P.G. Dehmer, M.A. Klusewitz, Report No. ARL-RP-45, Army Research Laboratory (2002)
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Holmquist, T., Bradley, J., Dwivedi, A. et al. The response of polymethyl methacrylate (PMMA) subjected to large strains, high strain rates, high pressures, a range in temperatures, and variations in the intermediate principal stress. Eur. Phys. J. Spec. Top. 225, 343–354 (2016). https://doi.org/10.1140/epjst/e2016-02636-5
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DOI: https://doi.org/10.1140/epjst/e2016-02636-5