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Effects of strain rate on PMMA failure behavior

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Abstract

Quasi-static and dynamic loading tests were conducted on three types of polymethyl methacrylate (PMMA) specimens using a universal material testing machine and a split Hopkinson pressure bar to examine the effects of strain rate on PMMA failure behavior. Three types of PMMA specimens, i.e., a cylinder specimen with no beveled ends, a hat specimen, and cylinder specimens with beveled ends of different angles were applied to obtain the PMMA compression, shear, and combined shear–compression strengths. Results showed that PMMA failure stresses increased with the strain rate. Furthermore, the dynamic failure loci in the shear-normal stress space could be well described by an elliptical macroscopic failure criterion and expansion became nearly isotropic as the strain rate increased. The compression tests applied to the three types of PMMA specimens were effective methods to investigate the yield surface of PMMA experimentally over a wide range of strain rates.

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References

  1. T. Jin, X.Y. Niu, G.S. Xiao, Z.H. Wang, Z.W. Zhou, G.Z. Yuan, X.F. Shu, Effects of experimental variables on PMMA nano-indentation measurements. Polym. Test. 41, 1–6 (2015)

    Article  Google Scholar 

  2. H.Y. Wu, G. Ma, Y.M. Xia, Experimental study of tensile properties of PMMA at intermediate strain rate. Mater. Lett. 58, 3681–3685 (2004)

    Article  Google Scholar 

  3. T. Jin, Z.W. Zhou, Z.G. Liu, G.S. Xiao, G.Z. Yuan, X.F. Shu, Sensitivity of PMMA nanoindentation measurements to strain rate. J. Appl. Polym. Sci. (2015). doi:10.1002/APP.41896

    Google Scholar 

  4. D. Methiesen, D. Vogtmann, R.B. Dupaix, Characterization and constitutive modeling of stress-relaxation behavior of poly(methyl methacrylate) (PMMA) across the glass transition temperature. Mech. Mater. 71, 74–84 (2014)

    Article  Google Scholar 

  5. J. Richeton, G. Schlatter, K.S. Vecchio, Y. Rémond, S. Ahzi, A unified model for stiffness modulus of amorphous polymers across transition temperatures and strain rates. Polymer 46, 8194–8201 (2005)

    Article  Google Scholar 

  6. M. Nasraoui, P. Forquin, L. Siad, A. Rusinek, Influence of strain rate, temperature and adiabatic heating on the mechanical behaviour of poly-methyl-methacrylate: experimental and modelling analyses. Mater. Des. 37, 500–509 (2012)

    Article  Google Scholar 

  7. T. Jin, Z.W. Zhou, Z.H. Wang, G.Y. Wu, Z.G. Liu, X.F. Shu, Quasi-static failure behaviour of PMMA under combined shear–compression loading. Polym. Test. 42, 181–184 (2015)

    Article  Google Scholar 

  8. D.G. Papazoglou, D. Abdollahpour, S. Tzortzakis, Ultrafast electron and material dynamics following femtosecond filamentation induced excitation of transparent solids. Appl. Phys. A 114, 161–168 (2014)

    Article  ADS  Google Scholar 

  9. T. Chantakit, K. Srinuanjan, P.P. Yupapin, Two dimension photonic crystal Y-branch beam splitter with variation of splitting ratio based on hybrid defect controlled. Appl. Phys. A 117, 547–552 (2014)

    Article  Google Scholar 

  10. D.W. Holmes, J.G. Loughran, H. Suehrcke, Constitutive model for large strain deformation of semicrystalline polymers. Mech. Time Depend. Mater. (2007). doi:10.1007/s11043-007-9023-8

    Google Scholar 

  11. E. Ghorbel, A viscoplastic constitutive model for polymeric materials. Int. J. Plast. 24, 2032–2058 (2008)

    Article  MATH  Google Scholar 

  12. J.C. Simo, T.J.R. Hughes, Computational inelasticity (Springer, New York, 2000)

    Google Scholar 

  13. A.F. Epee, F. Lauro, B. Bennani, B. Bourel, Constitutive model for a semi-crystalline polymer under dynamic loading. Int. J. Solids Struct. 48, 1590–1599 (2011)

    Article  MATH  Google Scholar 

  14. Z.W. Zhou, B.Y. Su, Z.H. Wang, Z.Q. Li, X.F. Shu, L.M. Zhao, Shear–compression failure behavior of PMMA at different loading rates. Mater. Lett. 109, 151–153 (2013)

    Article  Google Scholar 

  15. B. Hou, S. Pattofatto, Y.L. Li, H. Zhao, Impact behavior of honeycombs under combined shear–compression. Part II: analysis. Int. J. Solids Struct. 48, 698–705 (2011)

    Article  MATH  Google Scholar 

  16. J. Richeton, S. Ahzi, K.S. Vecchio, F.C. Jiang, R.R. Adharapurapu, Influence of temperature and strain rate on the mechanical behavior of three amorphous polymers: characterization and modeling of the compressive yield stress. Int. J. Solids Struct. 43, 2318–2335 (2006)

    Article  Google Scholar 

  17. S.K. Cheng, C.Y. Chen, Mechanical properties and strain-rate effect of EVA/PMMA in situ polymerization blends. Eur. Polym. J. 40, 1239–1248 (2004)

    Article  Google Scholar 

  18. A.D. Mulliken, M.C. Boyce, Mechanics of the rate-dependent elastic–plastic deformation of glassy polymers from low to high strain rates. Int. J. Solids Struct. 43, 1331–1356 (2006)

    Article  MATH  Google Scholar 

  19. P. Forquin, M. Nasraoui, A. Rusinek, L. Siad, Experimental study of the confined behaviour of PMMA under quasi-static and dynamic loadings. Int. J. Impact Eng. 40–41, 46–57 (2012)

    Article  Google Scholar 

  20. C. G’Sell, J.J. Jonas, Yield and transient effects during the plastic deformation of solid polymers. J. Mater. Sci. 16, 1956–1974 (1981)

    Article  ADS  Google Scholar 

  21. C. G’sell, J.J. Jonas, Determination of the plastic behaviour of solid polymers at constant true strain rate. J. Mater. Sci. 14, 583–591 (1979)

    Google Scholar 

  22. J. Rottler, M.O. Robbins, Shear yielding of amorphous glassy solids: effect of temperature and strain rate. Phys. Rev. E 68, 011507 (2003)

    Article  ADS  Google Scholar 

  23. J. Rottler, M.O. Robbins, Unified description of aging and rate effects in yield of glassy solids. Phys. Rev. Lett. 95, 225504 (2005)

    Article  ADS  Google Scholar 

  24. S.H. Robert, O.R. Mark, Strain hardening of polymer glasses: effect of entanglement density, temperature, and rate. J. Polym. Sci. Part B Polym. Phys. 44, 3487–3500 (2006)

    Google Scholar 

  25. B. Farrokh, A.S. Khan, A strain rate dependent yield criterion for isotropic polymers: low to high rates of loading. Eur. J. Mech. A Solids 29, 274–282 (2010)

    Article  ADS  Google Scholar 

  26. M.Q. Xu, L.L. Wang, A new method for studying the dynamic response and damage evolution of polymers at high strain rates. Mech. Mater. 38, 68–75 (2006)

    Article  Google Scholar 

  27. B. Song, W.Y. Lu, C.J. Syn, W.N. Chen, The effects of strain rate, density, and temperature on the mechanical properties of polymethylene diisocyanate (PMDI)-based rigid polyurethane foams during compression. J. Mater. Sci. 44, 351–357 (2009)

    Article  ADS  Google Scholar 

  28. B. Song, W.N. Chen, W.Y. Lu, Mechanical characterization at intermediate strain rates for rate effects on an epoxy syntactic foam. Int. J. Mech. Sci. 49, 1336–1343 (2007)

    Article  Google Scholar 

  29. B. Hou, A. Ono, S. Abdennadher, S. Pattofatto, Y.L. Li, H. Zhao, Impact behavior of honeycombs under combined shear–compression. Part I: experiments. Int. J. Solids Struct. 48, 687–697 (2011)

    Article  MATH  Google Scholar 

  30. Z.H. Stachurski, Strength and deformation of rigid polymers: the stress–strain curve in amorphous PMMA. Polymer 44, 6067–6076 (2003)

    Article  Google Scholar 

  31. E.M. Arruda, M.C. Boyce, R. Jayachandran, Effects of strain rate, temperature and thermomechanical coupling on the finite strain deformation of glassy polymers. Mech. Mater. 19, 193–215 (1995)

    Article  Google Scholar 

  32. Z.H. Li, J. Lambros, Strain rate effects on the thermomechanical behavior of polymers. Int. J. Solids Struct. 38, 3549–3562 (2001)

    Article  MATH  Google Scholar 

  33. X. Nie, W.N. Chen, X. Sun, D.W. Templeton, Dynamic failure of borosilicate glass under compression/shear loading experiments. J. Am. Ceram. Soc. 8, 2556–2562 (2007)

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11172195, and 11172196), the Natural Science Foundation of Shanxi Province (Grant No. 2014011009-1), the Foundation the Top Young Academic Leaders of Shanxi and Program for the Homecoming Foundation, and the Outstanding Innovative Teams of Higher Learning Institutions of Shanxi. The financial contributions are gratefully acknowledged.

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Authors and Affiliations

  1. Institute of Applied Mechanics and Biomedical Engineering, Taiyuan University of Technology, Taiyuan, 030024, China

    Tao Jin, Xuefeng Shu, Zhihua Wang & Zhenguo Liu

  2. Shanxi Key Laboratory of Material Strength and Structural Impact, Taiyuan, 030024, China

    Tao Jin, Xuefeng Shu, Zhihua Wang & Zhenguo Liu

  3. State Key Laboratory of Frozen Soil Engineering, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou, 730000, China

    Zhiwei Zhou

  4. Department of Mechanics, Taiyuan University of Technology, Taiyuan, 030024, China

    Guiying Wu

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  1. Tao Jin
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Correspondence to Xuefeng Shu.

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Jin, T., Zhou, Z., Shu, X. et al. Effects of strain rate on PMMA failure behavior. Appl. Phys. A 122, 7 (2016). https://doi.org/10.1007/s00339-015-9526-0

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