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Failure mode transitions in polymers under high strain rate loading

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Abstract

A rather unusual failure mode transition from brittle to ductile at high strain rates occurs under a combined pressure and shear loading. This transition also represents a change in the failure mode from a normal stress dominated fracture mode at low loading rates to a shear stress dominated shear banding failure at high strain rates. While most such observations have been in metallic materials, where such transitions are attributed to thermal softening caused by adiabatic heating, in this paper we present evidence of such mode transitions in a polymer. Experimental observations of the pressure-shear loading experiments are reported in two polymers; polycarbonate (PC) and polymethylmethacrylate (PMMA). Dynamic photomechanics techniques were used in obtaining information regarding the crack tip state in these experiments. While PC exhibits a failure mode transi- tion to shear banding, PMMA changes to a shear mode of fracture; dynamic shear fracture has been observed in real-time using high speed photography for the first time. A numerical simulation of the experiment using a simple constitutive description of the material is performed in order to gain an understanding of the evolution of the crack tip fields that generate the observed mode transitions. The results of the simulation suggest that thermal softening may not play a significant role in the failure mode transitions in polymers. On the other hand, it is shown that the competition between shear yielding and normal stress dominated fracture mechanisms is the key to the failure mode transitions in these polymers.

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References

  • Andrews, D.J. (1976). Rupture velocity of plane strain shear cracks. Journal of Geophysical Research 81, 5679–5687.

    ADS  Google Scholar 

  • Argon, A.S. and Salama, M.M. (1977). Growth of crazes in glassy polymers. Philosophical Magazine 36, 1217–1234.

    ADS  Google Scholar 

  • Arruda, E., Boyce, M.C. and Jayachandran, R. (1995). Effects of strain rate, temperature and thermomechanical coupling on the finite strain deformation of glassy polymers. Mechanics of Materials 19, 193–212.

    Article  Google Scholar 

  • Boyce, M.C., Montagut, E.L. and Argon, A.S. (1992). The effects of thermomechanical coupling on the cold drawing process of glassy polymers. Polymer Engineering and Science 32, 1073–1085.

    Article  Google Scholar 

  • Broberg, K.B. (1978). On transient sliding motion. Geophysical Journal of the Royal Astronomical Society 52, 397–432.

    MATH  Google Scholar 

  • Broberg, K.B. (1983). On crack paths. Proceedings of the NSF-ARO Workshop on Dynamic Fracture(Edited by W.G. Knauss, K. Ravi-Chandar and A.J. Rosakis), 140–155.

  • Broberg, K.B. (1987). On crack paths. Engineering Fracture Mechanics 28, 663–679.

    Article  Google Scholar 

  • Buisson, G. and Ravi-Chandar, K. (1990). On the constitutive behavior of polycarbonate under large deformation. Polymer 31, 2071–2076.

    Article  Google Scholar 

  • Burridge, R., Conn, G. and Freund, L.B. (1985). The stability of a rapid mode II shear crack with finite cohesive traction. Journal of Geophysical Research 85, 2210–2222.

    Google Scholar 

  • Cotterell, B. and Rice, J.R. (1980). Slightly curved or kinked cracks. International Journal of Fracture 16, 155–169.

    Article  Google Scholar 

  • Erdogan, F. and Sih, G.C. (1963). On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering 85D, 519–527.

    Google Scholar 

  • Fineberg, J., Gross, S.P., Marder, M. and Swinney, H.L. (1992). Instability in the propagation of fast cracks. Physical Review B45, 5146–5154.

    ADS  Google Scholar 

  • Green, A.K. and Pratt, P.L. (1974). Measurement of the dynamic fracture toughness of polymethylmethacrylate by high-speed photography. Engineering Fracture Mechanics 6, 71–80.

    Article  Google Scholar 

  • Hill, R. (1962). Acceleration waves in solids. Journal of Mechanics and Physics of Solids 10, 1–16.

    Article  MATH  ADS  Google Scholar 

  • Johnson, E. (1990). On the initiation of unidirectional slip. International Journal of Geophysics 101, 125–132.

    ADS  Google Scholar 

  • Kalthoff, J.F. (1988). Shadow optical analysis of dynamic shear fracture. Optical Engineering 27, 835–840.

    Google Scholar 

  • Kalthoff, J.F. (1990). Transition in the failure behavior of dynamically shear loaded cracks. Applied Mechanics Reviews 43, S247–S250.

    Google Scholar 

  • Lambros, J. and Rosakis, A.J. (1995). Shear dominated transonic interfacial crack growth in a bimaterial – I. Experimental observations. Journal of Mechanics and Physics of Solids 43, 169–188.

    Article  MATH  ADS  Google Scholar 

  • Lee, Y.J. and Freund, L.B. (1990). Fracture initiation due to asymmetric impact loading of an edge cracked plate. Journal of Applied Mechanics 57, 104–111.

    Google Scholar 

  • Lu, J. and Ravi-Chandar, K. (1998). Inelastic deformation and localization in polycarbonate under tension. International Journal of Solids and Structures(In press).

  • Lu, J., Dhumne, A. and Ravi-Chandar, K. (1995). Dynamic fracture under pressure and shear. Archiwum Mechanici Stosowanej 47, 971–984.

    Google Scholar 

  • Marchand, A. and Duffy, J. (1988). An experimental study of the formation process of adiabatic shear bands in a structural steel. Journal of Mechanics and Physics of Solids 36, 251–283.

    Article  ADS  Google Scholar 

  • Mason, J.J., Lambros, J. and Rosakis, A.J. (1992). The use of a coherent gradient sensor in dynamic mixed-mode fracture mechanics experiments. Journal of the Mechanics and Physics of Solids 40, 641–661.

    Article  ADS  Google Scholar 

  • Mason, J.J., Rosakis, A.J. and Ravichandar, G. (1994). Full field measurements of the dynamic deformation field around a growing adiabatic shear band at the tip of a dynamically loaded crack or notch. Journal of Mechanics and Physics of Solids 42, 1679–1697.

    Article  ADS  Google Scholar 

  • Needleman, A. and Tvergaard, V. (1992). Analysis of plastic flow localization in metals. Applied Mechanics Reviews 45, S3–S18.

    Article  Google Scholar 

  • Needleman, A. and Tvergaard, V. (1995). Analysis of a brittle-ductile transition under dynamic shear loading. International Journal of Solids and Structures 32, 2571–2590.

    Google Scholar 

  • Rabinowitz, S., Ward, I.M. and Parry, J.S.C. (1970). The effect of hydrostatic pressure on the shear yield behavior of polymers. Journal of Materials and Science 5, 29–39.

    ADS  Google Scholar 

  • Ravi-Chandar, K. (1995). On the failure mode transitions in polycarbonate under dynamic mixed-mode loading. International Journal of Solids and Structures 32, 925–938.

    Article  MATH  Google Scholar 

  • Ravi-Chandar, K. and Knauss, W.G. (1984a). An experimental investigation into dynamic fracture – III: On steady state crack propagation and crack branching. International Journal of Fracture 26, 189–200.

    Article  Google Scholar 

  • Ravi-Chandar, K. and Knauss, W.G. (1984b). An experimental investigation into dynamic fracture – IV: On the interaction of stress waves with propagating cracks. International Journal of Fracture 26, 189–200.

    Article  Google Scholar 

  • Ravi-Chandar, K. and Yang, B. (1997). On the role of the microcracks in the dynamic fracture of brittle materials. Journal of Mechanics and Physics of Solids 45, 535–563.

    Article  ADS  Google Scholar 

  • Rudnicki, J.W. and Rice, J.R. (1975). Conditions for localization of deformation in pressure-sensitive dilatant materials. Journal of Mechanics and Physics of Solids 23, 371–394.

    Article  ADS  Google Scholar 

  • Washabaugh, P.D. and Knauss, W.G. (1993). Nonsteady periodic behavior in the dynamic fracture of PMMA. International Journal of Fracture 59, 189.

    Article  Google Scholar 

  • Witman, C.L., Mayers, M.A. and Park, H.-R. (1990). Observation of an adiabatic shear band in AISI 4340 steel by high-voltage transmission electron microscopy. Metallurgical Transactions A 21A, 707–716.

    ADS  Google Scholar 

  • Zener, C. and Hollomon, J.H. (1944). Effect of strain rate on plastic flow of steel. Journal of Applied Physics 15, 22–32.

    Article  ADS  Google Scholar 

  • Zhou, M., Rosakis, A.J. and Ravichandar, G. (1996a). Dynamically propagating shear bands in impact-loaded pre-notched plates – I. Experimental investigations of temperature signature and propagation speed. Journal of Mechanics and Physics of Solids 44, 981–1006.

    Article  ADS  Google Scholar 

  • Zhou, M., Rosakis, A.J. and Ravichandar, G. (1996b). Dynamically propagating shear bands in impact-loaded pre-notched plates – II. Numerical simulations. Journal of Mechanics and Physics of Solids 44, 1007–1032.

    Article  ADS  Google Scholar 

  • Zhu, Z. and Ravi-Chandar, K. (1999). Experimental investigation of dynamic shear crack growth, Proceedings of the International Conference on Advanced Techniques in Experimental Mechanics, pp. 395–401.

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Ravi-Chandar, K., Lu, J., Yang, B. et al. Failure mode transitions in polymers under high strain rate loading. International Journal of Fracture 101, 33–72 (2000). https://doi.org/10.1023/A:1007581101315

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