Acta Mechanica Solida Sinica

, Volume 19, Issue 1, pp 69–74 | Cite as

Progressive fracture modeling of the failure wave in impacted glass

  • Guowen Yao
  • Zhanfang Liu
  • Peiyan Huang


The failure wave has been observed propagating in glass under impact loading since 1991. It is a continuous fracture zone which may be associated with the damage accumulation process during the propagation of shock waves. A progressive fracture model was proposed to describe the failure wave formation and propagation in shocked glass considering its heterogeneous meso-structures. The original and nucleated microcracks will expand along the pores and other defects with concomitant dilation when shock loading is below the Hugoniot Elastic Limit. The governing equation of the failure wave is characterized by inelastic bulk strain with material damage and fracture. And the inelastic bulk strain consists of dilatant strain from nucleation and expansion of microcracks and condensed strain from the collapse of the original pores. Numerical simulation of the free surface velocity was performed and found in good agreement with planar impact experiments on K9 glass at China Academy of Engineering Physics. And the longitudinal, lateral and shear stress histories upon the arrival of the failure wave were predicted, which present the diminished shear strength and lost spall strength in the failed layer.

Key words

the failure wave progressive fracture model glass planar impact 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Rasorenov, S.V., Kanel, G.I., Fortov, V.E. and Abasehov, M.M., The fracture of glass under high-pressure impulsive loading, High Press. Res., Vol.6, 1991, 225–232.CrossRefGoogle Scholar
  2. [2]
    Kanel, G.I., Rasorenov, S.V. and Fortov, V.E., The failure waves and spallations in homogeneous brittle materials, In: Shock Compression of Condensed Matter-1991, Virginia, USA, 1992, 451–454.CrossRefGoogle Scholar
  3. [3]
    Bourne, N.K., Millett, J., Rosenberg, Z. and Murray N., On the shock induced failure of brittle solids, J. Mech. Phys. Solids., Vol.46, 1998, 1887–1908.CrossRefGoogle Scholar
  4. [4]
    Rosenberg, Z., Bourne, N.K. and Millett, J., Direct measurements of strain in shock-loaded glass specimens, J. Appl. Phys., Vol.79, 1996, 3971–3974.CrossRefGoogle Scholar
  5. [5]
    Millett, J., Bourne, N.K., Rosenberg, Z., Measurements of strain in a shock loaded, high-density glass, In: Shock Compression of Condensed Matter-1999, Utah, USA, 2000, 607–610.Google Scholar
  6. [6]
    He, H.L., Jing, F.Q., Jin, X.G. and Kanel, G.I., Microstructure damage of glasses under shock wave compression, Chin. J. High Press. Phys., Vol.12, 1998, 241–249.Google Scholar
  7. [7]
    Cazamias, J.U., Fiske, P.S. and Bless, S.J., Sound speeds of post-failure wave glass, In: Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena, New Mexico, USA, 2001, 173–179.Google Scholar
  8. [8]
    Bless, S.J., Brar, N.S., Kanel, G.I. and Rosenberg, Z., Failure waves in glass, J. Amer. Ceramics Soc., Vol.75, 1992, 1002–1004.CrossRefGoogle Scholar
  9. [9]
    Bourne, N.K., Rosenberg, Z. and Field J.E., High-speed photography of compressive failure in glasses, J. Appl. Phys., Vol.78, 1995, 3736–3739.CrossRefGoogle Scholar
  10. [10]
    Clifton, R.J., Analysis of failure waves in glasses, Appl. Mech. Rev., Vol.46 No.(12–1), 1993, 540–546.CrossRefGoogle Scholar
  11. [11]
    Grady, D.E., Dynamic failure of brittle solids, Sandia Technical Report, 1994, TMDG0694.Google Scholar
  12. [12]
    Brar, N.S., Failure waves in glass and ceramics under shock compression, In: Shock Compression of Condensed Matter-1999, Utah, USA, 2000, 601–606.Google Scholar
  13. [13]
    Zhao, J.H., Tan, X.X., Sun, C.W., Zhao, F., Wen, S.G., Zhang, X.L. and Duan, Z.P., Investigations of failure waves in K9 glass using shadowgraph, Explosion and Shockwaves, Vol.21, No.2, 2001, 150–156.Google Scholar
  14. [14]
    Nikolaevskii, V.N., Limit velocity of fracture front and dynamic strength of brittle solids, Int. J. Eng. Sci., Vol.19, 1981, 41–56.CrossRefGoogle Scholar
  15. [15]
    Resnyansky, A.D., Bourne, N.K., Factors influenceing the shape of the fracture wave induced by the rod impact of a brittle material, In: Shock Compression of Condensed Matter-2001, Georgia, USA, 2002, 743–746.Google Scholar
  16. [16]
    Partom, Y., Modeling failure waves in glass, Int. J. Impact Eng., Vol.21, 1998, 791–799.CrossRefGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  1. 1.College of Civil Engineering and ArchitectureChongqing Jiaotong UniversityChongqingChina
  2. 2.Department of Engineering MechanicsChongqing UniversityChongqingChina
  3. 3.College of Traffic and CommunicationsSouth China University of TechnologyGuangzhouChina

Personalised recommendations