Variation of Cone Crack Shape in Ceramic Materials According to Spherical Impact Velocity

입자충격속도에 따른 세라믹재료의 콘크랙 형상 변화

  • Published : 2002.02.01


Damage behaviors induced in silicon carbide by an impact of particle having different material and size were investigated. Especially, the influence of the impact velocity of particle on the cone crack shape developed was mainly discussed. The damage induced by spherical impact was different depending on the material and size of particles. Ring cracks on the surface of specimen were multiplied by increasing the impact velocity of particle. The steel particle impact produced larger ring cracks than that of SiC particle. In the case of high velocity impact of SiC particle, radial cracks were produced due to the inelastic deformation at the impact site. In the case of the larger particle impact, the damage morphology developed was similar to the case of smaller particle one, but a percussion cone was farmed from the back surface of specimen when the impact velocity exceeded a critical value. The zenithal angle of cone cracks developed into SiC material decreased monotonically with increasing of the particle impact velocity. The size and material of particle influenced more or less on the extent of cone crack shape. An empirical equation, $\theta$= $\theta$$\sub$st/, v$\sub$p/(90-$\theta$$\sub$st/)/500 R$\^$0.3/($\rho$$_1$/$\rho$$_2$)$\^$$\frac{1}{2}$/, was obtained as a function of impact velocity of the particle, based on the quasi-static zenithal angle of cone crack. It is expected that the empirical equation will be helpful to the computational simulation of residual strength in ceramic components damaged by the particle impact.


  1. Maekawa, I., SHin, H. S. and Miyata, H., 1991, 'Damage Induced in SiC by a Partical Impact,' Eng. Fract. Mech., Vol. 40, pp. 879-886
  2. Shockey, D. A., Erlich, D. C. and K. C., 1990, 'Particle Impact Damage in Silicon Nitride,' J. Am. Ceram. Soc., Vol. 73, pp. 1613-1619
  3. Akimune, Y., 1989, 'Spherical-Impact Damage and Strength Degradation in silicon Nitride,' J. Am. Ceram. Soc., Vol. 27, pp. 1422-1428
  4. Bennison S. J., Jagota A. and Smith C. A., 1999, 'Fracture of Glass/ Poly(vinyl buytral)($Buatacite^{circledR}$) Laminates in Biaxial Flexu-re,' J. Am. Ceram. Soc, Vol. 82, No. 7, pp. 1761-1770
  5. Flocker F. W. and Dharani L. R., 1997, 'Modelling Fracture in Laminated Architectural Glass Subject to Low Velocity Impact,' J. Mater. Sci., Vol. 32, pp. 2587-2594
  6. 신형섭, 김진한, 오상엽, 2001, '취성재료의 펀칭가공을 위한 충격장치 개발 및 펀칭기구 해석,' 대한기계학회논문집(A), Vol. 25, No. 4, pp. 629-636
  7. Cook, R. F. and Pharr, George M., 1990, 'Direct Observation and Analysis of Indentation Cracking in Glasses and Ceramics,' J. Am. Ceram. Soc., Vol. 73, pp. 787-817
  8. Kocer C. and Collins R. E., 1998, 'Angle of Hertzian Cone Cracks,' J. Am. Ceram. Soc., Vol. 81, No. 7, pp. 1736-1742
  9. Lawn, B. R., Wiederhom, S. M. and Robert, D. E., 1984, 'Effect of Sliding Friction Forces on the Strength of Brittle Materials,' J. Mater. Sci., Vol. 19, pp. 2561-2569
  10. Chaudhri, M. M., Phillips, M. A., 1990, 'Quasi-static Indendation Cracking of Thermally Tempered Soda-lime Glass with Spherical Vickers Indenters,' Phil. Mag. A, Vol. 62, No. 1, pp. 1-27
  11. Lawn, B. R., Wilshaw, T. R., and Hartley, N. E. W., 1974, 'A computer Simulation Study of Hertzian Cone Crack Growth,' Int. J. Fracture, Vol. 10, No. 1, pp. 1-16
  12. Knight C. C., Swain M. V., Chaudhri M. M., 1977, 'Impact of Small Steel Spheres on Glass Surface,' J. Mater. Sci., Vol. 12, pp. 1573-1586
  13. Lawn, B. R., 1998, 'Indentation of Ceramics with Spheres:A Century after Hertz,' J. Am. Ceram. Soc., Vol. 8, pp. 1977-1994
  14. Tasi, T. M., 1971, 'Dynamic Contact Stresses Produced by the Impact of an Axisymmetrical Projectile on an Elastic Half-Space,' Int. J. Solid Structure, Vol. 7, pp. 543-558
  15. 신형섭, 1996, '탄화규소에 구형입자의 정적압입 및 충격시 부하속도의 영향,' 대한기계학회논문집(A), Vol. 20, No. 12, pp. 3847-3855
  16. 신형섭, Maekawa, I., 서창민, 1992, '탄화규소세라믹의 충격손상 및 강도저하에 미치는 입자의 재질 및 크기의 영향,' 대한기계학회논문집, Vol. 16, No. 10, pp. 1869-1876
  17. Suzuki, A, Natsumura, T, Sugiyama, S, Teramae, T and Hamada, S, 1990, 'Particle Impact Damage in Silicon Carbide,' Trans. Japan Soc. Mech. Eng.(Ser. A), Vol. 56, No. 532, pp. 2431-2436

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