DOI QR코드

DOI QR Code

Dynamic stress intensity factors for two parallel cracks in an infinite orthotropic plate subject to an impact load

  • Itou, Shouetsu (Department of Mechanical Engineering, Kanagawa University)
  • 투고 : 2008.05.12
  • 심사 : 2009.09.25
  • 발행 : 2009.12.20

초록

Stresses are solved for two parallel cracks in an infinite orthotropic plate during passage of incoming shock stress waves normal to their surfaces. Fourier transformations were used to reduce the boundary conditions with respect to the cracks to two pairs of dual integral equations in the Laplace domain. To solve these equations, the differences in the crack surface displacements were expanded to a series of functions that are zero outside the cracks. The unknown coefficients in the series were solved using the Schmidt method so as to satisfy the conditions inside the cracks. The stress intensity factors were defined in the Laplace domain and were inverted numerically to physical space. Dynamic stress intensity factors were calculated numerically for selected crack configurations.

키워드

참고문헌

  1. Ang, D.D. and Williams, M.L. (1961), "Combined stresses in an orthotropic plate having a finite crack", J. Appl. Mech., ASME, 28, 372-378 https://doi.org/10.1115/1.3641714
  2. Chen, Y.H. and Hasebe, N. (1994), "Interaction between a main-crack and a parallel micro-crack in an orthotropic plane elastic solid", Int. J. Solids Struct., 31, 1877-1890 https://doi.org/10.1016/0020-7683(94)90197-X
  3. Chen, Y.H. and Hasebe, N. (1995), "Interaction of two off-axis cracks exhibiting orthotropic and general anisotropic behavior under arbitrary extension", Theor. Appl. Fract. Mec., 22, 249-260 https://doi.org/10.1016/0167-8442(94)00063-7
  4. Cinar, A. and Erdogan, F. (1983), "The crack and wedging problem for an orthotropic strip", Int. J. Fract., 23, 83-102 https://doi.org/10.1007/BF00042809
  5. Delale, F. and Erdogan, F. (1977), "The problem of internal and edge cracks in an orthotropic strip", J. Appl. Mech., ASME, 44, 237-242 https://doi.org/10.1115/1.3424031
  6. Itou, S. (1976), "Axisymmetric slipless indentation of an infinite elastic hollow cylinder", Bull. Cal. Math. Soc., 68, 157-165
  7. Itou, S. (1995), "Dynamic stress intensity factors around two parallel cracks in an infinite elastic plate", Acta Mech., 108, 87-99 https://doi.org/10.1007/BF01177330
  8. Itou, S. and Haliding, H. (1997), "Dynamic stress intensity factors around two parallel cracks in an infiniteorthotropic plane subjected to incident harmonic stress waves", Int. J. Solids Struct., 34, 1145-1165 https://doi.org/10.1016/S0020-7683(96)00068-6
  9. Kassir, M.K. and Bandyopadhyay, K.K. (1983), "Impact response of a cracked orthotropic medium", J. Appl. Mech., ASME, 50, 630-636 https://doi.org/10.1115/1.3167101
  10. Kaysser, W.A. and Ilschner, B. (1995), "FGM research activities in Europe", MRS Bull., 20, 22-26
  11. Ma, L., Li, J., Abdelmoula R. and Wu, L.Z. (2007a), "Dynamic stress intensity factor for cracked functionally graded orthotropic medium under time-harmonic loading", Eur. J. Mech. A, 26, 325-336 https://doi.org/10.1016/j.euromechsol.2006.06.003
  12. Ma, L., Nie, W., Wu, L.Z. and Guo, L.C. (2007b), "Scattering of anti-plane stress waves by a crack in a nonhomogeneous orthotropic medium", Comp. Struct., 79, 174-179 https://doi.org/10.1016/j.compstruct.2005.12.002
  13. Miller, M. and Guy, W.T. (1966), "Numerical inversion of the Laplace transform by use of Jacobi polynomials", SIAM J. Numer. Anal., 3, 624-635 https://doi.org/10.1137/0703055
  14. Morse, P.M. and Feshbach, H. (1958), Methods of Theoretical Physics, Vol. 1, McGraw-Hill, New York
  15. Ohyoshi, T. (1973), "Effect of orthotropy on singular stresses for a finite crack", J. Appl. Mech., ASME, 40, 491-497 https://doi.org/10.1115/1.3423011
  16. Peters, S.T. (Editor) (1998), Handbook of Composites, Chapman & Hall, London
  17. Sampath, S., Herman, H., Shimoda, N. and Saito, T. (1995), "Thermal spray processing of FGMs", MRS Bull., 20, 27-31
  18. Shindo, Y., Nozaki, H. and Higaki, H. (1986), "Impact response of a finite crack in an orthotropic strip", Acta Mech., 62, 87-104 https://doi.org/10.1007/BF01175856
  19. Shindo, Y., Higaki, H. and Nozaki, H. (1991), "Impact response of symmetric edge cracks in an orthotropic strip", JSME Int. J., Series I, 34, 7-12 https://doi.org/10.1299/jsmea1988.34.1_7
  20. Shindo, Y., Higaki, H. and Nozaki, H. (1992), "Impact response of a single edge crack in an orthotropic strip", J. Appl. Mech., ASME, 59, S152-S157 https://doi.org/10.1115/1.2899480
  21. Takakuda, K. (1982), "Scattering of plane harmonic waves by cracks", Trans. Jap. Soc. Mech. Eng., Series A, 48, 1014-1020
  22. Yau, W.F. (1967), "Axisymmetric slipless indentation of an infinite elastic cylinder", SIAM J. Appl. Math., 15, 219-227 https://doi.org/10.1137/0115018

피인용 문헌

  1. Dynamic stresses around an interface crack between a nonhomogeneous bonding layer and two dissimilar orthotropic half-spaces subject to an impact load vol.97, pp.6, 2017, https://doi.org/10.1002/zamm.201600114
  2. Probabilistic elastic-plastic analysis of repaired cracks with bonded composite patch vol.20, pp.6, 2016, https://doi.org/10.12989/scs.2016.20.6.1173
  3. Elastic-plastic analysis of the J integral for repaired cracks in plates vol.4, pp.2, 2015, https://doi.org/10.12989/amr.2015.4.2.087