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An Analysis of Flat-Crack in Homogeneous Anisotropic Solids Considering Non-Singular Term

비특이항을 고려한 균질이방성체내 수평균열의 해석

  • Published : 2000.01.01

Abstract

The one-parameter singular expression for stresses and displacements near a crack tip has been widely thought to be sufficiently accurate over a reasonable re ion for any geometry and loading conditions. In many cases, however subsequent terms of the series expansion are quantitatively significant, and so we now consider the evaluation of such terms and their effect on the predicted crack growth direction. For this purpose the problem of a cracked orthotropic plate subjected to a biaxial load is analysed. It is assumed that the material is ideal homogeneous anisotropic. BY considering the effect of the load applied parallel to the plane of the crack, the distribution of stresses and displacements at the crack tip is reanalyzed. In order to determine values for the angle of initial crack extension we employ the normal stress ratio criterion.

Keywords

Flat Crack;Homogeneous Anisotropic Solids;Biaxial Load;Singular Term;Crack Growth Direction;Non-Singular Term

References

  1. 이강용, 김성호, 박문복, '멱급수 반대칭하중을 받는 다층재 중앙균열의 응력세기계수,' 대한기계학회 논문집 A, 제18권 제12호, pp. 3219-3226
  2. Lekhinitskii, S. G., 1968, Anisotropic Plates, Gordon and Breach Science Publishers, New-York
  3. Savin, G. N., 1961, Stress Concentration Around Holes, Pergamon Press, Oxford
  4. Buczek, M.B. and Herakovich, C.T., 1985, 'A Normal Stress Criterion for Crack Extension Direction in Orthotropic Composite Materials,'J. Compos. Mater., Vol. 19, pp. 544-553 https://doi.org/10.1177/002199838501900606
  5. Ayari, M. L. and Ye, Z., 1995, 'Maximum Stress Theory for Mixed Mode Crack Propagation in Anisotropic Solids,' Engng. Fracture Mech., Vol. 52, pp. 389-400
  6. Kadi, H. EL. and Ellyin, F., 1995, 'Crack Extension in Unidirectional Composite Laminate,' Engng. Fracture Mech., Vol. 51, pp. 27-36 https://doi.org/10.1016/0013-7944(94)00222-4
  7. 이강용, 박문복, 김성호, '반대칭하중을 받는 적충재 중앙균열의 응력세기계수,' 대한기계학회 논문집A, 제18권 제12호, pp.3219-3226
  8. Sih, G. C. and Liebowitz, H., 1968, Mathematical Theories of Brittle Fracture, in Fracture Mechanics Vol. II(H. Liebowitz ed.), Academic Press, New York, pp. 108-130
  9. Sih, G. C., 1981, Cracks in Materials Possessing Homogeneous Anisotropy, in Cracks in Composite Materials (Edited by G.C.Sih) Martinus Nijhoff, Hague
  10. Sih, G. C., Paris, P. C. and Irwin, G. R., 1965 'On Cracks in Rectilinearly Anisotropic Bodies,' Int. J. Fracture, Vol. 1, pp. 189-203 https://doi.org/10.1007/BF00186854