Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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비틀림하의 복합원통에 있는 원주 표면균열에 대한 응력 확대 계수

  • 김영종 (상주대학교 기계공학부)
  • Published : 2000.09.01
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Abstract

Stress intensity factors for the circumferential surface crack of a long composite cylinder under torsion is investigated. The problem is formulated as a singular integral equation of the first kind with a Cauchy type kernel using the integral transform technique. The mode III stress intensity factors at the crack tips are presented when (a) the inner crack tip is away from the interface and (b) the inner crack tip is at the interface.

Keywords

References

  1. Sneddon, I. N., and Lowengrub, M., 'Crack Problems in the Classical Theory of Elasticity,' Wiley, New York, pp. 130-207, 1969
  2. Collins, W. D., 'Some Axially Symmetric Stress Distributions in Elastic Solids Containing Penny-shaped Cracks. II. Cracks in Solid Cracks in Solid under Torsion,' Mathematika, Vol. 9, pp. 25-37,1962
  3. Benthem, J. P., and Koiter, W. T., 'Asymtotic Approximations to Crack Problems. Method of Analysis and Solutions to Crack Problems,' Noordhoff International Publishing, Leyden, The Netherlands, pp. 131-178, 1973
  4. Erguven, M. E., 'Running Penny-shaped Crack in an Infinite Elasic Solid under Torsion,' Int. J. Fracture, Vol. 29, pp. 135-142, 1985 https://doi.org/10.1007/BF00034314
  5. Selvadurai, A. P. S., and Singh, B. M., 'The Annular Crack Problem for an Isotropic Elastic Solid,' Q. JI Mech. appl. Math., Vol. 38, pp. 233-243,1985 https://doi.org/10.1093/qjmam/38.2.233
  6. Keer, L. M., and Watts, H. A., 'Mixed Boundary Value Problems for a Cylindrical Shell,' Int. J. Solids Structures, Vol. 12, pp. 723-729,1976 https://doi.org/10.1016/0020-7683(76)90037-8
  7. Wijeyewickrema, A. C, Keer, L. M., Hirashima, K., and Mura, T., 'The Annular Crack Surrounding an Elastic Fiber in a Tension Field,' Int. J. Solids Structures, Vol. 27, pp. 315-328,1991 https://doi.org/10.1016/0020-7683(91)90085-T
  8. Santhanam, S., 'Fracture Criterion for the Axisymmetric Disking Process,' Int. J. Fracture, Vol. 60, pp. 65-77, 1993 https://doi.org/10.1007/BF00034512
  9. Han Xue-li and Wang Duo, 'The Annular Crack in a Nonhomogeneous Matrix Surrounding a Fiber under Torsional Loading - I. Inner Crack Tip away from or Terminating at the Interface,' Engineering Fracture Mechanics, Vol. 53, pp. 456-464, 1996
  10. Kim, Y. J., 'Stress Intensity Factors for the Annular Crack Surrounding an Elastic Fiber under Torsion,' Int. J. Solids Structures, Vol. 12, pp. 2463-2476,1997 https://doi.org/10.1016/S0020-7683(96)00153-9
  11. Erdogan, F., and Cook, T. S., 'Antiplane Shear Crack Terminating at and Going Through a Bimaterial Interface,' Int. J. Fracture, Vol. 10, pp. 227-240,1974 https://doi.org/10.1007/BF00113928
  12. Erdelyi, A., 'Tables of Integral Transforms. Vols 1 and 2,' McGraw-Hill, New York, 1954
  13. Erdogan, F., Gupta, G. D., and Cook, T. S., 'Numerical Solution of Singular Integral Equations. Method of Analysis and Solutions to Crack Problems,' Noordhoff International Publishing, Leyden, The Netherlands, pp. 368-425, 1973