Parallel Crack with Constant Velocity in Two Bonded Anisotropic Strip Under Anti-Plane Deformation

두 이방성 띠판에 내재된 면외변형하의 등속평행 균열

  • Published : 2000.02.01


A semi-infinite parallel crack propagated with constant velocity in two bonded anisotropic strip under anti-plane clamped displacement is analyzed. Using Fourier integral transform a Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are determined, where the results give the more general expression applicable to the extent of the anisotropic material having one plane of elastic symmetry for the parallel crack. The dynamic stress intensity factor and energy release rate are also obtained as a closed form, which are the results applicable to the problem both of dynamic and static crack under the same geometry as this study. The stress intensity factor approaches zero at the critical crack velocity which is less than the shear wave velocity, but in typical case of isotropic or orthotropic material agrees with the velocity of shear wave. Also a circular shear stress around crack tip is considered, from which the stress is shown to be approximately symmetric about the horizontal axis. Referring to the maximum stress criteria, it could be shown that a brenched crack is formed by crack growth as crack velocity increases.


Dynamic Stress Intensity Factor;Parallel Crack;Strip;Anti-Plane;Energy Release Rate


  1. Nixhioka, T. and Atluri,N., 1983, 'Path-Independent Integrals, Energy Release Rates, and General Solutions of Near-Tip Fields in Mixed-Mode Dynamic Fracture Mechanics,' Engng. Frac.Mech., Vol. 18, pp. 1-22
  2. He, M.Y. and Hutchinson, J.W., 1989, 'Crack Deflection at an Interface Between Dissimilar Elastic Materials,' Int. J. Solids Structure, Vol. 25, pp. 1053-1067
  3. Carrier, G.F., Krook, M. and Pearson, P. E., 1966, Functions of a Complex Variables, McGraw-Hill, New-York
  4. Nilsson, F., 1972, 'Dynamic Stress-Intensity Factors for Finite Strip Problems,' Int. Journ of Fracture, Vol. 8, pp. 403-411
  5. Noble, B., 1958, Methods Based on the Wiener-Hopf Technique, Pergamon Press, London
  6. 이광호, 황재석, 최상인, 유재용, 1996, '등방성체와 직교이방성체의 접합계면에 내재 된 동적모드 III 균열의 등속 전파,' 대한기계학회논문집(A), 제20권 제12호, pp. 3828-3837
  7. 박재완, 권용수, 정재택, 최성렬, 1997, '상이한 직교이방성 띠판에 대한 면외변형 하의 반무한 등속 평행균열에서의 응력확대계수,' 대한기계학회논문집(A), 제21권 제3호, pp. 447-456
  8. Sih, G.C., and Chen, E.P., 1981, Cracks in Composite Materials, Mechanics of Fracture, Vol.6, Martinus Nijhoff, Hauge
  9. Freund, L. B., 1990, Dynamic Fracture Mechanics, Cambridge University Press
  10. Chiang, C. R.,1989, 'Mode III Interface Crack Propagation,' Engng Frac. Mech., Vol. 32, pp. 545-550
  11. Huang, B., 1995, 'Fundamental Formulas of Dynamic Stress Intensity Factors of Mode III for a Propagating Crack in a Strip,' Engng Frac. Mech., Vol. 50, pp. 61-64
  12. Sih, G.C., 1977, Elastodynamic Crack Problems, Mechanics of Fracture, Noordhoff International Publishing, Leyden, Vol. 4