Dynamic Stress Intensity Factors of the Half Infinite Crack in the Orthotropic Material Strip with a Large Anisotropic Ratio

이방성비가 큰 직교이방성체의 반 무한 균열에 대한 동적 응력확대계수에 관한 연구

  • Published : 2000.06.01


When the half infinite crack in the orthotropic material strip with a large anisotropic ratio(E11>>E22) propagates with constant velocity, dynamic stress component $\sigma$y occurre d along the $\chi$ axis is derived by using the Fourier transformation and Wiener-Hopf technique, and the dynamic stress intensity factor is derived. The dynamic stress intensity factor depends on a crack velocity, mechanical properties and specimen hight. The normalized dynamic stress intensity factors approach the maximum values when normalized time(=Cs/a) is about 2. They have the constant values when the normalized time is greater than or equal to about 2, and decrease with increasing a/h(h: specimen hight, a: crack length) and the normalized crack propagation velocity( = c/Cs, Cs: shear wave velocity, c: crack propagation velocity).


Orthotropic Material;Strip;Shear Wave Velocity;Fourier Transformation;Wiener-Hopf Technique;Dynamic Stress Intensity Factor;Normal Impact Load;Crack Surface;Anisotropic Ratio;Half Infinite Crack


  1. Copson, E. T., 1950, An Introduction to the Theory of Functions of a Complex Variable, London: Oxford Univ. Press
  2. Freund, L. B., 1972, 'Crack Propagation in an Elastic Solid Subjected to General Loading: Pt.l, Constant Rate of Propagation,' Journal of the Mechanics and Physics of Solids, Vol. 20, No. 3, pp. 129-140
  3. Freund, L. B., 1990, Dynamic Fracture Mechanics, Cambridge University Press
  4. Parton, V. Z. and Boriskovsky, V. G., 1989, Dynamic Fracture Mechanics, Vol. 1 and Vol. 2, Hemisphere Publishing Corporation
  5. Noble, B., 1958, Methods based on Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, London
  6. Anderson, T. L., 1995, 'Principle of Superposition,' in Chapter 2. Linear Elastic Fracture Mechanics, Fracture Mechanics, Second Edition, CRC Press. Inc., pp. 64-66
  7. Georgiadis, H. G. and Charalambakis, N. 1994, 'An Analytical/Numerical Approach for Cracked Elastic Strips under Concentrated Loads-Transient Response,' International Journal of Fracture, Vol. 65, pp. 49-61
  8. Goorgiadis, H. G. and Rigator, A. P., 1996, 'Transient SIF Results for a Cracked Viscoelastic Strip under Concentrated Impact Loading-An Integral-Transform/Function-Theoretic Approach,' Wave Motion, Vol. 24, pp. 41-57
  9. Baker, B. R., 1962, 'Dynamic Stresses Created by a Moving Crack,' Journal of Applied Mechanics, Vol. 29, pp. 449-458
  10. Kim, K. S., 1985, 'Dynamic Fracture under Normal Impact Loading of the Crack Faces,' Journal of Applied Mechanics, Vol. 52, pp. 585-592
  11. Yu, S. W. and Chen, E. T., 1998, 'Transient Response of a Cracked Infinite Pizoelect Strip under Anti-plane Impact,' Fatgue & Fracture of Engineering Materials & Strucrures, Vol. 21, pp. 1381-1388
  12. Wellmar, P., Fellers, C, Nilsson, F., and Delhage, L., 1997, 'Crack-Tip Characterization in Paper,' Journal of Pulp and Paper Science, Vol. 23, No. 6, pp. J269-J275
  13. Freund, L. B., 1974, 'The Stress Intensity Factor due to Normal Impact Loading of the Faces of a Crack,' International Journal of Engineering Science, Vol. 12, No. 2, pp. 179-189
  14. Chen, E. P. and Sih, G. C, 1977, 'Semi-Infinite Cack Motion Maintained by Displacement Boundary Conditions,' in Mechanics of Fracture, Vol. 4, Elastodynamic Crack Problems, ed. by Sih, G. C, pp. 1-82
  15. Nilsson, F., 1972, 'Dynamic Stress Intensity Factors for Finite Strip Problems,' International Journal of Fracture, Vol. 8, pp. 403-411