대한기계학회논문집A (Transactions of the Korean Society of Mechanical Engineers A)

  • 제24권6호
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  • Pages.1557-1564
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  • 2000
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  • 1226-4873(pISSN)
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  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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이방성비가 큰 직교이방성체의 반 무한 균열에 대한 동적 응력확대계수에 관한 연구

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

  • 발행 : 2000.06.01
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초록

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).

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참고문헌

  1. 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
  2. Nilsson, F., 1972, 'Dynamic Stress Intensity Factors for Finite Strip Problems,' International Journal of Fracture, Vol. 8, pp. 403-411 https://doi.org/10.1007/BF00191102
  3. 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 https://doi.org/10.1016/0020-7225(74)90015-9
  4. Kim, K. S., 1985, 'Dynamic Fracture under Normal Impact Loading of the Crack Faces,' Journal of Applied Mechanics, Vol. 52, pp. 585-592
  5. 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 https://doi.org/10.1046/j.1460-2695.1998.00108.x
  6. 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
  7. 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 https://doi.org/10.1016/0165-2125(96)00005-4
  8. Baker, B. R., 1962, 'Dynamic Stresses Created by a Moving Crack,' Journal of Applied Mechanics, Vol. 29, pp. 449-458
  9. 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
  10. Parton, V. Z. and Boriskovsky, V. G., 1989, Dynamic Fracture Mechanics, Vol. 1 and Vol. 2, Hemisphere Publishing Corporation
  11. Noble, B., 1958, Methods based on Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, London
  12. Anderson, T. L., 1995, 'Principle of Superposition,' in Chapter 2. Linear Elastic Fracture Mechanics, Fracture Mechanics, Second Edition, CRC Press. Inc., pp. 64-66
  13. Copson, E. T., 1950, An Introduction to the Theory of Functions of a Complex Variable, London: Oxford Univ. Press
  14. 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
  15. Freund, L. B., 1990, Dynamic Fracture Mechanics, Cambridge University Press