Evaluation of Stress Intensity Factor for A Partially Patched Crack Using an Approximate Weight Function

  • Kim, Jong-Ho (Force Measurement & Evaluation Lab., Korea Research Institute of Standards and Science(KRISS)) ;
  • Hong, Seong-Gu (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology) ;
  • Lee, Soon-Bok (Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology)
  • Published : 2003.11.01

Abstract

A cracked plate with a patch bonded on one side was treated with a crack-bridging model using weight function: assuming continuous distribution of springs acting between th crack surfaces, the stress intensity factor of the patched crack was numerically obtained. Especially in the case of a patched crack subjected to residual non-uniform stress, the stress intensity factor was easily with the corresponding approximate weight function. This paper presented the stress intensity factors for a crack partially patched within a finite plate or a patched crack initiated from a notch.

Keywords

References

  1. Bueckner, H. F., 1970, 'A Novel Principle for the Computation of Stress Intensity Factors,' Z. Angew. Math. Mech., Vol. 50, pp. 529-546
  2. Kim, J. H. and Lee, S. B., 2000, 'Calculation of Stress Intensity Factor Considering out-of-plane Bending for a Patched Crack with Finite Thickness,' KSME, Spring Annual Meeting, Vol. A, pp. 165-169
  3. Kim, J. H. and Lee, S. B., 2000, 'Calculation of Stress Intensity Factor Using Weight Function Method for a Patched Crack with Debonding Region,' Engng. Fract. Mech., Vol. 67, pp. 303-310 https://doi.org/10.1016/S0013-7944(00)00058-8
  4. Kim, J. H., Lee, K. W., Seo, D. C. and Lee, S. B., 2000, 'Calculation of Stress Intensity Factor Using Weight Function Method for a Patched Crack,' Key Eng. Mater., Vol. 183-187, pp. 103-108 https://doi.org/10.4028/www.scientific.net/KEM.183-187.103
  5. Kujawski, D., 1991, 'Estimation of Stress Intensity Factors for Small Cracks at Notches,' Fatigue Fract. Engng. Mater. Struct., Vol. 14, No. 10, pp. 953-965 https://doi.org/10.1111/j.1460-2695.1991.tb00005.x
  6. Newman, J. C. Jr., 1982, 'Prediction of Fatigue Crack Growth Under Variable-Amplitude and Spectrum Loading Using a Closure Model,' ASTM STP 761, pp. 255-277
  7. Newman, J. C. Jr., Wu, X. R., Venneri, S. L. and Li, C. G., 1994, 'Small-Crack Effects in High-Strength Aluminum Alloys,' NASA/CAE Cooperative Program, NASA RP1309
  8. Rice, J. R., 1972, 'Some Remarks on Elastic Crack-tip Stress Fields,' Int. J. Solids Struct., Vol. 8, pp. 751-758 https://doi.org/10.1016/0020-7683(72)90040-6
  9. Rose, L. R. F., 1988, 'Theoretical Analysis of Crack Patching,' A.A. Baker and R. Jones, Editors, Bonded Repair of Aircraft Structures, Martinus Nijhoff Publishers, Dordrecht, The Netherlands
  10. Rose, L. R. F., 1987, 'Crack Reinforcement by Distributed Spring,' J. Mech. Phys. Solids, Vol. 35, No. 4, pp. 383-405 https://doi.org/10.1016/0022-5096(87)90044-5
  11. Wang, C. H. and Rose, L. R. F., 1998, 'Bonded Repair of Cracks Under Mixed Mode Loading,' Int. J. Solids Structures, Vol. 35, No. 21, pp. 2749-2773 https://doi.org/10.1016/S0020-7683(97)00240-0
  12. Wang, C. H. and Rose, L. R. F., 1999, 'A Crack Bridging Model for Bonded Plates Subjected to Tension and Bending,' Int. J. Solids Structures, Vol. 36, pp. 1985-2014 https://doi.org/10.1016/S0020-7683(98)00070-5
  13. Wang, G. S., 1991, 'Crack Surface Displacement for Mode I One-Dimensional Cracks in General Two-Dimensional Geometry,' Engng. Fract. Mech., Vol. 40, No. 4, pp. 535-548 https://doi.org/10.1016/0013-7944(91)90149-U