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An Efficient Method of Calculating Stress Intensity Factor for Surface Cracks in Holes Under Uni-variant Stressing

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Methods and Applications for Modeling and Simulation of Complex Systems (AsiaSim 2022)

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Abstract

An efficient method of calculating stress intensity factors for surface cracks in holes under univariant stressing is proposed in this paper. General weight function (GWF) is utilized for its simple use and efficiency. Some deduction is made in this method to convert the integral operation of weight function to the simple polynomial operation, in which way calculation efficiency can be improved. Also, to construct the matrix of reference solutions in GWF, the sensitivity of each critical geometric parameters is investigated, based on which some simplification can be made, which saves much time in constructing the matrix of reference solutions.

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References

  1. Corran, R., Gorelik, M., Lehmann, D., Mosset, S.: The development of anomaly distributions for machined holes in aircraft engine rotors. ASME Turbo Expo 2006: Power for Land, Sea and Air, GT2006-90843 (2006)

    Google Scholar 

  2. McCInng, R.C., Lee, Y.D., Cardinal, J.W., Guo, Y.: The pursuit of K: Reflections on the current state-of-the-art in stress intensity factor solutions for practical aerospace applications. In: 27th ICAF, pp. 1–18 (2013)

    Google Scholar 

  3. McClung, R.C., Enright, M.P., Lee, Y.-D., Huyse, L.J.: Efficient fracture design for complex turbine engine components. In: Proceedings of ASME Turbo Expo 2004 Power for Land, Sea and Air, GT2004-53323 (2004)

    Google Scholar 

  4. Wu, X.R., Carlsson, A.J.: Weight Functions and Stress Intensity Factor Solutions. Pergamon Press, New York (1991)

    Google Scholar 

  5. Tada, H., Paris, P.C., Irwin, G.R.: The stress analysis of cracks handbook. Paris Production Incorporated, St. Louis (1985)

    Google Scholar 

  6. Murakami, Y.: Stress Intensity Factors Handbook. Pergamon Press, Oxford (1992)

    Google Scholar 

  7. Buckner, H.F.: A novel principle for the computation of stress intensity factors. Zeitschrift fuer Angewandte Mathematik and Mechanik 50(9), 529–546 (1970)

    MathSciNet  Google Scholar 

  8. Rice, J.: Some remarks on elastic crack-tip stress field [J]. Int. J. Solids Struct. 8(6), 751–758 (1972)

    Article  MATH  Google Scholar 

  9. Wu, X.R.: Analytical wide-range weight functions for various finite cracked bodies. Eng. Anal. Bound. Elem. 9, 307–322 (1992)

    Article  Google Scholar 

  10. Shen, G., Glinka, G.: Weight function for a surface semi-elliptical crack in a finite thickness plate. Theoret. Appl. Fract. Mech. 15, 237–245 (1991)

    Article  Google Scholar 

  11. Glinka, G., Shen, G.: Universal features of weight functions for cracks in mode. Eng. Fract. Mech. 40, 1135–1146 (1991)

    Article  Google Scholar 

  12. Ojdrovic, R.P., Petroski, H.J.: Weight functions from multiple reference states and crack profile derivatives. Eng. Fract. Mech. 39(1), 105–111 (1991)

    Article  Google Scholar 

  13. Beghini, M., Bertini, L., Vitale, E.: A numerical approach for determining weight functions in facture mechanics. Int. J. Numer. Meth. Eng. 32, 595–607 (1991)

    Article  MATH  Google Scholar 

  14. Lorenzo, J.M., Cartwright, D.J., Aliabadi, N.H.: Boundary-element weight function analysis for crack-surface displacements and strip-yield cracks. Eng. Anal. Bound. Elem. 13, 283–289 (1994)

    Article  Google Scholar 

  15. Wang, X., Lambert, S.B.: Stress intensity factors for low aspect ratio semi-elliptical surface cracks in finite-thickness plates subjected to nonuniform stress. Eng. Fract. Mech. 51, 517–532 (1995)

    Article  Google Scholar 

  16. NASGRO Reference Manual, Version9.1, NASA Johnson Space Center and Southwest Research Institute (2019)

    Google Scholar 

  17. Southwest Research Institute. DARWIN theory. Southwest Research Institute, Design Assessment of Reliability with Inspection, San Antonio, US (2008)

    Google Scholar 

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Correspondence to Han Jing .

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Jing, H., Jian, C., Liu, L. (2022). An Efficient Method of Calculating Stress Intensity Factor for Surface Cracks in Holes Under Uni-variant Stressing. In: Fan, W., Zhang, L., Li, N., Song, X. (eds) Methods and Applications for Modeling and Simulation of Complex Systems. AsiaSim 2022. Communications in Computer and Information Science, vol 1713. Springer, Singapore. https://doi.org/10.1007/978-981-19-9195-0_2

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  • DOI: https://doi.org/10.1007/978-981-19-9195-0_2

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-9194-3

  • Online ISBN: 978-981-19-9195-0

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