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Analysis of surface cracks using the line-spring boundary element method and the virtual crack extension technique

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Abstract

The authors have developed a new line-spring boundary element method which couples the line-spring model with the boundary element method to deal with the problem of a surface cracked plate. However, the drawback of the line-spring model is that a reliable stress intensity factor could not be directly obtained near the free surface intersection. Therefore, the virtual crack extension technique is employed in a post-processor of the line-spring boundary element method to obtain the stress intensity factor at the crack front-free surface intersection. Theoretical analysis is described. Stress intensity factors for surface cracks are calculated to verify the proposed method. The interaction of two surface cracks is also investigated. The solutions obtained by the line-spring boundary element method show that the method proposed is efficient and reasonably accurate.

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References

  1. J.K.Rice and N.Levy, Journal of Applied Mechanics 39 (1972) 185–194.

    Google Scholar 

  2. F.Delale and F.Erdogan, International Journal of Engineering Science 19 (1981) 1331–1340.

    Google Scholar 

  3. D.M.Parks and C.S.White, Journal of Pressure Vessel Technology 104 (1982) 287–292.

    Google Scholar 

  4. D.M.Parks, Journal of Pressure Vessel Technology 103 (1981) 246–254.

    Google Scholar 

  5. M.D.German, V.Kumar and H.G.DeLorenzi, Comput. Structures 17 (1983) 881–890.

    Google Scholar 

  6. V.Kumar, M.D.German and B.I.Schumacher, Journal of Pressure Vessel Technology 107 (1985) 403–411.

    Google Scholar 

  7. T.Miyoshi, M.Shiratori and Y.Yoshida, Journal of Pressure Vessel Technology 108 (1986) 305–311.

    Google Scholar 

  8. T.Miyoshi, M.Shiratori and Y.Yoshida, Engineering Fracture Mechanics 24 (1986) 103–110.

    Google Scholar 

  9. E.De Langre and L.Ebersolt, Fatigue Fracture of Engineering Materials and Structures 10 (1987) 153–167.

    Google Scholar 

  10. C.A.Brebbia, The Boundary Element Method for Engineers, Pentech Press, London (1978).

    Google Scholar 

  11. N.Miyazaki and H.Kaneko, International Journal of Fracture 31 (1986) R3-R10.

    Google Scholar 

  12. N.Miyazaki, T.Ikeda and T.Munakata, International Journal of Fracture 34 (1987) R43-R48.

    Google Scholar 

  13. N.Miyazaki, H.Kaneko and T.Munakata, International Journal of Pressure Vessels and Piping 38 (1989) 1–14.

    Google Scholar 

  14. Z.J.Zeng and S.H.Dai, Engineering Fracture Mechanics 36 (1990) 853–858.

    Google Scholar 

  15. I.S.Raju and J.C.Newman, Engineering Fracture Mechanics 11 (1979) 817–829.

    Google Scholar 

  16. D.P.Rooke and D.J.Cartwright, Compendium of Stress Intensity Factors HMSO, London (1976).

    Google Scholar 

  17. Y.C. Wang, in Boundary Elements, IX, C.A. Brebbia (ed.), Springer-Verlag, 2 (1987) 111–125.

  18. ASME Boiler and Pressure Vessel Code, Section XI, Rules for Inservice Inspection of Nuclear Power Plant Components (1977).

  19. J.C.Newman and I.S.Raju, Engineering Fracture Mechanics 15 (1981) 185–192.

    Google Scholar 

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Zeng, ZJ., Dai, SH. & Yang, YM. Analysis of surface cracks using the line-spring boundary element method and the virtual crack extension technique. Int J Fract 60, 157–167 (1993). https://doi.org/10.1007/BF00012443

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  • DOI: https://doi.org/10.1007/BF00012443

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