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Computation of three-dimensional weight functions for circular and elliptical cracks

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Abstract

Three-dimensional mode I fundamental fields for circular and elliptical cracks in isotropic, finite bodies with prescribed displacement and traction boundaries are analyzed by a previously introduced finite element method [1]. For the circular crack, we present a procedure for determining the Fourier coefficients of the stress intensity factor by using the ordinary fundamental fields.

Résumé

En recourant à une méthode par éléments finis présentée précédemment (1), on analyse les champs fondamentaux à trois dimensions de Mode I correspondant à des fissures circulaires et elliptiques dans des corps finis isotropes, qui sont soumis à des limites définies de déplacements et de traction.

Dans le cas d'une fissure circulaire, on présente une procédure pour déterminer les coefficients de Fourier du facteur d'intensité de contrainte, en utilisant les champs fondamentaux ordinaires.

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References

  1. T.-L. Sham, International Journal of Solids and Structures 23 (1987) 1357–1372.

    Google Scholar 

  2. J.R. Rice, Journal of Applied Mechanics 52 (1985) 571–579.

    Google Scholar 

  3. J.R. Rice, International Journal of Solids and Structures 21 (1985) 781–791.

    Google Scholar 

  4. H.F. Bueckner, International Journal of Solids and Structures 23 (1987) 57–93.

    Google Scholar 

  5. 5. J.R. Rice, Weight Function Theory for Three-Dimensional Elastic Crack Analysis, ASTM-STP Proceedings of the 20th National Symposium on Fracture Mechanics, Lehigh University, June (1987) to appear

  6. D.M. Parks and E.M. Kamenetzky, International Journal for Numerical Methods in Engineering 14 (1979) 1693–1706.

    Google Scholar 

  7. P.M. Besuner, in Mechanics of Crack Growth, ASTM STP 590, American Society for Testing and Materials, Philadelphia (1976) 403–419.

    Google Scholar 

  8. R.C. Labbens, J. Heliot and A. Pellissier-Tanon, in Cracks and Fracture, ASTM STP 601, American Society for Testing and Materials, Philadelphia (1976) 448–470.

    Google Scholar 

  9. 9. D.P. Rooke, D.J. Cartwright and M.H. Aliabadi, in Proceedings of the 4th Conference on Numerical Methods in Fracture Mechanics, San Antonio, Texas, Pineridge Press (1987) 15–26.

  10. C. Mattheck, P. Morawietz and D. Munz, International Journal of Fracture 23 (1983) 201–212.

    Google Scholar 

  11. V.A. Vainshtok and I.V. Varfolomeyev, International Journal of Fracture 35 (1987) 175–186.

    Google Scholar 

  12. P.C. Paris, R.M. McMeeking and H. Tada, in Cracks and Fracture, ASTM STP 601, American Society for Testing and Materials, Philadelphia (1976) 471–489.

    Google Scholar 

  13. H. Neuber, Kerspannungslehre, Springer-Verlag, Berlin (1985).

    Google Scholar 

  14. T.-L. Sham, Engineering Fracture Mechanics 31 (1988) 567–576.

    Google Scholar 

  15. H. Tada, P. Paris and G. Irwin, The Stress Analysis of Cracks Handbook, Del Research Corporation, Hellertown, Pennsylvania (1973).

    Google Scholar 

  16. 16. H. Gao, Weight Functions for External Circular Cracks, International Journal of Solids and Structures (1988) to appear.

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Sham, T.L., Zhou, Y. Computation of three-dimensional weight functions for circular and elliptical cracks. Int J Fract 41, 51–75 (1989). https://doi.org/10.1007/BF00014837

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  • DOI: https://doi.org/10.1007/BF00014837

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