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Transverse cracks in a strip with reinforced surfaces

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Abstract

The symmetrical problem of two transverse cracks in an elastic strip with reinforced surfaces is formulated in terms of a singular integral equation. The special cases of one central crack or two edge cracks are discussed. Numerical methods for solving the problems with internal cracks are outlined and stress intensity factors are presented for various geometries and degrees of surface reinforcement.

Résumé

Le problème symétrique de deux fissures transversales dans un feuillard élastique dont les surfaces sont renforcées, est posé sous forme d'une équation intégrale singulière. On discute les cas spéciaux d'une fissure centrale ou de deux fissures de bord. Des méthodes numériques pour résoudre les problèmes relatifs à des fissures internes sont proposées, et on présente les facteurs d'intensité des contraintes dans le cas de diverses géométries et de degrés de renforcement des surfaces.

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References

  1. G. D. Gupta and F. Erdogan, The problem of edge cracks in an infinite strip (to appear in J. Appl. Mech. ASME 1975 and to be presented at the annual ASME meeting, Nov. 1974, New York, N.Y.)

  2. I. N. Sneddon and R. P. Srivastav, The stress field in the vicinity of a Griffith crack in a strip of finite width, Int. J. Engng. Sci., (1971) 479–488.

  3. F. Erdogan and G. D. Gupta, On the numerical solution of singular integral equations, Quart, Appl. Math, (1972) 525–534.

  4. S. Krenk, A note on the use of the interpolation polynomial for solutions of singular integral equations, Lehigh University, Report IFSM-73-48, August 1973 (to appear in Quart. Appl. Math. 1975).

  5. D.A., Spence, An eigenvalue problem for elastic contact with finite friction, Proc. Camb. Phil. Soc., 73 (1973) 249–268. See Appendix A.

    Google Scholar 

  6. A., Erdelyi, ed., Tables of integral transforms, Vol. 1, McGraw-Hill, New York, (1953).

    Google Scholar 

  7. F., Erdogan, G.D., Gupta and T.S., Cook, Numerical solution of singular integral equations, in Methods of analysis and solutions of crack problems, G.C., Sih, ed., Noordhoff International Publishing, Leyden (1973).

    Google Scholar 

  8. M., Isida, Laurent series expansion for internal crack problems, in Methods of analysis and solutions of crack problems, G.C., Sih, ed., Noordhoff International Publishing, Leyden (1973).

    Google Scholar 

  9. S. Krenk, The problem of an inclined crack in an elastic strip, Lehigh University, Report IFSM-73-52, December (1973) (will also be published in Int. J. Solids Struct. 1975.)

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This work was partially supported by a grant from NASA-Langley, NGR-39-007-011.

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Krenk, S., Bakioglu, M. Transverse cracks in a strip with reinforced surfaces. Int J Fract 11, 441–447 (1975). https://doi.org/10.1007/BF00033530

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  • DOI: https://doi.org/10.1007/BF00033530

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