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Biaxial Load Effect on Crack Initiation for Orthotropic Materials

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Abstract

This paper is concerned with the study of the elastostatic fracture response of an orthotropic plate with an inclined crack and subjected at infinity to a biaxial uniform load. To this end an unconventional approach to the derivation of the complex variable expressions of the elastic fields is proposed. The above formulation has been used to solve the boundary value problem as superposition of Mode-I and Mode-II crack problems and it is shown that the near tip asymptotic expressions of stress and displacement fields are affected by non-singular terms originated by load biaxiality. The maximum circumferential tensile stress criterion is applied in order to investigate the effects of non-singular terms on the angle of crack extension.

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References

  1. Muskelishvili, N.I., Some Basic Problems on the Mathematical Theory of Elasticity, Groningen, Noordhoof, 1952.

    Google Scholar 

  2. Savin, G.N., Stress Concentration Around Holes, Pergamon Press, Oxford, 1961.

    Google Scholar 

  3. Lekhnitskii, S.G., Theory of Elasticity of an Anisotropic Elastic Body, Holden-Day, San Francisco, 1963.

    Google Scholar 

  4. Sih, G.C., Paris, P.C. and Irwin, G.R., ‘On cracks in rectilinearly anisotropic bodies’, Int. J. Fract. Mech. 1 (1965) 189–203.

    Google Scholar 

  5. Bogy, D.B., ‘The plane solution for anisotropic elastic wedges under normal and shear traction’, J. Appl. Mech. 39 (1972) 1103–1109.

    Google Scholar 

  6. Bowie, O.L. and Freese, C.E., ‘Central crack in plane orthotropic rectangular sheet’, Int. J. Fract. Mech. 8 (1972) 49–58.

    Google Scholar 

  7. Barnett, D.M. and Asaro, R.J., ‘The fracture mechanics of slit-like cracks in anisotropic elastic media’, J. Mech. Phys. Solids 20 (1972) 353–366.

    Google Scholar 

  8. Kuo, M.G. and Bogy, D.B., ‘Plane solutions for the displacement and traction-displacement problem for anisotropic elastic wedges’, J. Appl. Mech. 41 (1974) 197–203.

    Google Scholar 

  9. Tupholme, G.E., ‘A study of cracks in orthotropic crystals using dislocations layers’, J. Eng. Math. 8 (1974) 57–69.

    Google Scholar 

  10. Rathod, H.T., ‘A study of asymmetrically loaded griffith crack in plane anisotropic elastic body’, Eng. Fract. Mech. 11 (1979) 87–93.

    Google Scholar 

  11. Hoenig, A., ‘Near tip behaviour of a crack in plane anisotropic elastic body’, Eng. Fract. Mech. 16 (1982) 393–403.

    Google Scholar 

  12. Buczek, M.B. and Herakovich, C.T., ‘A normal stress criterion for crack extension direction in orthotropic materials’, J. Comp. Mat. 19 (1985) 544–553.

    Google Scholar 

  13. Saouma, V., Ayari, M.L. and Leavell, D., ‘Mixed mode crack propagation in homogeneous anisotropic solids’, Eng. Fract. Mech. 27(2) (1987) 171–184.

    Google Scholar 

  14. Eftis, J., Subramonian, N. and Liebowitz, H., ‘Crack border stress and displacement equations revisited’, Eng. Fract. Mech. 9 (1977) 189–220.

    Google Scholar 

  15. Eftis, J. and Subramonian, N., ‘The inclined crack under biaxial load’, Eng. Fract. Mech. 10 (1978) 43–67.

    Google Scholar 

  16. Eftis, J. and Jones, D.L., ‘Influence of load biaxiality on the fracture load of centre cracked sheets’, Int. J. Fract. 20 (1982) 267–289.

    Google Scholar 

  17. Maiti, S.K. and Smith, R.A., ‘Criteria for brittle fracture in biaxial tension’, Eng. Fract. Mech. 19 (1984) 793–804.

    Google Scholar 

  18. Lim, W.K., Choi, S.Y. and Sankar, B.V., ‘Biaxial load effects on crack extension in anisotropic solids’, Eng. Fract. Mech. 68 (2001) 403–416.

    Google Scholar 

  19. Piva, A. and Viola, E., ‘Crack propagation in an orthotropic medium’, Eng. Fract. Mech. 29 (1988) 535–548.

    Google Scholar 

  20. Viola, E., Piva, A. and Radi, E., ‘Crack propagation in an orthotropic medium under general loading’, Eng. Fract. Mech. 34 (1989) 1155–1174.

    Google Scholar 

  21. Erdogan, F. and Sih, G.C., ‘On the crack extension in plates under plane loading and transverse shear’, J. Bas. Eng. 85 (1963) 519–527.

    Google Scholar 

  22. Arcisz, M. and Sih, G.C., ‘Effect of orthotropy on crack propagation’, Theor. Appl. Fract. Mech. 1(3) (1984) 225–238.

    Google Scholar 

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Correspondence to Erasmo Viola.

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Carloni, C., Piva, A. & Viola, E. Biaxial Load Effect on Crack Initiation for Orthotropic Materials. Meccanica 39, 331–344 (2004). https://doi.org/10.1023/B:MECC.0000029363.67419.80

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  • DOI: https://doi.org/10.1023/B:MECC.0000029363.67419.80

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