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Interaction between cracks and rigid lines in an infinite plate

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Interaction between cracks and rigid lines in an infinite plate is investigated in this paper. The rigid lines are assumed in an equilibrium condition and may have some rotation in the deformation process of the adjacent material. After placing some distributed dislocations along the cracks and some distributed body forces along the rigid lines, a system of singular integral equations is obtained. The obtained system of the singular integral equations is reduced to a system of Fredholm integral equations by appropriate substitution of the unknown functions. The regularized integral equations are solved numerically. Stress intensity factors at the crack tips and stress singularity coefficients are investigated in the numerical examples.

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References

  1. Griffith, A. A.: The phenomena of rupture and flow in solids. Proc. R. Soc. London Ser.A 221, 163–198 (1920).

    Google Scholar 

  2. England, A. H.: On stress singularities in linear elasticity. Int. J. Eng. Sci.9, 571–585 (1971).

    Google Scholar 

  3. Hasebe, N.: Stress of a semi-infinite plate with a thin rigid body. Int. J. Eng. Sci.23, 531–539 (1985).

    Google Scholar 

  4. Cheung, Y. K., Chen, Y. Z.: Multiple rigid line problems in an infinite plate. Eng. Fract. Mech.34, 379–391 (1989).

    Google Scholar 

  5. Brussat, T. B., Westermann, R. A.: A Westergaard type stress function for line inclusion problems. Int. J. Solids Struct.11, 665–677 (1975).

    Google Scholar 

  6. Wang, Z. Y., Zhang, H. T., Chou, Y. T.: Characteristics of the elastic field of a rigid line inhomogeneity J. Appl. Mech.52, 818–822 (1985).

    Google Scholar 

  7. Dundurs, J., Markenscoff, X.: A Green's function of anticracks and their interaction with load-induced singularities. J. Appl. Mech.56, 550–555 (1989).

    Google Scholar 

  8. Chen, Y. Z.: Investigation of stress singularity coefficient for a finite plate containing rigid line. Eng. Fract. Mech.40, 17–24 (1991).

    Google Scholar 

  9. Hasebe, N., Keer, L. M., Nemat-Nasser, S.: Stress analysis of a kinked crack initiating from a rigid line inclusion. Part 1. Formulation. Mech. Materials3, 131–145 (1984).

    Google Scholar 

  10. Muskhelishvili, N. I.: Some basic problems of mathematical theory of elasticity. Groningen: Noordhoff 1953.

    Google Scholar 

  11. Chen, Y. Z.: A Fredholm integral equation approach for multiple crack problem in an infinite plate. Eng. Fract. Mech.20, 767–776 (1984).

    Google Scholar 

  12. Kachanov, M.: Elastic solids with many cracks: a simple method of analysis. Int. J. Solids Struct.23, 23–44 (1987).

    Google Scholar 

  13. Panasyuk, V. V., Savruk, M. P., Datsyshyn, A. P.: A general method of solution of two-dimensional problem in the theory of cracks. Eng. Fract. Mech.9, 481–497 (1977).

    Google Scholar 

  14. Savruk, M. P.: Two-dimensional problems of elasticity for body with cracks. Kiev: Science Press 1981.

    Google Scholar 

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Chen, Y.Z. Interaction between cracks and rigid lines in an infinite plate. Acta Mechanica 101, 15–29 (1993). https://doi.org/10.1007/BF01175594

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