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Analysis of stress intensity factors in crack problems of periodic two-layered elastic composites

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Summary

The stress intensity factors in the problem of an interface crack in a periodic two-layered elastic composite subjected to the action of isolated body forces are discussed. The analysis is performed within the framework of the homogenized model with microlocal parameters. The effects of the periodic layered structure of the body on the stress intensity factors are presented.

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References

  1. Woźniak, Cz.: A nonstandard method of modelling of thermoelastic periodic composites. Int. J. Eng. Sci.25, 483–499 (1987).

    Google Scholar 

  2. Matysiak, S. J., Woźniak, Cz.: Micromorphic effects in a modelling of periodic multilayered elastic composites. Int. J. Eng. Sci.25, 549–559 (1987).

    Google Scholar 

  3. Kaczyński, A., Matysiak, S. J.: On crack problems in periodic two-layered elastic composites. Int. J. Fracture37, 31–45 (1988).

    Google Scholar 

  4. Erdogan, F. E.: Fracture problems in composite materials. Eng. Fract. Mech.4, 811–840 (1972).

    Google Scholar 

  5. Panasiuk, V. V., Savruk, M. P., Datzyshin, A. P.: Stress distributions near cracks in plates and shells (in Russian). Kiev: Naukova Dumka 1979.

    Google Scholar 

  6. Loeber, J. F., Sih, G. C.: Green's function for cracks in nonhomogeneous materials. Trans. ASME. Ser. E. J. Appl. Mech.89, 240–243 (1967).

    Google Scholar 

  7. Rice, J. R., Sih, G. C.: Plane problems of cracks in dissimilar media. Trans. ASME. Ser. E. J. Appl. Mech.87, 418–423 (1965).

    Google Scholar 

  8. Sih, G. C., Liebowitz, H.: Mathematical theory of brittle fracture. Chapter 2. In: Fracture, vol. II (Liebowitz, H., ed.), pp. 67–190. New York: Academic Press 1968.

    Google Scholar 

  9. Kaczyński, A., Matysiak, S. J.: Complex potentials in two-dimensional problems of periodically layered elastic composites. Mechanika Teoretyczna i Stosowana25, 635–643 (1987).

    Google Scholar 

  10. Muskhelishvili, N. I.: Some basic problems of the mathematical theory of elasticity, 2nd ed. Groningen: Nordhoff 1963.

    Google Scholar 

  11. Prusov, I. A.: Thermoelastic anisotropic plates (in Russian). Minsk: BGU 1978.

    Google Scholar 

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Author notes

  1. A. Kaczyński

    Present address: Institute of Mathematics, Warsaw University of Technology, Plac Politechniki, 00-661, Warsaw, Poland

  2. S. J. Matysiak

    Present address: Faculty of Geology, Institute of Hydrogeology and Engineering Geology, University of Warsaw, Al. Zwirki i Wigury 93, 02-089, Warsaw, Poland

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    1. A. Kaczyński
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    2. S. J. Matysiak
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    Kaczyński, A., Matysiak, S.J. Analysis of stress intensity factors in crack problems of periodic two-layered elastic composites. Acta Mechanica 110, 95–110 (1995). https://doi.org/10.1007/BF01215418

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    • DOI: https://doi.org/10.1007/BF01215418

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