Skip to main content
Log in

Thermal stresses in a periodic two-layered composite weakened by an interface crack

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

This paper deals with the two-dimensional thermoelastic problem of interface thermally insulated crack in a microperiodic layered space. Within the framework of the homogenized model of the linear thermoelasticity with microlocal parameters [10]–[13] the exact solution of the considered problem is obtained by using the complex potentials method [13]. The stress singularities at the crack tips are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Brown, E. J., Erdogan, F.: Thermal stresses in bonded materials containing cuts on the interface. Int. J. Engng. Sci.6, No. 9, 517–529 (1968).

    Google Scholar 

  2. Gajvas, I. V.: On thermoelastic stresses near a crack in a nonhomogeneous elastic body. (in Russian). Thermal Stresses in Structures9, 88–99 (1970).

    Google Scholar 

  3. Backman, G. L., Prusov, I. A.: On strength of a heated isotropic sectionally-homogeneous plane weakened by cracks. Izv. AN SSSR, Mech. of Solids6, 146–148 (1976).

    Google Scholar 

  4. Atkinson, C.: On stress singularities and interfaces in linear elastic fracture mechanics. Int. J. Fracture13, No. 6, 807–820 (1977).

    Google Scholar 

  5. Kit, G. S., Krivchyk, M. G.: Plane thermoelastic problems of bodies with cracks. (in Russian) Kiev: Naukova Dumka 1983.

    Google Scholar 

  6. Sacknenko, A. M., Ckyckno, A. A., Biereznickij, L. T.: On effects of the thermal stresses in plane with cracks along an interface line. (in Russian) In: Construction polymers in low temperatures. pp. 47–52, Jakuck 1976.

  7. Ioakimidis, N. I., Theocaris, I. A.: A curvilinear crack along the interface of two plane isotropic elastic media. Rev. Roum. Sci. Techn. Sér. Méc. Appl.23, No. 4, 563–575, (1978).

    Google Scholar 

  8. Mak, A. E., Keer, L. M., Chen, S. H., et al: A no-slip interface crack. Trans. ASME, J. Appl. Mech.47, No. 2, 347–350 (1980).

    Google Scholar 

  9. Williams, H. E.: Asymptotic analysis of the thermal stresses in a two-layer composite with an adhesive layer. J. of Thermal Stresses8, No. 2, 183–203 (1985).

    Google Scholar 

  10. Woźniak, Cz.: A nonstandard method of modelling of thermoelastic periodic composites. Int. J. Engng. Sci.25, No. 5, 483–499 (1987).

    Google Scholar 

  11. Woźniak, Cz.: Homogenized thermoelasticity with microlocal parameters. Bull. Pol. Ac.: Techn.35, 3–5, 133–143 (1987).

    Google Scholar 

  12. Woźniak, Cz.: On the linearized problems of thermoelasticity with microlocal parameters. Bull. Pol. Ac.: Techn.35, 3–5, 143–153 (1987).

    Google Scholar 

  13. Kaczyński, A., Matysiak, S. J.: On the complex potentials of the linear thermoelasticity with microlocal parameters. Acta Mechanica72, 245–259 (1988).

    Google Scholar 

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

    Google Scholar 

  15. Matysiak, S. J., Woźniak, Cz.: Micromorphic effects in a modelling of periodic multilayered elastic composites, Int. J. Engng. Sci.25, No. 5, 549–559 (1987).

    Google Scholar 

  16. Nowacki, W.: Thermoelasticity. Warszawa, Oxford: Polish Scientific Publ. and Pergamon Press 1986.

    Google Scholar 

  17. Matysiak, S. J., Woźniak, Cz.: On the modelling of thermoelastic periodic composites, will be published in Journal of Technical Physics,1 (1988), to appear.

  18. Muskhelishvili, N. I.: Some fundamental problems of the elasticity theory. Moscow: AN SSSR 1949, (in Russian).

    Google Scholar 

  19. Sih, G. C., Chen, E. P.: Cracks in composite materials. In: Mechanics of fracture6, pp. 15–81. Hague: Martinus Nijhoff 1981.

    Google Scholar 

  20. Kassir, M. K., Sih, G. C. In: Mechanics of Fracture 2 (Sih, G. C., ed.), pp. 177–217. Leyden: Noordhoff Intern. Publ. 1975.

    Google Scholar 

  21. Paris, P., Sih, G. C.: On analysis of stress distributions near cracks (in Russian). In: Applied problems of fracture. Moscow: Mir 1968.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 1 Figure

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matysiak, S.J. Thermal stresses in a periodic two-layered composite weakened by an interface crack. Acta Mechanica 78, 95–108 (1989). https://doi.org/10.1007/BF01174003

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01174003

Keywords

Navigation