Skip to main content
Log in

Plane contact problem for periodic laminated composite involving frictional heating

  • Originals
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Summary

The stationary problem of a rigid thermally insulated punch sliding over the boundary surface of a periodic two-layered thermoelastic half-space is considered. The heat generated in the contact area is assumed to be caused by frictional forces. The problem is formulated within the framework of thermoelasticity with microlocal parameters, and it is reduced to a system of two integral equations, which is solved numerically. The effects connected with the composite structure are analyzed.

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. Grylitsky, D. V.; Yevtushenko, A. A.: Contact problems involving frictional heating. Mathematical methods and physical mechanical fields (review). Physicochemical Mechanics of Materials (Ukraine), in press

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

    Google Scholar 

  3. Wozniak, Cz.: Homogenized theromoelasticity with microlocal parameters. Bull. Acad. Pol. Sciences. Ser. Sci. Techn. 35 (1987) 133–143

    Google Scholar 

  4. Wozniak, Cz.: On the linearized problems of thermoelasticity with microlocal parameters. Bull. Acad. Pol. Sciences. Ser. Sci. Techn. 35 (1987) 143–153

    Google Scholar 

  5. Matysiak, S. J.: Thermal stresses in a periodic two-layered composite weakened by a interface crack. Acta Mech. 78 (1989) 95–108

    Google Scholar 

  6. Abramowitz, M.;Stegun, I.: Handbook of mathematical function. Washington, D. C.: National Bureau of Standards 1964

    Google Scholar 

  7. Belocerkovskij, SM.;Lifanov, I. K.: Numerical methods in the singular integral equations. Moscow, Nauka 1985

    Google Scholar 

  8. Pauk, V. J.: Plane contact problem involving heat generation and radiation. J. Theor. Appl. Mech. 32 (1994) 829–839

    Google Scholar 

  9. Barber, J. R.: Some thermoelastic contact problems involving frictional heating. Q. J. Mech. Appl. Math. 29 (1976) 1–13

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Matysiak, S.J., Pauk, V.J. Plane contact problem for periodic laminated composite involving frictional heating. Arch. Appl. Mech. 66, 82–89 (1995). https://doi.org/10.1007/BF00786691

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00786691

Key words

Navigation