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Stress distribution in two-layered half-space with periodical structure caused by Hertz pressure

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents analytical solutions for displacements and stresses in an elastic layered half-space with periodic structure in the case of an axi-symmetrical contact problem. The solutions are arrived at employing the Hankel transform. Finally, a comparison is made between the results obtained using the classical theory of elasticity and those obtained within the framework of the homogenized model with microlocal parameters.
Słowa kluczowe
Rocznik
Strony
741--750
Opis fizyczny
Bibliogr. 22 poz., rys.
Twórcy
  • Bialystok University of Technology, Faculty of Mechanical Engineering, Białystok, Poland
  • Bialystok University of Technology, Faculty of Mechanical Engineering, Białystok, Poland
Bibliografia
  • 1. Achenbach J.D., 1975, A Theory of Elasticity with Microstructure for Directionally Reinforced Composites, CISM Courses and Lectures, Springer, New York
  • 2. Bensoussan A., Lions J.L., Papanicolaou G., 1978, Asymptotic Analysis for Periodic Structures, North-Holland, Amsterdam
  • 3. Christensen R.M., 1980, Mechanics of Composite Materials, J. Wiley and Sons
  • 4. Elliot D.A., 1949a, Three-dimensional stress distributions in aeolotropic hexagonal crystals, Cambridge Phil. Society, 44, 522-533
  • 5. Elliot D.A., 1949b, Axial symmetric stress distributions in aeolotropic hexagonal crystals, Cambridge Phil. Society, 45, 621-630
  • 6. Johnson K.L., 1985, Contact Mechanics, Cambridge Univesity Press, Cambridge
  • 7. Kaczyński A., 1994, Three-dimensional thermoelastic problems of interface crack in periodic two-layered composites, Engineering Fracture Mechanics, 48, 783-800
  • 8. Kaczyński A., Matysiak S.J., 1988, Plane contact problems for periodic two-layered elastic composite, Ingenieur-Archiv, 58, 137-147
  • 9. Kaczyński A., Matysiak S.J., 1993, Rigid sliding punch on a periodic two-layered elastic half-space, Journal of Theoretical and Applied Mechanics, 31, 2, 295-306
  • 10. Kaczyński A., Matysiak S.J., 2001, On 3D punch problems for a periodic two-layered elastic half-space, Journal of Theoretical and Applied Mechanics, 39, 3, 523-538
  • 11. Kulchytsky-Zhyhailo R., Kołodziejczyk W., 2004, A bi-dimensional contact problem of the theory of elasticity relating to indentation of the die into an elastic laminated semispace, Friction and Wear, 25, 2, 125-133
  • 12. Kulchytsky-Zhyhailo R., Kołodziejczyk W., 2007, On axisymmetrical contact problem of pressure of a rigid sphere into a periodically two-layered semi-space, International Journal of Mechanical Sciences, 49, 704-711
  • 13. Kulchytsky-Zhyhailo R., Matysiak S.J., 1995, On three-dimensional problems of multilayered periodic elastic composites, Journal of Theoretical and Applied Mechanics, 33, 4, 771-781
  • 14. Kulchytsky-Zhyhailo R., Matysiak S.J., 2005a, On heat conduction problem in a semi-infinite periodically laminated laminated layer, International Communications in Heat and Mass Transfer, 32, 1/2, 123-132
  • 15. Kulchytsky-Zhyhailo R., Matysiak S.J., 2005b, On some heat conduction problem in a periodically two-layered body, International Communications in Heat and Mass Transfer, 32, 332-340
  • 16. Matysiak S.J., Pauk V.J., 1995, Plane contact problem for periodic laminated composite involving frictional heating, Archive of Applied Mechanics, 66, 1/2, 82-89
  • 17. Matysiak S.J., Woźniak C., 1987, Micromorphic effects in modelling of periodic multilayered elastic composites, International Journal of Engineering Science, 25, 549-559
  • 18. Postma G.W., 1995, Wave propagation in a stratified medium, Geophysics, 20, 780-806
  • 19. Sanchez-Palenzia E., 1980, Non-homogeneous media and vibration theory, Lecture Notes in Physics, 27, Springer Verlag
  • 20. Sun C.T., Achenbach J.D., Herrmann G., 1967, Continuum theory for a laminated medium, Trans. ASME, Journal of Applied Mechanics, 467-475
  • 21. Timoshenko S., Goodier J.N., 1951, Theory of Elasticity, McGraw-Hill, New York
  • 22. Woźniak C., 1987, A nonstandard method of modelling thermoelastic composites, International Journal of Engineering Science, 25, 483-499
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-687b22ac-ff71-49d9-8ba5-135d70dba8a7
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