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On plane contact problem of an elastic periodically layered composite with boundary normal to layering

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Języki publikacji
EN
Abstrakty
EN
This paper deals with some plane contact problem of an elastic laminated halfplane with boundary normal to layering. The considered problem is solved within the framework of the homogenized model with microlocal parameters given by Woźniak [6], Matysiak and Woźniak [7]. The body is assumed to be composed of two-layered, periodically repeated laminae. The perfect mechanical bonding between the layers is assumed. Moreover, the boundary condition for normal stresses on boundary normal to layering is approximated by using approach given by Perkowski et al. [8], Matysiak and Perkowski [9]. This approach allows to reduce the described problem to well-known dual integral equations and it can be solved exactly. Thus, the problem is solved by using analytical methods. The results of numerical analyses shown the distribution of contact pressure and stress distributions are presented in the form of figures.
Rocznik
Strony
205--218
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
Bibliografia
  • [1] Fabrikant V.I., Mixed boundary value problem of potential theory and their applications in engineering, Kluwer Acad. Pub., Dordrecht-Boston-London 1991.
  • [2] Galin L.A., Contact problems in the theory of elasticity, (in Russian), Gostekhteorizdat, Moscow 1953.
  • [3] Galin L.A., Contact problems in the theory of elasticity and viscoelasticity, Izd. Science, Moscow 1980 (in Russian).
  • [4] Gladwell G.M.L., Contact problems in the classical theory of elasticity, Sijthoff and Noordhoff, Alphen An den Rijn 1980.
  • [5] Goryacheva I.G., Dobykhin M.N., Contact problems in trybology, Machine-Construction, Moscow 1988 (in Russian).
  • [6] Kaczyński A., Matysiak S.J., Plane Contact Problems for a periodic two-layered elastic composite, Ingenieur-Archiv 1988, 58, 137-147.
  • [7] Kaczyński A., Matysiak S.J., Rigid sliding punch on a periodic two-layered elastic half-space, J. Theor. Appl. Mech. 1993, 31, 2, 295-306.
  • [8] Kaczyński A., Matysiak S.J., On 3D punch problems for a periodic two-layered elastic halfepace, J. Theor. Appl. Mech. 2001, 39, 3, 523-538.
  • [9] Woźniak C., A nonstandard method of modeling of thermoelastic periodic composites, Int. J. Engng. Sci. 1987, 25, 483-499.
  • [10] Woźniak C., Homogenized thermoelasticity with microlocal parameters, Bull. Pol. Ac.: Techn. 1987, 35, 133-143.
  • [11] Woźniak C., On the linearized problems of thermoelasticity with microlocal parameters, Bull. Pol. Ac.: Techn. 1987, 35, 143-153.
  • [12] Matysiak S.J., Woźniak C., Micromorphic effects in a modeling of periodic multilayered elastic composites, Int. J., Engng. Sci. 1987, 25, 549-559.
  • [13] Perkowski D.M., Matysiak S.J., Kulchytsky-Zyhailo R., On contact problem of an elastic laminated half-plane with a boundary normal to layering, Compos. Sci. Technol. 2007, 67, 2683-2690.
  • [14] Matysiak S.J., Perkowski D.M., Singularity of stresses in a periodic laminated semi-space with a boundary normal to the layering, Journal of Theoretical and Applied Mechanics 2007, 45, 2, 325-335.
  • [15] Kulchytsky-Zyhailo R., Matysiak S.J., On three-dimensional problems of multilayered periodic elastic composites, Journal of Theoretical and Applied Mechanics, 1995, 4, 771-781.
  • [16] Sneddon I.N., Mixed boundary value problems in potential theory, North-Holland Publ. Co., Amsterdam 1966.
  • [17] Sneddon I.N., Application of integral transforms in the theory of elasticity, Springer, Wien 1975.
  • [18] Timoshenko G., Goodier N., Theory of elasticity, New York, McGraw-Hill 1934.
  • [19] Kulchytsky-Zhyhailo R., Matysiak S.J., Perkowski D.M., On displacements and stresses in a semi-infinite laminated layer. Comparative results, Meccanica 2006, 42, 117-126.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPC6-0019-0027
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