On axisymmetrical contact problem of pressure of a rigid sphere into a periodically two-layered semi-space

International Journal of Mechanical Sciences - Tập 49 - Trang 704-711 - 2007
R. Kulchytsky-Zhyhailo1, W. Kolodziejczyk1
1Faculty of Mechanical Engineering, University of Technology, Wiejska Street 45C, 15 351 Bialystok, Poland

Tài liệu tham khảo

Shtaerman, 1949 Rvachev, 1977 Galin, 1980 Gladwell, 1980 Johnson, 1985 Mossakowskii, 1985 Fabrikant, 1991 Raous, 1995 Chen, 1972, Impact and contact stress analysis in multilayer media, International Journal of Solids and Structures, 8, 1257, 10.1016/0020-7683(72)90079-0 Gupta, 1974, Contact stress between an elastic cylinder and layered elastic solid, ASME Journal of Lubrication Technology, 96, 250, 10.1115/1.3451940 Vorovich, 1974 O’Sulliwan, 1988, Sliding contact stress field due to a spherical indenter on a layered elastic half-space, ASME Journal of Tribology, 110, 235, 10.1115/1.3261591 Makushkin, 1990, Stress–strain state of elastic layer in contact with spherical indentor (I), Soviet Journal for Frictional Wear, 11, 423 Elsharkawy, 1993, A numerical solution for dry sliding line contact of multilayered elastic solids, ASME Journal of Tribology, 115, 237, 10.1115/1.2920997 Zheng, 1996, Multi-layer and composite structures for advanced coatings, Surface Coating Technology, 81, 52, 10.1016/0257-8972(95)02618-5 Elsharkawy, 1999, Effect of friction on subsurface stresses in sliding line contact of multilayered elastic solids, International Journal of Solids and Structures, 36, 3903, 10.1016/S0020-7683(98)00180-2 Schwarzer, 2000, Coating design due to analytical modelling of mechanical contact problems of multilayer systems, Surface Coating Technology, 133–134, 397, 10.1016/S0257-8972(00)00894-X Bensoussan, 1978 Sanchez-Palencia, 1980 Bakhvalov, 1984 Achenbach, 1975 Christensen, 1980 Guz, 1982 Matysiak, 1986, On the modelling of heat conduction problem in laminated bodies, Acta Mechanica, 65, 223, 10.1007/BF01176884 Woźniak, 1987, A nonstandard method of modelling of thermoelastic periodic composites, International Journal of Engineering Science, 5, 483, 10.1016/0020-7225(87)90102-9 Woźniak CZ, Woźniak M. Modelling of composites. Theory and applications. IFTR Reports, Warsaw, 1995 [in Polish]. Kaczyński, 1988, Plane contact problems for a periodic two-layered elastic composite, Ingenieur-Archiv, 58, 137, 10.1007/BF00536233 Kaczyński, 1993, Rigid sliding punch on a periodic two-layered elastic half-space, Journal of Theoretical and Applied Mechanics, 31, 295 Kaczyński, 2001, On 3D punch problems for a periodic two-layered elastic half-space, Journal of Theoretical and Applied Mechanics, 39, 523 Matysiak, 1995, Plane contact problem for periodic laminated composite involving frictional heating, Archive of Applied Mechanics, 66, 82, 10.1007/BF00786691 Kulchytsky-Zhyhailo, 1995, On three-dimensional problems of multilayered periodic elastic composites, Journal of Theoretical and Applied Mechanics, 33, 771 Kulchytsky-Zhyhailo, 2005, On heat conduction problem in a semi-infinite periodically laminated layer, International Communications in Heat and Mass Transfer, 32, 123, 10.1016/j.icheatmasstransfer.2004.08.023 Kulchytsky-Zhyhailo, 2005, On some heat conduction problem in a periodically two-layered body. Comparative results, International Communications in Heat and Mass Transfer, 32, 332, 10.1016/j.icheatmasstransfer.2004.05.014 Kulchytsky-Zhyhailo, 2004, A bi-dimensional contact problem of the theory of elasticity relating to indentation of the die into an elastic laminated semi-space, Friction Wear, 25, 125 Kaczyński, 1994, Three-dimensional thermoelastic problems of interface cracks in periodic two-layered composites, Engineering Fracture Mechanics, 48, 783, 10.1016/0013-7944(94)90186-4 Matysiak, 1989, Thermal stress in a periodic two-layered composite weakened by an interface crack, Acta Mechanica, 78, 95, 10.1007/BF01174003 Elliot, 1948, Three-dimensional stress distributions in hexagonal aeolotropic crystals, Cambridge Philosophical Society Proceedings, 44, 522, 10.1017/S0305004100024531 Elliot, 1949, Axial symmetric stress distributions in aeolotropic hexagonal crystals. The problem of the plane and related problems, Cambridge Philosophical Society Proceedings, 45, 621, 10.1017/S0305004100025305 Ufljand, 1956, Osesimmetričnaja kontaktnaja zadača dlja poluprostranstva s krugowoj linijej razdela graničnych uslovij, DAN SSSR, 4, 531 Kulchytsky-Zhyhailo, 2001, A simplified solution for three-dimensional contact problems with heat generation, International Journal of Engineering Science, 39, 303, 10.1016/S0020-7225(00)00041-0