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Abstrakty
The technique of integral Hankel transform to find the solution of heat conduction in half-space coated by a multilayered package of homogenous laminae is applied. The half-space is heated by the given heat flux on the boundary surface. The temperature and heat flux distribution in the radial direction is analyzed for two types of coatings: 1) when the heat conductivity coefficient is described by a power or exponential function of the distance to the boundary surface; 2) multilayered coating has a periodic structure.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
147--156
Opis fizyczny
Bibliogr. 24 poz., rys., tab.
Twórcy
autor
- Bialystok University of Technology, Faculty of Mechanical Engineering, Białystok, Poland
autor
- Bialystok University of Technology, Faculty of Mechanical Engineering, Białystok, Poland
autor
- Bialystok University of Technology, Faculty of Mechanical Engineering, Białystok, Poland
Bibliografia
- 1. Abramowitz M., Stegun I.A., 1964, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables, United States Department of Commerce, National Bureau of Standards
- 2. Barik S.P., Kanoria M., Chaudhuri P.K., 2008, Steady state thermoelastic contact problem in a functionally graded material, International Journal of Engineering Science, 46, 775-789
- 3. Choi H.J., Paulino G.H., 2008, Thermoelastic contact mechanics for a flat punch sliding over a graded coating/substrate system with frictional heat generation, Journal of the Mechanics and Physics of Solids, 56, 4, 1673-1692
- 4. Diao D.F., 1999, Finite element analysis on local yield map and critical maximum contact pressure for yielding in hard coating with an interlayer under sliding contact, Tribology International, 32, 25-32
- 5. Diao D.F., Kato K., Hayashi K., 1994, The maximum tensile stress on a hard coating under sliding friction, Tribology International, 27, 4, 267-272
- 6. Farhat Z.N., Ding Y., Northwood D.O., Aplas A.T., 1997, Nanoindentation and friction studies on Ti-based nanolaminated films, Surface and Coatings Technology, 89, 24-30
- 7. Gradshteyn I.S., Ryzhik I.M., 2015, Table of Integrals, Series and Products, Academic Press
- 8. Guler M.A., Erdogan F., 2004, Contact mechanics of graded coatings, International Journal of Solids and Structures, 41, 3865-3889
- 9. Guler M.A., Erdogan F., 2006, Contact mechanics of two deformable elastic solids with graded coatings, Mechanics of Materials, 38, 633-647
- 10. Ke L.-L., Wang Y.-S., 2006, Two-dimensional contact mechanics of functionally graded materials with arbitrary spatial variations of material properties, International Journal of Solids and Structures, 43, 18/19, 5779-5798
- 11. Ke L.-L., Wang Y.-S., 2007, Two-dimensional sliding frictional contact of functionally graded materials, European Journal of Mechanics – A/Solids, 26, 171-188
- 12. Kulchytsky-Zhyhailo R., Bajkowski A., 2012, Analytical and numerical methods of solution of three-dimensional problem of elasticity for functionally graded coated half-space, International Journal of Mechanical Sciences, 54, 105-112
- 13. Kulchytsky-Zhyhailo R., Bajkowski A., 2015, Three-dimensional analytical elasticity solution for loaded functionally graded coated half-space, Mechanics Research Communications, 65, 43-50
- 14. Kulchytsky-Zhyhailo R., Matysiak S.J., 2005, On some heat conduction problem in a periodically two-layered body. Comparative results, International Communications in Heat and Mass Transfer, 32, 3-4, 332-340
- 15. Liu J., Ke L.-L., Wang Y.-S., 2011, Two-dimensional thermoelastic contact problem of functionally graded materials involving frictional heating, International Journal of Solids and Structures, 48, 18, 2536-2548
- 16. Liu J., Ke L.-L., Wang Y.-S., Yang J., Alam F., 2012, Thermoelastic frictional contact of functionally graded materials with arbitrarily varying properties, International Journal of Mechanical Sciences, 63, 1, 86-98
- 17. Liu T.-J., Wang Y.-S., 2008, Axisymmetric frictionless contact problem of a functionally graded coating with exponentially varying modulus, Acta Mechanica, 199, 151-165
- 18. Liu T.-J., Wang Y.-S., 2009, Reissner-Sagoci problem for functionally graded materials with arbitrary spatial variation of material properties, Mechanics Research Communications, 36, 322-329
- 19. Liu T.-J., Wang Y.-S., Zhang C., 2008, Axisymmetric frictionless contact of functionally graded materials, Archive of Applied Mechanics, 78, 267-282
- 20. Matysiak S., Kulchytsky-Zhyhailo R., Perkowski D., 2011, Reissner-Sagoci problem for a homogeneous coating on a functionally graded half-space, Mechanics Research Communications, 38, 4, 320-325
- 21. Matysiak S.J., Woźniak C., 1987, On the modelling of heat conduction problem in laminated bodies, Acta Mechanica, 65, 223-238
- 22. Sneddon I.N., 1966 The Reissner-Sagoci problem, Proceedings of the Glasgow Mathematical Association, 7, 136-144
- 23. Voevodin A.A., Iarve E.V., Ragland W., Zabinski J.S., Donaldson S., 2001, Stress analyses and in-situ fracture observation of wear protective multilayer coatings in contact loading, Surface and Coatings Technology, 148, 38-45
- 24. Woźniak C., 1987, A nonstandard method of modelling of thermoelastic periodic composites, International Journal of Engineering Science, 25, 483-499
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-edb7516a-e1ec-42e2-a416-9a3ba4a6fa37