nach oben

Acta Mechanica

Erschienen in:

21.12.2019 | Original Paper

On the quasi-stationary problem of heat conduction for a homogeneous half-space with composite coating

verfasst von: Roman Kulchytsky-Zhyhailo, Stanisław J. Matysiak, Dariusz M. Perkowski

Erschienen in: Acta Mechanica | Ausgabe 3/2020

Einloggen, um Zugang zu erhalten

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

The quasi-stationary problem of heat conduction for a homogeneous half-space and composite layer being a coating is considered in the paper. Heat fluxes distributed in a strip and moving on the boundary plane of the considered body with a constant velocity are taken into consideration. The composite layer being the coating is assumed to be composed of four repeated periodical beams with rectangular cross sections. The homogenized model with microlocal parameters is used for the description of the composite layer. Some special cases of an influence of composite components and their locations on the temperature field are analysed.

Vorheriger Artikel On a planar theory of a discrete nonlinearly elastic rod

Sant, C., Daia, M.B., Aubert, P., Labdi, S., Houdy, P.: Interface effect on tribological properties of titanium–titanium nitride nanolaminated structures. Surf. Coat. Technol. 127, 167–173 (2000). https://doi.org/10.1016/S0257-8972(00)00663-0 CrossRef

Lackner, J.M., Major, L., Kot, M.: Microscale interpretation of tribological phenomena in Ti/TiN soft-hard multilayer coatings on soft austenite steel substrates. Bull. Polish Acad. Sci. Tech. Sci. 59, 343–355 (2011). https://doi.org/10.2478/v10175-011-0042-x CrossRef

Tekaya, A., Benameur, T., Labdi, S., Aubert, P.: Effect of Ti/TiN multilayer protective nanocoatings on Zr-based metallic glasses mechanical performance. Thin Solid Films 593, 215–221 (2013). https://doi.org/10.1016/j.tsf.2013.05.049 CrossRef

Grigoriev, S.N., Vereshchaka, A.A.: Methodology of formation of multi-layered coatings for carbide cutting tools. Mech. Ind. 17, 706–720 (2016). https://doi.org/10.1051/meca/2016065 CrossRef

Xu, Y.X., Chen, L., Pei, F., Du, Y.: Structure and thermal properties of TiAlN/CrN multilayered coatings with various modulation ratios. Surf. Coat. Technol. 704, 512–518 (2016). https://doi.org/10.1016/j.surfcoat.2016.07.055 CrossRef

Panagopoulos, G.N., Georgiou, E.P., Tsoutsouva, M.G., Krompa, M.: Composite multilayered coatings on mild steel. J. Coat. Technol. Res. 8, 125–133 (2011). https://doi.org/10.1007/s11998-010-9278-x CrossRef

Zeng, X.T., Zhang, S., Tan, L.S.: Multilayered (Ti, Al) ceramic coating for high-speed machining applications. J. Vac. Sci. Technol. A Vac. Surf. Film (2001). https://doi.org/10.1116/1.1342868 CrossRef

Shevchuk, V.A.: Analytical solution of nonstationary heat conduction problem for a half-space with a multilayer coating. J. Eng. Phys. Thermophys. 86, 450–459 (2013). https://doi.org/10.1007/s10891-013-0854-7 CrossRef

Matysiak, S., Perkowski, D.M.: On heat conduction problems in a composite half-space with a nonhomogeneous coating. Heat Transf. Res. 47, 1141–1155 (2016). https://doi.org/10.1615/HeatTransRes.2016013425 CrossRef

10.

Kulchytsky-Zhyhailo, R., Matysiak, S.J., Perkowski, D.M.: On thermal analysis of periodic composite coatings for a homogeneous conductive layer. Int. Commun. Heat Mass Transf. 91, 210–215 (2018). https://doi.org/10.1016/j.icheatmasstransfer.2017.12.015 CrossRef

11.

Matysiak, S.J.: On certain problems of heat conduction in periodic composites. ZAMM 71, 524–528 (1991). https://doi.org/10.1002/zamm.19910711218 MathSciNetCrossRef

12.

Matysiak, S.J., Ukhanska, O.M.: On two-dimensional heat conduction problem of a periodic stratified convective half-space with a moving heat source. Int. Commun. Heat Mass Transf. 24, 129–138 (1997). https://doi.org/10.1016/S0735-1933(96)00112-1 CrossRef

13.

Kulchytsky-Zhyhailo, R., Matysiak, S.J.: On heat conduction problem in a semi-infinite periodically laminated layer. Int. Commun. Heat Mass Transf. 32, 123–132 (2005). https://doi.org/10.1016/j.icheatmasstransfer.2004.08.023 CrossRef

14.

Kulczycki-Zyhajło, R., Matysiak, S.J.: On some heat conduction problem in a periodically two-layered body. Int. Commun. Heat Mass Transf. 32, 332–340 (2005). https://doi.org/10.1016/j.icheatmasstransfer.2004.05.014 CrossRef

15.

Kulchytsky-Zhyhailo, R., Matysiak, S.J.: On temperature distributions in a semi-infinite periodically stratified layer. Bull. Polish Acad. Sci. Tech. Sci. 50, 45–49 (2006)MATH

16.

Gründemann, H.: Homogenization techniques for composite media. In: Sanchez-Palencia, E., Zaoui, A. (eds.)Proceedings, Udine, Italy 1985. Springer, Berlin (1987). IX, 397 pp., DM 73. ISBN 3-540-17616-0 (Lecture Notes in Physics 272). ZAMM J. Appl. Math. Mech./Zeitschrift für Angew. Math. und Mech. (2007). https://doi.org/10.1002/zamm.19880680608 MathSciNet

17.

Auriault J-L., Boutin, C., Geindreau, C.: Homogenization of Coupled Phenomena in Heterogenous Media. ISTE. Wiley, London, UK, ISBN 978-1-84821-161-2 (2009)

18.

Matine, A., Boyard, N., Cartraud, P., Legrain, G., Jarny, Y.: Modeling of thermophysical properties in heterogeneous periodic media according to a multi-scale approach: effective conductivity tensor and edge effects. Int. J. Heat Mass Transf. (2013). https://doi.org/10.1016/j.ijheatmasstransfer.2013.03.036 CrossRef

19.

Matine, A., Boyard, N., Legrain, G., Jarny, Y., Cartraud, P.: Transient heat conduction within periodic heterogeneous media: a space-time homogenization approach. Int. J. Therm. Sci. 92, 217–229 (2015). https://doi.org/10.1016/j.ijthermalsci.2015.01.026 CrossRef

20.

Matysiak, S.J., Woźniak, C.: On the modelling of heat conduction problem in laminated bodies. Acta Mech. 65, 223–238 (1987). https://doi.org/10.1007/BF01176884 CrossRefMATH

21.

Woźniak, C.: A nonstandard method of modelling of thermoelastic periodic composites. Int. J. Eng. Sci. 25, 483–498 (1987). https://doi.org/10.1016/0020-7225(87)90102-9 MathSciNetCrossRefMATH

Titel: On the quasi-stationary problem of heat conduction for a homogeneous half-space with composite coating
verfasst von: Roman Kulchytsky-Zhyhailo
Stanisław J. Matysiak
Dariusz M. Perkowski
Publikationsdatum: 21.12.2019
Verlag: Springer Vienna
Erschienen in: Acta Mechanica / Ausgabe 3/2020
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI: https://doi.org/10.1007/s00707-019-02591-9

Premium Partner

Marktübersichten

Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Weitere Artikel der Ausgabe 3/2020

Numerical simulation of conducting droplet impact on a surface under an electric field

Generalized variational principles for buckling analysis of circular cylinders

Analyticity of solutions to thermoviscoelastic diffusion mixtures problem in higher dimension

Constant electric bias dependence of wave propagation in a rotating piezoelectric crystal

Geometry and charging rate sensitively modulate surface stress-induced stress relaxation within cylindrical silicon anode particles in lithium-ion batteries

Nonlinear modeling, dynamics, and chaos in a large deflection model of a rotor–disk–bearing system under geometric eccentricity and mass unbalance

Premium Partner

Marktübersichten