Simulation of the Effect of Sub-Micron Interface Roughness on the Stress Distribution in Functionally Graded Thermal Barrier Coatings

Authors

1 Department of Materials and metallurgical Engineering, Iran University of Science and Technology (IUST), Tehran, Iran

2 Metallic materials research center, Malek Ashtar University of Technology, Tehran, Iran

Abstract

In this research, a numerical modeling method was utilized to calculate the stresses occurring during 
the thermal cycling in a functionally graded thermal barrier coating (FG - TBC). The temperature –dependent material response of this protective material was taken into account and the effects of the thermal cycle and interface morphology of the ceramic /metallic layer in a functionally graded coating system was investigated. Sinusoidal mode of asperity with specific wavelength and amplitude was used to model the two dimensional geometry of interface profile between layers. A finite element model was used to model the effect of the thermal loading imposed on the thermo-mechanical response and stress distribution. In this regard, different observable facts were taken into account in the model such as: non- homogenous temperature distribution, periodic boundary condition and convective heat transfer.  These phenomena depict the most real world situation in numerical simulation of multi-layer coating during cooling and thermal cycling, specifically near the ceramic/metal interface. In addition, regions which are potent to crack initiation and propagation in the system and the subsequent delamination places of the TBCs system were predicted. 

Keywords

Main Subjects


Open Access

This is an open access article under the CC BY license (https://creativecommons.org/licenses/by/4.0/).

1. Vaßen, R., Ophelia Jarligo, M., Steinke, T., Emil Mack, D. and Stöver, D., "Overview on advanced thermal barrier coatings", Surface and Coatings Technology, Vol. 205, No. 4, (2010), 938-942. 
2. Wang, L., Wang Y.,  Zhang, W.Q., Sun, X.G.,   He, J.Q.,  Pan, Z.Y. and  Wang, C.H.,  "Finite element simulation of stress distribution and development in 8YSZ and double-ceramiclayer La2Zr2O7/8YSZ thermal barrier coatings during thermal shock", Applied Surface Science, Vol. 258, (2012), 3540-3551. 
3. Naga, S.M.,  "21 – Ceramic matrix composite thermal barrier coatings for turbine parts", Advanced in Ceramic Matrix Composites, Vol. 3, (2014), 524-536. 
4. Ranjbar-far, M., Absi, J., Mariaux, G. and Smith, D.S., "Crack propagation modeling on the interfaces of thermal barrier coating system with different thickness of the oxide layer and different interface morphologies", Materials and Design, Vol.32, No. 10, (2011), 4961-4969. 
5. Ranjbar-Far, M., Absi, J., Shahidi, S. and Mariaux, G., " Impact of the non-homogenous temperature distribution and the coatings process modeling on the thermal barrier coatings system", Materials and Design, Vol. 32, No. 2, (2011), 728735.
6. Białas, M., " Finite element analysis of stress distribution in thermal barrier coatings", Surface and Coating Technology, Vol. 202, (2008), 6002–6010. 
7. Bengtsson, P. and Persson, C.,  "Modeled and measured residual stresses in plasma sprayed thermal barrier coatings", Surface and coating technology, Vol. 92, (1997), 78-86.  
8. Ranjbar-Far, M., Absi, J., Mariaux, G. and Dubois, F., "Simulation of the effect of material properties and interface roughness on the stress distribution in thermal barrier coatings using finite element method", Materials and Design, Vol. 31, (2010), 772-781. 
9. Widjaja, S., Limarga, A.M. and Hon Yip, T.,  "Modeling of residual stresses in a plasma-sprayed zirconia/alumina functionally graded-thermal barrier coating", Thin Solid Films, Vol. 434, (2003), 216-227. 
10. Widjaja, S., Limarga, A.M. and Hon Yip, T., "Oxidation behavior of a plasma-sprayed functionally graded ZrO2/Al2O3 thermal barrier coating", Materials Letters, Vol. 57, (2002), 627-634. 
11. obczak, J. and Ludmil Drenchev, J., "Metallic Functionally Graded Materials: A Specific Class of Advanced Composites", Journal of Materials Science and Technology, Vol. 29, No. 4, (2013), 297-316. 
12. Kieback, B., Neubrand, A. and Riedel, H., "Processing techniques for functionally graded materials", Materials Science and Engineering, Vol. 362, (2003), 81–105. 
13. Saeedi, B., Sabour, A., Ebadi, A. and Khoddami, A.M., "Influence of the Thermal Barrier Coatings Design on the Oxidation Behavior", Journal of Materials Science and Technology, Vol. 25, No. 4, (2009), 499-507. 
14. Chen, X., Gu, L., Zou, B., Wang, Y. and Cao, X., "New functionally graded thermal barrier coating system based on LaMgAl11O19/YSZ prepared by air plasma spraying", Surface and Coatings Technology, vol. 206, (2012), 2265–2274. 
15. Wang, L., Wang, Y., Sun, X.G., He, J.Q., Pan, Z.Y. and Wang, C.H., "A novel structure design towards extremely low thermal conductivity for thermal barrier coatings – Experimental and mathematical study", Materials and design, Vol. 35, (2012), 505-517.
16. Wang, L., Wang, Y., Sun, X.G., He, J.Q., Pan, Z.Y. and Wang, C.H., " Finite element simulation of residual stress of doubleceramic-layer La2Zr2O7/8YSZ thermal barrier coatings using birth and death element technique", Computational Materials Science, Vol. 53, (2012), 117–127. 
17. Han, M., Zhou, G., Huang, J. and Chen, S.H., "A parametric study of the double-ceramic-layer thermal barrier coatings part I: Optimization design of the ceramic layer thickness ratio based on the finite element analysis of thermal insulation (take LZ 7 C3/8YSZ/NiCoAlY DCL-TBC for an example)", Surface and Coatings Technology, Vol. 236, (2013), 500-509. 
18. Han, M., Zhou, G., Huang, J. and Chen, S., "Optimization selection of the thermal conductivity of the top ceramic layer in the Double-Ceramic-Layer Thermal Barrier Coatings based on the finite element analysis of thermal insulation", Surface and Coatings Technology, Vol. 240, (2014), 320–326. 
19. Han, M., Huang, J. and Chen, S., "A parametric study of the Double-Ceramic-Layer Thermal Barrier Coating Part II: Optimization selection of mechanical parameters of the inside ceramic layer based on the effect on the stress distribution", Surface and Coatings Technology, Vol. 238, (2014), 93-117. 
20. Han, M., Huang, J. and Chen, S., "Behavior and mechanism of the stress buffer effect of the inside ceramic layer to the top ceramic layer in a double-ceramic-layer thermal barrier coating", Ceramics International, Vol. 40, No. 2, (2014), 29012914.