Numerical Simulation of Stress in Conventional and Functionally Graded Thermal Barrier Coating YSZ/ NiCrAlY and Comparison with Results of the Nano-Indentation Stress Measurement Method

Document Type : Research Article

Authors

1 PhD Iran university of science & Technology Assistant Prof., Young Researchers and Elite Club-Tehran East Branch- Islamic Azad University, Tehran, Iran

2 Assistant Prof., Faculty of Electrical- Mechanical and Construction Engineering-Automative Engineering – Standard Research Institute, Karaj, Iran

3 Assistant Prof., School of Engineering- Tehran East Branch- Islamic Azad University, Tehran, Iran

4 Materials and Energy Research Center

Abstract

Thermal barrier coatings (TBCs) are one of the most conventionally- used protective materials which are employed as insulation media to save underlying metallic substrate from harmful effects at high temperature services In this study, a finite element-based numerical method was developed to simulate stress distribution in conventional and functionally graded thermal barrier coatings applied on the Hastelloy-x. Comparisons of simulation model results with experimental results of nano-indentation stress measurement method showed good agreement. The results of simulation showed that in samples after thermal shock without oxidation time (without Thermally Grown Oxide layer-TGO), the average value of the maximum stress is 29 MPa in duplex TBC (interface of top coat /boncoat), 3.15 MPa in three-layer FG-TBC system (interface of 50% NiCrAlY - 50% YSZ / YSZ) and 1.8 MPa in five-layer FG-TBC system (interface of 25% NiCrAlY- 75% YSZ / YSZ). Also, the stress distribution is more uniform in five-layer FG-TBC system that helps to increase the performance and extend the life time of thermal barrier system.

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[1]  decnavdA ,aladneM .B dna ,abźdawS .L ,.M ,kyzcńamteH senigne-orea ni sgnitaoc evitcetorp dna slairetam dna slairetaM ni stnemeveihcA fo lanruoJ .noitacilppa .183-273 .p :(1)42 .7002 ,gnireenignE gnirutcafunaM
[2]  Tamarin, Y., Protective coatings for turbine blades. 2002: ASM international.
[3]  Clarke, D.R. and S.R. Phillpot, Thermal barrier coating materials. Materials today, 2005. 8(6): p. 22-29.
[4]    Goswami, B., A.K. Ray, and S. Sahay, Thermal barrier coating system for gas turbine application-A review. High Temperature materials and processes, 2004. 23(2): p. 73-92.
[5]  Smarsly, W. Coatings for advanced aero engine materials. in 8 th HIPIMS Conference. 2009.
[6]  Vaßen, R., et al., Overview on advanced thermal barrier coatings. Surface and Coatings Technology, 2010. 205(4): 938-942.
[7] Hetmańczyk, M., L. Swadźba, and B. Mendala, Advanced materials and protective coatings in aero-engines application. Journal of Achievements in Materials and Manufacturing Engineering, 2007. 24(1): p. 372-381.
[8] Karaoglanli, A., et al., Structure and durability evaluation of YSZ+ Al2O3 composite TBCs with APS and HVOF bond coats under thermal cycling conditions. Surface and Coatings Technology, 2011. 205: p. S369-S.373
[9] Chen, W., et al., TGO growth and crack propagation in a thermal barrier coating. Journal of Thermal Spray Technology, 2008. 17(5-6): p. 858.
[10] Xu, Z.-H. and X. Li, Residual stress determination using nanoindentation technique, in Micro and nano mechanical testing of materials and devices. 2008, Springer. p. 136-150.
[11]  Zhu, L.-N., et al., Measurement of residual stresses using nanoindentation method. Critical Reviews in Solid State and Materials Sciences, 2015. 40(2): p. 77-89.
[12]  Zhu, J., et al., Cross-sectional residual stresses in thermal spray coatings measured by moiré interferometry and nanoindentation technique. Journal of thermal spray technology, 2012. 21(5): p. 810-817.
[13]  Moradi, M. and E. Golchin, Investigation on the effects of process parameters on laser percussion drilling using finite element methodology; statistical modelling and optimization. Latin American Journal of Solids and Structures, 2017. 14(3): p. 464-484.
[14]  Dean, J., G. Aldrich-Smith, and T. Clyne, Use of nanoindentation to measure residual stresses in surface layers. Acta Materialia, 2011. 59(7): p. 2749-2761.
[15] Alaboodi, A.S. and Z. Hussain, Finite element modeling of nano-indentation technique to characterize thin film coatings. Journal of King Saud University-Engineering Sciences, 2019. 31(1): p. 61-69.
[16]  Bäker, M., Finite element simulation of interface cracks in thermal barrier coatings. Computational Materials Science, 2012. 64: p. 79-83.
[17] Li, B., et al., Design of thermal barrier coatings thickness for gas turbine blade based on finite element analysis. Mathematical Problems in Engineering, 2017. 2017.
[18]  Wang, L., et al., Thermal shock behavior of 8YSZ and double-ceramic-layer La2Zr2O7/8YSZ thermal barrier coatings fabricated by atmospheric plasma spraying. Ceramics International, 2012. 38(5): p. 3595-3606.
[19]  Moradi, M., M. Ghoreishi, and A. Rahmani, Numerical and experimental study of geometrical dimensions on laser-TIG hybrid welding of stainless steel 1.4418. Journal of Modern Processes in Manufacturing and Production, 2016. 5(2): p. 21-31.
[20] Qiao, J.-H., et al., A 3D finite-difference model for the effective thermal conductivity of thermal barrier coatings produced by plasma spraying. International Journal of thermal sciences, 2013. 65: p. 120-126.
[21]  Khoddami, A., A. Sabour, and S. Hadavi, Microstructure formation in thermally-sprayed duplex and functionally graded NiCrAlY/Yttria-Stabilized Zirconia coatings. Surface and Coatings Technology, 2007. 201(12): p. 6019-6024.
[22] Watremetz, B., M. Baietto-Dubourg, and A. Lubrecht, 2D thermo-mechanical contact simulations in a functionally graded material: A multigrid-based approach. Tribology international, 2007. 40(5): p. 754-762.
[23]   Zhang, X., et al., Modeling of the residual stresses in plasma-spraying functionally graded ZrO2/NiCoCrAlY coatings using finite element method. Materials & design, 2006. 27(4): p. 308-315.
[24]  Saeedi, B., et al., Influence of the Thermal Barrier Coatings Design on the Oxidation Behavior. Journal of materials science & technology, 2009. 25(4): p. 499.
[25]   Akbarpour, S., H. Motamedian, and A. Abedian. Micromechanical FEM modeling of thermal stresses in functionally graded materials. in 26th International congress of the Aeronautical Sciences. 2008.
[26]  Guo, L., et al., Preparation and hot corrosion behavior of plasma sprayed nanostructured Gd2Zr2O7-LaPO4 thermal barrier coatings. Journal of Alloys and Compounds, 2017. 698: p. 13-19.
[27]  Bäker, M., Influence of material models on the stress state in thermal barrier coating simulations. Surface and Coatings Technology, 2014. 240: p. 301-310.
[28]  Chen, H., et al., Design, preparation, and characterization of graded YSZ/La2Zr2O7 thermal barrier coatings. Journal of the American Ceramic Society, 2010. 93(6): p.1732-1740.
[29]  Haynes International, I., https://www.haynesintl.com.HASTELLOY ® X ALLOY. (1997).
[30] Wang, L., et al., Thermal shock behavior of 8YSZ and double-ceramic-layer La2Zr2O7/8YSZ thermal barrier coatings fabricated by atmospheric plasma spraying. Ceramics International, 2012. 38(5): p. 3595-3606.
[31]  Jiang, Y. and H. Fan, A micromechanics model for predicting the stress–strain relations of filled elastomers. Computational Materials Science, 2013. 67: p. 104-108.
[32] Hosseini-Toudeshky, H., B. Anbarlooie, and J. Kadkhodapour, Micromechanics stress–strain behavior prediction of dual phase steel considering plasticity and grain boundaries debonding. Materials & Design, 2015. 68: p. 167-176.
[33] Langroudi, A.E., A brief review of nanoindentation technique and its applications in hybrid nanocomposite coatings. Int. J. Bio-Inorg. Hybd. Nanomat, 2013. 2(2): p.337-344.
[34]  Liu, Y., Fracture toughness assessment of shales by nanoindentation. 2015.
[35]  Mao, W., et al., Evaluation of microhardness, fracture toughness and residual stress in a thermal barrier coating system: A modified Vickers indentation technique. Surface and Coatings Technology, 2012. 206(21): p. 4455-4461.
[36]  Zhao, X. and P. Xiao, Residual stresses in thermal barrier coatings measured by photoluminescence piezospectroscopy and indentation technique. Surface and Coatings Technology, 2006. 201(3-4): p. 1124-1131.
[37]   Meng, Q., et al., Influence of the residual stress on the nanoindentation-evaluated hardness for zirconiumnitride films. Surface and Coatings Technology, 2012. 206(14): p.3250-3257.
[38]  Mahade, S., et al., Failure analysis of Gd2Zr2O7/ YSZ multi-layered thermal barrier coatings subjected to thermal cyclic fatigue. Journal of Alloys and Compounds, 2016. 689: p. 1011-1019.
[39]  Mohammadi, M., et al., Thermal shock properties and microstructure investigation of LVPS and HVOFCoNiCrAlYSi coatings on the IN738LC superalloy, Vacuum, 2013. 88: p.124-129.
[40]  Moridi, A., M. Azadi, and G. Farrahi. Numerical simulation of thermal barrier coating system under thermo-mechanical loading. in Word Congress on Engineering. 2011.
[41] Johari, A.D. and M.M. Rahman. A review of advance thermal barrier coating architecture. in The 3rd National  Graduate Conference (Nat Grad 2015). Malaysia: Universiti Tenaga Nasional, Putrajaya Campus. 2015.
[42]   Jin, Z.-H. and R. Batra, Some basic fracture mechanics concepts in functionally graded materials. Journal of the Mechanics and Physics of Solids, 1996. 44(8): p. 1221-1235.
[43]  Stathopoulos, V., et al., Design of functionally graded multilayer thermal barrier coatings for gas turbine application. Surface and Coatings Technology, 2016. 295: p. 20-28.
[44] MANUAL, O., Aircraft characteristics airport and maintenance planning. Airbus.
[45]  Afrasiabi, A., M. Saremi, and A. Kobayashi, A comparative study on hot corrosion resistance of three types of thermal barrier coatings: YSZ, YSZ+ Al2O3 and YSZ/Al2O3. Materials Science and Engineering: A, 2008. 478(1-2): p. 264-269.
[46]  Khor, K. and Y. Gu, Thermal properties of plasmasprayed functionally graded thermal barrier coatings. Thin Solid Films, 2000. 372(1-2): p. 104-113.
[47]  Zhu, L.-N., et al., Measurement of residual stresses using nanoindentation method. Critical Reviews in Solid State and Materials Sciences, 2015. 40(2): p. 77-89.
[48]  Marinis, A., et al., Fracture toughness of yttria-stabilized zirconia sintered in conventional and microwave ovens. The Journal of prosthetic dentistry, 2013. 109(3): p. 165-171.
[49]  Baig, M., et al., Properties and residual stress distribution of plasma sprayed magnesia stabilized zirconia thermal barrier coatings. Ceramics International, 2014. 40(3): p. .4853-4868.