SEM-Guided Finite Element Simulation of Thermal Stresses in Multilayered Suspension Plasma-Sprayed TBCs
Source abstract
Abstract
This study presents novel insights into thermal stress development and crack propagation mechanisms in single- and multilayered suspension plasma-sprayed (SPS) coatings of gadolinium zirconate (GZ) and yttria-stabilized zirconia (YSZ), thermally treated at 1150 °C. By combining image processing with finite element simulation, we pinpointed sites of high-stress concentration in the coatings, leading to specific cracking patterns. Our findings reveal a dynamic shift in the location of stress concentration from intercolumnar gaps to pores near the top coat/thermally grown oxide (TGO) interface with TGO thickening at elevated temperatures, promoting horizontal crack development across the ceramic layers. Significantly, the interface between the ceramic layer and TGO was found to be a critical area, experiencing the highest levels of both normal and shear stresses. These stresses influence failure modes: in double-layer SPS structures, relatively higher shear stresses can result in mode II failure, while in single-layer systems, the predominant normal stresses tend to cause mode I failure. Understanding stress behavior and failure mechanisms is essential for enhancing the durability of thermal barrier coatings (TBCs) in high-temperature applications. Therefore, by controlling the interfaces’ roughness along with improving interfacial toughness, the initiation and propagation of cracks can be delayed along these interfaces. Moreover, efforts to optimize the level of microstructural discontinuities, such as intercolumnar gaps and pores, within the creaming layer and close to the TGO interface should be undertaken to reduce crack formation in the TBC system.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: High-Temperature Coating Behaviors · Advanced ceramic materials synthesis · Nuclear Materials and Properties
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Centre for Manufacturing and Materials, Coventry University, Coventry CV1 5FB, UK
Mechanical Engineering Department, Southern Methodist University, Dallas, TX 75205, USA
Thermal Spray Innovations, 5662 Salzburg, Austria
CN Technical Services Ltd., Wisbech PE13 2XQ, UK
School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK
References (68)
Show source-provided references
1. Gao, W. (2008). Developments in High Temperature Corrosion and Protection of Materials, Woodhead Publishing.10.1533/9781845694258 ↗
2. Thermal-Barrier Coatings for More Efficient Gas-Turbine Engines10.1557/mrs.2012.232 ↗
3. In-Situ Observation of Crack Propagation in Thermally Sprayed Coatings10.1016/j.surfcoat.2010.03.064 ↗
4. Size Effect on Heat Conduction and Associate Thermal Fracture Behavior of Thin Ceramic Plates10.1016/j.tafmec.2021.102951 ↗
5. A Study of the Mechanism of Formation and Numerical Simulations of Crack Patterns in Ceramics Subjected to Thermal Shock10.1016/j.actamat.2012.05.020 ↗
6. Failure Mechanisms Associated with the Thermally Grown Oxide in Plasma-Sprayed Thermal Barrier Coatings10.1016/S1359-6454(00)00171-3 ↗
7. Gok, M.G., and Goller, G. (2019). Methods for Film Synthesis and Coating Procedures, IntechOpen.
8. Phase Stability of Thermal Barrier Coatings Made from 8 Wt.% Yttria Stabilized Zirconia: A Technical Note10.1361/105996303770348474 ↗
9. Investigation on the Thermo-Chemical Reaction Mechanism between Yttria-Stabilized Zirconia (YSZ) and Calcium-Magnesium-Alumino-Silicate (CMAS)10.1007/s11706-015-0275-y ↗
10. Environmental Degradation of Thermal-Barrier Coatings by Molten Deposits10.1557/mrs.2012.230 ↗
11. Thermo-Mechanical Study of the Role of Gd2Zr2O7 (GZ) in Improving Life of YSZ and GZ Double Layered Thermal Barrier Coatings
12. Functional Performance of Gd2Zr2O7/YSZ Multi-Layered Thermal Barrier Coatings Deposited by Suspension Plasma Spray10.1016/j.surfcoat.2016.12.062 ↗
13. Tailored Microstructures of Gadolinium Zirconate/YSZ Multi-Layered Thermal Barrier Coatings Produced by Suspension Plasma Spray: Durability and Erosion Testing10.1016/j.jmatprotec.2018.09.016 ↗
14. Bilayer Suspension Plasma-Sprayed Thermal Barrier Coatings with Enhanced Thermal Cyclic Lifetime: Experiments and Modeling10.1007/s11666-017-0595-9 ↗
15. The Influence of Oxides on the Performance of Advanced Gas Turbines10.1016/j.jeurceramsoc.2007.12.023 ↗
16. Amer, M., Curry, N., Hayat, Q., Sharma, R., Janik, V., Zhang, X., Nottingham, J., and Bai, M. (2023). Cracking Behavior of Gd2Zr2O7/YSZ Multi-Layered Thermal Barrier Coatings Deposited by Suspension Plasma Spray. Coatings, 13.10.3390/coatings13010107 ↗
17. The Failure Behavior Analysis Based on Finite Element Simulation of PS-PVD (Gd0.9Yb0.1)2Zr2O7/YSZ Coatings during Burner Rig Tests10.1016/j.matdes.2023.112013 ↗
18. Effect of TGO Thickness, Pores, and Creep on the Developed Residual Stresses in Thermal Barrier Coatings under Cyclic Loading Using SEM Image-Based Finite Element Model10.1016/j.ceramint.2021.03.336 ↗
19. Interfacial Delamination of Porous Thermal Barrier Coatings Based on SEM Image Processing in Finite Element Model10.1016/j.tafmec.2023.103915 ↗
20. Spallation of Thermal Barrier Coatings with Real Thermally Grown Oxide Morphology under Thermal Stress10.1016/j.matdes.2018.03.019 ↗
21. Effect of Five Kinds of Pores Shape on Thermal Stress Properties of Thermal Barrier Coatings by Finite Element Method10.1016/j.ceramint.2017.04.139 ↗
22. The Influence of Temperature Gradient across YSZ on Thermal Cyclic Lifetime of Plasma-Sprayed Thermal Barrier Coatings10.1016/j.ceramint.2015.05.049 ↗
23. The Effect of Morphology of Thermally Grown Oxide on the Stress Field in a Turbine Blade with Thermal Barrier Coatings10.1016/j.surfcoat.2015.06.061 ↗
24. Behavior of Thermal Barrier Coatings for Advanced Gas Turbine Blades10.1016/0257-8972(87)90004-1 ↗
25. Modelling of TBC System Failure: Stress Distribution as a Function of TGO Thickness and Thermal Expansion Mismatch10.1016/j.engfailanal.2004.12.027 ↗
26. Simulation of the Effect of Material Properties and Interface Roughness on the Stress Distribution in Thermal Barrier Coatings Using Finite Element Method10.1016/j.matdes.2009.08.005 ↗
27. Computational Investigation of Porosity Effects on Fracture Behavior of Thermal Barrier Coatings10.1016/j.ceramint.2019.07.031 ↗
28. Numerical Investigation into the Effect of Splats and Pores on the Thermal Fracture of Air Plasma-Sprayed Thermal Barrier Coatings10.1007/s11666-019-00949-y ↗
29. Thermo-Mechanical Stress Analysis of Thermal Barrier Coating System Considering Thickness and Roughness Effects10.1016/j.surfcoat.2012.02.019 ↗
30. A Novel Low-Thermal-Conductivity Plasma-Sprayed Thermal Barrier Coating Controlled by Large Pores10.1016/j.surfcoat.2015.11.022 ↗
31. Influence of Embedded MoSi2 Particles on the High Temperature Thermal Conductivity of SPS Produced Yttria-Stabilised Zirconia Model Thermal Barrier Coatings10.1016/j.surfcoat.2016.07.113 ↗
32. Finite Element Analysis of the Effect of Thermal Cycles and Ageing on the Interface Delamination of Plasma Sprayed Thermal Barrier Coatings10.1016/j.surfcoat.2019.06.093 ↗
33. Mechanical Analysis and Modeling of Porous Thermal Barrier Coatings10.1016/j.apsusc.2020.145706 ↗
34. Stress Analysis of Thermal Barrier Coating System Subjected to Out-of-Phase Thermo-Mechanical Loadings Considering Roughness and Porosity Effect10.1016/j.surfcoat.2014.12.016 ↗
35. Relationship between the Mechanical Properties and Structure of a Suspension Plasma-Sprayed Thermal Barrier Coating with Columnar Microstructure10.1016/j.surfcoat.2022.128430 ↗
36. Simulation of Failure of Air Plasma Sprayed Thermal Barrier Coating Due to Interfacial and Bulk Cracks Using Surface-Based Cohesive Interaction and Extended Finite Element Method10.1177/0309324715615746 ↗
37. Solomon, C., and Breckon, T. (2011). Fundamentals of Digital Image Processing: A Practical Approach with Examples in Matlab, John Wiley & Sons.10.1002/9780470689776 ↗
38. A Threshold Selection Method from Gray-Level Histograms10.1109/TSMC.1979.4310076 ↗
39. (2023, November 01). Inkscape Draw Freely. Available online: https://inkscape.org/.
40. Analysis of Crack Initiation and Propagation in Thermal Barrier Coatings Using SEM-Based Geometrical Model with Extended Finite Element Method10.1016/j.ceramint.2021.08.215 ↗
41. A Guide to Finite Element Simulations of Thermal Barrier Coatings10.1007/s11666-017-0592-z ↗
42. Zhang, L., Wang, Y., Fan, W., Gao, Y., Sun, Y., and Bai, Y. (2020). A Simulation Study on the Crack Propagation Behavior of Nanostructured Thermal Barrier Coatings with Tailored Microstructure. Coatings, 10.10.3390/coatings10080722 ↗
43. Thermal Cycling Behaviour of Plasma Sprayed NiCr-Al-Co-Y2O3 Bond Coat in Thermal Barrier Coating System10.2298/TSCI180302374V ↗
44. Hosford, W.F. (2010). Mechanical Behavior of Materials, Cambridge University Press.10.1017/CBO9780511810923 ↗
45. Finite Element Modeling of the Different Failure Mechanisms of a Plasma Sprayed Thermal Barrier Coatings System10.1007/s11666-012-9814-6 ↗
46. Interface Stress Evolution Considering the Combined Creep–Plastic Behavior in Thermal Barrier Coatings10.1016/j.matdes.2015.09.146 ↗
47. A Parametric Study of the Stress State of Thermal Barrier Coatings: Part I: Creep Relaxation
48. (2023, November 07). Haynes International HASTELLOY® X Alloy Principal Features. Available online: https://haynesintl.com/docs/default-source/pdfs/new-alloy-brochures/high-temperature-alloys/brochures/x-brochure.pdf?sfvrsn=15b829d4_40.
49. Coupled Effects of Temperature Gradient and Oxidation on Thermal Stress in Thermal Barrier Coating System10.1016/S0020-7683(00)00309-7 ↗
50. Thermal/Residual Stress in an Electron Beam Physical Vapor Deposited Thermal Barrier Coating System10.1016/S1359-6454(98)00230-4 ↗
51. Thermophysical Properties of Thermal Barrier Coatings10.1016/S0257-8972(99)00339-4 ↗
52. Thermophysical Properties of Yb2O3 Doped Gd2Zr2O7 and Thermal Cycling Durability of (Gd0.9Yb0.1)2Zr2O7/YSZ Thermal Barrier Coatings10.1016/j.jeurceramsoc.2013.11.035 ↗
53. The Stress Distribution around Holes in Thermal Barrier Coatings10.1016/j.msea.2004.03.062 ↗
54. The Stresses and Distortions Caused by Formation of a Thermally Grown Alumina: Comparison between Measurements and Simulations10.1016/j.actamat.2004.02.004 ↗
55. Effect of Residual Stress on the Spallation of the Thermally-Grown Oxide Formed on NiCoCrAlY Coating10.1016/j.surfcoat.2019.125112 ↗
56. Thermal Cycling of EB-PVD/MCrAlY Thermal Barrier Coatings: II. Evolution of Photo-Stimulated Luminescence10.1016/S0257-8972(01)01480-3 ↗
57. Removal and Repair Techniques for Thermal Barrier Coatings: A Review10.1080/00202967.2020.1750204 ↗
58. Effect of TGO Thickness on Thermal Cyclic Lifetime and Failure Mode of Plasma-sprayed TBC S10.1111/jace.12868 ↗
59. Performance of Single YSZ, Gd2Zr2O7 and Double-Layered YSZ/Gd2Zr2O7 Thermal Barrier Coatings in Isothermal Oxidation Test Conditions10.1016/j.vacuum.2020.109401 ↗
60. Influence of Topcoat-Bondcoat Interface Roughness on Stresses and Lifetime in Thermal Barrier Coatings10.1007/s11666-013-0022-9 ↗
61. Isothermal Oxidation and TGO Growth Behavior of NiCoCrAlY-YSZ Thermal Barrier Coatings on a Ni-Based Superalloy10.1016/j.jallcom.2020.156093 ↗
62. Song, Y., Wu, W., Xie, F., Liu, Y., and Wang, T. (2017). A Theoretical Model for Predicting Residual Stress Generation in Fabrication Process of Double-Ceramic-Layer Thermal Barrier Coating System. PLoS ONE, 12.10.1371/journal.pone.0169738 ↗
63. Progress Update on Extending the Durability of Air Plasma Sprayed Thermal Barrier Coatings10.1016/j.ceramint.2022.04.044 ↗
64. Amer, M., Curry, N., Arshad, M., Hayat, Q., Janik, V., Nottingham, J., and Bai, M. (2023). Unraveling the Cracking Mechanisms of Air Plasma-Sprayed Thermal Barrier Coatings: An In-Situ SEM Investigation. Coatings, 13.10.3390/coatings13091493 ↗
65. Effect of Vacuum Heat Treatment on the Oxidation Kinetics of Freestanding Nanostructured NiCoCrAlY Coatings Deposited by High-Velocity Oxy-Fuel Spraying10.1116/1.5132416 ↗
66. Ghadami, F., Davoudabadi, M.A., and Ghadami, S. (2022). Cyclic Oxidation Properties of the Nanocrystalline AlCrFeCoNi High-Entropy Alloy Coatings Applied by the Atmospheric Plasma Spraying Technique. Coatings, 12.10.20944/preprints202202.0252.v1 ↗
67. Effect of Environmental Pressure on the Microstructure of YSZ Thermal Barrier Coating via Suspension Plasma Spraying10.1016/j.jeurceramsoc.2020.08.022 ↗
68. Microstructure and Properties of Nanostructured YSZ Coating Prepared by Suspension Plasma Spraying at Low Pressure10.1016/j.surfcoat.2014.11.010 ↗