Inversion Principle and Application of Ultrasonic Detecting Surface or Interface Integrity Parameters of Aviation Functional Coatings

doi:10.3901/JME.2023.08.001

Abstract

Abstract: Accurate control of surface/interface integrity parameters included defect, geometry, structure, and property of thermal barrier coatings, absorbing coatings, and other aviation functional coatings is of great importance to balance their comprehensive performance. A new principle of ultrasonic detecting surface/interface integrity parameters of aviation functional coatings is presented.Based on the response mechanism of ultrasonic propagation in multi-interface coating structure, a material-oriented regularization strategy of characteristic detection signal is proposed, which includes model regularization, data regularization, and sensitivity matrix analysis. A sensitivity matrix based inversion method of ultrasonic detecting surface/interface integrity parameters is developed according to the correlation between characteristic detection signal and surface/interface integrity parameters. Taking the ultrasonic detection of elastic constants of plasma sprayed Al₂O₃ coating as an example, the validity of proposed ultrasonic detection principle is illustrated.Resultsshow that the inversed elastic constants C11, C13, C33, and C44 of Al₂O₃ coating are 158.9 GPa, 44.1 GPa, 244.1GPa, and 31.6 GPa, respectively, and the relative errors between them and the experimental results are less than 4.5 %. The proposed ultrasonic inversion principle provides an effective path for solving the complex ultrasonic non-destructive detecting problems with multiple unknown parameters which are difficult for traditional “trial-and-error” ultrasonic detecting methods.

Key words: coating, surface/interface integrity, ultrasonic detection, parameter inversion, sensitivity matrix

CLC Number:

TQ174

LIN Li, MA Zhi-yuan, SUN Luo-ming, LUO Zhong-bing, LEI Ming-kai. Inversion Principle and Application of Ultrasonic Detecting Surface or Interface Integrity Parameters of Aviation Functional Coatings[J]. Journal of Mechanical Engineering, 2023, 59(8): 1-8.

References

[1] BHAVAR V,KATTIRE P,THAKARE S,et al. A review on functionally gradient materials and their applications[J].Material Science Engineering,2017,229(1):12-21.
[2] MA Zhiyuan,ZHANG Wei,LUO Zhongbing,et al.Thickness determination of dual-layer coatings based on ultrasonic spectral filtering[J]. Insight,2018,60(4):1-6.
[3] PADTURE N P,GELL M,JORDAN E H,et al. Thermal barrier coatings for gas-turbine engine applications[J].Science,2002,296(5566):280-284.
[4] VASSEN R,KAGAWA Y,SUBRAMANIAN R,et al.Testing and evaluation of thermal-barrier coatings[J]. Mrs Bulletin,2012,37(10):911-916.
[5] MESSINEO M G,RUS G,ELICABE G E,et al. Layered material characterization using ultrasonic transmission. an inverse estimation methodology[J]. Ultrasonics,2016,65:315-328.
[6] 宋国荣,吕炎,谭博涛,等.薄板涂层结构镍镀层声学特性检测与弹性常数反演表征方法研究[J].机械工程学报,2014,50(4):11-17.SONG Guorong,LÜYan,TAN Botao,et al. Research on measurements of acoustic characteristics of Nickelcoating plate and inversion method of elastic constants[J]. Journal of Mechanical Engineering,2014,50(4):11-17.
[7] PETER B,GEER S V D. Statistics for high-dimensional data[M]. Berlin:Springer,2011.
[8] 王晨,张彪,曹丽霞,等.颗粒粒径分布测量反演算法的改进[J].光学学报,2019,39(2):214-221.WANG Chen,ZHANG Biao,CAO Lixia,et al. An improved inversion algorithm to measure particle size distribution[J]. Acta Optica Sinica,2019,39(2):214-221.
[9] 王远磊,申晋,王雅静,等.基于正则参数后验策略的PCS迭代正则化反演[J].山东理工大学学报,2010(4):27-31.WANG Yuanlei,SHEN Jin,WANG Yajing,et al. A posterior strategies of the regularization parameter in the inverse algorithm of the photon correlation spectroscopy particle iterative regularization[J]. Journal of Shandong University of Technology,2010(4):27-31.
[10] 李敏锋,伍吉仓.基于矩阵奇异值分解的断层位错模型参数反演[J].大地测量与地球动力学,2008,28(3):67-71.LI Minfeng,WU Jicang. Analysis of parameters inversion of fault dislocation model based on matrix singular value decomposition[J]. Journal of Geodesy and Geodynamics,2008,28(3):67-71.
[11] DENG X D,MONNIER T,GUY P,et al. Acoustic microscopy of functionally graded thermal sprayed coatings using stiffness matrix method and Stroh formalism[J]. Journal of Applied Physics,2013,113(22):1-10.
[12] SCHNEIDER D,SCHWARZ T,BUCHKREMER H P,et al. Non-destructive characterization of plasma-sprayed ZrO₂ coatings by ultrasonic surface waves[J]. Thin Solid Films,1993,224:177-183.
[13] MA Zhiyuan,LIN Li,JIN Shijie,et al. Identification of the velocity,thickness and interfacial roughness of coating using full time-domain URCPS:Cross-correlation-based inverse problem[J]. ASME J Nondestructive Evaluation,2018,2(1):011008.
[14] MA Zhiyuan,LUO Zhongbing,LIN Li,et al. Quantitative characterization of the interfacial roughness and thickness of inhomogeneous coatings based on ultrasonic reflection coefficient phase spectrum[J]. NDT&E International,2019,102(3):16-25.
[15] CASTELLANO A,FOTI P,FRADDOSIO A,et al.Mechanical characterization of CFRP composites by ultrasonic immersion tests:Experimental and numerical approaches[J]. Composites Part B:Engineering,2014,66:299-310.
[16] MA Zhiyuan,ZHANG Wei,LUO Zhongbing,et al.Ultrasonic characterization of thermal barrier coatings porosity through BP neural network optimizing Gaussian process regression algorithm[J]. Ultrasonics, 2020,100(1):105981.
[17] LIN Li,ZHANG Wei,MA Zhiyuan,et al. Porosity estimation of abradable seal coating with PSO-SVR model based on multi-scale ultrasonic attenuation coefficient[J]. NDT&E International,2020,113:102272.
[18] LIU G R,XU Y G,WU Z P. Total solution for structural mechanics problems[J]. Computer Methods in Applied Mechanics&Engineering,2001,191(8-10):989-1012.
[19] 邵宇轩,王磊,杨勇,等.纳米Al₂O₃对等离子喷涂ZrC-ZrSi₂复合涂层结构与性能的影响[J].中国表面工程,2021,34(4):30-37.SHAO Yuxuan,WANG Lei,YANG Yong,et al. Effects of nano-Al₂O₃on the microstructure and properties of ZrC-ZrSi₂composite coating prepared by plasma spraying[J]. China Surface Engineering,2021,34(4):30-37.
[20] SEVOSTIANOV I,KACHANOV M. Modeling of the anisotropic elastic properties of plasma-sprayed coatings in relation to their microstructure[J]. Acta Materialia,2000,48(6):1361-1370.