碳纤维复合材料损伤的超声检测与成像方法研究进展

杨红娟; 杨正岩; 杨雷; 单一男; 林奎旭; 武湛君

doi:10.13801/j.cnki.fhclxb.20230318.001

碳纤维复合材料损伤的超声检测与成像方法研究进展

doi: 10.13801/j.cnki.fhclxb.20230318.001

1.
大连理工大学　航空航天学院，大连 116024
2.
大连海事大学　交通运输工程学院，大连 116026
3.
大连交通大学　机车车辆工程学院，大连 116028

基金项目: 国家重点研发计划(2018YFA0702800；2022YFB3402500)；国家自然科学基金(12102075)

详细信息

通讯作者:
武湛君，博士，教授，研究方向为复合材料与结构、结构健康监测、智能/纳米材料与结构　E-mail: wuzhj@dlut.edu.cn

中图分类号: TB55；TB332
计量
- 文章访问数: 1898
- HTML全文浏览量: 959
- PDF下载量: 340
- 被引次数: 0
出版历程
- 收稿日期: 2022-12-07
- 修回日期: 2023-03-08
- 录用日期: 2023-03-11
- 网络出版日期: 2023-03-20
- 刊出日期: 2023-08-15

Progress in ultrasonic testing and imaging method for damage of carbon fiber composites

1.
School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China
2.
College of Transportation Engineering, Dalian Maritime University, Dalian 116026, China
3.
College of Locomotive and Rolling Stock Engineering, Dalian Jiaotong University, Dalian 116028, China

Funds: National Key Research and Development Program of China (2018YFA0702800; 2022YFB3402500); National Natural Science Foundation of China (12102075)

摘要

摘要: 碳纤维复合材料具有密度小、弹性高和韧性好等特点，被广泛应用于航空航天和汽车工业等领域。由于碳纤维复合材料制作工艺的复杂性和不稳定性及服役期间易受环境的影响，易产生分层、孔隙、纤维褶皱等各种类型的损伤。介绍了基于体波或导波的C扫描、相控阵、空气耦合、激光超声、光纤超声检测技术的原理、特点及用于碳纤维复合材料损伤检测的研究现状。综述了最具有代表性的损伤诊断成像算法，包括全聚焦成像、三维可视化成像、层析成像、逆时偏移成像和概率成像方法，这些成像方法能够有效地实现碳纤维复合材料各种类型的损伤形貌图像。从建立复杂构件的碳纤维复合材料层合板的阵列声场模型、优化损伤成像算法、构建智能/高效/实时化的结构健康监测成像系统、建立损伤定量评估标准、结合机器学习和数字孪生技术实施损伤诊断评估和寿命预测等方面进行了展望。
- 超声检测 /
- 超声成像 /
- 损伤检测 /
- 结构健康监测 /
- 碳纤维复合材料
Abstract: Carbon fiber composites are widely used in aerospace and automotive industries due to the characteris-tics of low density, high elasticity, and better toughness. Due to the complexity and instability of the manufacturing process of carbon fiber composites and their vulnerability to environmental impact during service, it is likely to generate delamination, porosity, fiber wrinkle, and other types of damage. In this paper, the principles and characteristics of C-scan, phased array, air-coupled, optical fiber-ultrasound, and laser-ultrasonic testing based on body or guided waves, as well as the research status of these technologies for damage detection of carbon fiber compo-sites, are introduced respectively. The most representative imaging algorithms for damage diagnosis are shown, including total-focus imaging, 3D visualization imaging, tomography, reverse time migration imaging, and probability imaging method, these imaging methods can effectively realize various types of damage morphology in carbon fiber composites. The prospect is made from the following aspects: The establishment of an array acoustic field model of carbon fiber composite laminates, the optimization of damage imaging method, the construction of intelligent/efficient/real-time structural health monitoring imaging system, the establishment of damage quantitative evaluation criteria, and combination of machine learning and digital twin technology for damage diagnosis assessment and life prediction.
- ultrasonic testing /
- ultrasonic imaging /
- damage detection /
- structural health monitoring /
- carbon fiber composites

HTML全文

图 1 碳纤维复合材料常见损伤^[4-5]

Figure 1. Common damage in carbon fiber composite materials^[4-5]

下载: 全尺寸图片幻灯片

图 2 损伤检测与成像的主要环节

Figure 2. Main links of damage detection and imaging

下载: 全尺寸图片幻灯片

图 3 基于体波检测的碳纤维复合材料各向同性声学模型

Figure 3. Isotropic acoustic model for carbon fiber composites based on body wave detection

下载: 全尺寸图片幻灯片

图 4 均质化声学模型示意图(a)^[6]和速度分布曲线(b)^[7]

(S_x, S_y)—Coordinates of point A; A—Incidence point; c, d, e—Refraction point of each layer; B—End point; d₁, d₂, d₃, d₄—Thickness of each layer; V^e—Velocity of each layer; BRM—Backwall reflection method; D^e—Average energy ray direction; d—Plate thickness

Figure 4. Schematic diagram of the homogenization acoustic model (a)^[6] and velocity distribution curve (b)^[7]

下载: 全尺寸图片幻灯片

图 5 基于体波的碳纤维复合材料各向异性声学模型

Figure 5. Anisotropic acoustic model for carbon fiber composites based on body wave

下载: 全尺寸图片幻灯片

图 6 基于导波的碳纤维复合材料各向异性声学模型^[13]

FEM—Finite element method; i—Layer number; r—Wave vector; Φ—The angle between the direction of wave propagation and the x-axis; ξ—Wave number; θ—The angle between the wave number and the x-axis; l—Direction tangent to wave crest; n—Direction normal to wave crest

Figure 6. Anisotropic acoustic model for carbon fiber composites based on guided wave^[13]

下载: 全尺寸图片幻灯片

图 7 B扫描和C扫描检测技术

Figure 7. B-scan and C-scan detection technology

下载: 全尺寸图片幻灯片

图 8 超声C扫描检测系统^[24]

Figure 8. Ultrasonic C-scan detection system^[24]

下载: 全尺寸图片幻灯片

图 9 检测复合材料中的冲击损伤：(a)超声波C扫描技术；(b) X射线技术^[44]

Figure 9. Detection of impact damage in composites: (a) Ultrasonic C-scan technology; (b) X-ray technology^[44]

下载: 全尺寸图片幻灯片

图 10 激光超声检测复合材料的结果^[46]

Figure 10. Results of the composite by the laser ultrasound^[46]

ϕ—Diameter

下载: 全尺寸图片幻灯片

图 11 光纤超声检测系统示意图^[88]

CFRP—Carbon fibre reinforced plastics; FBG—Fiber bragg grating

Figure 11. Schematic diagram of optical fiber ultrasonic testing system^[88]

下载: 全尺寸图片幻灯片

图 12 碳纤维复合材料中褶皱损伤的TFM成像^[32]

Figure 12. TFM imaging of wrinkle defects in carbon fiber composites^[32]

下载: 全尺寸图片幻灯片

图 13 碳纤维复合材料损伤的三维可视化成像^[110]

Figure 13. Three-dimensional visualization imaging of carbon fiber composite damage^[110]

下载: 全尺寸图片幻灯片

图 14 三维相控阵扫描示意图^[113]

Figure 14. Schematic image of a scanning of 3D phased arrays^[113]

下载: 全尺寸图片幻灯片

图 15 碳纤维复合材料的损伤层析成像结果^[118]

Figure 15. Tomography results of damage in carbon fibre composites^[118]

下载: 全尺寸图片幻灯片

图 16 碳纤维复合材料不同形状的损伤概率成像结果^[137]：(a)梯形；(b)矩形；(c)圆形

Figure 16. Probability imaging results of damage in carbon fiber composites with different shapes^[137]: (a) Trapezoidal; (b) Rectangle; (c) Circular

下载: 全尺寸图片幻灯片

表 1 检测碳纤维复合材料的线性换能器阵列参数

Table 1. Linear transducer array parameters for carbon fiber composites

Element pitch/ mm	Number of element	Centre frequency/ MHz	Ref.
0.6	64	5	[7]
0.75	64	2.25	[7]
1.4	32	2.25	[27]
1	64	5	[28]
0.63	64	5	[29]
0.6	16	7	[30]
1.0	32	5	[31]
0.3	128	10	[32]
0.6	32	5	[33-34]

下载: 导出CSV

表 2 用于碳纤维复合材料损伤的检测技术的比较

Table 2. Comparison of damage detection techniques for carbon fiber composites

Detection technique	Wave type	Damage type	Feature
C-scan	Body wave	Hole^[25], delamination^[37], impact damage^[42], debonding defect^[43]	Intuitive display and high detection efficiency
Phased array	Body wave	Delamination^{[30, 35, 51]}, fiber wrinkle defect^[32]	Acoustic beam focusing, high detection accuracy, high detection sensitivity
Phased array	Guided wave	Delamination^[90], drill hole^[59], multiple surface damage^[63]
Air-coupled	Body wave	Delamination^[40], square hole^[41], impact damage^[42], debonding defect^[43]	Contactless, no coupling agent, no effect on material properties
Air-coupled	Guided wave	Circular defect^[69]
Laser ultrasonic	Body wave	Circular defect^[46], delamination^[45]	Long-distance, contactless, high-resolution, wide-range detection
Laser ultrasonic	Guided wave	Impact damage^[70]
Optical fiber ultrasonic	Guided wave	Impact damage^[88]	Anti-electromagnetic interference, corrosion resistant

下载: 导出CSV

表 3 三维图像重构的两种数据采集方式的优劣

Table 3. Advantages and disadvantages of two data acquisition methods for 3D image reconstruction

Data acquisition method	Advantage	Disadvantage
1D linear array	Low cost	Complex detection process and slow detection speed^[111], low resolution^[112]
2D array	Fast detection speed, high imaging spatial resolution^[111]	High cost, complex acoustic beam control algorithm

下载: 导出CSV

表 4 5种成像方法用于碳纤维复合材料损伤的优劣

Table 4. Advantages and disadvantages of five imaging methods for carbon fiber composite damage

Imaging method	Wave type	Advantage	Disadvantage	Application
Total focus method	Body wave	Simple algorithm	Artifacts	Hole^[51], fiber wrinkle defect^[32]
3D visualization imaging	Body wave	3D damage image	Large amount of data, complex process	Impact damage^[110]
Tomography	Guided wave	No media prior knowledge required	Large amount of calculation	Delamination^[116]
Reverse time migration	Guided wave	High accuracy	Large amount of calculation and storage space	Damage of thin plate of complex structure^[133-134]
Probability-based diagnostic imaging	Guided wave	No media prior knowledge required	Vulnerable to environmental impact	Debonding damage^[142-143]

下载: 导出CSV

参考文献(158)

[1]	唐见茂. 碳纤维树脂基复合材料发展现状及前景展望[J]. 航天器环境工程, 2010, 27(3):269-280. doi: 10.3969/j.issn.1673-1379.2010.03.001 TANG Jianmao. Review of studies of carbon fiber resin matrix composites[J]. Spacecraft Environment Engineering,2010,27(3):269-280(in Chinese). doi: 10.3969/j.issn.1673-1379.2010.03.001
[2]	王恒生, 程艳婷. 复合材料在航天领域中的研究与应用进展[J]. 化工科技, 2013, 21(2):67-70. doi: 10.3969/j.issn.1008-0511.2013.02.018 WANG Hengsheng, CHENG Yanting. Advance on research and application of the composite materials in the aerospace engineering[J]. Science & Technology in Chemical Industry,2013,21(2):67-70(in Chinese). doi: 10.3969/j.issn.1008-0511.2013.02.018
[3]	陈绍杰. 先进复合材料在汽车领域的应用[J]. 高科技纤维与应用, 2011, 36(1):11-17, 23. doi: 10.3969/j.issn.1007-9815.2011.01.003 CHEN Shaojie. Application of advanced composites on automotive filed[J]. Hi-Tech Fiber & Application,2011,36(1):11-17, 23(in Chinese). doi: 10.3969/j.issn.1007-9815.2011.01.003
[4]	曹弘毅. 碳纤维复合材料超声相控阵无损检测技术研究[D]. 济南: 山东大学, 2021. CAO Hongyi. Research on phased array ultrasonic non-destructive testing technique of carbon fiber reinforced plastic[D]. Jinan: Shandong University, 2021(in Chinese).
[5]	张祥林. 复合材料R角部位缺陷检测技术与超声C扫描检测工艺技术研究[D]. 哈尔滨: 哈尔滨工程大学, 2012. ZHANG Xianglin. Compound materials R angle spot flaw examination technology and supersonic C scanning examination processing technology research[D]. Harbin: Harbin Engineering University, 2012(in Chinese).
[6]	DEYDIER S, GENGEMBRE N, CALMON P, et al. Ultrasonic field computation into multilayered composite materials using a homogenization method based on ray theory[C]//AIP Conference Proceedings. American Institute of Physics, 2005, 760(1): 1057-1064.
[7]	GRAGER J C, SCHRAPP M, MOOSHOFER H, et al. Ultrasonic imaging of carbon fiber-reinforced plastics using the full matrix capture data acquisition technique[C]//Proceedings of the World Conference on Nondestructive Testing. Germany: NDT. net, 2016: 1-11.
[8]	ZHOU B, GREENHALGH S. On the computation of elastic wave group velocities for a general anisotropic medium[J]. Journal of Geophysics & Engineering,2004,1(3):205-215. doi: DOI:10.1088/1742-2132/1/3/005
[9]	DE LUCA A, CAPUTO F, KHODAEI Z, et al. Damage characterization of composite plates under low velocity impact using ultrasonic guided waves[J]. Composites Part B: Engineering,2018,138:168-180. doi: 10.1016/j.compositesb.2017.11.042
[10]	XU C B, YANG Z B, ZUO H, et al. Minimum variance Lamb wave imaging based on weighted sparse decomposition coefficients in quasi-isotropic composite laminates[J]. Composite Structures,2021,275:114432. doi: 10.1016/j.compstruct.2021.114432
[11]	HALL J S, MCKEON P, SATYANARAYAN L, et al. Minimum variance guided wave imaging in a quasi-isotropic composite plate[J]. Smart Materials and Structures,2011,20(2):025013. doi: 10.1088/0964-1726/20/2/025013
[12]	SU Z Q, LIN Y, YE L. Guided Lamb waves for identification of damage in composite structures: A review[J]. Journal of Sound and Vibration,2006,295(3-5):753-780. doi: 10.1016/j.jsv.2006.01.020
[13]	MEI H F, GIURGIUTIU V. Guided wave excitation and propagation in damped composite plates[J]. Structural Health Monitoring,2019,18(3):690-714. doi: 10.1177/1475921718765955
[14]	DATTA D, KISHORE N N. Features of ultrasonic wave propagation to identify defects in composite materials modelled by finite element method[J]. NDT & E International,1996,29(4):213-223. doi: DOI:10.1016/S0963-8695(96)00016-3
[15]	MEI H F, GIURGIUTIU V. Predictive 1D and 2D guided-wave propagation in composite plates using the SAFE approach[C]//Proceedings of the Health Monitoring of Structural and Biological Systems XII. Colorado: SPIE, 2018: 215-225.
[16]	THOMSON W T. Transmission of elastic waves through a stratified solid medium[J]. Journal of Applied Physics,1950,21(2):89-93. doi: 10.1063/1.1699629
[17]	张海燕, 刘镇清, 吕东辉. 全局矩阵法及其在层状各向异性复合板中 Lamb 波传播特性研究中的应用[J]. 复合材料学报, 2004(2):111-116. doi: 10.3321/j.issn:1000-3851.2004.02.020 ZHANG Haiyan, LIU Zhenqing, LYU Donghui. Global matrix and its application to study on lamb wave propagation in layered anisotropic composite plates[J]. Acta Materiae Compositae Sinica,2004(2):111-116(in Chinese). doi: 10.3321/j.issn:1000-3851.2004.02.020
[18]	LI F C, PENG H K, SUN X W, et al. Wave propagation analysis in composite laminates containing a delamination using a three-dimensional spectral element method[J]. Mathematical Problems in Engineering,2012,2012(5):1-19. doi: 10.1155/2012/659849
[19]	HE C F, LI H Y, LI Z H, et al. The propagation of coupled Lamb waves in multilayered arbitrary anisotropic composite laminates[J]. Journal of Sound & Vibration,2013,332(26):7243-7256. doi: DOI:10.1016/j.jsv.2013.08.035
[20]	MORA P, DUCASSE E, DESCHAMPS M. Transient 3D elastodynamic field in an embedded multilayered anisotropic plate[J]. Ultrasonics,2016,69:106-115. doi: 10.1016/j.ultras.2016.03.020
[21]	RAMADAS C, BALASUBRAMANIAM K, HOOD A, et al. Modelling of attenuation of Lamb waves using Rayleigh damping: Numerical and experimental studies[J]. Composite Structures,2011,93(8):2020-2025. doi: 10.1016/j.compstruct.2011.02.021
[22]	SHEN Y F, CESNIK C E S. Hybrid local FEM/global LISA modeling of damped guided wave propagation in complex composite structures[J]. Smart Materials and Structures,2016,25(9):095021. doi: 10.1088/0964-1726/25/9/095021
[23]	GRESIL M, GIURGIUTIU V. Prediction of attenuated guided waves propagation in carbon fiber composites using Rayleigh damping model[J]. Journal of Intelligent Material Systems and Structures,2015,26(16):2151-2169. doi: 10.1177/1045389X14549870
[24]	周正干, 向上, 魏东, 等. 复合材料的超声检测技术[J]. 航空制造技术, 2009, 330(8):70-73. doi: 10.3969/j.issn.1671-833X.2009.08.010 ZHOU Zhenggan, XIANG Shang, WEI Dong, et al. Ultrasonic testing technologies for composites[J]. Aeronautical Manufacturing Technology,2009,330(8):70-73(in Chinese). doi: 10.3969/j.issn.1671-833X.2009.08.010
[25]	汪林娜, 赵子华, 张峥. CFRP层压板超声C扫描检测可靠性影响因素分析[J]. 玻璃钢/复合材料, 2011(3):20-23. doi: 10.3969/j.issn.1003-0999.2011.03.004 WANG Linna, ZHAO Zihua, ZHANG Zheng. Reliability factors analysis in ultrasonic C-scan for CFRP laminates[J]. Composites Science and Engineering,2011(3):20-23(in Chinese). doi: 10.3969/j.issn.1003-0999.2011.03.004
[26]	ROTH D J, TOKARS R P, MARTIN R E, et al. Ultrasonic phased array inspection experiments and simulations for an isogrid structural element with cracks[C]//Proceedings of the AIP Conference Proceedings. Kingston: American Institute of Physics, 2010: 910-917.
[27]	YAN D, SUTCLIFFE M, WRIGHT B, et al. Ultrasonic imaging of full matrix capture acquired data for carbon fibre-reinforced polymer[J]. Insight: Non-Destructive Testing and Condition Monitoring,2013,55(9):477-481. doi: 10.1784/insi.2012.55.9.477
[28]	LI L, CAO H Q, LUO Z B. Total focusing method imaging of multidirectional CFRP laminate with model-based time delay correction[J]. NDT & E International,2018,97:51-58. doi: 10.1016/j.ndteint.2018.03.011
[29]	LI C, PAIN D, WILCOX P D, et al. Imaging composite material using ultrasonic arrays[J]. NDT & E International,2012,53(1):8-17. doi: 10.1016/j.ndteint.2012.07.006
[30]	NAGESWARAN C, BIRD C R, TAKAHASHI R. Phased array scanning of artificial and impact damage in carbon fibre reinforced plastic (CFRP)[J]. Insight: Non-Destructive Testing and Condition Monitoring,2006,48(3):155-159. doi: 10.1784/insi.2006.48.3.155
[31]	张海燕, 宋佳昕, 任燕, 等. 碳纤维增强复合材料褶皱损伤的超声成像[J]. 物理学报, 2021, 70(11):114301. doi: 10.7498/aps.70.20210032 ZHANG Haiyan, SONG Jiaxin, REN Yan, et al. Ultrasonic imaging of wrinkles in carbon-fiber-reinforce-polymer composites[J]. Acta Physica Sinica,2021,70(11):114301(in Chinese). doi: 10.7498/aps.70.20210032
[32]	周正干, 朱甜甜, 马腾飞, 等. 先进树脂基复合材料纤维褶皱缺陷阵列超声全聚焦成像[J]. 复合材料学报, 2022, 39(9):4384-4392. ZHOU Zhenggan, ZHU Tiantian, MA Tengfei, et al. Array ultrasonic total-focus imaging for advanced resin matrix composite fiber wrinkle defect arrays[J]. Acta Materiae Compositae Sinica,2022,39(9):4384-4392(in Chinese).
[33]	徐娜, 沙正骁, 史亦韦. 超声相控阵延迟时间的声速校正及在复合材料中的检测[J]. 材料工程, 2015, 43(9):74-79. doi: 10.11868/j.issn.1001-4381.2015.09.012 XU Na, SHA Zhengxiao, SHI Yiwei. Velocity correction of delay time and inspection for composite materials using ultrasonic phased array[J]. Journal of Materials Engineering,2015,43(9):74-79(in Chinese). doi: 10.11868/j.issn.1001-4381.2015.09.012
[34]	CAO H Q, GUO S F, ZHANG S X, et al. Ray tracing method for ultrasonic array imaging of CFRP corner part using homogenization method[J]. NDT & E International,2021,122:102493. doi: DOI:10.1016/j.ndteint.2021.102493
[35]	MEOLA C, BOCCARDI S, CARLOMAGNO G M, et al. Nondestructive evaluation of carbon fibre reinforced composites with infrared thermography and ultrasonics[J]. Composite Structures,2015,134:845-853. doi: 10.1016/j.compstruct.2015.08.119
[36]	CAMINERO M A, GARCÍA-MORENO I, RODRÍGUEZ G P, et al. Internal damage evaluation of composite structures using phased array ultrasonic technique: Impact damage assessment in CFRP and 3D printed reinforced compo-sites[J]. Composites Part B: Engineering,2019,165:131-142. doi: 10.1016/j.compositesb.2018.11.091
[37]	曹弘毅, 马蒙源, 丁国强, 等. 复合材料层压板分层缺陷超声相控阵检测与评估[J]. 材料工程, 2021, 49(2):149-157. doi: 10.11868/j.issn.1001-4381.2020.000405 CAO Hongyi, MA Mengyuan, DING Guoqiang, et al. Delamination defects testing and evaluation of compo-site laminates using phased array ultrasonic technique[J]. Journal of Materials Engineering,2021,49(2):149-157(in Chinese). doi: 10.11868/j.issn.1001-4381.2020.000405
[38]	周正干, 魏东, 向上. 线性调频脉冲压缩方法在空气耦合超声检测中的应用研究[J]. 机械工程学报, 2010, 46(18):24-28, 35. doi: 10.3901/JME.2010.18.024 ZHOU Zhenggan, WEI Dong, XIANG Shang. Application of linear-frequency-modulation based pulse compression in air-coupled ultra-sonic testing[J]. Journal of Mechanical Engineering,2010,46(18):24-28, 35(in Chinese). doi: 10.3901/JME.2010.18.024
[39]	魏东, 周正干. 改进的非线性调频脉冲压缩方法在空气耦合超声检测中的应用[J]. 机械工程学报, 2012, 48(16):8-13. doi: 10.3901/JME.2012.16.008 WEI Dong, ZHOU Zhenggan. Application of non-linear frequency-modulation based pulse compression in air-coupled ultra-sonic testing[J]. Journal of Mechanical Engineering,2012,48(16):8-13(in Chinese). doi: 10.3901/JME.2012.16.008
[40]	危荃, 金翠娥, 周建平, 等. 空气耦合超声技术在航空航天复合材料无损检测中的应用[J]. 无损检测, 2016, 38(8):6-11. doi: 10.11973/wsjc201608002 WEI Quan, JIN Cui'e, ZHOU Jianping, et al. Application of air-coupled ultrasonic technology for nondestructive testing of aerospace composites[J]. Nondestructive Testing,2016,38(8):6-11(in Chinese). doi: 10.11973/wsjc201608002
[41]	殷晓康, 周凯, 王雨婷. 空气耦合超声检测系统开发与测试[J]. 电子测量技术, 2020, 43(15):79-83. doi: 10.19651/j.cnki.emt.2004465 YIN Xiaokang, ZHOU Kai, WANG Yuting. Development and test of air-coupled ultrasound system[J]. Electronic Measurement Technology,2020,43(15):79-83(in Chinese). doi: 10.19651/j.cnki.emt.2004465
[42]	高双胜, 陆春, 薛继佳, 等. CFRP 复合材料层板冲击损伤的空气耦合超声无损检测[J]. 纤维复合材料, 2015, 32(3):10-12. doi: 10.3969/j.issn.1003-6423.2015.03.003 GAO Shuangsheng, LU Chun, XUE Jijia, et al. Nondestruc-tive testing of impact damage in CFRP laminates by air-coupled ultrasound[J]. Fiber Composites,2015,32(3):10-12(in Chinese). doi: 10.3969/j.issn.1003-6423.2015.03.003
[43]	董方旭, 凡丽梅, 赵付宝, 等. 空气耦合超声检测技术在复合材料检测中的应用[J]. 无损探伤, 2022, 46(1):10-13. DONG Fangxu, FAN Limei, ZHAO Fubao, et al. Application of air coupled ultrasonic testing technology in composite testing[J]. Nondestructive Testing Technology,2022,46(1):10-13(in Chinese).
[44]	IMIELIŃSKA K, CASTAINGS M, WOJTYRA R, et al. Air-coupled ultrasonic C-scan technique in impact response testing of carbon fibre and hybrid: Glass, carbon and Kevlar/epoxy composites[J]. Journal of Materials Processing Technology,2004,157-158:513-522. doi: 10.1016/j.jmatprotec.2004.07.143
[45]	SUN G K, ZHOU Z G, CHEN X C, et al. Ultrasonic characterization of delamination in aeronautical composites using noncontact laser generation and detection[J]. Applied Optics,2013,52(26):6481-6486. doi: 10.1364/AO.52.006481
[46]	郭佳, 李四海, 宁宁, 等. 激光超声技术在无损检测中的应用[J]. 航空工程进展, 2014, 5(4):487-490, 501. doi: 10.3969/j.issn.1674-8190.2014.04.013 GUO Jia, LI Sihai, NING Ning, et al. Application of laser ultrasonic technique in non-destructive testing[J]. Advance in Aeronautical Science and Engineering,2014,5(4):487-490, 501(in Chinese). doi: 10.3969/j.issn.1674-8190.2014.04.013
[47]	刘松平, 郭恩明, 刘菲菲, 等. 激光超声检测碳纤维增强树脂基复合材料的缺陷评估技术研究[J]. 无损检测, 2007, 29(7):396-398, 401. doi: 10.3969/j.issn.1000-6656.2007.07.011 LIU Songping, GUO Enming, LIU Feifei, et al. Evaluation of defects in carbon fiber-reinforced composites by laser ultrasonic technique[J]. Nondestructive Testing,2007,29(7):396-398, 401(in Chinese). doi: 10.3969/j.issn.1000-6656.2007.07.011
[48]	VOILLAUME H, SIMONET D, BROUSSET C, et al. Analysis of commercial aeronautics applications of laser ultrasonics for composite manufacturing[J]. Proceedings of ECNDT, 2006: 1-8.
[49]	VANDENRIJT J F, LANGUY F, THIZY C, et al. Nondestruc-tive inspection of aerospace composites by a fiber-coupled laser ultrasonics system[C]//Proceedings of the Fifth International Conference on Optical and Photonics Engineering. Angleur: SPIE, 2017: 299-307.
[50]	ZENG L M, WANG B D, LIU X, et al. High-resolution air-coupled laser ultrasound imaging of microstructure and defects in braided CFRP[J]. Composites Communications,2021,28:100915. doi: 10.1016/j.coco.2021.100915
[51]	LIN L, CAO H Q, LUO Z B. Dijkstra's algorithm-based ray tracing method for total focusing method imaging of CFRP laminates[J]. Composite Structures,2019,215:298-304. doi: 10.1016/j.compstruct.2019.02.086
[52]	GUO N Q, CAWLEY P. Lamb wave propagation in compo-site laminates and its relationship with acousto-ultrasonics[J]. NDT & E International,1993,26(2):75-84. doi: DOI:10.1016/0963-8695(93)90257-U
[53]	YU L Y, GIURGIUTIU V. In-situ optimized PWAS phased arrays for Lamb wave structural health monitoring[J]. Journal of Mechanics of Materials and Structures,2007,2(3):459-487. doi: 10.2140/jomms.2007.2.459
[54]	AMBROZIŃSKI Ł, STEPINSKI T, UHL T. Efficient tool for designing 2D phased arrays in lamb waves imaging of isotropic structures[J]. Journal of Intelligent Material Systems and Structures,2015,26(17):2283-2294. doi: 10.1177/1045389X14545389
[55]	ENGHOLM M, STEPINSKI T. Direction of arrival estimation of Lamb waves using circular arrays[J]. Structural Health Monitoring,2011,10(5):467-480. doi: 10.1177/1475921710379512
[56]	WILCOX P D. Omni-directional guided wave transducer arrays for the rapid inspection of large areas of plate structures[J]. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control,2003,50(6):699-709. doi: 10.1109/TUFFC.2003.1209557
[57]	KANNAJOSYULA H, LISSENDEN C J, ROSE J L. Analysis of annular phased array transducers for ultrasonic guided wave mode control[J]. Smart Materials and Structures,2013,22(8):085019. doi: 10.1088/0964-1726/22/8/085019
[58]	YAN F, ROSE J L. Guided wave phased array beam steering in composite plates[C]//Proceedings of the Health Monitoring of Structural and Biological Systems 2007. San Diego: SPIE, 2007: 142-150.
[59]	YAN F, LISSENDEN C J, ROSE J L. Directivity profiles of ultrasonic guided wave phased arrays for multilayer composite plates[C]//Proceedings of the Health Monitoring of Structural and Biological Systems 2009. San Diego: SPIE, 2009: 340-350.
[60]	VISHNUVARDHAN J, MURALIDHARAN A, KRISHNAMURTHY C V, et al. Structural health monitoring of anisotropic plates using ultrasonic guided wave STMR array patches[J]. NDT & E International,2009,42(3):193-198. doi: DOI:10.1016/j.ndteint.2008.09.012
[61]	LELEUX A, MICHEAU P, CASTAINGS M. Long range detection of defects in composite plates using Lamb waves generated and detected by ultrasonic phased array probes[J]. Journal of Nondestructive Evaluation,2013,32(2):200-214. doi: 10.1007/s10921-013-0173-0
[62]	PUREKAR A S, PINES D J. Damage detection in thin composite laminates using piezoelectric phased sensor arrays and guided Lamb wave interrogation[J]. Journal of Intelligent Material Systems and Structures,2010,21(10):995-1010. doi: 10.1177/1045389X10372003
[63]	YU L Y, TIAN Z H. Guided wave phased array beamforming and imaging in composite plates[J]. Ultrasonics,2016,68:43-53. doi: 10.1016/j.ultras.2016.02.001
[64]	HUAN Q, CHEN M T, SU Z Q, et al. A high-resolution structural health monitoring system based on SH wave piezoelectric transducers phased array[J]. Ultrasonics,2019,97:29-37. doi: 10.1016/j.ultras.2019.04.005
[65]	CASTAINGS M, HOSTEN B. Lamb and SH waves generated and detected by air-coupled ultrasonic transducers in composite material plates[J]. NDT & E International,2001,34(4):249-258. doi: DOI:10.1016/S0963-8695(00)00065-7
[66]	YAN F, HAUCK E, MOR PERA T, et al. Ultrasonic guided wave imaging of a composite plate with air-coupled transducers[C]//Proceedings of the AIP Conference Proceedings. Oregon: American Institute of Physics, 2007: 1007-1012.
[67]	LIU Z H, YU H T, HE C F, et al. Delamination detection in composite beams using pure Lamb mode generated by air-coupled ultrasonic transducer[C]//Proceedings of the International Conference on Advances in Structural Health Management. Jeonju: SAGE Publications LTD, 2014: 541-550.
[68]	LIU Z H, YU H T, HE C F, et al. Delamination damage detection of laminated composite beams using air-coupled ultrasonic transducers[J]. Science China-Physics Mechanics & Astronomy,2013,56(7):1269-1279. doi: DOI:10.1007/s11433-013-5092-7
[69]	吴霞, 卢超, 陈果, 等. CFRP 层压板缺陷同侧空气耦合超声兰姆波特征成像检测研究[J]. 南昌航空大学学报:自然科学版, 2018, 32(4):52-58. WU Xia, LU Chao, CHEN Guo, et al. Study on eigenvalue lmaging of CFRP plate defect using air-coupled ultrasonic lamb waves[J]. Journal of Nanchang Hangkong University (Natural Sciences),2018,32(4):52-58(in Chinese).
[70]	ZHANG C, QIU J H, JI H L, et al. Laser ultrasonic imaging for impact damage visualization in composite structure[C]//Proceedings of the EWSHM-7th European Workshop on Structural Health Monitoring. France: La Cité, Nantes, 2014: 2199-2205.
[71]	SALAMONE S, BARTOLI I, LANZA DI SCALEA F, et al. Guided-wave health monitoring of aircraft composite panels under changing temperature[J]. Journal of Intelligent Material Systems and Structures,2009,20(9):1079-1090. doi: 10.1177/1045389X08101634
[72]	GAO D Y, WU Z J, YANG L, et al. Structural health monitoring for long-term aircraft storage tanks under cryoge-nic temperature[J]. Aerospace Science and Technology,2019,92:881-891. doi: 10.1016/j.ast.2019.02.045
[73]	WANG Y S, GAO L M, YUAN S F, et al. An adaptive filter-based temperature compensation technique for structural health monitoring[J]. Journal of Intelligent Material Systems and Structures,2014,25(17):2187-2198. doi: 10.1177/1045389X13519001
[74]	SUN H, YI J Y, XU Y, et al. Identification and compensation technique of non-uniform temperature field for Lamb wave-and multiple sensors-based damage detection[J]. Sensors,2019,19(13):1-14. doi: 10.1109/JSEN.2019.2912676
[75]	MARZANI A, SALAMONE S. Numerical prediction and experimental verification of temperature effect on plate waves generated and received by piezoceramic sensors[J]. Mechanical Systems and Signal Processing,2012,30:204-217. doi: 10.1016/j.ymssp.2011.11.003
[76]	HA S, LONKAR K, MITTAL A, et al. Adhesive layer effects on PZT-induced lamb waves at elevated temperatures[J]. Structural Health Monitoring,2010,9(3):247-256. doi: 10.1177/1475921710365267
[77]	LU Y H, MICHAELS J E. A methodology for structural health monitoring with diffuse ultrasonic waves in the presence of temperature variations[J]. Ultrasonics,2005,43(9):717-731. doi: 10.1016/j.ultras.2005.05.001
[78]	TAKEDA N. Fiber optic sensor-based SHM technologies for aerospace applications in Japan[C]//Proceedings of the Smart Sensor Phenomena, Technology, Networks, & Systems. San Diego: SPIE-INT SOC Optical Engineering, 2008: 1-13.
[79]	郝小柱, 张汉泉, 韦成龙, 等. 光纤水听器阵列应用于海洋地震勘探的试验[J]. 热带海洋学报, 2018, 37(3):93-98. HAO Xiaozhu, ZHANG Hanquan, WEI Chenglong, et al. Sea trial for fiber-optic hydrophone array used in marine geophysical exploration[J]. Journal of Tropical Oceanography,2018,37(3):93-98(in Chinese).
[80]	ALCOZ J, JORGE LEE C E, TAYLOR H F. Embedded fiber-optic fabry-perot ultrasound sensor[J]. IEEE Transactions on Ultrasonics Ferroelectrics & Frequency Control,1990,37(4):302-306. doi: DOI:10.1109/58.56491
[81]	PAVEL F, KRISHNASWAMY S. Response of a fiber Bragg grating ultrasonic sensor[J]. Optical Engineering,2003,42(4):956-963. doi: 10.1117/1.1556372
[82]	ZHU Y P, HU L L, LIU Z G, et al. Ultrasensitive ultrasound detection using an intracavity phase-shifted fiber Bragg grating in a self-injection-locked diode laser[J]. Optics Letters,2019,44(22):5525-5528. doi: 10.1364/OL.44.005525
[83]	BETZ D C, STASZEWSKI W J, THURSBY G, et al. Multi-functional fibre Bragg grating sensors for fatigue crack detection in metallic structures[J]. Proceedings of the Institution of Mechanical Engineers-Part G,2006,220(5):453-461. doi: 10.1243/09544100JAERO34
[84]	TSUDA H, LEE J R, GUAN Y S. Fatigue crack propagation monitoring of stainless steel using fiber Bragg grating ultrasound sensors[J]. Smart Materials & Structures,2006,15(5):1429-1437. doi: DOI:10.1088/0964-1726/15/5/032
[85]	TSUDA H, LEE J R, GUAN Y S, et al. Investigation of fatigue crack in stainless steel using a mobile fiber Bragg grating ultrasonic sensor[J]. Optical Fiber Technology,2007,13(3):209-214. doi: 10.1016/j.yofte.2006.12.003
[86]	LAM P M, LAU K T, LING H Y, et al. Acousto-ultrasonic sensing for delaminated GFRP composites using an embedded FBG sensor[J]. Optics & Lasers in Engineering,2009,47(10):1049-1055.
[87]	WU Q, YU F M, OKABE Y, et al. Application of a novel optical fiber sensor to detection of acoustic emissions by various damages in CFRP laminates[J]. Smart Materials and Structures,2015,24(1):1-10. doi: DOI:10.1088/0964-1726/24/1/015011
[88]	TSUDA H. Ultrasound and damage detection in CFRP using fiber Bragg grating sensors[J]. Composites Science & Technology,2006,66(5):676-683. doi: DOI:10.1016/j.compscitech.2005.07.043
[89]	TSUDA H, TOYAMA N, TAKATSUBO J. Damage detection of CFRP using fiber Bragg gratings[J]. Materials Science, 2004, 39(6): 2211-2214.
[90]	SPYTEK J, MROWKA J, PIECZONKA L, et al. Multi-resolution non-contact damage detection in complex-shaped composite laminates using ultrasound[J]. NDT & E International,2020,116:1-11. doi: DOI:10.1016/j.ndteint.2020.102366
[91]	STASZEWSKI W J. Intelligent signal processing for damage detection in composite materials[J]. Composites Science and Technology,2002,62(7-8):941-950. doi: 10.1016/S0266-3538(02)00008-8
[92]	BENAMMAR A, DRAI R, GUESSOUM A. Ultrasonic flaw detection using threshold modified S-transform[J]. Ultrasonics,2014,54(2):676-683. doi: 10.1016/j.ultras.2013.09.004
[93]	NAQIUDDIN M S M, LEONG M S, HEE L M, et al. Ultrasonic signal processing techniques for pipeline: A review[C]//Proceedings of the MATEC Web of Conferences. Malaysia: EDP Sciences, 2019: 1-11.
[94]	TIWARI K A, RAISUTIS R, SAMAITIS V. Signal processing methods to improve the signal-to-noise ratio (SNR) in ultrasonic non-destructive testing of wind turbine blade[J]. Procedia Structural Integrity,2017,5:1184-1191. doi: 10.1016/j.prostr.2017.07.036
[95]	ABDESSALEM B, REDOUANE D, AHMED K, et al. Enhancement of phased array ultrasonic signal in compo-site materials using TMST algorithm[J]. Physics Procedia,2015,70:488-491. doi: 10.1016/j.phpro.2015.08.292
[96]	WOYTOWICH B J. Detection of delamination defects in carbon fiber laminate composites using ultrasound and the Hilbert-Huang transform[D]. Boston: Tufts University, 2008.
[97]	HOLMES C, DRINKWATER B W, WILCOX P D. Post-processing of the full matrix of ultrasonic transmit-receive array data for non-destructive evaluation[J]. NDT & E International,2005,38(8):701-711. doi: 10.1016/j.ndteint.2005.04.002
[98]	GENGEMBRE N, CALMON P, PETILLON O, et al. Prediction of ultrasonic fields into composite multi-layered structures: Homogenization approach for the direct field and statistical approach for the inner reflections[C]//AIP Conference Proceedings. American Institute of Physics, 2003, 657: 957-964.
[99]	DEYDIER S, LEYMARIE N, CALMON P, et al. Modeling of the ultrasonic propagation into carbon-fiber-reinforced epoxy composites, using a ray theory based homogenization method[C]//Proceedings of the American Institute of Physics. Brunswick: Amer Inst Physics, 2006, 820: 972-978.
[100]	ROKHLIN S I, BOLLAND T K, ADLER L. Reflection and refraction of elastic waves on a plane interface between two generally anisotropic media[J]. The Journal of the Acoustical Society of America,1986,79(4):906-918. doi: 10.1121/1.393764
[101]	DIJKSTRA E. A note on two problems in connexion with graphs[J]. Numerische Mathematik,1959,1(1):269-271. doi: 10.1007/BF01386390
[102]	HART P E, NILSSON N J, RAPHAEL B. A formal basis for the heuristic determination of minimum cost paths[J]. IEEE Transactions on Systems Science and Cybernetics,1968,4(2):100-107. doi: DOI:10.1109/tssc.1968.300136
[103]	ZHOU H P, HAN Z D, DONG D, et al. A combined marching and minimizing ray-tracing algorithm developed for ultrasonic array imaging of austenitic welds[J]. NDT & E International,2018,95:45-56. doi: DOI:10.1016/j.ndteint.2018.01.008
[104]	PERLIN L P, DE ANDRADE PINTO R C. Use of network theory to improve the ultrasonic tomography in concrete[J]. Ultrasonics,2019,96:185-195. doi: 10.1016/j.ultras.2019.01.007
[105]	ZIELIŃSKA M, RUCKA M. Detection of debonding in reinforced concrete beams using ultrasonic transmission tomography and hybrid ray tracing technique[J]. Construction and Building Materials,2020,262:1-16. doi: DOI:10.1016/j.conbuildmat.2020.120104
[106]	PERKOWSKI Z, TATARA K. The use of Dijkstra's algorithm in assessing the correctness of imaging brittle damage in concrete beams by means of ultrasonic transmission tomography[J]. Materials,2020,13(3):551. doi: DOI:10.3390/ma13030551
[107]	FENSTER A, TONG S D, SHEREBRIN S, et al. Three-dimensional ultrasound imaging[C]//Proceedings of the Medical Imaging 1995: Physics of Medical Imaging. USA: SPIE-Int. Soc. Opt. Eng. ,1995, 4549: 176-184.
[108]	王婧云, 陈军, 叶伟龙, 等. 超声相控阵三维可视成像技术的发展与应用概述[J]. 无损探伤, 2015, 39(6):32-34. doi: 10.3969/j.issn.1671-4423.2015.06.008 WANG Jingyun, CHEN Jun, YE Weilong, et al. Overview of the development and application of ultrasonic phased array 3D visual imaging technology[J]. Nondestructive Testing Technology,2015,39(6):32-34(in Chinese). doi: 10.3969/j.issn.1671-4423.2015.06.008
[109]	MOHAMMADKHANI R, ZANOTTI FRAGONARA L, PADIYAR M J, et al. Improving depth resolution of ultrasonic phased array imaging to inspect aerospace composite structures[J]. Sensors,2020,20(2):1-18. doi: 10.1109/JSEN.2019.2963157
[110]	BULAVINOV A, PINCHUK R, PUDOVIKOV S, et al. Industrial application of real-time 3D imaging by sampling phased array[C]//Proceedings of the European Conference for Non-destructive Testing. Moscow: Int Committee Non-destructive Testing, 2010: 532-540.
[111]	周正干, 李洋, 陈芳浩, 等. 矩阵换能器超声三维成像方法研究[J]. 仪器仪表学报, 2016, 37(2):371-378. doi: 10.3969/j.issn.0254-3087.2016.02.018 ZHOU Zhenggan, LI Yang, CHEN Fanghao, et al. Research on three dimensional imaging method using ultrasonic matrix array transducer[J]. Chinese Journal of Scientific Instrument,2016,37(2):371-378(in Chinese). doi: 10.3969/j.issn.0254-3087.2016.02.018
[112]	FENSTER A, TONG S, CARDINAL H N, et al. Three-dimensional ultrasound imaging systems for prostate cancer diagnosis and treatment[J]. IEEE Instrumentation & Measurement Magazine,1998,1(4):32-35. doi: DOI:10.1109/5289.735975
[113]	KITAZAWA S, KONO N, BABA A, et al. Three-dimensional visualisation and evaluation techniques for volumetrically scanned data of ultrasonic phased arrays[J]. Insight: Non-Destructive Testing and Condition Monitoring,2010,52(4):201-205. doi: 10.1784/insi.2010.52.4.201
[114]	LYTLE R J, DINES K A. Iterative ray tracing between boreholes for underground image reconstruction[J]. IEEE Transactions on Geoscience and Remote Sensing,1980,18(3):234-240. doi: DOI:10.1109/TGRS.1980.4307496
[115]	陈彦华, 兰从庆, 许克克. 反射式超声计算机层析成像算法研究[J]. 声学学报, 1992, 17(4):301-307. doi: 10.15949/j.cnki.0371-0025.1992.04.009 CHEN Yanhua, LAN Congqing, XU Keke. A compution algorithm for ultrasonic reflective tomography[J]. Acta Acustica,1992,17(4):301-307(in Chinese). doi: 10.15949/j.cnki.0371-0025.1992.04.009
[116]	JANSEN D P, HUTCHINS D A, MOTTRAM J T. Lamb wave tomography of advanced composite laminates containing damage[J]. Ultrasonics,1994,32(2):83-90. doi: 10.1016/0041-624X(94)90015-9
[117]	WANG C H, CHANG F K. Scattering of plate waves by a cylindrical inhomogeneity[J]. Journal of Sound & Vibration,2005,282(1-2):429-451. doi: DOI:10.1016/j.jsv.2004.02.023
[118]	SU C H, JIANG M S, LIANG J Y, et al. Damage identification in composites based on hilbert energy spectrum and Lamb wave tomography algorithm[J]. IEEE Sensors Jour-nal,2019,19(23):11562-11572. doi: 10.1109/JSEN.2019.2935740
[119]	ETGEN J, GRAY S H, ZHANG Y. An overview of depth imaging in exploration geophysics[J]. Geophysics,2009,74(6):5-17. doi: 10.1190/1.3223188
[120]	BAYSAL E, KOSLOFF D D, SHERWOOD J W C. A two-way nonreflecting wave equation[J]. Geophysics,1984,49(2):132-141. doi: 10.1190/1.1441644
[121]	ZHOU H W, HU H, ZOU Z H, et al. Reverse time migration: A prospect of seismic imaging methodology[J]. Earth-Science Reviews,2018,179:207-227. doi: 10.1016/j.earscirev.2018.02.008
[122]	CLAERBOUT J F. Toward a unified theory of reflector mapping[J]. Geophysics,1971,36(3):467-481. doi: 10.1190/1.1440185
[123]	BLEISTEIN N. On the imaging of reflectors in the earth[J]. Geophysics,1987,52(7):931-942. doi: 10.1190/1.1442363
[124]	KAELIN B, GUITTON A. Imaging condition for reverse time migration[C]//Seg technical program expanded abstracts 2006. Tulsa: Society of Exploration Geophysicists, 2006: 2594-2598.
[125]	BAYSAL E, KOSLOFF D D, SHERWOOD J W C. Reverse time migration[J]. Geophysics,1983,48(11):1514-1524. doi: 10.1190/1.1441434
[126]	SAVA P, HILL S J. Overview and classification of wavefield seismic imaging methods[J]. The Leading Edge,2009,28(2):170-183. doi: 10.1190/1.3086052
[127]	丁亮, 刘洋. 逆时偏移成像技术研究进展[J]. 地球物理学进展, 2011, 26(3):1085-1100. doi: 10.3969/j.issn.1004-2903.2011.03.039 DING Liang, LIU Yang. Progress in reverse time migration imaging[J]. Progress in Geoghys,2011,26(3):1085-1100(in Chinese). doi: 10.3969/j.issn.1004-2903.2011.03.039
[128]	YANG X B, WANG K, XU Y F, et al. A reverse time migration-based multistep angular spectrum approach for ultrasonic imaging of specimens with irregular surfaces[J]. Ultrasonics,2020,108:1-10. doi: DOI:10.1016/j.ultras.2020.106233
[129]	YANG H J, LI J, WU D L, et al. Imaging a defect in layered media with different shaped interfaces using reverse time migration without velocity model known a priori[J]. Ultrasonics,2022,124:1-7. doi: DOI:10.1016/j.ultras.2022.106750
[130]	徐琰锋, 胡文祥. 纵向带状裂隙形貌的逆时偏移超声成像[J]. 物理学报, 2014, 63(15):1-8. doi: 10.7498/aps.63.154302 XU Yanfeng, HU Wenxiang. Ultrasonic imaging for appearance of vertical slot by reverse time migration[J]. Acta Physica Sinica,2014,63(15):1-8(in Chinese). doi: 10.7498/aps.63.154302
[131]	MÜLLER S, NIEDERLEITHINGER E, KRAUSE M, et al. Reverse time migration: A seismic imaging technique applied to ultrasonic data[J]. International Journal of Geophysics, 2012, 2012(11): 128465.
[132]	WANG L, YUAN F G. Damage identification in a compo-site plate using prestack reverse-time migration technique[J]. Structural Health Monitoring,2005,4(3):195-211. doi: 10.1177/1475921705055233
[133]	HE J Z, YUAN F G. Damage identification for composite structures using a cross-correlation reverse-time migration technique[J]. Structural Health Monitoring,2015,14(6):558-570. doi: 10.1177/1475921715602546
[134]	HE J Z, YUAN F G. A quantitative damage imaging technique based on enhanced CCRTM for composite plates using 2D scan[J]. Smart Materials and Structures,2016,25(10):1-11. doi: DOI:10.1088/0964-1726/25/10/105022
[135]	HAY T R, ROYER R L, GAO H D, et al. A comparison of embedded sensor Lamb wave ultrasonic tomography approaches for material loss detection[J]. Smart Materials and Structures,2006,15(4):946-951. doi: 10.1088/0964-1726/15/4/007
[136]	ZHAO X L, GAO H D, ZHANG G F, et al. Active health monitoring of an aircraft wing with embedded piezoelectric sensor/actuator network: I. Defect detection, localization and growth monitoring[J]. Smart Materials and Structures,2007,16(4):1208-1217. doi: 10.1088/0964-1726/16/4/032
[137]	LIU Z H, YU H T, FAN J W, et al. Baseline-free delamination inspection in composite plates by synthesizing non-contact air-coupled Lamb wave scan method and virtual time reversal algorithm[J]. Smart Materials and Structures,2015,24(4):1-15. doi: DOI:10.1088/0964-1726/24/4/045014
[138]	MUSTAPHA S, YE L. Propagation behaviour of guided waves in tapered sandwich structures and debonding identification using time reversal[J]. Wave Motion,2015,57:154-170. doi: 10.1016/j.wavemoti.2015.03.010
[139]	WU Z J, LIU K H, WANG Y S, et al. Validation and evaluation of damage identification using probability-based diagnostic imaging on a stiffened composite panel[J]. Journal of Intelligent Material Systems & Structures,2015,26(16):2181-2195. doi: DOI:10.1177/1045389X14549873
[140]	LIU Z H, ZHONG X W, DONG T C, et al. Delamination detection in composite plates by synthesizing time-reversed Lamb waves and a modified damage imaging algorithm based on RAPID[J]. Structural Control and Health Monitoring,2016,24(5):1-17. doi: DOI:10.1002/stc.1919
[141]	LIU Z H, YU F X, RU W, et al. Image fusion based on single-frequency guided wave mode signals for structural health monitoring in composite plates[J]. Materials Evaluation,2013,71(12):1434-1443.
[142]	ZHU J J, WANG Y S, QING X L. A novel electromechanical impedance model for surface-bonded circular piezoelectric transducer[J]. Smart Materials and Structures,2019,28(10):1-12. doi: DOI:10.1088/1361-665X/ab39ba
[143]	ZHU J J, QING X L, LIU X, et al. Electromechanical impedance-based damage localization with novel signatures extraction methodology and modified probability-weighted algorithm[J]. Mechanical Systems and Signal Processing,2021,146:1-20. doi: DOI:10.1016/j.ymssp.2020.107001
[144]	SUTCLIFFE M, WESTON M, DUTTON B, et al. Real-time full matrix capture for ultrasonic non-destructive testing with acceleration of post-processing through graphic hardware[J]. NDT & E International,2012,51:16-23. doi: DOI:10.1016/j.ndteint.2012.06.005
[145]	NJIKI M, ELOUARDI A, BOUAZIZ S, et al. A real-time implementation of the total focusing method for rapid and precise diagnostic in non destructive evaluation [C]//Proceedings of the 2013 IEEE 24th International Conference on Application-Specific Systems, Architectures and Processors. Washington: IEEE, 2013: 245-248.
[146]	ASTM. Standard practice for ultrasonic testing of flat panel composites and sandwich core materials used in aerospace applications: E2580[S]. West Conshohocken: ASTM, 2017.
[147]	ASTM. Standard guide for non-destructive testing of polymer matrixcompos itesused in aerospace applications: E2533[S]. West Conshohocken: ASTM International, 2017.
[148]	国防科学技术工业委员会. 纤维增强复合材料无损检验方法第1部分: 超声波检验: GJB 1038. IA—2004[S]. 北京: 国防科学技术工业委员会, 2004. National Defense Science TAIC. Non-destructive testing methods for fiber reinforced composites part 1: Ultrasound testing: GJB 1038. IA—2004[S]. Beijing: National Defense Science, Technology and Industry Commission, 2004(in Chinese).
[149]	国防科学技术工业委员会. 复合材料制件无损检测对比试块制作与要求: HB 7825—2007[S]. 北京: 国防科学技术工业委员会, 2007. National Defense Science TAIC. Non-destructive testing of composite parts comparison test block fabrication and requirements: HB 7825—2007[S]. Beijing: National Defense Science TAIC, 2007(in Chinese).
[150]	FARRAR C R, WORDEN K. Structural health monitoring: A machine learning perspective[M]. Hoboken: John Wiley & Sons, 2012: 1-15.
[151]	SARAIVA F D E O, BERNARDES W M S, ASADA E N. A framework for classification of non-linear loads in smart grids using artificial neural networks and multi-agent systems[J]. Neurocomputing,2015,170:328-338. doi: 10.1016/j.neucom.2015.02.090
[152]	SIMONE G, MORABITO F C, POLIKAR R, et al. Feature extraction techniques for ultrasonic signal classification[J]. International Journal of Applied Electromagnetics and Mechanics,2002,15(1-4):291-294. doi: 10.3233/JAE-2002-462
[153]	MENG M, CHUA Y J, WOUTERSON E, et al. Ultrasonic signal classification and imaging system for composite materials via deep convolutional neural networks[J]. Neurocomputing,2017,257:128-135. doi: 10.1016/j.neucom.2016.11.066
[154]	CACCIOLA M, CALCAGNO S, MORABITO F C, et al. Computational intelligence aspects for defect classification in aeronautic composites by using ultrasonic pulses[J]. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control,2008,55(4):870-878. doi: 10.1109/TUFFC.2008.722
[155]	杨宇, 王彬文, 吕帅帅, 等. 一种基于深度学习的复合材料结构损伤导波监测方法[J]. 航空科学技术, 2020, 31(7):102-108. YANG Yu, WANG Binwen, LYU Shuaishuai, et al. A deep-learning-based method for damage ldentification of composite laminates[J]. Aeronautical Science & Technology,2020,31(7):102-108(in Chinese).
[156]	AGARWAL S, MITRA M. Lamb wave based automatic damage detection using matching pursuit and machine learning[J]. Smart Materials and Structures,2014,23(8):1-11. doi: DOI:10.1088/0964-1726/23/8/085012
[157]	高东岳. 基于机器学习方法的超声导波结构健康监测研究[J]. 纤维复合材料, 2020, 37(3):3-8. doi: 10.3969/j.issn.1003-6423.2020.03.001 GAO Dongyue. Ultrasonic guided wave structural health monitoring technology based on machine learning method[J]. Fiber Composites,2020,37(3):3-8(in Chinese). doi: 10.3969/j.issn.1003-6423.2020.03.001
[158]	杨宇, 周雨熙, 王莉. 一种集成多个机器学习模型的复合材料结构损伤识别方法[J]. 数据采集与处理, 2020, 35(2):278-287. doi: 10.16337/j.1004-9037.2020.02.009 YANG Yu, ZHOU Yuxi, WANG Li. Integrated method of multiple machine-learning models for damage recognition of composite structures[J]. Journal of Data Acquisition and Processing,2020,35(2):278-287(in Chinese). doi: 10.16337/j.1004-9037.2020.02.009