THE PHASE SHIFT OF SH0 GUIDED WAVE PROPAGATING IN BONDING STRUCTURE
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摘要: 对粘接结构进行超声导波无损检测与评估是一个有挑战性的前沿性课题.针对此问题，研究了SH0导波在界面为理想连接的三层板状粘接结构中传播时的相位变化情况.首先基于波传播的控制方程，建立了粘接结构中反射和透射SH0导波相对于入射SH0导波的相位差解析模型.然后利用数值模拟计算了铝/环氧树脂/铝粘接结构中反射和透射SH0导波的相位差曲线.最后分析了入射角度和频厚积的变化对反射和透射SH0导波相位差的影响.结果表明，对于具体的粘接结构，反射和透射SH0导波在其中传播时的相位差变化主要依赖于入射角度、频率等参数.在特定的频厚积下，当声波水平入射时，反射和入射SH0导波同相位.无论入射角度为多大，随着频厚积的增大，反射SH0导波的相位差曲线均会产生周期性谐振.对于透射SH0导波，当声波垂直入射时，其相位差曲线的改变无规律可循；但是随着入射角度逐渐增大，透射SH0导波的相位差曲线逐渐变规则.所得结果可为实验时研究板状粘接结构中SH0导波的传播特性以及提取SH0导波回波中的有用信息和定位提供一定的理论指导.Abstract: It is a difficult and challenging subject for non-destructive testing and evaluation of adhesive structure by ultrasonic guided waves.For this issue, the phase shift of SH0 guided wave transmitting in perfect connected trilaminar plate-like adhesive structure was researched.Firstly, the phase-difference analytical model between the incident and transmission/reflection SH0 guided wave, which based on the control equation of wave propagation, was established.Then, the phase-difference curves of reflection/transmission SH0 guided wave in aluminum/epoxy resin/aluminum adhesive structure were calculated by numerical simulation.Finally, the effects of changes of incident angle and frequency-thickness product on the phase-difference of reflection/transmission SH0 guided wave were analyzed.The results show that the changes of phase-difference of reflection/transmission SH0 guided wave transmitting in adhesive structure mainly depend on the parameter as incident angle or frequency of acoustic wave, for the concrete bonding structure.The reflection and incident SH0 guided waves are in the same phase when the ultrasound is incident under a particular frequency-thickness product.Despite the angle of incidence, the phase-difference curve of reflection SH0 guided wave shows periodic res-onance with the increasement of frequency-thickness product.For the transmission SH0 guided wave, the change of the phase-difference curve has no law to follow when the ultrasound is normal incident.But the phase-difference curve changes from irregularity to regularity as the angle of incidence increase.The results obtained could provide the theory support for studying the propagation characteristics of SH0 guided wave in plate-like bonding structure and information retrieving of echoed SH0 guided wave and positioning during the experiment.
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图 2 入射角度对SH0 导波相位差的影响
Figure 2. The effect of incident angle on the phase-difference of SH0 guided wave
图 3 入射角为0° 时频厚积对SH$_{0}$ 导波相位差的影响
Figure 3. The effect of frequency-thickness product on the phase-difference of SH$_{0}$ guided wave when the incident angle is 0°
图 4 入射角为30° 时频厚积对SH$_{0}$ 导波相位差的影响
Figure 4. The effect of frequency-thickness product on the phase-difference of SH$_{0}$ guided wave when the incident angle is 30°
图 5 入射角为60° 时频厚积对SH$_{0}$ 导波相位差的影响
Figure 5. The effect of frequency-thickness product on the phase-difference of SH$_{0}$ guided wave when the incident angle is 60°
图 6 入射角为0° 时频率、粘接层厚度与反射SH$_{0}$ 导波相位差之间的关系
Figure 6. The relationship between the frequency, the thickness of adhesive layer and the phase-difference of reflection SH$_{0}$ guided wave when the incident angle is 0°
图 7 入射角为60° 时频率、粘接层厚度与反射SH$_{0}$ 导波相位差之间的关系
Figure 7. The relationship between the frequency, the thickness of adhesive layer and the phase-difference of reflection SH$_{0}$ guided wave when the incident angle is 60°
图 8 入射角为0° 时频率、粘接层厚度与透射SH$_{0}$ 导波相位差之间的关系
Figure 8. The relationship between the frequency, the thickness of adhesive layer and the phase-difference of transmission SH$_{0}$ guided wave when the incident angle is 0°
图 9 入射角为60° 时频率、粘接层厚度与透射SH0 导波相位差之间的关系
Figure 9. The relationship between the frequency, the thickness of adhesive layer and the phase-difference of transmission SH0 guided wave when the incident angle is 60°
表 1 常见材料的物理性质
Table 1. Physical properties of common materials
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[1] Wu B, Ding JC, He CF, et al. Wave propagation in water-immersed adhesive structure with the substrates of finite thickness. NDT & E International, 2016, 80:35-47 https://www.researchgate.net/profile/Zenghua_Liu/publication/295396331_Wave_Propagation_in_Water-immersed_Adhesive_Structure_with_the_Substrates_of_Finite_Thickness/links/57309a2108aed286ca0db624.pdf?origin=publication_detail [2] Masserey B, Raemy C, Fromme P. High-frequency guided ultrasonic waves for hidden defect detection in multi-layered aircraft structures. Ultrasonics, 2014, 54(7):1720-1728 doi: 10.1016/j.ultras.2014.04.023 [3] Zhang KS, Zhou ZG, Zhou JH, et al. Characteristics of laser ultrasound interaction with multi-layered dissimilar metals adhesive interface by numerical simulation. Applied Surface Science, 2015, 353:284-290 doi: 10.1016/j.apsusc.2015.06.103 [4] Moreno MCS, Cela JJL, Vicente JLM, et al. Adhesively bonded joints as a dissipative energy mechanism under impact loading. Applied Mathematical Modelling, 2015, 39(12):3496-3505 doi: 10.1016/j.apm.2014.11.052 [5] Kundu S, Manna S, Gupta S. Propagation of SH-wave in an initially stressed orthotropic medium sandwiched by a homogeneous and an inhomogeneous semi-infinite media. Mathematical Methods in the Applied Sciences, 2015, 38(9):1926-1936 doi: 10.1002/mma.v38.9 [6] Deng QT, Yang ZC. Propagation of guided waves in bonded composite structures with tapered adhesive layer. Applied Mathematical Modelling, 2011, 35(11):5369-5381 doi: 10.1016/j.apm.2011.04.042 [7] Cerniglia D, Pantano A, Montinaro N. 3D simulations and experiments of guided wave propagation in adhesively bonded multi-layered structures. NDT & E International, 2010, 43(6):527-535 https://www.researchgate.net/profile/Antonio_Pantano/publication/223295391_3D_simulations_and_experiments_of_guided_wave_propagation_in_adhesively_bonded_multi-layered_structures/links/570bffc108aee0660351a9ac.pdf?origin=publication_detail [8] Graham JW, Lee JK. Reflection and transmission from biaxially anisotropic-isotropic interfaces. Progress in Electromagnetics Research, 2013, 136:681-702 doi: 10.2528/PIER12110808 [9] Vajari DA, Sorensen BF, Legarth BN. Effect of fiber positioning on mixed-mode fracture of interfacial debonding in composites. International Journal of Solids and Structures, 2015, 53:58-69 doi: 10.1016/j.ijsolstr.2014.10.023 [10] Crom LB, Castaings M. Shear horizontal guided wave modes to infer the shear stiffness of adhesive bond layers. Journal of the Acoustical Society of America, 2010, 127(4):2220-2230 doi: 10.1121/1.3309441 [11] Banerjee S. Theoretical modeling of guided wave propagation in a sandwich plate subjected to transient surface excitations. International Journal of Solids and Structures, 2012, 49(23-24):3233-3241 doi: 10.1016/j.ijsolstr.2012.06.022 [12] Chaudhary S, Kaushik VP, Tomar SK. Reflection/transmission of plane SH wave through a self-reinforced elastic layer between two half-spaces. Acta Geophysica Polonica, 2004, 52(2):219-235 https://www.researchgate.net/profile/Vp_Kaushik/publication/228422657_Reflectiontransmission_of_plane_SH_wave_through_a_self-reinforced_elastic_layer_between_two_half-spaces/links/555a1b2d08ae6fd2d8281db3.pdf?origin=publication_list [13] Dravinski M, Sheikhhassani R. Scattering of a plane harmonic SH wave by a rough multilayered inclusion of arbitrary shape. Wave Motion, 2013, 50(4):836-851 doi: 10.1016/j.wavemoti.2013.02.014 [14] Sheikhhassani R, Dravinski M. Scattering of a plane harmonic SH wave by multiple layered inclusions. Wave Motion, 2014, 51(3):517-532 doi: 10.1016/j.wavemoti.2013.12.002 [15] Castaings M. SH ultrasonic guided waves for the evaluation of interfacial adhesion. Ultrasonics, 2014, 54(7):1760-1775 doi: 10.1016/j.ultras.2014.03.002 [16] PredoiMV, Kettani MEC, Leduc D, et al. Use of shear horizontal waves to distinguish adhesive thickness variation from reduction in bonding strength. Journal of the Acoustical Society of America, 2015, 138(2):1206-1213 doi: 10.1121/1.4928299 [17] Wang AL, Liu FP. The phase shift of reflection and refraction of SH-wave at an interface of two media. Advanced Materials Research, 2014, 983:388-391 doi: 10.4028/www.scientific.net/AMR.983 [18] Wang AL, Liu FP. The lateral shift of refraction SH-wave on an interface of two media. Advanced Mechanics and Materials, 2014, 551:580-582 doi: 10.4028/www.scientific.net/AMM.551 [19] Yew CH, Weng XW. Using ultrasonic SH waves to estimate the quality of adhesive bonds in plate structures. Journal of the Acoustical Society of America, 1985, 77(5):1813-1823 doi: 10.1121/1.391930 [20] Ding JC, Wu B, He CF. Reflection and transmission coefficients of the SH0 mode in the adhesive structures with imperfect interface. Ultrasonics, 2016, 70:248-257 doi: 10.1016/j.ultras.2016.05.010 [21] 刘福平, 王安玲, 李瑞忠等. 全反射SH地震波的Goos-Hanchen效应动校正时差. 地球物理学报, 2009(8):2128-2134 http://www.cnki.com.cn/Article/CJFDTOTAL-DQWX200908023.htmLiu Fuping, Wang Anling, Li Ruizhong, et al. The influence on normal moveout of total reflected SH-wave by Goos-Hanchen effect at an interface of strata. Chinese Journal of Geophysics, 2009(8):2128-2134(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-DQWX200908023.htm [22] 代海涛, 程伟. 压电复合材料层合结构中的SH波. 复合材料学报, 2007, 24(1):179-184 http://www.cnki.com.cn/Article/CJFDTOTAL-FUHE200701029.htmDai Haitao, Cheng Wei. SH wave in piezoelectric composite layered structure. Acta Materiae Compositae Sinica, 2007, 24(1):179-184(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-FUHE200701029.htm [23] 徐红玉, 陈殿云, 杨先建等. 弹性介质中平面SH波通过弹性夹层时的传播特性. 岩石力学与工程学报, 2003, 22(2):304-308 http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200302030.htmXu Hongyu, Chen Dianyun, Yang Xianjian, et al. Propagation characteristics of plane SH wave passing through elastic interlining in elastic medium. Chinese Journal of Rock Mechanics and Engineering, 2003, 22(2):304-308(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200302030.htm [24] 龚育宁. SH波在滑动接触面上的反射与折射. 固体力学学报, 1987, 8(2):174-178 http://www.cnki.com.cn/Article/CJFDTOTAL-GTLX198702010.htmGong Yuning. The reflection and refraction of SH-waves at a slipping unilateral interface. Chinese Journal of Solid Mechanics, 1987, 8(2):174-178(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-GTLX198702010.htm [25] 魏唯一, 刘金喜, 方岱宁. 初应力对周期压电/压磁层状结构中SH波传播特性的影响. 工程力学, 2010, 27(11):184-190 http://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201011029.htmWei Weiyi, Liu Jinxi, Fang Daining. Effect of initial stress on the propagation characteristics of SH-waves in periodic piezoelectric-piezomagnetic layered structures. Engineering Mechanics, 2010, 27(11):184-190(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201011029.htm [26] 郭智奇, 刘财, 张凤琴. 层状黏弹性介质中SH波的反射和透射问题. 吉林大学学报(地球科学版), 2005, 35(增刊):57-61 http://www.cnki.com.cn/Article/CJFDTOTAL-CCDZ2005S1011.htmGuo Zhiqi, Liu Cai, Zhang Fengqin. Reflection and transmission problem of SH waves in layered viscoelastic medium. Journal of Jilin University (Earth Science Edition), 2005, 35(Sup):57-61(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-CCDZ2005S1011.htm [27] 杜建科, 叶定友. 功能梯度压电材料层状结构中的SH波. 固体火箭技术, 2005, 28(2):133-136 http://www.cnki.com.cn/Article/CJFDTOTAL-GTHJ200502014.htmDu Jianke, Ye Dingyou. SH waves in laminated structure of functionally gradient piezoelectric material. Journal of Solid Rocket Technology, 2005, 28(2):133-136(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-GTHJ200502014.htm [28] 杨理践, 吕瑞宏, 高松巍等. 有界双层结构SH导波频散特性分析. 沈阳工业大学学报, 2016, 38(3):286-292 http://www.cnki.com.cn/Article/CJFDTOTAL-SYGY201603009.htmYang Lijian, Lu Ruihong, Gao Songwei, et al. Analysis for frequency dispersion characteristics of SH guiding wave in bounded double layer structure. Journal of Shenyang University of Technology, 2016, 38(3):286-292(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-SYGY201603009.htm [29] 余嘉顺, 贺振华. SH波在表面多层介质中传播的精确模拟. 地震研究, 2003, 26(1):14-19 http://www.cnki.com.cn/Article/CJFDTOTAL-DZYJ200301002.htmYu Jiashun, He Zhenhua. Precise modelling of SH wave propagation in subsurface multilayer media. Journal of Seismological Research, 2003, 26(1):14-19(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-DZYJ200301002.htm [30] 艾春安, 朱盛录, 俞红博. 横波检测粘接界面层多孔隙缺陷的数值分析. 无损检测, 2007, 29(1):16-19 http://www.cnki.com.cn/Article/CJFDTOTAL-WSJC200701006.htmAi Chun'an, Zhu Shenglu, Yu Hongbo. Numeric analysis of the testing of porosity flaw on the adhesive layer with SH wave. Nondestructive Testing, 2007, 29(1):16-19(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-WSJC200701006.htm [31] Rose JL. Ultrasonic Guided Waves in Solid Media. Cambridge:Cambridge University Press, 2014 [32] 刘飞, 吴斌, 何存富等. 弹性板中低阶导波模态声弹性效应分析. 北京工业大学学报, 2013, 39(6):823-827 http://www.cnki.com.cn/Article/CJFDTOTAL-BJGD201306004.htmLiu Fei, Wu Bin, He Cunfu, et al. Analysis of acoustoelastic effect for low-order guided wave modes in elastic plate. Journal of Beijing University of Technology, 2013, 39(6):823-827(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-BJGD201306004.htm [33] 徐红玉, 陈殿云, 王钦亭. 层合介质中平面SH波的传播. 焦作工学院学报(自然科学版), 2003, 22(4):320-323 http://www.cnki.com.cn/Article/CJFDTOTAL-JGXB200304025.htmXu Hongyu, Chen Dianyun, Wang Qinting. Propagation of plan SH wave in laminated medium. Journal of Jiaozuo Institute of Technology (Natural Science), 2003, 22(4):320-323(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-JGXB200304025.htm -
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