EI、Scopus 收录
中文核心期刊
Quick Search Issue Search Advanced Search
Volume 55 Issue 9
Sep.  2023
Turn off MathJax
Article Contents
Abstract
References
Related Articles
Lyu Yan, Lin Xiaolei, Gao Jie, He Cunfu. Analysis of Lamb wave dispersion characteristics of thermoelastic anisotropic laminates based on the polynomial method. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(9): 1939-1949. DOI: 10.6052/0459-1879-23-234
Citation: Lyu Yan, Lin Xiaolei, Gao Jie, He Cunfu. Analysis of Lamb wave dispersion characteristics of thermoelastic anisotropic laminates based on the polynomial method. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(9): 1939-1949. DOI: 10.6052/0459-1879-23-234
shu

ANALYSIS OF LAMB WAVE DISPERSION CHARACTERISTICS OF THERMOELASTIC ANISOTROPIC LAMINATES BASED ON THE POLYNOMIAL METHOD

  • *.

    Faculty of Information Technology, Beijing University of Technology, Beijing 100124, China

  • †.

    Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing 100124, China

  • Received Date: June 06, 2023
  • Accepted Date: August 08, 2023
  • Available Online: August 09, 2023
    Graphical Abstract
    • Abstract
  • A theoretical model of the dispersion characteristics of ultrasonic guided waves in anisotropic laminates with temperature field is developed based on Legendre's polynomial method and Green-Nagdhi thermoelasticity theory to reveal the propagation process of ultrasonic guided waves in multilayered composites under temperature field environment. At the same time, the acoustic frequency domain simulation model of multilayer isotropic and anisotropic laminates in a temperature field environment is constructed to extract the dispersion curves of ultrasonic guided waves of the laminates at specific temperatures. The validity of the proposed theoretical method is verified by comparing the simulation data with the theoretical calculations. After that, the dispersion curves of the ultrasonic guided waves of anisotropic laminates are analyzed by taking laminates composed of unidirectional fiber materials with different layup directions as an example, and the distribution characteristics of the displacement and stress wave structure of the A0 modes at a specific frequency are analyzed in detail concerning the fiber angle of the intermediate ply at the same temperature condition. In addition, the mechanism of the influence of temperature field changes on the dispersion characteristics of ultrasonic guided waves in carbon fiber composite laminates is focused on, the shift laws of the ultrasonic guided wave fundamental modes are pointed out, and the values of the fundamental mode phase velocities at different frequencies and temperatures are listed in detail. In the end, the phase velocity temperature sensitivity change curves of multilayer anisotropic laminates are extracted by utilizing the phase velocity difference values at different temperature conditions, and the phase velocity temperature sensitivity of symmetric and antisymmetric modes at different frequencies is explored, which provides a theoretical basis for ultrasonic nondestructive testing and evaluation of the mechanical properties of multilayer composites.
    • FullText(HTML)
    • References (33)
  • [1]
    Xu YJ, Liu Y, Chen SL, et al. Current overview of carbon fiber: Toward green sustainable raw materials. BioResources, 2020, 15(3): 7234-7259 doi: 10.15376/biores.15.3.Xu
    [2]
    Adil S, Lazoglu I. A review on additive manufacturing of carbon fiber-reinforced polymers: Current methods, materials, mechanical properties, applications and challenges. Journal of Applied Polymer Science, 2023, 140(7): e53476
    [3]
    Li KM, Ni XP, Wu QQ, et al. Carbon-based fibers: Fabrication, characterization and application. Advanced Fiber Materials, 2022, 4(4): 631-682 doi: 10.1007/s42765-022-00134-x
    [4]
    He CF, Zheng MF, Lyu Y, et al. Development, applications and challenges in ultrasonic guided waves testing technology. Chin. J. Sci. Instrum., 2016, 37(8): 1713-1735
    [5]
    何存富, 孙雅欣, 吴斌等. 高频纵向导波在钢杆中传播特性的研究. 力学学报, 2016, 37(8): 1713-1735 (He Cunfu, Sun Yaxin, Wu Bin, et al. Propagation characteristics of high frequency longitudinal guided waves in steel rod. Chinese Journal of Theoretical and Applied Mechanics, 2016, 37(8): 1713-1735 (in Chinese)

    He Cunfu, Sun Yaxin, Wu Bin, et al. Propagation characteristics of high frequency longitudinal guided waves in steel rod[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 37(8): 1713-1735. (in Chinese))
    [6]
    Knopoff L. A matrix method for elastic wave problems. Bulletin of the Seismological Society of America, 1964, 54(1): 431-438 doi: 10.1785/BSSA0540010431
    [7]
    Kausel E, Roësset JM. Stiffness matrices for layered soils. Bulletin of the seismological Society of America, 1981, 71(6): 1743-1761 doi: 10.1785/BSSA0710061743
    [8]
    Kirilenko AA, Senkevich SL, Steshenko SO. Application of the generalized scattering matrix technique for the dispersion analysis of 3 D slow-wave structures. Telecommunications and Radio Engineering, 2015, 74(17): 1497-1511
    [9]
    Zheng MF, et al. State-vector formalism and the Legendre polynomial solution for modelling guided waves in anisotropic plates. Journal of Sound and Vibration, 2018, 412: 372-388
    [10]
    Gao J, Lyu Y, Zheng MF, et al. Modeling guided wave propagation in multi-layered anisotropic composite laminates by state-vector formalism and the Legendre polynomials. Composite Structures, 2019, 228: 111319 doi: 10.1016/j.compstruct.2019.111319
    [11]
    Lefebvre JE, Zhang V, Gazalet J, et al. Legendre polynomial approach for modeling free-ultrasonic waves in multilayered plates. Journal of Applied Physics, 1999, 85(7): 3419-3427 doi: 10.1063/1.369699
    [12]
    Wang XH, Li FL, Zhang XM, et al. Thermoelastic guided wave in fractional order functionally graded plates: An analytical integration Legendre polynomial approach. Composite Structures, 2021, 256: 112997 doi: 10.1016/j.compstruct.2020.112997
    [13]
    Chen T, Zhang XM, Zhou HM, et al. Characteristics of complete circumferential guided wave in a piezoelectric semiconductor cylindrical shell. Journal of Intelligent Material Systems and Structures, 2023, 34(6): 733-748 doi: 10.1177/1045389X221121910
    [14]
    王现辉, 李方琳, 刘宇建等. 板中热弹波传播: 一种改进的勒让德多项式方法. 力学学报, 2020, 52(5): 1277-1285 (Wang Xianhui, Li Fanglin, Liu Yujian, et al. Thermoelastic wave propagation in plates: an improved legendre polynomial approach. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1277-1285 (in Chinese)

    Wang Xianhui, Li Fanglin, Liu Yujian, et al. Thermoelastic wave propagation in plates: an improved legendre polynomial approach[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1277-1285. (in Chinese))
    [15]
    李妍, 何天虎, 田晓耕. 超短激光脉冲加热薄板的广义热弹扩散问题. 力学学报, 2020, 52(5): 1255-1266 (Li Yan, He Tianhu, Tian Xiaogeng. A generalized thermoelastic diffusion problem of thin plate heated by the ultrashort laser pulses. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1255-1266 (in Chinese)

    Li Yan, He Tianhu, Tian Xiaogeng. A generalized thermoelastic diffusion problem of thin plate heated by the ultrashort laser pulses[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1255-1266. (in Chinese))
    [16]
    Al-Toki MHZ, Ali HAK, Ahmed RA, et al. A numerical study on vibration behavior of fiber-reinforced composite panels in thermal environments. Structural Engineering and Mechanics, 2022, 82(6): 691
    [17]
    吴楠, 郝旭峰, 史耀辉等. 高精度碳纤维增强树脂复合材料夹层天线面板热变形影响参数仿真与实验. 复合材料学报, 2020, 7(7): 1619-1628 (Wu Nan, Hao Xufeng, Shi Yaohui. Simulation and experiment on thermal deformation influence parameters of high accuracy carbon fiber reinforced plastic sandwiched antenna panels. Acta Materiae Compositae Sinica, 2020, 7(7): 1619-1628 (in Chinese)

    Wu Nan, Hao Xufeng, Shi Yaohui. Simulation and experiment on thermal deformation influence parameters of high accuracy carbon fiber reinforced plastic sandwiched antenna panels[J]. Acta Materiae Compositae Sinica, 2020, 7(7): 1619-1628. (in Chinese))
    [18]
    Green AE, Naghdi PM. Thermoelasticity without energy dissipation. Journal of Elasticity, 1993, 31(3): 189-208 doi: 10.1007/BF00044969
    [19]
    Green AE, Naghdi PM. On undamped heat waves in an elastic solid. Journal of Thermal Stresses, 1992, 15(2): 253-264 doi: 10.1080/01495739208946136
    [20]
    Green AE, Naghdi PM. A re-examination of the basic postulates of thermomechanics. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 1991, 432(1885): 171-194 doi: 10.1098/rspa.1991.0012
    [21]
    Al-Qahtani H, Datta SK. Thermoelastic waves in an anisotropic infinite plate. Journal of Applied Physics, 2004, 96(7): 3645-3658 doi: 10.1063/1.1776323
    [22]
    Verma KL, Hasebe N. Dispersion of thermoelastic waves in a plate with and without energy dissipation. International Journal of Thermophysics, 2001, 22: 957-978 doi: 10.1023/A:1010743519828
    [23]
    Li CL, Han Q. Thermoelastic wave characteristics in a hollow cylinder using the modified wave finite element method. Acta Mechanica, 2016, 227(6): 1711-1725 doi: 10.1007/s00707-016-1578-5
    [24]
    Yu JG, Zhang XM, Xue TL. Generalized thermoelastic waves in functionally graded plates without energy dissipation. Composite Structures, 2010, 93(1): 32-39 doi: 10.1016/j.compstruct.2010.06.020
    [25]
    Yu JG, Xue TL. Generalized thermoelastic waves in spherical curved plates without energy dissipation. Acta Mechanica, 2010, 212(1-2): 39-50 doi: 10.1007/s00707-009-0238-4
    [26]
    Dodson JC, Inman DJ. Thermal sensitivity of Lamb waves for structural health monitoring applications. Ultrasonics, 2013, 53(3): 677-685
    [27]
    Gandhi N, Michaels JE, Lee SJ. Acoustoelastic Lamb wave propagation in biaxially stressed plates. The Journal of the Acoustical Society of America, 2012, 132(3): 1284-1293
    [28]
    Yang ZY, Liu KH, Zhou K, et al. Investigation of thermo-acoustoelastic guided waves by semi-analytical finite element method. Ultrasonics, 2020, 106: 106141 doi: 10.1016/j.ultras.2020.106141
    [29]
    Sharma JN, Pathania V. Generalized thermoelastic waves in anisotropic plates sandwiched between liquid layers. Journal of Sound and Vibration, 2004, 278(1-2): 383-411 doi: 10.1016/j.jsv.2003.10.010
    [30]
    Gomez Garcia P, Fernández-Álvarez JP. Floquet-bloch theory and its application to the dispersion curves of nonperiodic layered systems. Mathematical Problems in Engineering, 2015, 2015: 475364
    [31]
    Huang YH, Wu Z, Li XC. Development of simple thermal expansion coefficient measurement apparatus and its application to several materials. CIESC Journal, 2016, 67(S2): 38-45
    [32]
    王海楼, 曹淼, 孙宝忠等. 三维编织碳纤维/环氧树脂复合材料横向压缩性质的温度效应. 复合材料学报, 2018, 35(3): 607-615 (Wang Hailou, Cao Miao, Sun Baozhong, et al. Temperature effect on transverse compressive behaviors of 3D braided carbonnfiber/epox ycomposites. Acta Materiae Compositae Sinica, 2018, 35(3): 607-615 (in Chinese)

    Wang Hailou, Cao Miao, Sun Baozhong, et al. Temperature effect on transverse compressive behaviors of 3 D braided carbonnfiber/epox ycomposites[J]. Acta Materiae Compositae Sinica, 2018, 35(03): 607-615. (in Chinese)
    [33]
    Yang ZY, Wu ZJ, Zhang JQ, et al. Acoustoelastic guided wave propagation in axial stressed arbitrary cross-section. Smart Materials and Structures, 2019, 28(4): 045013 doi: 10.1088/1361-665X/aadb6e
    • Related Articles

  • Related Articles

    [1]Yue Liangbo, Wang Bing, Gu Bin. INVERSION OF LAYERED BIOLOGICAL SOFT TISSUE PROPERTIES BASED ON METHOD OF DISPERSION CURVES AND MACHINE LEARNING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2024, 56(9): 2752-2761. DOI: 10.6052/0459-1879-24-173
    [2]Zhu Jinggao, Ren Xiaodan. STUDY OF WAVE DISPERSION AND PROPAGATION IN PERIDYNAMICS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(1): 134-147. DOI: 10.6052/0459-1879-22-342
    [3]Xiu Chenxi, Chu Xihua. STUDY ON DISPERSION BEHAVIOR AND BAND GAP IN GRANULAR MATERIALS BASED ON A MICROMORPHIC MODEL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 315-328. DOI: 10.6052/0459-1879-17-420
    [4]Xie Zhinan, Liao Zhenpeng. MECHANISM OF HIGH FREQUENCY INSTABILITY CAUSED BY TRANSMITTING BOUNDARY AND METHOD OF ITS ELIMINATION——SH WAVE[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, (4): 745-752. DOI: 10.6052/0459-1879-11-312
    [5]Liangduo Shen Zhili Zou. Theoretical analysis on dispersion coefficient in wave field[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(6): 1091-1102. DOI: 10.6052/0459-1879-2011-6-lxxb2010-444
    [6]Cunfu He, Yaxin Sun, Bin Wu, Xiuyan Wang, Zenhua Liu. Propagation Characteristic of High Frequency Longitudinal Guided Waves in Steel Rod[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(4): 538-543. DOI: 10.6052/0459-1879-2007-4-2006-271
    [7]Particle dispersion in large eddy structures[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(1): 105-109. DOI: 10.6052/0459-1879-2005-1-2004-101
    [8]ALTERNATIVE FORM OF THE BOUSSINESQ EQUATIONS WITH IMPROVED LINEAR DISPERSION CHARACTERISTICS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(2): 142-150. DOI: 10.6052/0459-1879-1997-2-1995-209
    [9]MEASURING TEMPERATURE FIELD WITH THREE-STEP PHASE-SHIFTING[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(2): 253-256. DOI: 10.6052/0459-1879-1995-2-1995-431
    [10]ADAPTIVE OPEN BOUNDARY CONDITION FOR DISPERSIVE WAVES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 334-342. DOI: 10.6052/0459-1879-1993-3-1995-649

  • Cited by

    Periodical cited type(9)

    1. 符文媛，刘德仁，王旭，李建东，马玥. 非饱和黄土的水蒸气吸附特性. 土木与环境工程学报(中英文). 2025(01): 80-88 .
    2. 王昱超，姜振学，唐相路，刘晓雪，贺世杰，邵泽宇，侯泽生，侯栗丽，宋德康. 柴达木盆地三湖地区第四系七个泉组含水泥页岩气体吸附及流动能力分析. 天然气地球科学. 2023(02): 359-373 .
    3. 康毅力，赖哲涵，陈明君，侯腾飞，游利军，白佳佳，余中慧. 基于压力衰减法的页岩气体扩散系数应力敏感性实验. 天然气工业. 2022(02): 59-70 .
    4. 周龙政，蔡进功，李旭，晁静，李政. 泥页岩中水的赋存态研究进展及其意义. 地球科学进展. 2022(07): 709-725 .
    5. 石钰，杨晓娜，李树刚，严敏，双海清，薛俊华. 含水量对干酪根中多组分气体吸附和扩散的影响：分子模拟研究. 西安石油大学学报(自然科学版). 2021(04): 50-57+74 .
    6. 方思冬，孙敬，黄涛. 页岩储层压裂液返排过程中气水扩散规律模拟. 中国科技论文. 2021(09): 1004-1009 .
    7. 马天然，沈伟军，刘卫群，Xu Hao. 可压缩两相流固耦合模型的间断Galerkin有限元方法. 力学学报. 2021(08): 2235-2245 . 本站查看
    8. 邓佳，吕子健，张奇，宋付权，李久江，赵广杰. 页岩储层纳微米孔隙CO_2/CH_4吸附及驱替特性研究进展. 力学学报. 2021(10): 2880-2890 . 本站查看
    9. 杨柳，石富坤，葛洪魁，孙晓明，陈栋梁，计董超，张传庆，姜铭. 页岩储层离子扩散特征及影响因素分析. 科学技术与工程. 2020(24): 9864-9868 .

    Other cited types(7)

Catalog

    Get Citation
    PDF
    XML

    Article Metrics

    Article views (526) PDF downloads (100) Cited by(16)
    Related

    Download Center

    Author Center

    Copyright © Editorial Office of the Chinese Journal of Mechanics   京ICP备05039218号-1

    Address：15 Beishihuan Xi Lu, Haidian District, Beijing, China   China Pos：100190

    Tel：010-62536271

    Email：lxxb@cstam.org.cn

    微信公众号
    RSS

    Supported by: Beijing Renhe Information Technology Co., Ltd.  Baidu Analytics

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return