Chinese Journal of Lasers, Volume. 47, Issue 11, 1104003(2020)

Measurement of Elastic Constants of Metal Foils by Laser Ultrasonic Method

Chen Long1, Liu Xing1, Zhan Chao2, and Li Yang1、*
Author Affiliations
  • 1School of Mechanical and Power Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China
  • 2Zhuhai Branch, Guangdong Institute of Special Equipment Inspection and Research, Zhuhai, Guangdong 519002, China
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    Figures & Tables(15)
    Lamb wave dispersion curves in 20 μm thick Mg-Li alloy. (a) Phase speed; (b) group speed
    Calculation flow chart of mixed calculation method
    Schematic of finite element model of laser ultrasonic
    Time-domain curve and spectrum of ultrasonic wave received at 12.1 mm from surface to loading center. (a) Time-domain curve of ultrasonic wave; (b) spectrum of S0 mode
    B sweep diagram of Lamb wave in Mg-Li alloy foil
    Results of two-dimensional Fourier transform. (a) S0 mode; (b) A0 mode
    Time-domain waveforms for S0 original data or after band-pass filtering at different points
    Schematic of excitation point and measurement points on aluminum foil
    Signals received at 5 mm away from excitation point. (a) Time-domain curve of ultrasonic wave; (b) one-dimensional Fourier transformation curve of S0
    Time-domain signal received at 5 mm and 10 mm from excitation point and signal delay. (a) Time-domain signals; (b) delay time
    • Table 1. Material parameters

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      Table 1. Material parameters

      MaterialDensity /(kg·m-3)Elasticmodulus /GPaPoisson'sratioSpecific heat capacity /[J·( kg·℃)-1]Thermal conductivity /[W·( m·℃)-1]Coefficient of thermalexpansion /(10-6·℃-1)
      Mg-Li alloy1480400.324498021.8
      304 steel80001930.2950016.317.6
      6061 aluminum2700700.3390023823
    • Table 2. Group speeds of S0 and A0 modes in Mg-Li alloy foils under different Poisson's ratios when elastic modulus is 40 GPa

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      Table 2. Group speeds of S0 and A0 modes in Mg-Li alloy foils under different Poisson's ratios when elastic modulus is 40 GPa

      Poisson'sratioGroup speed of S0mode /(m·s-1)Group speed of A0mode /(m·s-1)
      0.30454571557
      0.31554781559
      0.32654991561
      0.33655191563
    • Table 3. Phase speeds of Lamb wave S0 modes at different frequencies

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      Table 3. Phase speeds of Lamb wave S0 modes at different frequencies

      Frequency /MHz123
      Phase speed /(m·s-1)5487.75487.45486.9
    • Table 4. Parameters obtained by simulation

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      Table 4. Parameters obtained by simulation

      MaterialCoupling modeFoil thickness /μmDensity of foil /(kg·cm-3)Group speed of S0mode /(m·s-1)Frequency of S0mode /MHz
      Mg-Li alloyDirect coupling2014805467.01
      304 steelDirect coupling2080005128.21
      6061 aluminumDirect coupling2027005381.11
    • Table 5. Calculated material parameters and errors

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      Table 5. Calculated material parameters and errors

      MaterialCalculated elasticmodulus /GPaError for elasticmodulus /%CalculatedPoisson's ratioError forPoisson's ratio /%
      Mg-Li alloy39.84-0.400.315-1.56
      304 steel193.050.030.287-1.03
      6061 aluminum70.080.130.3222.42
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    Chen Long, Liu Xing, Zhan Chao, Li Yang. Measurement of Elastic Constants of Metal Foils by Laser Ultrasonic Method[J]. Chinese Journal of Lasers, 2020, 47(11): 1104003

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    Paper Information

    Category: Measurement and metrology

    Received: May. 9, 2020

    Accepted: --

    Published Online: Nov. 5, 2020

    The Author Email: Yang Li (yangli@zzu.edu.cn)

    DOI:10.3788/CJL202047.1104003

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