• Chinese Journal of Lasers
  • Vol. 47, Issue 11, 1104003 (2020)
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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    DOI: 10.3788/CJL202047.1104003 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Lamb wave dispersion curves in 20 μm thick Mg-Li alloy. (a) Phase speed; (b) group speed
    Fig. 1. Lamb wave dispersion curves in 20 μm thick Mg-Li alloy. (a) Phase speed; (b) group speed
    Calculation flow chart of mixed calculation method
    Fig. 2. Calculation flow chart of mixed calculation method
    Schematic of finite element model of laser ultrasonic
    Fig. 3. 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
    Fig. 4. 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
    Fig. 5. B sweep diagram of Lamb wave in Mg-Li alloy foil
    Results of two-dimensional Fourier transform. (a) S0 mode; (b) A0 mode
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. 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
    Fig. 9. 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
    Fig. 10. Time-domain signal received at 5 mm and 10 mm from excitation point and signal delay. (a) Time-domain signals; (b) delay time
    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 1. Material parameters
    Poisson'sratioGroup speed of S0mode /(m·s-1)Group speed of A0mode /(m·s-1)
    0.30454571557
    0.31554781559
    0.32654991561
    0.33655191563
    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
    Frequency /MHz123
    Phase speed /(m·s-1)5487.75487.45486.9
    Table 3. Phase speeds of Lamb wave S0 modes at different frequencies
    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 4. Parameters obtained by simulation
    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
    Table 5. Calculated material parameters and errors
    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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