Ultrasonic Nonlinear Response of Plate with Varying Thickness in Plastic Deformation and Experiment
Zhao Guoliang1,2, Liu Suzhen1,2, Zhang Chuang1,2, Jin Liang1,2, Yang Qingxin1
1. State Key Laboratory of Reliability and Intelligence of Electrical Equipment Hebei University of Technology Tianjin 300130 China; 2. Key Laboratory of Electromagnetic Field and Electrical Apparatus Reliability of Hebei Province Hebei University of Technology Tianjin 300130 China
Abstract：Since the propagation characteristics of ultrasound in plate with varying thickness (PWVT) are not clear, it is important to construct high-precision model of ultrasonic nonlinear response (UNR) to detect early damage on PWVT by ultrasonic nonlinearity. Based on the constitutive relationship of metal with plastic deformation, the distribution equation of plastic strain in PWVT under uniaxial tension is deduced. The model of UNR in PWVT is obtained by combining the distribution equation and the wave equation of ultrasound. The model shows that the ratio of A2 (the second harmonic amplitude) to $A_{\text{1}}^{\text{2}}$ (square of the fundamental wave amplitude), ${{A}_{\text{2}}}\text{/}A_{\text{1}}^{\text{2}}$, increases “quadratically” with the propagation distance and wave number, and ${{A}_{\text{2}}}\text{/}A_{\text{1}}^{\text{2}}$ is positively correlated with the plastic deformation at constant distance, namely, ${{A}_{\text{2}}}\text{/}A_{\text{1}}^{\text{2}}$ carries the information of plastic deformation in PWVT. The elastic-plastic model of aluminum alloy PWVT is constructed in COMSOL, which verifies the rationality of the linear equation in describing the distribution of PWVT’s plastic strain. The electromagnetic acoustic system is constructed and the effectiveness of the model of UNR is verified. In experiment, the PWVT specimens with different plastic deformation are prepared, and their propagation behaviors of ultrasound are studied by electromagnetic ultrasonic surface waves. The experimental results show that the model of UNR can describe the propagation behavior of ultrasound in PWVT accurately. This paper provides a theoretical basis for quantitative detection of plastic damage in PWVT by ultrasonic nonlinearity and a research idea for the application of ultrasonic nonlinearity to special-shaped structures.
赵国梁, 刘素贞, 张闯, 金亮, 杨庆新. 变厚板塑性形变超声非线性响应及其实验[J]. 电工技术学报, 2022, 37(20): 5092-5103.
Zhao Guoliang, Liu Suzhen, Zhang Chuang, Jin Liang, Yang Qingxin. Ultrasonic Nonlinear Response of Plate with Varying Thickness in Plastic Deformation and Experiment. Transactions of China Electrotechnical Society, 2022, 37(20): 5092-5103.
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