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Calculation of propagation properties of Lamb waves in a functionally graded material (FGM) plate by power series technique

机译:利用幂级数技术计算Lamb波在功能梯度材料(FGM)板中的传播特性

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摘要

To investigate the propagation behavior of Lamb waves in a thermal stress relaxation type functionally graded material (FGM) plate with material parameters that vary continuously along the thickness, the power series technique, which has been proved to have good convergence and high precision, is employed for theoretical derivations. The influence of the gradient coefficients of FGM on the dispersion curves is illustrated. The numerical results also reveal differences between the properties of Lamb wave propagation in the FGM plate and the corresponding properties in a homogenous plate. In terms of results, we find that both the normal and anomalous dispersions exist in the first and the second modes of the Lamb wave that propagates in the FGM plate, while only the anomalous dispersion is in the first mode and only the normal dispersion is in the second mode for the homogenous plate. The wave structure is asymmetric due to the asymmetric properties of the material. The dominance of in-plane and out-plane displacements is different between the metal-rich and ceramic-rich surfaces. All these results give theoretical guidance not only for experimental measurement of material properties but also for nondestructive evaluation using an ultrasonic wave generation device.
机译:为了研究Lamb波在材料参数沿厚度连续变化的热应力松弛型功能梯度材料(FGM)板中的传播行为,采用了幂序列技术,该方法具有很好的收敛性和高精度。用于理论推导。说明了FGM梯度系数对色散曲线的影响。数值结果还表明,FGM板中的兰姆波传播特性与均匀板中的相应特性之间存在差异。根据结果​​,我们发现在FGM板中传播的兰姆波的第一和第二模态中都存在正态和反常色散,而在第一模态中只有反常色散,而在FGM板中只有正态色散。均质板的第二种模式。由于材料的不对称特性,波结构是不对称的。富含金属的表面和富含陶瓷的表面之间的平面内和平面外位移占优势。所有这些结果不仅为材料性能的实验测量提供了理论指导,而且还为使用超声波发生装置的无损评估提供了理论指导。

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