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Characterization of Microcrack Orientation Using the Directivity of Secondary Sound Source Induced by an Incident Ultrasonic Transverse Wave

机译：用事件超声波横向波引起的次级声源指向性表征微裂纹取向

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摘要

In this paper, characterization of the orientation of a microcrack is quantitatively investigated using the directivity of second harmonic radiated by the secondary sound source (SSS) induced by the nonlinear interaction between an incident ultrasonic transverse wave (UTW) and a microcrack. To this end, a two-dimensional finite element (FE) model is established based on the bilinear stress–strain constitutive relation. Under the modulation of contact acoustic nonlinearity (CAN) to the incident UTW impinging on the microcrack examined, the microcrack itself is treated as a SSS radiating the second harmonic. Thus, the directivity of the second harmonic radiated by the SSS is inherently related to the microcrack itself, including its orientation. Furthermore, the effects of the stiffness difference between the compressive and tensile phases in the bilinear stress–strain model, and the UTW driving frequency, as well as the radius of the sensing circle on the SSS directivity are discussed. The FE results show that the directivity pattern of the second harmonic radiated by the SSS is closely associated with the microcrack orientation, through which the microcrack orientation can be characterized without requiring a baseline signal. It is also found that the SSS directivity varies sensitively with the driving frequency of the incident UTW, while it is insensitive to the stiffness difference between the compressive and tensile phases in the bilinear stress–strain model and the radius of the sensing circle. The results obtained here demonstrate that the orientation of a microcrack can be characterized using the directivity of the SSS induced by the interaction between the incident UTW and the microcrack.
机译：在本文中，使用由入射超声波横向波（UTW）与微裂纹之间的非线性相互作用引起的二次声源（SSS）的二次声源（SSS）的辅助辐射的指导性来定量地研究微裂纹的表征。为此，基于双线性应力 - 应变构成关系建立二维有限元（FE）模型。在接触声非线性（CAN）的调制下，在检查微裂纹上的入射UTW的情况下，微裂纹本身被视为辐射第二次谐波的SSS。因此，SSS辐射的第二次谐波的方向性与微裂纹本身有关，包括其取向。此外，讨论了双线性应力 - 应变模型中的压缩和拉伸相之间的刚度差的影响，以及SSS方向性对SSS方向性的UTW驱动频率以及传感圆的半径。 Fe结果表明，SSS辐射的二次谐波的方向性模式与微裂纹取向密切相关，微裂纹取向可以在不需要基线信号的情况下表征。还发现SSS指向率随着入射UTW的驱动频率而变化，而对双线性应力 - 应变模型和传感圆的半径的压缩和拉伸相之间的刚度差异不敏感。这里获得的结果表明，微裂纹的取向可以使用由入射UTW和微裂纹之间的相互作用引起的SS的方向性表征。

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