Rajagopal P, Lowe M J S
Department of Mechanical Engineering, Imperial College London, SW7 2AZ, United Kingdom.
J Acoust Soc Am. 2007 Sep;122(3):1527. doi: 10.1121/1.2764472.
Interaction of the fundamental shear horizontal mode with through-thickness cracks in an isotropic plate is studied in the context of low frequency array imaging for ultrasonic guided wave nondestructive evaluation with improved resolution. Circular wave fronts are used and the symmetric case where a line from the wave source bisects the crack face normally is considered. Finite element simulations are employed to obtain trends subject to analytical and experimental validation. The influence of the crack length and of the location of source and measurement positions on the specular reflection from the crack face is first examined. These studies show that low frequency short range scattering is strongly affected by diffraction phenomena, leading to focusing of energy by the crack in the backscatter direction. Study of the diffraction from the crack edges reveals contributions due to a direct diffraction at the edges and multiple reverberations across the crack length. A simple diffraction model is shown to adequately represent cracks up to moderate lengths, providing an easy means of estimating the far field of the waves. The presence of multiple diffraction components is quantitatively established and surface waves on the crack face are identified as equivalent to low frequency symmetric modes of rectangular ridge waveguides.
在用于超声导波无损评估且具有更高分辨率的低频阵列成像背景下,研究了各向同性板中基本水平剪切模式与贯穿厚度裂纹的相互作用。采用圆形波前,并考虑波源发出的一条线垂直平分裂纹面的对称情况。利用有限元模拟来获得趋势,并接受分析和实验验证。首先研究了裂纹长度以及源位置和测量位置对裂纹面镜面反射的影响。这些研究表明,低频短程散射受到衍射现象的强烈影响,导致能量在反向散射方向上被裂纹聚焦。对裂纹边缘衍射的研究揭示了边缘处直接衍射以及裂纹长度上多次混响的贡献。一个简单的衍射模型被证明能够充分代表中等长度以下的裂纹,为估计波的远场提供了一种简便方法。定量确定了多个衍射分量的存在,并将裂纹面上的表面波识别为等同于矩形脊形波导的低频对称模式。