Abstract This paper presents solutions and comparisons for guided wave motion (Lamb and shear horizontal) due to tensile and shear cracks in an isotropic plate using elastodynamic reciprocity. Cracks are treated as point sources, which for the ease of wave motion analysis have equivalent body force representations. The paper then outlines the use of elastodynamic reciprocity for obtaining the wave motion due to equivalent body forces for tensile (Mode I) and shear (Mode II or III) cracks. A far-field analysis is subsequently performed in order to simplify the results and facilitate a direct comparison of guided mode excitability due to the three cracking modes. A parametric study in an aluminum plate is carried out for the dependence of guided mode excitability on frequency, crack depth, and propagation direction. The study reveals the intricate frequency and depth dependence of the excitability for various fundamental and higher-order modes. Although tensile cracking exhibits complex Lamb mode radiation patterns, a simple and universal closed-form expression is derived for the low-frequency limit (

中文翻译：

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使用弹力互易性在板中裂纹引起的导波运动和模态可激发性

摘要 本文利用弹性动力互易性，提出了各向同性板中由于拉伸和剪切裂纹引起的导波运动（Lamb 和剪切水平）的解决方案和比较。裂缝被视为点源，为了便于波浪运动分析，裂缝具有等效的体力表示。然后，该论文概述了使用弹性动力学互易性来获得由于拉伸（模式 I）和剪切（模式 II 或 III）裂纹的等效体力而产生的波浪运动。随后进行远场分析，以简化结果并便于直接比较由于三种裂纹模式引起的导模可激发性。对铝板进行参数研究，研究导模可激发性对频率、裂纹深度和传播方向的依赖性。该研究揭示了各种基本模式和高阶模式的可激发性的复杂频率和深度依赖性。尽管拉伸裂纹表现出复杂的兰姆模式辐射模式，但对于低频极限（