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首页> 外文期刊>Engineering analysis with boundary elements >Elastic wave scattering by a rectangular crack near a non-planar back surface
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Elastic wave scattering by a rectangular crack near a non-planar back surface

机译：非平面背面附近的矩形裂纹引起的弹性波散射

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摘要

A 3D model of non-destructive ultrasonic testing for cracks near a non-planar back surface is presented. The scattering by an interior rectangular crack in a thick-walled component with a back surface of general geometry is considered. The 3D wave scattering problem is solved using boundary integral equation methods (BIEMs): the boundary element method (BEM) for the back surface displacement is combined with an analytical technique for the hypersingular traction boundary integral equation for the crack opening displacement. The solution method generates many unknowns, but by applying a threshold criterion a sparse approximation of the system matrix is obtained such that a fast sparse solver may be used. The computations are accelerated further using the stationary phase approximation for the computation of probe field integrals. The action of ultrasonic probes in transmission and reception, calibration by side-drilled holes and effects of material damping are taken into account in the model, and a few numerical examples illustrate the influence of the back surface geometry.
机译：提出了一种非破坏性的超声波测试的3D模型，用于非平面背面附近的裂纹。考虑到内部矩形裂缝在具有一般几何形状后表面的厚壁部件中的散射。使用边界积分方程法（BIEM）解决了3D波散射问题：将用于背面位移的边界元方法（BEM）与用于裂纹开口位移的超奇异牵引力边界积分方程的分析技术相结合。求解方法会产生许多未知数，但是通过应用阈值标准，可以获得系统矩阵的稀疏近似，从而可以使用快速稀疏求解器。使用固定相位近似法进一步加快了计算速度，以计​​算探测场积分。该模型考虑了超声波探头在发射和接收中的作用，侧面钻孔的校准以及材料阻尼的影响，一些数值示例说明了背面几何形状的影响。

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