Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I Formal solution
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I Formal solution
复制标题
正交各向异性薄弹性板裂纹引起的弯曲波的衍射。
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
I. D. Abrahams
中科院分区：
文献类型：
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作者：
I. Thompson;I. D. Abrahams
研究了无限大正交各向异性薄板中半无限裂纹对弯曲波的绕射问题。该模型可应用于飞机机翼等薄壁零件的超声无损检测。为简单起见，用Kirchhoff理论对板进行建模，并选择裂纹沿材料正交性的主要方向之一对齐。对于入射平面波，利用Wiener-Hopf技术得到了散射场的精确解析表达式。在这个模型问题中，Wiener-Hopf核是标量的，它的因式分解用简单、确定、非奇异的轮廓积分来表示。这项工作的第二部分将对解决方案进行详细的数值评估。
The problem of flexural wave diffraction by a semi-infinite crack in an infinite orthotropic thin plate is considered. Such models have application to the ultrasonic non-destructive inspection of thin components, such as aeroplane wings. For simplicity, the plate is modelled using Kirchhoff theory, and the crack is chosen to be aligned along one of the principal directions of material orthotropy. For incident plane waves, an exact analytical expression for the scattered field is derived by means of the Wiener–Hopf technique. In this model problem, the Wiener–Hopf kernel is scalar and its factorization is expressed in terms of simple, definite, non-singular contour integrals. A detailed numerical evaluation of the solution will be provided in the second part of this work.