Abstract

We consider the inverse problem of reconstructing a cavity of small characteristic size in an orthotropic layer based on information about the field of layer surface displacements measured within the framework of frequency sensing. Resolving equations in the inverse problem are based on the system of boundary integral equations formulated only along the cavity boundary. In the case of antiplane oscillations, based on an asymptotic approach, we derive formulas for characterizing a small defect. Results of computational experiments are presented.

中文翻译：

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基于渐近法的小缺陷识别反问题

摘要

我们基于在频率传感框架内测得的有​​关层表面位移场的信息，来考虑在正交各向异性层中重建特征尺寸较小的空腔的反问题。反问题中的求解方程是基于仅沿腔边界制定的边界积分方程组。在反平面振动的情况下，基于渐近方法，我们得出了表征小缺陷的公式。给出了计算实验的结果。