Abstract This work is devoted to studying a direct and inverse scattering problem by an elliptical void in a thermoelastic layer subjected to a dynamic load. In the context of the linear theory of thermoelasticity, coupled boundary integral equations, in terms of the displacement field and temperature over the contour of the void, are formulated. By measuring the surface oscillations, over a finite-length interval on the upper surface layer, the inverse problem in one mode-frequency range is constructed. So, we have developed an efficient numerical algorithm to identify the size and position of the void in the layer. A series of numerical examples, to check the influence of the thermoelastic properties on the algorithm of detection, has been presented at different noise levels.

中文翻译：

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识别热弹性层中埋藏物的逆散射问题

摘要 这项工作致力于研究由受到动态载荷的热弹性层中的椭圆空隙引起的直接和逆向散射问题。在热弹性线性理论的背景下，根据空隙轮廓上的位移场和温度，制定了耦合边界积分方程。通过测量表面振动，在上表面层的有限长度区间内，构建了一个模式频率范围内的逆问题。因此，我们开发了一种有效的数值算法来识别层中空隙的大小和位置。已经在不同的噪声水平下提供了一系列数值示例，以检查热弹性特性对检测算法的影响。