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arXiv 2309.04497math-phmath.MP
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界面缺陷近似分析的倒置公式形式推导

Formal derivation of an inversion formula for the approximation of interface defects by means of active thermography

CNR-IAC Sesto Fiorentino（意大利国家研究委员会应用计算研究所）；Scuola di Ingegneria Universita’ della Basilicata（巴西利卡塔大学工程学院）

Gabriele Inglese, Raffaele Inglese

备注：
the perturbative analysis in section 5 is meaningful only if the terms delta h and delta U are normalized. The correction is absolutely necessary. It implies that the evaluation of the constants (stability/instability) must be done again and carefully checked
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AI总结：

通过主动热成像技术检测界面热导扰动，利用拉普拉斯变换和抛物线微分算子对称性推导倒置公式，验证了数值反演的有效性。

摘要：

当界面受损时，双层复合导体的热特性会发生变化。本文研究了由于缺陷存在而导致的界面热导扰动的非破坏性评估。通过灯系统或激光加热样品，用红外摄像机测量其表面温度，利用拉普拉斯变换和抛物线微分算子（互易性）的适当对称性推导出倒置公式。从模拟数据进行数值反演的结果令人鼓舞。

英文摘要：

Thermal properties of a two-layered composite conductor are modified in case the interface is damaged. The present paper deals with nondestructive evaluation of perturbations of interface thermal conductance due to the presence of defects. The specimen is heated by means of a lamp system or a laser while its surface temperature is measured with an infrared camera in the typical framework of Active Thermography. Defects affecting the interface are evaluated using an inversion formula obtained by means of Laplace transformation and suitable symmetries of parabolic differential operators (reciprocity). Results of numerical inversion from simulated data are encouraging

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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