The reciprocity functional method, associated to the Classic Integral Transform Technique (CITT), has been successfully applied, obtaining analytical solutions for the inverse heat transfer problem that seeks to estimate the thermal contact conductance (TCC) distribution on the interface of a body composed of two materials. Yet, the theoretical development upon which this approach is based is not limited to the need of this interface to have a regular format. This work proposes to extend the method, thus obtaining an analytical development for the estimation of the TCC distribution on interfaces which are not necessarily regular. Several test problems were solved using the techniques described in this work, leading to very good results, with low CPU time usage by the computational implementation.

中文翻译：

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使用广义积分变换技术和互易函数法估计不规则界面上的热接触电导

与经典积分变换技术 (CITT) 相关的互易泛函方法已成功应用，获得了反传热问题的解析解，该问题旨在估计由两种材料。然而，这种方法所基于的理论发展并不局限于此接口具有常规格式的需要。这项工作建议扩展该方法，从而获得用于估计不一定规则的界面上的 TCC 分布的分析发展。使用这项工作中描述的技术解决了几个测试问题，产生了非常好的结果，计算实现的 CPU 时间使用率很低。