由於在工程界的廣泛應用，薄層介質對複材上的熱傳效應一直是重要的研究題目。而當在薄層幾何體上相對表面非常接近時，會發生源點逼近邊界元素的情形，也就是將產生眾所皆知的近似奇異積分問題(nearly singular integration)，造成無法正確計算數值積分，便無法分析薄層複材上的熱傳效應。因此，薄層介質的存在通常都被忽略掉。本論文介紹兩個不同方法來處理薄層介質。第一個方法是弱化邊界積分上的近似奇異積分。第二個方法是使用熱傳導係數來代替薄層介質的存在。利用修改完成的邊界元素法程式來分析不同形狀的範例。

Due to its extensive applications in engineering world, heat transfer analysis of thin layered anisotropic has always been an important research topic. For the analysis, conventional numerical methods face different difficulties when the thickness of the component is very thin. Hence, modeling thin adhesive or interstitial media usually is being ignored in conventional analysis. In this paper, two different boundary element approaches are presented to model thin adhesive or thin interstitial media. The first model is to weaken the singularity of the nearly singular boundary integrals. The second model is to implement conductance model without treating the thin interstitial media. All formulations have been implemented with illustrations of a few benchmark examples in the end.

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