本論文研究主要在探討三維疊層融入薄板之複合材料在受到熱傳及熱彈等等的熱效應時各層間的溫度、應力、應變和其熱疲勞壽命的表現，並提出關於薄層等向性材料在受到熱效應時的有效模擬方法。根據前研究者所記錄的相關研究結果可以得知，薄疊層板複合材料常因各層之間的應力關係造成所謂脫膠的現象，由於疊層厚度極薄的關係，因此在計算及分析數值的過程中會出現近似奇異的積分，這個問題導致在最後結果的分析上存在些許的困難及挑戰。針對這一問題的解決辦法，本論文採用了一種 FG-Squircular mapping的映射技術，將因熱效應所產生之邊界奇異積分做正規化，詳細方法是利用將局部固有座標的正方形域映射到單位圓上，以在極座標系統下進行積分，成功減少了積分函數的奇異性。最後，我們提出了四個不同範例進行分析討論，這些範例包含了不同材料和邊界條件，以多加確認所提出的方法是否能夠在多種情況下進行精準的分析。

This study investigates the thermal response of 3D laminated composite plates under heat conduction and thermoelastic effects, focusing on interlayer temperature, stress, strain, and thermal fatigue life. An effective simulation method is proposed for thin isotropic layers under thermal loads. Due to high interlayer stress, delamination often occurs, and the extremely thin layers lead to nearly singular integrals during analysis. To address this, the FG-Squircular mapping technique is used to normalize boundary singularities by mapping a local square domain to a unit circle in polar coordinates, effectively reducing singular behavior. Four cases with varying materials and boundary conditions are analyzed to verify the method’s accuracy.

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