本研究主旨為探討三維疊層複材在受旋轉及自重效應下之各層間應力與位移並提出針對薄層異向性和等向性材料受慣性力時有效的模擬方法。由前人所做的相關研究成果可知，薄疊層複材常因各層間應力關係造成所謂脫膠現象，且由於其厚度極小在計算過程中會形成近似奇異積分，這些問題皆導致了數值分析上出現很多的困難。因此，本論文即提出一種有效的處理方式，乃採 FG-Squircular mapping 技術將因旋轉或自重效應所產生之邊界奇異積分做正規化， 如此一來即便複材交界面僅以極薄的膠合層去接合，我們也能用劃分較粗之網格進行有效的模擬。最後，我們提出了共六種分析範例進行探討並檢驗其相關數值的準確性，而這些範例都包含了不同的材料性質、幾何形狀或邊界條件等情境，以確保所提出的模擬方法能在多種相異情況下進行精確之分析。

The primary objective of this study is to investigate the interlaminar stresses and displacements in three-dimensional laminated composites subjected to rotational and self-weight effects, and to propose an effective simulation method applicable to both anisotropic and isotropic thin-layered materials under inertial forces. Previous research has shown that delamination phenomena often occur in thin laminated composites due to interlaminar stress interactions. Moreover, the extremely small thickness of these layers leads to the formation of nearly singular integrals during the computational process, posing significant challenges for numerical analysis.
To address these issues, this study introduces an effective approach that utilizes the FG-Squircular mapping technique to regularize the boundary singular integrals induced by rotation or self-weight effects. With this method, even when composite interfaces are bonded using extremely thin adhesive layers, accurate simulations can still be achieved using relatively coarse mesh discretization.
Finally, six numerical examples are presented to demonstrate and verify the accuracy of the proposed method. These examples encompass various scenarios involving different material properties, geometrical configurations, and boundary conditions, ensuring that the proposed simulation approach remains robust and precise across a wide range of cases.

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