本論文提出了新的邊界元素法，解決異向性複材疊層板之伸縮-彎矩偶合問題。利用異向性彈性力學的史磋方程式，可以獲得異向性複材疊層板的伸縮-彎矩偶合問題之位移與曳引力基本解。此外，可根據貝蒂互換定律，推得伸縮-彎矩偶合問題之邊界積分方程式。爾後，此類問題的邊界元素方程式如是建立。本論文研究目標不止關注在面積分與角點力的處理上，還包括對於邊界源點所在位置造成之影響進行討論。為了呈現本方法的精確度與效率，數值結果包括與正解和目前可用以比較之商用軟體模擬結果作驗證。其結果顯示本論文新發展之邊界元素法，對處理伸縮-彎矩偶合問題，具備高效率與高準確率之特色。

A new algorithm has been developed to deal with the bending-stretching coupling problems of layered anisotropic plates in this thesis. By employing Stroh-like formalism for anisotropic elasticity, the fundamental solutions of displacements and tractions for the bending-stretching coupling analysis of composite laminates have been obtained. Moreover, according to the reciprocal theorem of Betti and Raleigh, the boundary integral equations for the bending-stretching coupling analysis have also been derived. Thus, the boundary element formulation for the bending-stretching coupling analysis of composite laminates is established. The aim of this thesis is focused not only on the treatment of the domain integrals and corner force, but also the position of boundary source points. Numerical results are demonstrated to show the accuracy and efficiency by comparing with either the exact solutions or with results from alternative numerical techniques. The present BEM algorithm is found to be efficient and accurate for the bending-stretching coupling analysis.

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