偶合異向性彈性力學的延伸類史磋公式，可以利用矩陣維度擴充的便利與規律性，將原先僅能用於彈性材料，延伸應用到壓電材料與磁電彈材料皆能同時使用的通解，接著利用邊界元素法，並找出磁電彈材料無限板的基本解，使彈性、壓電與磁電彈材料都能使用相同基本解來處理無限板的問題，而不需要重新尋找各別材料的基本解。由於多數商業軟體僅能處理彈性複材疊層板的偶合問題，藉由擴充完之方程式編寫進本師門研發之異向性彈性力學分析軟體AEPH中，進而讓程式能利用邊界元素法來處理磁電彈複材疊層板與偶合相關的問題。
最後利用商業軟體ANSYS、史磋公式解析解法及二維邊界元素法，分別處理對稱/非對稱彈性、壓電和磁電彈複材疊層板受軸向均佈拉伸或均佈面外彎矩，經由比對與分析其物理特性，來證明本方法的正確性。

On the basis of the convenient and regular features that extended Stroh-like formalism for coupled-stretching-bending anisotropic elasticity can be extended from the elastic material to the piezoelectric and magneto-electro-elastic materials by expanding the related matrix dimension. Through the boundary element method, the fundamental solution for the magneto-electro-elastic material infinite plate can be found, the elastic, piezoelectric and magneto-electro-elastic materials can also employ the same fundamental solution without finding solutions individually at the same time. Because of the most commercial software only can solve elastic composite laminates coupled-stretching-bending problem, our research group develop the structure engineering analysis software, AEPH, which can apply boundary element method to solve the magneto-electro-elastic material coupled-stretching-bending problem. To verify the correctness of this method, the elastic, piezoelectric and magneto-electro-elastic symmetric/unsymmetric plate under the axial distributed tension or out of plane bending, are presented and compared with the commercial software, ANSYS, Stroh analytical solution and two dimension boundary element method.

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