在本文中，利用梅林轉換求解單一磁壓電楔形結構在施加面外剪力負載、面內電負載與磁負載下的磁電彈場解， 型態的奇異性性質在此也將被探討。經由分析發現，奇異性階數會受到磁電彈場的物理量形式和特徵方程式的影響。結果顯示，奇異性階數的強度視楔形角與邊界條件而定。當楔形結構變為一半平面時，在邊界施加均勻分佈的剪力、電位移及磁感負載，作用範圍由楔形尖端開始，其奇異性將由原先的 型態轉變為 的型態。所求得之位移、電位、磁位、應力、電位移與磁感解析解可以退化為壓電楔形結構問題與彈性楔形結構問題。

By using the Mellin transform, the singular magneto-electro-elastic (MEE) field of a wedge under antiplane shear load, inplane electrical load and inplane magnetic load is studied in this paper. The behavior of r--type singularity will also be discussed. The expressions of the physical quantities of the MEE field and the eigen-equations, which govern the singularity orders, are derived analytically in closed forms. The results show that the singularity orders depend strongly on the wedge angle and the boundary conditions. When one of the boundary edges is subjected to uniformly distributed shear force, electrical displacement and/or the magnetic induction starting from the apex of the wedge, the r--type singularity will be shifted to log(r)-type singularity if the wedge becomes a half-plane. The analytical expressions of the displacements, electrical potentials, magnetic potential, stresses, electrical displacements and magnetic inductance can be simplified to the degenerated problems such as the piezoelectric wedge problem, and the elastic wedge problem.

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