本文研究單一分量表面波於橫向等向性磁電彈材料之傳播行為。文中首先介紹廣義Stroh與廣義Lekhnitskii公式，其次應用兩種方法推導橫向等向性磁電彈材料的 矩陣元素之顯示；文中進一步利用Lekhnitskii公式推導穩態問題之下的特徵關係。由此關係探討單一分量表面波於半平面橫向等向性磁電彈材料傳播的條件，最後針對鈦酸鋇與四氧二鐵鈷之複合磁電彈材料(BaTiO3-CoFe2O4)討論單一分量表面波傳播的可能性。

This thesis is to investigate one-component surface waves propagating in transversely isotropic magneto-electro-elastic materials. It is known that one-component surface wave exists for certain special anisotropic elastic materials. To investigate whether one-component surface wave exists in magneto-electro-elastic materials and the corresponding conditions for the existence, the explicit expressions of matrix for magneto-electro-elastic materials are derived for static problems. Furthermore, the steady state eigenvalue system for the Lekhnitskii formalism is also established in this thesis. Finally, the conditions derived for the existence of one-component surface waves are discussed by an example for BaTiO3-CoFe2O4 material.

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