本研究探討了具有不完美介面磁電複合材料與時間相依的磁電耦合行為，透過層板 式的結構將磁致伸縮材料與壓電材料結合，所組成的層板磁電複合材料，由兩種材 料之間相互作用所引起的磁電耦合行為也被廣泛運用於各種設備中。在壓電材料之 中，柔性壓電陶瓷與壓電聚合物表現出與時間相依的行為，為了解決此問題，使用 了兩種數學方法來處理與時間相依的本構方程 。再來為了使壓電材料與磁致伸縮材 料組合成一體，經常使用的方法是使用黏合劑將兩者連接在一起，然而這會導致在 複合材料的介面處會產生不連續，為了更貼近實際的情形，使用了二次均質化的過 程，將此介面層的影響納入考量。為了預測複合材料的有效響應，使用了 simplified unit-cell 的微觀力學模型，先將磁致伸縮材料與介面層進行一次均質化，再將均質化 後的材料與壓電材料進行第二次均質化。為了驗證模型的可行性，與過去文獻中的 實驗數據進行了比對，另外使用第二種 Mori-Tanaka 微觀力學模型，來處理相同的問 題，並討論了不同的參數研究，包含磁致伸縮材料的體積分率、介面層的含量以及 施加的負載類型。

This study explores the time-dependent magnetoelectric behavior of magnetoelectric composite with imperfect interfaces. Magnetostrictive materials and piezoelectric materials are combined through a laminate structure. The magnetoelectric coupling behavior caused by the interaction between two materials is also widely used in various devices. Among piezoelectric materials, flexible piezoelectric ceramics and piezoelectric polymers exhibit time-dependent behavior. To solve this problem, two mathematical methods are used to deal with time-dependent constitutive equations. Next, in order to combine the piezoelectric material and the magnetostrictive material into one, the often-used method is to use an adhesive to connect the two together. However, this will cause discontinuities at the interface of the composite material. To be closer to reality, in this case, a secondary homogenization process is used to take the influence of this interface layer into consideration. To predict the effective response of the composite material, a simplified unit-cell micromechanical model is used. The magnetostrictive material and the interface layer are first homogenized, and then the homogenized material and the piezoelectric material are homogenized a second time. In order to verify the feasibility of the model, comparisons were made with experimental data in the past literature. In addition, a second Mori-Tanaka micromechanical model was used to deal with the same problem, and different parameter studies were discussed, including volume fraction of magnetostrictive material, interface layer content, and the type of load applied.

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