這篇研究討論了磁致伸縮混和複合材料與時間相關的非線性響應，混和複合材料可以
有效的提升整體複合材料的性質，並且採用黏彈性的基材以對於時間相關的探討。過
程中，將會使用加強材Terfenol-D(纖維), CoFe2O4 (顆粒)和基質材料HDPE，針對這
三種材料會分別使用不同的本構方程式。再來利用hybrid unit-cell 的微觀力學模型進
行模擬，模擬過程先將顆粒嵌入基材中形成新的基材接著再加入纖維製備成混和複合
材料。對於混和複合材料不同的特性與過去文獻的實驗相做比對，去確認模擬的可行
性，接著再進行循環磁場加載下與時間相關的非線性響應，並且討論了不同的參數研
究，像是邊界條件，加強材體積分率，磁場加載率，預應力，溫度和ΔE效應。然後發
現隨著顆粒的增加可以提升整體複合材料的剛性，並且黏彈性基材也透過微觀力學關
係進而導致了與時間相關的磁彈耦合的效應。

This research discusses the time-dependent nonlinear response of magnetostrictive hybrid composite materials. The use of hybrid composites effectively enhances the overall properties of composite materials, incorporating viscoelastic matrices to study their time-dependent behavior. In this process, three different materials are employed: the reinforcing materials Terfenol-D (fiber) and CoFe2O4 (particle), and the matrix material HDPE. Each of these materials is characterized using different constitutive equations. Simulations are conducted using a hybrid unit cell micromechanical model. Initially, particles are embedded
into the matrix to form a new composite material. Then, fibers are added to prepare the hybrid composite material. To validate the simulation results and ensure their feasibility, a comparison is made between the characteristics of the hybrid composite material and experimental data from previous literature. Subsequently, the time-dependent nonlinear response under cyclic magnetic field loading is examined, considering various parameters such as boundary conditions, volume fraction of reinforcing materials, loading rate of the magnetic field, prestress, temperature, and ΔE effect. It is observed that increasing the particle content enhances the overall stiffness of the composite material, and the viscoelastic matrix exhibits a magnetic-elastic coupling effect in relation to time through microstructural mechanics.

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