本研究分別提出simplified unit-cell與Mori-Tanaka微觀力學模型，用於分析經歷較大驅動磁場作用下的磁致伸縮與磁電複合材料(智能複合材料)整體有效非線性響應和性能。此研究主要目的為透過微觀力學模型分析具有不同連續性的智能複合材料有效非線性響應和特性，進一步解釋與提供分析結果給設計包含這些智能複合材料的設計者，此外設計者還可以透過使用本研究提出的微觀力學模型來調整和模擬智能複合材料的最佳有效耦合效應，從而在複合材料前端開發中設計出性能優異的智能複合材料。研究過程中，首先將非線性本構方程式代入線性微觀力學關係式上，並通過迭代方法最小化殘餘向量後，定義出concentration tensor，其次，模擬出智能複合材料的整體有效非線性耦合響應與特性，並將分析結果與文獻所提供的實驗量測值進行相對誤差分析，最後，進行參數研究，探討智能複合材料在不同體積分率、驅動磁場與異質物幾何形狀對非線性耦合響應的影響。由參數研究可得知，simplified unit-cell與Mori-Tanaka微觀力學模型分析結果有良好的一致性，且透過實驗驗證與參數研究結果可發現，智能複合材料的非線性響應探討是重要且不可避免。

This study presents the simplified unit-cell and Mori-Tanaka micromechanics models to analyze overall effective nonlinear responses and properties of magnetostrictive and magnetoelectric composites (intelligent composites) undergoing the large applied field. The study aims are to simulate the nonlinear responses and properties with different connectivity smart composites by micromechanical models and further provide the estimated results for designers who design products containing these intelligent composites. Moreover, the designers can also adjust and simulate the best multiphysics coupling effect of intelligent composites by the micromechanical models proposed in this study to design the excellent performance smart composites at composite front-end development. The study processes are the imposition of nonlinear constitutive relations on the linearized micromechanical equations at first, then minimize residual vector by an iterative method and define concentration tensor. Secondly, estimate the overall effective nonlinear coupling responses and properties of the composites, and validate the prediction results with experimental measurement values in literature. Finally, discuss the nonlinear responses effect of different inhomogeneity material volume fraction, driving magnetic field, and the reinforcement material geometry by parametric studies. It can find that the simulation of simplified unit-cell and Mori-Tanaka micromechanics models have good agreements by parametric studies. Besides, the experimental validation and parameter studies further illustrate that investigated nonlinear responses of smart composites are inevitable.

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