本研究使用數值方法探討加勁土體平面應變試驗之應力應變行為、體積應變行為及加勁材料張力應變行為，以平面應變試驗結果驗證數值模型之正確性，數值方法採用二維(2D)與三維(3D)分析模式，首先建立二維分析模型，以平面應變試驗結果校正數值參數後，建立三維分析模型，三維分析模型由二維分析模型轉換(等值斷面法)而來。藉由比較二維與三維分析結果，觀察加勁材料於平面應變方向之尺寸效應對分析結果之影響，以評估二維與三維分析模式之限制及適用性。最後進行試體盒尺寸之參數分析，並以覆蓋率及強度比之方法預測複合土體強度。由數值分析結果得知，本文數值模型模擬平面應變試驗具有良好之模擬結果，以及藉由參數分析結果，可預測不同試體盒大小以及不同覆蓋率狀態下之複合土體強度，經由多組數值試驗證實，此模式有良好之預測結果。

The study discussed the stress-strain behavior and volumetric-strain behavior of reinforced soil, and the tension-strain of reinforcement at plane strain test by numerical method. The numerical model was also verified from the laboratory data of the plane strain test. The numerical method adopted the analytic model of two-dimensional (2D) and three-dimensional (3D) modes. First phase is to construct the 2D analytic model, and correct the parameters by the laboratory result of the plane strain test. Then 3D model was developed from converting the 2D analytic model to 3D version by equivalent cross-section method. The results indicated that the effect of analytic result upon the size effect of reinforcement at plane strain direction by comparing the analytic result between 2D and 3D modes, and to estimate the restriction and appropriateness of 2D and 3D analytic models. At last, changing the size of container to proceed with parameter study, and predict the strength of composite soil by the methods of cover ratio and strength ratio. The numerical analysis shows that the plane strain tests have good simulate in this research. Moreover, the different sizes of container and the different cover ratio of the strength of composite soil are predictable by results obtained from parameter study. Consequently, this method has good prediction result through the proof of many numerical tests.

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