本文旨在研究半平面異向性裂紋體塑性區大小之評估，應用Dugdale model理論來評估塑性區大小，文中異向性彈塑性裂紋體乃利用差排密度來模擬，以差排密度為未知數建立奇異積分方程組，並藉由Gerasoulis數值方法求解差排密度近似解。數值分析中，針對不同邊界條件，探討裂紋深度、加載外力、裂紋傾斜角與異向性程度對塑性區大小之影響。

The main purpose of this study is to estimate the plastic zone size of the cracked half-plane anisotropic problem by using the Dugdale model. The elastic-plastic half-plane cracked anisotropic solid is modeled by distributed dislocation density which leads to a system of singular integral equations. Furthermore, These equations are solved by Gerasoulis numerical method . The effects of crack depth, loading, crack inclination angle and the degree of anisotropy as well as different boundary conditions on the plastic zone size are analyzed.

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