本研究主要針對含有裂縫之異向性岩石邊坡，分析裂縫在不同長度與位置下之應力強度因子及裂縫傳播路徑。利用異向性線彈性理論配合材料基本解、邊界積分方程式及最大張應力準則為理論基礎，藉以Fortran語言撰寫成邊界元素法分析程式，以分析等向性及異向性材料之裂縫尖端應力強度因子與裂縫傳播路徑等相關問題。為檢驗數值分析結果之可靠度，並與歷代相關文獻進行驗證，其分析結果與之相比較發現非常吻合，可成功地求得混合模態載重下裂縫尖端之應力強度因子與裂縫傳播路徑。因此本研究利用此分析程式模擬含有裂縫之異向性岩石邊坡，可依據裂縫與模型的幾何形狀模擬出可能發生破壞的滑動面，來探討裂縫在受到混合模態載重以及材料在不同異向性程度影響下之應力強度因子與傳播路徑。

In this study, a formulation of the BEM, based on the relative displacements at the crack tip, is used to determine the mixed mode SIFs of isotropic and anisotropic rocks. The BEM formulation is such that the displacement integral equation is only collocated on outside boundary and the traction integral equation is only collocated on one side of the crack surface. A decoupling technique can be used to determine at the mixed mode SIFs of isotropic and anisotropic rocks based on the relative displacements at the crack tip. Numerical examples for the determination of the mixed mode SIFs for anisotropic rocks with different crack inclination angel, crack length, and degree of material anisotropy are presented. In this study presents a fracture propagation analysis for simulation the process of slope failure. The development of the simulating failure surface is subject to the fracture propagation and stress intensity factor under mixed mode constraints.

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