CAJ | 학술논문

上限有限元法是一种常用的边坡稳定性分析方法，目前被广泛采用的仅考虑剪切破坏的 Mohr-Coulomb 屈服准则过高地估计了边坡的抗拉强度，因此在用其进行边坡稳定性分析时，无法得到实际工程中常遇到的位于坡体后缘的拉裂缝。针对这一问题，从空间方位离散的角度出发，对上限法中的 Mohr-Coulomb 屈服面逼近方式进行改造，建立基于方位离散的线性化剪切屈服准则；同时引入张拉破坏准则，保证在每一个离散方位平面上不违背张拉破坏准则，从而形成既考虑张拉破坏，又考虑剪切破坏的线性化上限原理有限元法。该方法可以准确地求出边坡的安全系数和带有拉裂缝的临界失稳速度场。算例证明方法的有效性，同时还表明不考虑拉伸破坏会过高地估计边坡的安全性。
상한유한원법시일충상용적변파은정성분석방법，목전피엄범채용적부고필전절파배적 Mohr-Coulomb 굴복준칙과고지고계료변파적항랍강도，인차재용기진행변파은정성분석시，무법득도실제공정중상우도적위우파체후연적랍렬봉。침대저일문제，종공간방위리산적각도출발，대상한법중적 Mohr-Coulomb 굴복면핍근방식진행개조，건립기우방위리산적선성화전절굴복준칙；동시인입장랍파배준칙，보증재매일개리산방위평면상불위배장랍파배준칙，종이형성기고필장랍파배，우고필전절파배적선성화상한원리유한원법。해방법가이준학지구출변파적안전계수화대유랍렬봉적림계실은속도장。산예증명방법적유효성，동시환표명불고필랍신파배회과고지고계변파적안전성。
The upper bound finite element method is one of the commonly used methods for slope stability analysis. Since the Mohr-Coulomb shear yield criterion which is widely used overrates the tension strength,the tensile cracks cannot be get at the rear of the slope when using it for slope stability analysis. In order to solve this problem,the yield surface approximation method of the upper bound finite element method was remolded. From the viewpoint of discrete spatial orientation the plastic flow constraint equation on the discrete directions can be built easily,and by introducing the tension damage to the upper limit method,each azimuth plane was satisfied the tensile failure criteria,and then the linearized upper bound finite element method considering both tension and shear failures can be established. This method can be used to calculate the safety factor of slope and get the critical velocity field with tensile crack. A few of examples prove the effectiveness of this method.