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The selection of instability criterion is particularly important when the finite element strength reduction method is used to analyze slope stability, but a consensus has not yet been reached. Based on ABAQUS finite element software, the method of total displacement mode combined with cusp catastrophe theory was proposed to judge the safety coefficient of slope. For a classical slope case, the safety coefficient was calculated by using calculation non-convergence, abrupt change of displacement of characteristic point, plastic zone penetration and abrupt change of total displacement mode as the instability criterion, and compared with Spencer method. The results show that the new criterion has a clear meaning, is less subject to human interference, has a wide range of application, and has certain advantages over the traditional three criteria.
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采用有限元强度折减法进行边坡稳定性分析时,失稳判据的选择尤为重要,但目前尚未达到共识。基于ABAQUS有限元软件,提出了总位移模联合尖点突变理论来判断边坡安全系数的方法。对某经典边坡算例,分别以计算不收敛、特征点位移突变、塑性区贯通和总位移模突变作为失稳判据计算其安全系数,并与Spencer法计算结果进行对比。结果表明,新的判据意义明确,受人为干扰因素小,适用范围广,较传统三大判据具备一定优势。
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