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中文摘要：
Baker提出的非线性破坏准则是一种广义的岩土体强度准则，常规的M-C强度准则、格里菲斯强度准则以及Hoek—Brown强度准则均为其特例。该准则通过大量的三轴试验引入无量纲强度参数A，n和T，其中A为尺度参数用于控制剪切强度的大小；n为准则曲线的次数用于控制曲率；T为转换参数用于控制准则曲线与σ轴的位置，并反映其无量纲拉伸强度。以Baker非线性强度准则为基础，以极限分析上限法为工具，采用“切线法”思想研究了静、动荷载下边坡的稳定性，将边坡的稳定性问题转化为含多变量的数学优化问题，并给出其最优解。通过算例分析，研究了非线性强度参数对边坡稳定系数与屈服加速度系数的影响。结果表明：边坡稳定系数随无量纲参数A，T的增大而增大；边坡屈服加速度系数随坡高、坡角的增加而降低。
英文摘要：
The non-linear failure criterion proposed by Baker is a generalized geotechnical strength criterion, and the conventional criterion such as M-C, Griffith and Hoek-Brown strength criteria are all special cases of it. The criterion introduced three non-dimensional parameters A, n, T which can be obtained through triaxial tests, and have clear physical significance. Specifically, A is a scale parameter controlling the magnitude of shear strength, T is a shift parameter controlling the location of the criterion curve and o＇-axis and representing a non-dimensional ten- sile strength, and n controls the curvature of the envelope. Here, based on the Baker criterion, we studied the slope dynamic and static stability using upper bound theorem, transferred the problem to a mathematical optimiza- tion problem in a multi-variables expression, and gave the optimal solutions. Then, the influence of the nonlinear strength parameters on slope stability factor and yield acceleration factor are studied through an example. The re- sults show that the slope stability factor increases with the increase of non-dimensional parameters A and T, and the yield acceleration factor decreases with the increase of slope height and slope angle.
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