基于加速度计算边坡的安全系数

边坡稳定分析是土力学的经典课题之一，人们提出了很多计算边坡安全系数的方法。理论上，采用有限元法可以得到计算域内任意点的应力，比需要刚体假定的常规极限平衡法有更大的优越性。但如何利用有限元成果计算边坡的安全系数还有许多不足。通过引入加速度的概念，提出了基于加速度计算边坡安全系数的新的方法，即选择不同的强度折减系数，使得加速度的模最小的值就是对应的安全系数。这种思路概念上比较严密，且适用性更强。算例计算也表明了它能够得到满意的结果。

Acceleration-based approach to calculation of safety factors of slopes

Slope stability analysis is a classic topic in soil mechanics, and many methods have been developed to calculate the safety factors of slopes. Theoretically, the finite element method can obtain the stress at any point in the computational domain, and thus it is more advantageous in stability analysis than the conventional limit equilibrium method which requires rigid body assumption. However, there still exist several shortcomings in how to use the finite element results to calculate the safety factor of a slope. In this paper, we introduce the concept of acceleration and develop a new acceleration-based approach to calculation of the safety factors of slopes. That is, among different strength reduction factors, the one that minimizes modulus of acceleration is thought to be the corresponding safety factor. This idea is more rigorous and more applicable, and examples show that it can give satisfactory results in calculating the safety factor of slopes.