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非连续变形分析(DDA)是一种满足平衡方程收敛、不连续接触的开闭迭代收敛和静力计算中的最大容许位移收敛的极限平衡计算新方法。尝试将二维矢量和法引入DDA中,并结合DDA动力迭代和接触力计算的具体特点,提出适合DDA的滑动方向与安全系数的计算方法;在此基础上,以滑动面为直线型和圆弧型的滑坡为例,通过对比理论解或刚体极限平衡解,证明基于矢量和–DDA方法计算滑坡安全系数的正确性。矢量和–DDA方法不仅基于滑坡真实的应力场计算安全系数,而且其沿滑动面对下滑力与抗滑力的积分力学意义明确,反映了“滑动”的矢量内涵。
The discontinuous deformation analysis (DDA) is a new method of limit equilibrium calculation that satisfies the maximum allowable displacement convergence in the closed-loop iterative convergence and discontinuous contact equilibrium equations and the static calculation. At the same time, this paper attempts to introduce two-dimensional vector summing method into DDA. According to the characteristics of DDA kinetic iteration and contact force calculation, the calculation method of sliding direction and safety factor is put forward based on DDA. On this basis, Arc landslide is taken as an example, and the correctness of the landslide safety coefficient is proved based on the vector and -DDA method by comparing the theoretical solution or rigid body limit equilibrium solution. The vector-and-DA method not only calculates the safety factor based on the real stress field of the landslide, but also expresses the integral mechanics meaning of sliding force and sliding force along the sliding surface, which reflects the vector connotation of “sliding ”.