The formulation of yield acceleration of the reinforced earth retaining walls is given by the upper bound method of limit analysis.

Each analytical expression in the article is derived that is enable one to conveniently calculate the reinforcement force required to prevent failure and the yield acceleration of slopes subjected to earthquake loading,and is applied conveniently for evaluating the parameters of the earthquake-induced permanent displacement and stability analysis using Newmake\'s sliding block method.

Calculations are conducted by applying the kinematic theorem of limit analysis,and each analytical expressions are derived that enable one to conveniently calculate the reinforcement force required to prevent failure and the yield acceleration of slopes subjected to earthquake loading.

Refined Newmark sliding method based on average yielding acceleration

Comparing the conventional reliability results with the reliability results with considering the spatial variability of soil parameters,a conclusion is drawn that the horizontal seismic acceleration,soil parameters and spatial variability have significant impact on the slope stability.

With the exceeding probability curve of seismic acceleration,the expression of the curve can be obtained by curve fitting method,and also the probability density function of the seismic acceleration is obtained.