Based on the high-order moment method

the reliability analysis method on crack resistance of CRTS Ⅱ track slab is proposed. Firstly

the mechanical model of CRTS Ⅱ slab ballastless track under vertical train load is established by using ANSYS finite element software

and the performance function of crack resistance of track slab is established by considering the effect of lateral train load and gradient temperature . Then

the first four moments of the implicit function considering the effect of vertical load are solved by combining the two-dimensional point estimation method with the structural finite element analysis. Finally

the first four moments of the performance function of anti-cracking are calculated according to the Monte-Carlo simulation method

and the reliability index of the performance function is estimated based on the high-order moment method. A numerical example shows that relative error between the result of proposed method and Monte-Carlo simulation results is less than 5%. The reliability index estimated by the proposed method is 4.63

which satisfies the requirement of the code. The proposed method has the advantages of simplicity

effectiveness and fewer simulation times

and it provides an efficient and reasonable tool for reliability analysis of crack resistance of CRTS Ⅱ track slab under implicit function condition.