Rectangle piles have been widely used to stabilise problematic slopes with typically non-linear plastic deformation behaviour. This paper introduces analytic solutions to soil arching effect based on the slope soil and piles interaction. In view of stress condition of the passive piles subjected to the lateral force, the stress expression of arbitrary point of the soil behind the piles is derived from soil mechanics, elastic and plastic theories, and the mechanical model of soil arch is built. Stress isoline distribution of soil arch is found to be hyperbolic, shoulder expansion arch, saddle and domal. After the influence factors on soil arching effect are discussed in detail, the governing equation of maximum pile spacing is established based on the Mohr-Coulomb theory of soil shearing strength. Finally, a practical case of slope prevention engineering is given for the design of pile spacing to verify the rationality of analytic solution.

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Based on the principle of reducing shear strength of rock materials, a rock slope stability with different constitutive models of rock materials is performed by using finite element method. The safety factor of rock slope stability is computed based on convergence property of elastic-plastic numerical simulations by reducing shear strength of rock materials until the numerical computing is divergent or plastic zone is connected. Three kinds of Drucker-Prager yield criterions with different yield surfaces are utilized to investigate the influence of yield criterions with different yield surfaces to safety factor of rock slope stability. The investigation shows that the computed safety factors of rock slope stability by using Drucker-Prager yield criterions with different yield surfaces are approximately equal. The maximum relative error for safety factors is less 10% by using different Drucker-Prager yield criterions.