Numerical Study On Spatial Effect Of Three Dimensional Passive Earth Pressure On Rigid Retaining Wall Under Different Displacements

For the case that the width and depth of the retaining structure in the actual project is relatively small,there is obvious three-dimensional effect of the passive earth pressure on the retaining wall.Therefore,it is very meaningful to carry out the related study work of three-dimensional passive earth pressure.First of all,a numerical mode of finite width-to-depth ratios rigid retaining wall is established in non-cohesive soil.In three displacement modes?ie,translation,rotation around the bottom and rotation around the top?,the three-dimensional passive earth pressure coefficients K_p??3D?on retaining wall,the shape and range of the soil sliding space behind the retaining wall,the distribution of horizontal passive earth pressure along the width direction of the retaining wall?ie,the Y-axis direction?and the depth direction of the retaining wall?ie,the Z-axis direction?,the influence zone of three dimensional passive earth pressure are systematically studied.The maximum ratios?_max of passive earth pressure on the retaining wall are extracted.The effect of above-mentioned required objects are analyzed respectively by the width to depth ratios b/h of retaining wall,values of soil internal friction angle?and the soil-to-wall interface friction ratios?/?in numerical mode,and the spatial effect rules of three-dimensional passive earth pressure on retaining wall are refined.The results show that:?1?In different displacement modes,the three-dimensional passive earth pressure coefficients K_p??3D?on the retaining wall decrease with the values of b/h increasing,which become larger with the values of?and?/?increasing,but the influence of the values of?/?is less than the values of?.?2?The shape of the sliding surface of the soil behind the retaining wall is affected by the values of b/h and?/?.The range of soil sliding space behind the retaining wall is influenced by the values of?and?/?,the most important influence factor is the values of?and the values of?/?take second place.The distance between the soil sliding surface behind the retaining wall with the retaining wall does not exceed 3.6 times of the height of the retaining wall.?3?In the width direction of the retaining wall,the three-dimensional horizontal passive earth pressure on the retaining wall basically increases nonlinearly.In the depth direction of the retaining wall,the three-dimensional horizontal passive earth pressure on the retaining wall basically increases nonlinearly in the T displacement mode;it is basically first linearly increased and then gradually converged in the RB displacement mode;it is basically maintained first and then basically increases nonlinearly in the RT displacement mode.?4?The influence zone,the distribution form and its distribution values of three-dimensional passive earth pressure are not affected by the change of b/h,but are affected by the change of?and?/?.However,the proportion of the retaining wall area occupied by the influence zone is significantly affected by the values of b/h.which is also influenced by the values of?and?/?.?5?Three-dimensional passive earth pressure coefficients K_p??3D?,the distribution form and its distribution value of three-dimensional passive earth pressure,the shape and range of the sliding surface of soil behind the retaining wall are affected by the self-displacement modes of retaining wall.The results can offer a reference for the study of spatial effect of three-dimensional earth pressure on retaining wall and related engineering design,and also provides a numerical basis for the theoretical calculation of three-dimensional earth pressure on retaining wall in engineering design.