Analytical Method of Elastic-Plastic Subgrade Reaction for Buried Pipeline under the Action of Landslide
The analytical calculations of buried pipeline in the landslide section of elastoplastic soils are relatively few at present.In order to study the nonlinear characteristics of the contact between buried pipeline and the soil in landslide section,based on the subgrade reaction method,the simplified elastic-plastic constitutive relation of the pipeline-soil was adopted to simulate the nonlinear pipeline-soil interaction,a set of governing equations based on the elastic-plastic subgrade reaction method were devised to describe the buried pipeline-soil interaction.According to the continuity condition and boundary condition of pipeline deformation,the analytical solutions of the pipeline deflection and internal force are obtained.The reliability of the method was verified by the comparative analysis of the example.The influence of the coefficient of subgrade reaction on pipeline deformation and inter-nal force was discussed by selecting different parameters.The results show that the maximum deflection,the bending moment and Mises stress of the pipeline in the middle of the landslide decrease with the increase of the coefficient of subgrade reaction.The bending moment and Mises stress at the perimeter of landslide increase with the increase of the coefficient of subgrade reaction.The constraint effect of soil on pipeline is strengthened with the increase of the coefficient of subgrade reaction,which causes the change of deflection and internal force of pipeline.Compared with the elastic subgrade reaction method,the proposed method is more rigorous in theory and has higher calculation accuracy.