Derivation Method for the Foundation Boundaries of Hydraulic Numerical Simulation Models Based on the Elastic Boussinesq Solution

Abstract

The foundation boundaries of numerical simulation models of hydraulic structures dominated by a vertical load are investigated. The method used is based on the stress formula for fundamental solutions to semi-infinite space body elastic mechanics under a vertical concentrated force. The limit method is introduced into the original formula, which is then partitioned and analyzed according to the direction of the depth extension of the foundation. The point load will be changed to a linear load with a length of2a. Inverse proportion function assumptions are proposed at parameteraand depthlof the calculation points to solve the singularity questions of elastic stress in a semi-infinite space near the ground. Compared with the original formula, changing the point load to a linear load with a length of2ais more reasonable. Finally, the boundary depth criterion of a hydraulic numerical simulation model is derived and applied to determine the depth boundary formula for gravity dam numerical simulations.

Comprehensive Characterization of Soils with Analytical and Numerical Simulation for Bearing Capacity and Settlement Requirements of the Footing

“…A sufcient soil boundary, which was optimally far away from stress refection, was adopted as presented in Figure 2. Hence, 8.0 m thickness and 10 m width soil model was provided to analyze the bearing capacity and settlement of the square footing under consideration [37,38]. During Plaxis 2D analysis, automatically generated fner mesh was maintained using a 15-node element than a 6-node element having a larger mesh.…”