Comparison between analytical and numerical methods of vertical stress analysis in the soil

There are variety methods for problems solution in civil engineering . the famous methods are the analytical solution, numerical analysis, experimental results. the problems division in to two groups in geotechnical engineering , plane strain and axisymmetry . in this article I use the analytical and numerical methods for analysis of the vertical stress increase in soil under the variety loading conditions . then comparison the results of numerical analysis and anlytical solution for several cases. The main advantage of numerical analysis is the ability of perform comprehensive study on the model and get the information about stresses , strains , settlements and vertical and horizontal displacements in all points of numerical model . we can use the finite element or finite difference method for numerical analysis but finite element supple but needy the much time . in this article I usage the general finite element software ANSYS for 2d analysis and geotechnical finite element software 3DFOUNDATION for 3d analysis. this investigation indicates that the axisymmetry numerical model is more sensetive to mesh size . but the plane strain numerical model is not dependent to mesh size so . also there is a good agreement in all of cases between the analytical solution and numerical analysis unless case 2 that the finite element results lesser than analytical solution . we can use the finer mesh in this case for get the better results.

کلیدواژه ها:

analytical ، numerical ، experimental ، plane strain ، axisymmetry ، finite element