Study On Multiple Timescale Numerical Method For Hydro-mechanical Coupling Dynamic Analysis Of Geotechnical Medium

This dissertation presents an explicit finite element scheme for analyzing the dynamic response of the saturated poroelastic media.We introduce the precise time step integration method for the time step integration of the dynamic - equation system in the time domain.The novel scheme employs the standard finite element method(FEM)for space domain discretization.The spectral radius analysis and the error and convergence analysis show the proposed scheme is unconditionally stable and convergent with numerical solutions that are infinitely close to exact solutions.Compared with the Newmark scheme,the advantages of the proposed scheme are demonstrated by simulating five examples,which are one-dimensional model,two-dimensional plane strain model,semi-infinite space model,seabed model,the slope of dredged submarine channel model.The proposed scheme yields high-precision results and exhibits good adaptability under the large time step size,which remarkably outperforms the Newmark scheme.