Abstract:
Based on the nonlocal theory and theory of porous media, the steady-state response of one-dimensional saturated soil layer is studied. In order to overcome the shortcomings of Biot's saturated soil theory and consider the influence of nonlocal effect, one-dimensional dynamic differential equations expressed by displacement of saturated soil are established by using nonlocal theory and theory of porous media. By solving the characteristic equations and eigenvectors and considering the boundary and initial conditions of the problem, the analytical solutions of displacement of solid phase, displacement of liquid phase and pore water pressure of one-dimensional saturated soil layer based on nonlocal theory are obtained in frequency domain. The dynamic response of one-dimensional saturated soil layer considering nonlocal effect is numerically studied. The laws of influence of nonlocal effect and liquid-solid coupling coefficient on dynamic response are analyzed, such as displacement of solid phase, displacement of liquid phase and pore water pressure. The numerical results show that there is resonance in one-dimensional saturated soil under harmonic loading, when the nonlocal effect of saturated soil is considered, the resonance amplitude will decrease and the system damping will increase. The liquid-solid coupling coefficient mainly affects the peak values of the curves of displacement of solid phase, displacement of liquid phase and pore water pressure with frequency.