Displacement Analysis of Semi-infinite Viscoelastic Soil under Tangential Line Load on the Boundary Using a Fractional Kelvin-voigt Model

Based on the theory of viscoelasticity and fractional calculus, a fractional Kelvin-Voigt model is proposed to account for the time-dependent behavior of semi-infinite viscoelastic soil under tangential line load on the boundary. Analytical solution of displacements in the semi-infmite viscoelastic soil was derived using Laplace transforms. The influence of the order of fractional derivative on the horizontal displacement is studied through numerical study. The result indicates that the influence of the order fractional of fractional derivative on horizontal displacement of semi-infinite viscoelastic soil is related with load time, and the horizontal displacement of semi-infinite viscoelastic soil increases largely at the initial time, the time has almost no effect on the horizontal displacement when the time t increases to a certain moment.