科研之友
微信
新浪微博
Facebook
分享链接
摘要
One-dimensional consolidation of viscoelastic saturated soils with fractional order derivative subject to surface loading and an inner sink is studied analytically. First, the theory of fractional calculus is introduced to Kelvin-Voigt viscoelastic model to describe the rheological behavior of saturated soils. Then, based on fractional Kelvin-Voigt viscoelastic models and one-dimensional consolidation theory, the analysis is performed by using the Laplace transform. And the semi-analytical solution in physical space can be acquired after implementing Laplace numerical inversion by using Crump method. In the cases of elasticity and uniformly distributed loading without an inner sink, the simplified solutions in this study are the same as the corresponding available analytical solutions in the literature. This indicates that the proposed solution in this study is reliable. Finally, parameter studies are conducted to analyze the effects of the fractional order, the coefficient of consolidation and the strength of sink on one-dimensional consolidation behavior. It is shown that, the consolidation development is predominantly influenced by the fractional order. It takes less time to achieve the final settlement with increasing the fractional order. The final settlement is mainly affected by the coefficient of consolidation and the strength of sink. The final settlement decreases with the increase of the coefficient of consolidation or the decrease of the strength or depth of sink. In the presence of an inner sink, the final settlement under the double drainage is smaller than that of the single drainage.
- 单位
