岩土力学2024，Vol.45Issue(8)：2279-2289,11.DOI:10.16285/j.rsm.2023.1384
循环荷载作用下分数阶饱和黏土地基的动力固结分析
Dynamic consolidation analysis of fractional order saturated clay foundation under cyclic loading
摘要
Abstract
Under the framework of Biot porous media theory,the fractional order Kelvin model is used to describe the rheological effect of soil skeleton,considering the coupling effect of pore pressure dissipation and skeleton rheology.By establishing a spatiotemporal analytical function for periodic cyclic loads,a three-dimensional axisymmetric dynamic consolidation control equation for a half space saturated clay foundation is constructed in a cylindrical coordinate system.The analytical solution of the control equation in the transformed domain is derived using Hankel-Laplace joint transformation and tensor operations,followed by numerical inversion to acquire the spatiotemporal solution of the physical field.By analyzing numerical examples,the dynamic consolidation characteristics of a saturated clay foundation under cyclic loading are studied.The results indicate that the settlement rate of saturated clay is slower during primary consolidation but faster during secondary consolidation.With cyclic loading,the soil's cumulative settlement development accelerates as the rheological properties of the soil skeleton strengthen.The amplitude of soil displacement fluctuations decreases as the order of viscosity increases,and the more significant the order of viscosity,the more pronounced the displacement hysteresis becomes.The rheological properties of the soil skeleton lead to a lag in pore pressure response compared to effective stress,resulting in horizontal movement of the spiral curve between pore pressure and effective stress under cyclic loading.In the unloading stage of cyclic loads,due to the decrease of normal stress with the decrease of external load,but the increase of shear stress,the soil undergoes shear dilation phenomenon,resulting in negative pore pressure in the soil.关键词
分数阶Kelvin模型/饱和黏土地基/动力固结/循环荷载/Hankel-Laplace变换Key words
fractional Kelvin model/saturated clay foundation/dynamic consolidation/cyclic load/Hankel-Laplace transformation分类
建筑与水利引用本文复制引用
王立安,余云燕,任新,陈辉..循环荷载作用下分数阶饱和黏土地基的动力固结分析[J].岩土力学,2024,45(8):2279-2289,11.基金项目
甘肃省自然科学基金(No.22JR11RA155) （No.22JR11RA155）
兰州交通大学青年科学基金(No.1200061136).This work was supported by the Natural Science Foundation of Gansu Province(22JR11RA155)and the Lanzhou Jiaotong University Youth Science Fund(1200061136). （No.1200061136）
