The variation of temperature will lead to the change of physical-mechanical properties of the soil

and in some engineering cases

saturated clay will be subjected to non-isothermal distribution condition. Therefore

to address the one-dimensional consolidation problem of saturated clay under non-isothermal distribution condition

a one-dimensional consolidation governing equation under single-stage linear loading is derived by some assumptions

in which the more general partial drainage boundary is considered. In addition

the analytical solution for governing equation is obtained by using separation variable method. By comparing the proposed analytical solution with the existing analytical solution and the finite difference solution

the correctness of the proposed analytical solution is verified. Based on the proposed analytical solution

the effects of temperature gradient

partial drainage boundary parameters and loading time on the one-dimensional consolidation behaviors of saturated clay are analyzed with an example. The results show that the larger the temperature gradient is

the greater the permeability of the soil becomes

and the faster the consolidation rate of the soil gets. The larger the partial drainage boundary parameters are

the smaller the excess pore water pressure of the soil at the same time becomes

and the larger the average consolidation degree of the soil gets. The average consolidation degree of the soil decreases with the increase of loading time

which is mainly due to the external loading applied to the soil in the loading stage is smaller than the final loading

but the extension of loading time can reduce the maximum excess pore water pressure in the soil to a certain extent.