The respected Comrade
"Scientific research institutions in the sector of land administration and environmental conservation should conduct dynamic scientific research in line with the demands of building a thriving country, so as to solve fully, promptly and at a high standard the scientific and technological problems arising in land administration and environmental conservation."
The study of a consolidation is an important issue in ensuring the stability of buildings constructed on a ground composed of soil such as clay or silt.
The consolidation process of unsaturated soils under load is rather complex and has been studied for a long time. A comprehensive analysis of previous studies has so far been carried out on one-dimensional consolidation of soils under cyclic loading, but little work has been done on radial consolidation.
Hence, we have studied the radial consolidation of unsaturated soil under various cyclic loads followed by vertical drainage.
In the first place we derived analytical solutions of mathematical models for radial consolidation of unsaturated soils under various cyclic loads with frequent occurrence of vertical drainage.
We have transformed the governing equations for radial consolidation of unsaturated soil based on Fredlund and Hasan's consolidation theory for unsaturated soil into a set of conventional diffusion equations by introducing two new variables. Then, the general solutions for time-dependent loading are derived under free-strain condition and equal-strain condition. Furthermore, the complete analytical solutions are proposed for different cyclic loadings such as haversine cyclic loading, trapezoidal cyclic loading, rectangular cyclic loading, and triangular cyclic loading.
The proposed solutions have been verified by comparing them with those available in the literature as a limiting situation and the results show a quite good agreement.
We also graphically presented and examined the effect of different factors on radial consolidation of unsaturated soil under various cyclic loadings.
Our results were published as an essay under the title of ''Radial consolidation analysis of unsaturated soil with vertical drains under various cyclic loadings''(https://doi.org/10.1002/nag.3213) in the ''International Journal for Numerical and Analytical Methods in Geomechanics''.