A Computational Method of Active Earth Pressure from Finite Soil Body

Abstract

Nowadays, Coulomb and Rankine earth pressure theories have been widely applied to solve the earth pressure on a retaining structure. However, both of the theories established on the basis of the semi-infinite space assumption are not suitable for calculating the earth pressure from finite soil body. Therefore, this paper focuses on a theoretical study about the active earth pressure from finite soil body. Firstly, a common calculation model of finite soil body is established according to the results of previous studies. And then, based on Coulomb’s theory and the wedge element method, an analytical solution of the unit active earth pressure from finite soil body is deduced without an assumption of its linear distribution in advance. Meanwhile, formulas of the active earth pressure strength coefficient and the application point of the resultant force are also deduced. Finally, the influence of parameters such as the frictional angle between the retaining wall back and backfill, slope angle of backfill, dip angle of the retaining wall back, the frictional angle between backfill and rock slope, and uniformly applied load on the backfill surface on the distribution of the unit active earth pressure and the application point of the resultant force is analyzed in detail.

Numerical simulation and experimental study on seafloor sampling of an anchor-type mud collector based on SPH-FEM coupling method

“…Based on the Cullen earth pressure theory, 26 the earth pressure of the clay in the initial phase was modified and calculated as follows:…”

Arching effect and displacement on theoretical estimation for lateral force acting on retaining wall

“…Bang (1985) believed that there is a linear relationship between the mobilized internal friction and displacement, so he first derived the formulation of the non-limit active earth pressure in cohesionless soil. Based on Bang' study, Chang (1997) and Wang et al (2015) constructed an empirical distribution mode of mobilized internal friction when the horizontal displacement (s) at the top of the wall exceeded the critical displacement (sa). In practice, the relationship is not linear between the mobilized internal friction and displacement (Liu 2014;Chen et al 2019).…”

“…These calculated methods of the lateral earth pressure considering the displacement mainly utilize a fitting method of measured data (Mei et al 2009;Ni et al 2018), a geotechnical parameter substitution method (Xu et al 2013;Wang et al 2015), and a linear model (Bang 1985;Golam et al 2015), but the arching effect is hardly still considered in these methods.…”

Active State Earth Pressure based on Dubrova’s Method of Redistribution of Pressure

“…Hu et al studied the non-limit active earth pressure of retaining wall by thin-layer element method and obtained the theoretical formula of lateral coefficient, resultant force and action point of earth pressure [8]. Based on the calculation method of Bang's active earth pressure, Wang et al proposed an improved calculation method of non-limit active earth pressure considering the influence of wall displacement [9]. On the basis of the stress-strain concept, Chen et al studied the non-linear relationship between wall displacement and internal friction angle of soil and soil-wall external friction angle, and a theoretical calculation method of non-limit earth pressure was proposed considering the effect of retaining wall displacement [10].…”