Variation Analysis of Uplift Bearing Characteristics of Strip Anchor Plate in Nonhomogeneous Materials

Abstract

Considering the nonlinearity and heterogeneity of geotechnical materials, the ultimate pullout capacity of a shallow horizontal strip anchor plate is determined based on the upper-bound limit analysis theory and the nonlinear Mohr–Coulomb failure criterion. The ultimate pullout capacity and the soil rupture surface, as well as its stress distribution, are obtained by Euler equations and the Runge–Kutta process. The effectiveness of the variation method is verified by comparisons with existing results and numerical results. Furthermore, the effects of variation coefficients of geotechnical parameters and buried depth on the ultimate pullout capacity are analyzed. Results indicate that (1) the ultimate pullout capacity increases with the variation coefficients of the shear strength parameters, and opposite parameters result in symmetrical failure patterns. (2) The normal stress on the rupture surface is only related to the unit weight and depth. The proposed variation method provides a reliable and rigorous upper-bound solution of the pullout capacity of strip anchor plates embedded in nonhomogeneous materials, and it would provide a useful reference for the engineering design of anchor plates.