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Geomechanics and Engineering
  Volume 17, Number 6, April30 2019 , pages 515-525

Estimation of 3D active earth pressure under nonlinear strength condition
D.B. Zhang, Y. Jiang and X.L. Yang

    The calculation of active earth pressure behind retaining wall is a typical three-dimensional (3D) problem with spatial effects. With the help of limit analysis, this paper firstly deduces the internal energy dissipation power equations and various external forces power equations of the 3D retaining wall under the nonlinear strength condition, such as to establish the work-energy balance equation. The pseudo-static method is used to consider the effect of earthquake on active earth pressure in horizontal state. The failure mode is a 3D curvilinear cone failure mechanism. For the different width of the retaining wall, the plane strain block is inserted in the symmetric plane. By optimizing all parameters, the maximum value of active earth pressure is calculated. In order to verify the validity of the new expressions obtained by the paper, the solutions are compared with previously published solutions. Agreement shows that the new expressions are effective. The results of different parameters are given in the forms of figures to analysis the influence caused by nonlinear strength parameters.
Key Words
    limit analysis; nonlinear yield criterion; 3D active earth pressure; earthquakes
D.B. Zhang: Work Safety Key Lab on Prevention and Control of Gas and Roof Disasters for Southern Coal Mines, Hunan Provincial Key Laboratory of Safe Mining Techniques of Coal Mines, Hunan University of Science and Technology, Xiangtan 411201, China

Y. Jiang and X.L. Yang: School of Civil Engineering, Central South University, Hunan 410075, China

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