4.7 Article

Numerical estimate of critical failure surface of slope by ordinary state-based peridynamic plastic model

Journal

ENGINEERING FAILURE ANALYSIS
Volume 140, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.engfailanal.2022.106556

Keywords

Strength reduction; Slope stability; OSB-PD theory; Drucker-Prager criterion; Critical failure surface

Funding

  1. National Natural Science Foundation of China [52109124]
  2. Open Fund Key Laboratory of Deep Earth Science and Engineering (Sichuan University) [DESE202204]
  3. Key Laboratory of Rock Mechanics and Geohazards of Zhejiang Province [ZJRMG-2021-04]
  4. Guizhou Provincial Science and Technology Projects [[2020] 2004]

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This paper proposes a method that combines the OSB-PD plastic model with the D-P criterion to numerically reproduce localized deformation and locate the critical failure surface of slopes. The strength reduction method is used to estimate the critical failure surface and factor of safety.
In this paper, two-dimensional ordinary state-based peridynamic (OSB-PD) plastic model is coupled mechanically with the Drucker-Prager (D-P) criterion, aiming at numerically reproducing localized deformation and locating the critical failure surface of slopes. A non-physical (or negative) incremental plastic energy can be avoided under extreme non-uniform deformation in this model. The strength reduction method is adopted to estimate the critical failure surface and factor of safety. For PD strength reduction method, three evaluation criteria are introduced to estimate the critical damage state of slopes. Two numerical simulations including a classical slope model and centrifuge tests of sand slopes are performed by the proposed PD method. The critical failure surfaces of slopes are obtained by PD and compared with the results obtained by (i) the finite element method (FEM), (ii) the simplified Bishop method, and (iii) the centrifuge tests. The numerical, analytical and experimental results have collectively verified the proposed PD method.

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