A manifold Lagrangian integration point method for large deformation failure modelling of rock slopes

• Published in: Computers and geotechnics Vol. 129; p. 103875
• Main Authors: Wang, Manling, Li, Shuchen, Yuan, Chao, Wan, Zeen, Zhou, Huiying, Wang, Aitao, Sun, Fahe
• Format: Journal Article
• Language: English
• Published: New York Elsevier Ltd 01.01.2021; Elsevier BV
• Subjects: Algorithms; Computer simulation; Deformation; Dredging; Engineering; Excavation; Failure; Failure criterion; Finite element method; Flux density; Integration; Large deformation; Manifold coverage; Manifold Lagrangian integration point method; Manifolds; Particle motion; Plastic deformation; Slope engineering; Strain energy density theory; Slope engineering; Manifold coverage; Strain energy density theory; Failure criterion; Manifold Lagrangian integration point method; Large deformation
• ISSN: 0266-352X; 1873-7633
• DOI: 10.1016/j.compgeo.2020.103875

A manifold Lagrangian integration point method is proposed by combining the manifold coverage algorithm and a Lagrangian integral point finite element method, aiming to simulate the large deformation failure in slope engineering. The model is established based on the dual-discrete method with a fixed Eulerian background mesh and moving material particles. The method adopts the Eulerian mesh as the fixed background mesh and describes the deformation behaviour of macroscopic objects via particle motion between meshes, thus avoiding the problem of grid distortion in the calculation process and eliminating particle motion constraints in the set region. A strain softening strain energy density failure criterion is introduced for the first time to determine the failure of the continuum, such that the process of discontinuous failure can be addressed by a continuous method. Finally, the method is verified by simulating the post-excavation failure evolution of a slope engineering case for highway reconstruction and expansion. The results found that the obtained slope slip surface is essentially consistent with the theoretical solution.