期刊
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
卷 42, 期 2, 页码 231-255出版社
WILEY
DOI: 10.1002/nag.2722
关键词
landslide; meshfree; reproducing kernel; semi-Lagrangian; u-p formulation
资金
- U.S. Army Corps of Engineers [W912HQ-16-P-0002]
This paper presents a u-p (displacement-pressure) semi-Lagrangian reproducing kernel (RK) formulation to effectively analyze landslide processes. The semi-Lagrangian RK approximation is constructed based on Lagrangian discretization points with fixed kernel supports in the current configuration. As a result, it tracks state variables at discretization points while allowing extreme deformation and material separation that is beyond the capability of Lagrangian formulations. The u-p formulation following Biot theory is incorporated into the formulation to describe poromechanics of saturated geomaterials. In addition, a stabilized nodal integration method to ensure stability of the domain integration and kernel contact algorithms to model contact between bodies are introduced in the u-p semi-Lagrangian RK formulation. The proposed method is verified with several numerical examples and validated with an experimental result and the field data of an actual landslide.
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