Premium
u‐p semi‐Lagrangian reproducing kernel formulation for landslide modeling
Author(s) -
Siriaksorn Thanakorn,
Chi ShengWei,
Foster Craig,
Mahdavi Ashkan
Publication year - 2017
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2722
Subject(s) - discretization , biot number , poromechanics , kernel (algebra) , mathematics , lagrangian , displacement field , domain (mathematical analysis) , mathematical optimization , mathematical analysis , geology , engineering , geotechnical engineering , porous medium , finite element method , structural engineering , mechanics , physics , porosity , pure mathematics
Summary 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.