Multiscale modeling of large deformation in geomechanics

• Published in: International journal for numerical and analytical methods in geomechanics Vol. 43; no. 5; pp. 1080 - 1114
• Main Authors: Liang, Weijian, Zhao, Jidong
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 10.04.2019
• Subjects: Boundary value problems; Collapse; Compression; Compression tests; Computer simulation; Coupling; Deformation; Deformation mechanisms; DEM; Discrete element method; Finite element method; Frameworks; Geomechanics; hierarchical coupling; large deformation; Mathematical models; Modelling; MPM; Multiscale analysis; multiscale modeling; Nonlinear response; Nonlinear systems; Nonlinearity; Numerical methods; Soil; Soil columns; Soil testing; Soils; Strain
• ISSN: 0363-9061; 1096-9853
• DOI: 10.1002/nag.2921

Summary Large deformation soil behavior underpins the operation and performance for a wide range of key geotechnical structures and needs to be properly considered in their modeling, analysis, and design. The material point method (MPM) has gained increasing popularity recently over conventional numerical methods such as finite element method (FEM) in tackling large deformation problems. In this study, we present a novel hierarchical coupling scheme to integrate MPM with discrete element method (DEM) for multiscale modeling of large deformation in geomechanics. The MPM is employed to treat a typical boundary value problem that may experience large deformation, and the DEM is used to derive the nonlinear material response from small strain to finite strain required by MPM for each of its material points. The proposed coupling framework not only inherits the advantages of MPM in tackling large deformation engineering problems over the use of FEM (eg, no need for remeshing to avoid mesh distortion in FEM), but also helps avoid the need for complicated, phenomenological assumptions on constitutive material models for soil exhibiting high nonlinearity at finite strain. The proposed framework lends great convenience for us to relate rich grain‐scale information and key micromechanical mechanisms to macroscopic observations of granular soils over all deformation levels, from initial small‐strain stage en route to large deformation regime before failure. Several classic geomechanics examples are used to demonstrate the key features the new MPM/DEM framework can offer on large deformation simulations, including biaxial compression test, rigid footing, soil‐pipe interaction, and soil column collapse.