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From discrete to continuum modelling of boundary value problems in geomechanics: An integrated FEM-DEM approach

Desrues J. University of Grenoble Alpes, CNRS, Grenoble INP, Grenoble, France|
Dal Pont S. | Richefeu V. | Nguyen T.K. | Combe G. | Caillerie D. Ministry of Agriculture and Rural Development, Hanoi, Viet Nam| Argilaga A. Urban and Environmental Engineering/Geomechanics, University of Liege, Liege, Belgium|

International Journal for Numerical and Analytical Methods in Geomechanics Số 5, năm 2019 (Tập 43, trang 919-955)

DOI: 10.1002/nag.2914

Tài liệu thuộc danh mục: ISI, Scopus



Từ khóa: Boundary value problems; Continuum mechanics; Cost engineering; Efficiency; Finite element method; Granular materials; Numerical models; Computation process; Computational costs; Double-scale; Engineering problems; Numerical efficiency; Regularisation; Spatial variability; Tunnel excavation; Numerical methods; constitutive equation; discrete element method; finite element method; geomechanics; granular medium; numerical model; spatial variation
Tóm tắt tiếng anh
Double-scale numerical methods constitute an effective tool for simultaneously representing the complex nature of geomaterials and treating real-scale engineering problems such as a tunnel excavation or a pressuremetre at a reasonable numerical cost. This paper presents an approach coupling discrete elements (DEM) at the microscale with finite elements (FEM) at the macroscale. In this approach, a DEM-based numerical constitutive law is embedded into a standard FEM formulation. In this regard, an exhaustive discussion is presented on how a 2D/3D granular assembly can be used to generate, step by step along the overall computation process, a consistent Numerically Homogenised Law. The paper also focuses on some recent developments including a comprehensive discussion of the efficiency of Newton-like operators, the introduction of a regularisation technique at the macroscale by means of a second gradient framework, and the development of parallelisation techniques to alleviate the computational cost of the proposed approach. Some real-scale problems taking into account the material spatial variability are illustrated, proving the numerical efficiency of the proposed approach and the benefit of a particle-based strategy. � 2019 John Wiley & Sons, Ltd.

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