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A numerical homogenized law using discrete element method for continuum modelling of boundary value problems

Nguyen T.K. National University of Civil Engineering, Hanoi, Viet Nam|
Nguyen D.H. | Combe G. | Desrues J. Laboratory 3SR, University of Grenoble, CNRS, Grenoble, France|

Lecture Notes in Civil Engineering Số , năm 2020 (Tập 54, trang 715-720)

DOI: 10.1007/978-981-15-0802-8_113

Tài liệu thuộc danh mục: Scopus

English

Từ khóa: Boundary value problems; Continuum mechanics; Finite difference method; Granular materials; Homogenization method; Constitutive law; Current law; Graphical representations; Numerical homogenization; Path dependence; Response envelope; Volume elements; Numerical methods
Tóm tắt tiếng anh
This paper presents a new way to define constitutive laws based on particles interactions within the Discrete Element Method (DEM). The concept is based on Volume Element (VE) for which the constitutive law is constructed through a numerical homogenization process. The new law fully accounts for the discrete nature of granular materials. By using the response envelope diagrams proposed by Gudehus [1], a graphical representation of the constitutive law is obtained. The results suggest that the current law can fully capture the main features of granular materials such as anisotropy, path dependence and non-linearity. � Springer Nature Singapore Pte Ltd. 2020.

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