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Title: A hybrid calibration approach to Hertz-type contact parameters for discrete element models

Abstract

This study aims at providing a hybrid calibration framework to estimate Hertz-type contact parameters (particle-scale shear modulus and Poisson ratio) for both two-dimensional and three-dimensional discrete element modelling (DEM). On the basis of statistically isotropic granular packings, a set of analytical formulae between macroscopic material parameters (Young modulus and Poisson ratio) and particle-scale Hertz-type contact parameters for granular systems are derived under small-strain isotropic stress conditions. However, the derived analytical solutions are only estimated values for general models. By viewing each DEM modelling as an implicit mathematical function taking the particle-level parameters as independent variables and employing the derived analytical solutions as the initial input parameters, an automatic iterative scheme is proposed to obtain the calibrated parameters with higher accuracies. Considering highly nonlinear features and discontinuities of the macro-micro relationship in Hertz-based discrete element models, the adaptive moment estimation algorithm is adopted in this study because of its capacity of dealing with noise gradients of cost functions. Here, the proposed method is validated with several numerical cases including randomly distributed monodisperse and polydisperse packings. Noticeable improvements in terms of calibration efficiency and accuracy have been made.

Authors:
ORCiD logo [1];  [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Swansea Univ., Wales (United Kingdom)
  2. Swansea Univ., Wales (United Kingdom); Taiyuan Univ. of Technology (China)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1663190
Report Number(s):
LA-UR-20-20041
Journal ID: ISSN 0363-9061
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical and Analytical Methods in Geomechanics
Additional Journal Information:
Journal Volume: 44; Journal Issue: 9; Journal ID: ISSN 0363-9061
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
Discrete element method; Hertz-Mindilin contact model, Calibration; Constitutive law; Adaptive moment estimation; Non-linear elastic model

Citation Formats

Qu, Tongming, Feng, Yuntian, Zhao, Tingting, and Wang, Min. A hybrid calibration approach to Hertz-type contact parameters for discrete element models. United States: N. p., 2020. Web. doi:10.1002/nag.3061.
Qu, Tongming, Feng, Yuntian, Zhao, Tingting, & Wang, Min. A hybrid calibration approach to Hertz-type contact parameters for discrete element models. United States. doi:10.1002/nag.3061.
Qu, Tongming, Feng, Yuntian, Zhao, Tingting, and Wang, Min. Tue . "A hybrid calibration approach to Hertz-type contact parameters for discrete element models". United States. doi:10.1002/nag.3061.
@article{osti_1663190,
title = {A hybrid calibration approach to Hertz-type contact parameters for discrete element models},
author = {Qu, Tongming and Feng, Yuntian and Zhao, Tingting and Wang, Min},
abstractNote = {This study aims at providing a hybrid calibration framework to estimate Hertz-type contact parameters (particle-scale shear modulus and Poisson ratio) for both two-dimensional and three-dimensional discrete element modelling (DEM). On the basis of statistically isotropic granular packings, a set of analytical formulae between macroscopic material parameters (Young modulus and Poisson ratio) and particle-scale Hertz-type contact parameters for granular systems are derived under small-strain isotropic stress conditions. However, the derived analytical solutions are only estimated values for general models. By viewing each DEM modelling as an implicit mathematical function taking the particle-level parameters as independent variables and employing the derived analytical solutions as the initial input parameters, an automatic iterative scheme is proposed to obtain the calibrated parameters with higher accuracies. Considering highly nonlinear features and discontinuities of the macro-micro relationship in Hertz-based discrete element models, the adaptive moment estimation algorithm is adopted in this study because of its capacity of dealing with noise gradients of cost functions. Here, the proposed method is validated with several numerical cases including randomly distributed monodisperse and polydisperse packings. Noticeable improvements in terms of calibration efficiency and accuracy have been made.},
doi = {10.1002/nag.3061},
journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
number = 9,
volume = 44,
place = {United States},
year = {2020},
month = {2}
}

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