Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2018026895
pages 345-366

AN ADAPTIVE REDUCED-DIMENSIONAL DISCRETE ELEMENT MODEL FOR DYNAMIC RESPONSES OF GRANULAR MATERIALS WITH HIGH-FREQUENCY NOISES

Xinran Zhong
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, USA; School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China
WaiChing Sun
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, USA

Краткое описание

We present a dimensional-reduction framework based on proper orthogonal decomposition (POD) for the nondissipative explicit dynamic discrete element method (DEM) simulations. Through Galerkin projection, we introduce a finite dimensional space with lower number of degree of freedoms such that the discrete element simulations are not only faster but also free of high-frequency noises. Since this method requires no injection of artificial or numerical damping, there is no need to tune damping parameters. The suppression of high-frequency responses allows a larger time step for faster explicit integration. To capture the highly nonlinear behaviors due to particle rearrangement, an automatic mode-update scheme is formulated such that the most efficient basis can be used to predict mechanical responses. Numerical examples including the wave propagation simulations and uniaxial extension and compression tests are used to demonstrate the capacity of the reduced-order model.


Articles with similar content:

Analysis of Discretization Methods of Continuous Dynamical Systems in Problems of Simulation and Control
Journal of Automation and Information Sciences, Vol.30, 1998, issue 4-5
Yu. E. Ivanov, G. F. Bublik
A Stochastic Nonlocal Model for Materials with Multiscale Behavior
International Journal for Multiscale Computational Engineering, Vol.4, 2006, issue 4
Jianxu Shi, Roger Ghanem
Coarse-Grained Molecular Dynamics for Computer Modeling of Nanomechanical Systems
International Journal for Multiscale Computational Engineering, Vol.2, 2004, issue 2
Robert E. Rudd
HOMOGENIZATION OF FIBER-REINFORCED COMPOSITES WITH RANDOM PROPERTIES USING THE LEAST-SQUARES RESPONSE FUNCTION APPROACH
International Journal for Multiscale Computational Engineering, Vol.9, 2011, issue 3
Marcin Kaminski
VPS: VORONOI PIECEWISE SURROGATE MODELS FOR HIGH-DIMENSIONAL DATA FITTING
International Journal for Uncertainty Quantification, Vol.7, 2017, issue 1
Marta D'Elia, Mohamed S. Ebeida, Ahmad Rushdi, Eric T. Phipps, Laura P. Swiler