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2020 | OriginalPaper | Chapter

Discrete Element Methods: Basics and Applications in Engineering

Authors : Peter Wriggers, B. Avci

Published in: Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Publisher: Springer International Publishing

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Abstract

A computational approach is presented in this contribution that allows a direct numerical simulation of 3D particulate movements. The given approach is based on the Discrete Element Method (DEM) The particle properties are constitutively described by specific models that act at contact points. The equations of motion will be solved by appropriate time marching algorithms. Additionally coupling schemes with the Finite Element Method (FEM) are discussed for the numerical treatment of particle-solid and particle-fluid interaction. The presented approach will be verified by computational results and compared with those of the literature. Finally, the method is applied for the simulation of different engineering applications using computers with parallel architecture.

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next chapter Adaptive Integration of Cut Finite Elements and Cells for Nonlinear Structural Analysis
Footnotes
1
This factor A can also be used as a fitting parameter within specific simulations—like quasistatic predictions of granular material behaviour—to damp oscillations.
 
2
Analytical solution for the trajectory:
\(\tilde{x}_{3,\max }=\displaystyle \frac{(v_0\sin \alpha )^2}{2\,b}\,,\tilde{x}_{1,k}=\displaystyle \frac{v_0^2\sin (2\,\alpha )}{b}\,,\tilde{t}_k=\displaystyle \frac{2\,v_0\sin \alpha }{b}\) .
 
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Metadata
Title
Discrete Element Methods: Basics and Applications in Engineering
Authors
Peter Wriggers
B. Avci
Copyright Year
2020
Book
Modeling in Engineering Using Innovative Numerical Methods for Solids and Fluids

Print ISBN: 978-3-030-37517-1

Electronic ISBN: 978-3-030-37518-8

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-37518-8_1

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