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Introduction to the eXtended Discrete Element Method

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Texte intégral

(1)

Introduction to the

e X tended D iscrete E lement M ethod

- Ing. Alvaro A. Estupinan Donoso

(2)

Outline

• Granular material

• eXtended Discrete Element Method (XDEM)

– What is XDEM ? – A XDEM toolbox – How does it work ?

• Applications

(3)

Granular material

(4)

Wikipedia:

is a

numerical technique

that extends the dynamics of granular material or particles as described through the classical discrete element method (DEM) (Cundall [1] and Allen [2]) by additional properties such as the thermodynamic state, stress/strain or electro-magnetic field for each particle. Contrary to a continuum mechanics concept, the XDEM aims at resolving the particulate phase with its various processes attached to the particles. While the discrete element method

predicts position and orientation in space and time for each particle

, the extended discrete element method

additionally estimates properties such as internal temperature and/or species distribution or mechanical impact with structures.

XDEM( extended discrete element method )

(5)

Multi-physics simulation toolbox modelling granular materials and processes:

Chemical Reactions

• Coke

• WO3

• Biomass

&/or

Particle Motion

• Sand

• Snow

• …

Discrete Particle Method (DPM),

( A XDEM toolbox )

(6)

DPM: How does it work ?

2 0 2 1

1 0

1 0

0 1

(...)

0 1

0 1

1 (...)

) (

) (

) (

) (

) ( )

( )

(

) (

1 0 1 0

t m t

t F t

v x

t x

t m t

v F t

v t

x m t F

a

t a m F

a m F

t t t t

dt dt

 

 

 

 

 

 

 

 

v F

1

F

2

Newton’s 2nd law of motion

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DPM: How does it work ?

How can we calculate the trajectory of a particle ?

t t

t

n1

n

 

t  tttttt

trajectory

(8)

DPM: Newton’s 2 nd Law

(9)

DPM: Newton’s 2 nd Law

(10)

XDEM Application: Contact

(11)

XDEM Application: Hopper Discharge

(12)

XDEM Application: Tire-Snow Interaction

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Visit us at

http://luxdem.uni.lu/

Thank you for your attention

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