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A Monolithic Finite Element Approach to Compute Permeabilityatc Microscopic Scales in LCM Processes

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HAL Id: hal-00614110

https://hal-mines-paristech.archives-ouvertes.fr/hal-00614110

Submitted on 14 Aug 2013

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Permeabilityatc Microscopic Scales in LCM Processes

Luisa Silva, Grégory Puaux, Michel Vincent, Patrice Laure

To cite this version:

Luisa Silva, Grégory Puaux, Michel Vincent, Patrice Laure. A Monolithic Finite Element Approach

to Compute Permeabilityatc Microscopic Scales in LCM Processes. 13th ESAFORM Conference on

Material Forming, Apr 2010, Brescia, Italy. pp.Pages 619-622, �10.1007/s12289-010-0846-5�. �hal-

00614110�

(2)

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A MONOLITHIC FINITE ELEMENT APPROACH TO COMPUTE PERMEABILITYAT MICROSCOPIC SCALES IN LCM PROCESSES 2 2

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22 2

Figure 2: Example of computational domains (REVs) at the micro (left) and meso (right) scales. In the left, the micro-scale: red represents the fibre and blue the resin.

In the right, interfaces between yarns and resin are represented through the isosurface of zero value of α on the background mesh

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222 Figure 3: Example of anisotropic mesh adaptation at the fibre-resin interface.

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222 Figure 4: Different sizes of RVE for permeability

computation

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Figure 5: Mesh sensitivity analysis - Adapted meshes, on the left isotropic and on the right anisotropic (in red, the fibre-fluid interface)

2

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2 2

Figure 6: Mesh sensitivity analysis – Evolution of the permeability computed value (in red), for a total number of elements that vary from 5000 to 200000 in the isotropic case (left) and from 5000 to 20000 in the anisotropic one (right); in green, Gebart’s value for the transverse permeability

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2 Figure 7: REV configurations studied.

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22 Figure 8: Evolution of the transverse permeability with the fibre volume fraction, our results are referenced as

“monolithique”.

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2

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G7H 32 45F97>$2 E32 &CD5AA7$2 32 2EF67$2 232 C%4E$2 EAB2 32 DE%7732 4E%F%82 Q%Q17A82 6CAC82 1F%CB51ECA7822 E99%CEC5A82 EF/2 9659%R1782 1F%C9E8C=F7832 A2 32 5F%C$2 7BC56$2 9'(7)%*(8+' 3,-8.7/4()-*(-)70 A+.1,84%(8+' 7( 48A-,%(8+' '-A1)8-7$2 9ED7827!"

20'7322E45C8C76$2#6EA7$20''(32

G0H 32 FCE<762 2 72 75B2 562 D5%F172 *476EDCAD32 L%F;762*EB71C2F9%C8768$27(((32

G H 32 2EF67$2 832 ?7EF17$2 B32 ?E887$2 232 C%4E$2 EAB2 32 45F97>32 F176CE%2 175B82 6562 85%CB2 9E6C%782 CA2 9E6CF%E72 6%5;2 8C1F%EC5A832 2-)+7%' 34 $+A4 B7*43$27 ! . $20''32

G)H ?332 879E632 7617E9C%C:2 562 FACBC67C5AE%2 67CA656717A82 6562 32 34 +3 $+A4 B%(3$2 0,.-77''77 $27((032

G!H S32 B6C832 5B7%%CAD2 72 6%5;2 562 95;76%E;2 6%FCB82 65FD2EAC85659C26C965F8217BCE325(748469 7)7'+,7$2#6EA7$20''32

L

EBC1

2

F197625627%717A82 0''2'''2 F197625627%717A82 0'2'''2 85659C21782 879E6J82756:2 *AC85659C21782

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