[PPT] - Modellingof nonwoven materials Stepan V. Lomov, Amit Rawal PowerPoint Presentation

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Modellingof nonwoven materials

Stepan V. Lomov, Amit Rawal Department Metallurgy and Materials Engineering, KULeuven

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N

WoT

ex: S pecs

Fibrous assembly: Non-woven fabric Fibrous components Fibrous components Fibre properties Length Waviness and curvature Orientation Fabric weight & thickness Fibre content Random realisation Random realisation Random realisation Random realisation Geometry & Visualisation Contacts and links Permeability Properties of composite Mechanical properties Bonding

Individual properties of the realisation and Monte Carlo for the assembly

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N

WoT

ex: G U I

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Input: F ibreproperties

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F ibreproperties

EASTLON SN-3250CM HC SL hygienic Material PES PES Linear density, tex 0.22 0.33 Density, g/cm3 1.38 1.38 Diameter (computed), mm 0.0142 0.0174 Friction coefficient (ASSUMED) 0.3 0.3 Young modulus, GPa 11 11 Poisson ratio 0.25 0.25 Tenacity, cN/dtex 3.4 3.7 MPa 469 511 Elongation, % 60 57 Length, mm 51 57 Proportion, wt% 50 50 Areal density, g/m2 27.6 Thickness, mm 0.5 Vf_total, % 4.0

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Input: F ibrelength

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Input: F ibreorientation

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Measurements of the fibre

rientation
x

y z 2 1 3 p p

1 p 2

p

3

int

1

; cos , 1... cos

i i i i i i s

k k ds i N

f

f f

INT f

f f n f f n

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Input: F ibrewaviness

1 1 2 2 2

( ) sin sin s s s A n n L L

1

r r r

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Material

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C

ntacts

Total contacts: 1509; 693 contacts/mm3 [EASTLON SN-3250CM]x[EASTLON SN-3250CM]: 142; 65 contacts/mm3 [EASTLON SN-3250CM]x[HC SL hygienic]: 777; 357 contacts/mm3 [HC SL hygienic]x[HC SL hygienic]: 590; 271 contacts/mm3

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C

ntact types

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O rientation averaging of the fibre tension

’

f

l

f

l

sin

f

l

cos

f

l

cos

f

l

O A B C B’ A’ A

b

b

1

A

Machine Direction

F_fibre Poisson

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1

1 1 1 1 1 2 2 2 2 1 2

cos ( ) ( , ) cos ( ) ( , );

n f a i i i i f n f a i i i i i i f

m T K m K

E

quations

web stress per unit width [N/m] for the test direction component fraction mass per unit area directional parameter: fiber length projection on the test direction. fibre orientation angle frequency of the orientation fibre stress fabric strain

1

sin ) 1 ( ) 1 ( cos ) (

2 / 1 2 2 2 2

f

f

f f

fibre strain Poisson ratio fibre tension diagram

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Input: C

mponents and areal

density

T17 T17 T28

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Input: F ibre orientation

0.0011 0.08 0.044 0.15 90° 0.50 0.43 0.43 0.34 67.5° 0.93 0.88 0.83 0.78 45° 1.21 1.19 1.13 1.10 22.5° 1.31 1.33 1.22 1.26 0° 12 4.4 3.3 2.2 T28 T17

K()

a

0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16

90
70
50
30
10

10 30 50 70 90 Fibre Orientation Angle (o) Relative Frequency

b

0.02 0.04 0.06 0.08 0.1 0.12

90
70
50
30
10

10 30 50 70 90 Fibre Orientation Angle (o) Relative Frequency

T17

In-plane fibre

rientation:

approximated by normal distribution

a=17.72 b=18.99 = 21º

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Input: F ibre tension

1 2 3 4 5 6 7 2 4 6 8 10 12 Strain (%) Stress (cN/tex) 2.2 dtex 3.3 dtex 4.4 dtex 12 dtex

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Input : P

isson ratio

2 4 6 1 2 3 4 5 6 7 8 Longitudinal Strain (% ) Poisson’s Rat

0° 22.5° 45° 67.5° 90°

0.5 1 1.5 2 2.5 3 3.5 4 1 2 3 4 5 6 7 8 Longitudinal Strain (%) Poisson’s Ratio

0° 22.5° 45° 67.5° 90°

T17 T28

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R esults: D iagrams

0.1 0.2 0.3 0.4 0.5 0.6 0.7 1 2 3 4 5 6 7 8 Strain (%) Stress (N/mm)

Experimental

Incl. Poisson’s Ratio
Excl. Poisson’s Ratio

0.2 0.4 0.6 0.8 1 1 2 3 4 5 6 7 8 Strain (%) Stress (N/mm)

Experimental

Incl. Poisson’s Ratio
Excl. Poisson’s Ratio

0.02 0.04 0.06 0.08 0.1 0.12 1 2 3 4 5 6 7 8 Strain (%) Stress (N/mm)

Experimental

Incl. Poisson’s Ratio
Excl. Poisson’s Ratio

0.02 0.04 0.06 0.08 0.1 1 2 3 4 5 6 7 8 Strain (%) Stress (N/mm

Experimental

Incl. Poisson’s Ratio
Excl. Poisson’s Ratio

T17 T28 0° 67.5°

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R esults: Modules

2 4 6 8 10 12 14 16 18 20 22.5 45 67.5 90 Test A ngle (o) Secant M

dulus (M

P

Experimental

Incl. Poisson’s Ratio
Excl. Poisson’s Ratio

5 10 15 20 25 30 22.5 45 67.5 90 Test Angle (o) Secant Modulus (MPa)

Experimental

Incl. Poisson’s Ratio
Excl. Poisson’s Ratio