1 Introduction
2 Materials
Sample | Description |
---|---|
WF-1 | 100% polyamide woven fabric; three layers (tin, nickel, silver) metalized |
WF-2 | 100% polyester woven fabric; nickel metalized |
WF-3 | 100% polyester woven fabric; nickel metalized |
KF-1 | 100% polyamide knitted fabric; silver metalized |
KF-2 | 100% polyamide knitted fabric; silver metalized |
KF-3 | 78% polyamide and 22% elastomer knitted fabric; silver metalized |
Fabric | Thickness | Aerial density | Apparent density | Warp density | Weft density | D |
---|---|---|---|---|---|---|
WF-1 | 0.116 mm (11.2%) | 77 g/m2 (2.6%) | 666 kg/m3 (11.1%) | 46.0 per 1 cm (1.1%) | 41.0 per 1 cm (1.2%) | 1.1 |
WF-2 | 0.078 mm (15.4%) | 75 g/m2 (2.7%) | 966 kg/m3 (15.8%) | 40.0 per 1 cm (1.2%) | 30.0 per 1 cm (1.7%) | 1.3 |
WF-3 | 0.270 mm (5.5%) | 152 g/m2 (2.6%) | 564 kg/m3 (5.8%) | 46.0 per 1 cm (2.2%) | 34.0 per 1 cm (1.5%) | 1.4 |
Fabric | Thickness | Aerial density | Apparent density | Course density | Wale density | D |
---|---|---|---|---|---|---|
KF-1 | 0.396 mm (4.8%) | 139 g/m2 (2.1%) | 352 kg/m3 (5.4%) | 52.5 per 1 cm (0.9%) | 24.0 per 1 cm (2.1%) | 2.2 |
KF-2 | 0.388 mm (5.1%) | 108 g/m2 (2.8%) | 280 kg/m3 (5.7%) | 16.5 per 1 cm (3.0%) | 10.0 per 1 cm (5.0%) | 1.6 |
KF-3 | 0.624 mm (3.0%) | 135 g/m2 (2.2%) | 216 kg/m3 (3.7%) | 27.0 per 1 cm (1.8%) | 26.0 per 1 cm (1.9%) | 1.0 |
Fabric | Estimate of y | u2A(x) | u2B(x)a | ∂f/∂xb | uC(y) |
U
|
U
rel
|
---|---|---|---|---|---|---|---|
mm | mm2 | mm2 | – | mm | mm | % | |
WF-1 | 0.116 | 6.0 × 10−6 | 3.3 × 10−5 | 1 | 6.3 × 10−3 | 0.013 | 11.2 |
WF-2 | 0.078 | 4.0 × 10−6 | 3.3 × 10−5 | 1 | 6.1 × 10−3 | 0.012 | 15.4 |
WF-3 | 0.270 | 2.0 × 10−5 | 3.3 × 10−5 | 1 | 7.3 × 10−3 | 0.015 | 5.5 |
KF-1 | 0.396 | 5.6 × 10−5 | 3.3 × 10−5 | 1 | 9.4 × 10−3 | 0.019 | 4.8 |
KF-2 | 0.388 | 6.4 × 10−5 | 3.3 × 10−5 | 1 | 9.9 × 10−3 | 0.020 | 5.1 |
KF-3 | 0.624 | 5.6 × 10−5 | 3.3 × 10−5 | 1 | 9.4 × 10−3 | 0.019 | 3.0 |
Fabric | Estimate of y | u2A(x) | u2B(x)a | ∂f/∂xb | uC(y) |
U
|
U
rel
|
---|---|---|---|---|---|---|---|
Threads per 1 cm | (Threads per 1 cm)2 | (Threads per 1 cm)2 | – | Threads per 1 cm | Threads per 1 cm | % | |
WF-1 | 46.0 | 0.00 | 0.08 | 1 | 0.29 | 0.5 | 1.1 |
WF-2 | 40.0 | 0.00 | 0.08 | 1 | 0.29 | 0.5 | 1.2 |
WF-3 | 46.0 | 0.11 | 0.08 | 1 | 0.44 | 1.0 | 2.2 |
Fabric | Estimate of y | u2A(x) | u2B(x) a | ∂f/∂xb | uC(y) |
U
|
U
rel
|
---|---|---|---|---|---|---|---|
Threads per 1 cm | (Threads per 1 cm)2 | (Threads per 1 cm)2 | – | Threads per 1 cm | Threads per 1 cm | % | |
WF-1 | 41.0 | 0.03 | 0.08 | 1 | 0.34 | 0.5 | 1.2 |
WF-2 | 30.0 | 0.01 | 0.08 | 1 | 0.30 | 0.5 | 1.7 |
WF-3 | 34.0 | 0.01 | 0.08 | 1 | 0.30 | 0.5 | 1.5 |
Fabric | Estimate of y | u2A(x) | u2B(x)a | ∂f/∂xb | uC(y) |
U
|
U
rel
|
---|---|---|---|---|---|---|---|
Courses per 1 cm | (Courses per 1 cm)2 | (Courses per 1 cm)2 | – | Courses per 1 cm | Courses per 1 cm | % | |
KF-1 | 52.5 | 0.03 | 0.08 | 1 | 0.34 | 0.5 | 0.9 |
KF-2 | 16.5 | 0.03 | 0.08 | 1 | 0.34 | 0.5 | 3.0 |
KF-3 | 27.0 | 0.03 | 0.08 | 1 | 0.34 | 0.5 | 1.8 |
Fabric | Estimate of y | u2A(x) | u2B(x)a | ∂f/∂xb | uC(y) |
U
|
U
rel
|
---|---|---|---|---|---|---|---|
Wales per 1 cm | (Wales per 1 cm)2 | (Wales per 1 cm)2 | – | Wales per 1 cm | Wales per 1 cm | % | |
KF-1 | 24.0 | 0.00 | 0.08 | 1 | 0.29 | 0.5 | 2.1 |
KF-2 | 10.0 | 0.03 | 0.08 | 1 | 0.34 | 0.5 | 5.0 |
KF-3 | 26.0 | 0.00 | 0.08 | 1 | 0.29 | 0.5 | 1.9 |
Fabric | Estimate of y | u2A(x1) | u2B(x1)a | ∂f/∂ x1 | u2B(x2)b | ∂f/∂ x2 | uC(y) |
U
|
U
rel
|
---|---|---|---|---|---|---|---|---|---|
g/m2 | g2 | g2 | 1/m2 | m2 | g/m3 | g/m2 | g/m2 | % | |
WF-1 | 77 | 1.8 × 10−7 | 3.3 × 10−9 | 127 | 3.3 × 10−7 | − 1544 | 0.89 | 2 | 2.6 |
WF-2 | 75 | 1.2 × 10−6 | 3.3 × 10−9 | 127 | 3.3 × 10−7 | − 1506 | 0.88 | 2 | 2.7 |
WF-3 | 152 | 1.4 × 10−6 | 3.3 × 10−9 | 127 | 3.3 × 10−7 | − 3048 | 1.77 | 4 | 2.6 |
KF-1 | 139 | 6.9 × 10−7 | 3.3 × 10−9 | 100 | 3.3 × 10−7 | − 2789 | 1.61 | 3 | 2.1 |
KF-2 | 108 | 6.2 × 10−7 | 3.3 × 10−9 | 100 | 3.3 × 10−7 | − 2169 | 1.25 | 3 | 2.8 |
KF-3 | 135 | 1.3 × 10−7 | 3.3 × 10−9 | 100 | 3.3 × 10−7 | − 2697 | 1.56 | 3 | 2.2 |
Fabric | Estimate of y | u2A(x1) | u2B(x1)a | ∂f/∂ x1 | u2B(x2)b | ∂f/∂x2 | u2A(x3) | u2B(x3)c | ∂f/∂x3 | uC(y) |
U
|
U
rel
|
---|---|---|---|---|---|---|---|---|---|---|---|---|
kg/m3 | kg2 | kg2 | 1/m3 | m2 | kg/m4 | m2 | m2 | kg/m4 | kg/m3 | kg/m3 | % | |
WF-1 | 666 | 1.8 × 10−13 | 3.3 × 10−15 | 1,097,620 | 3.3 × 10−7 | − 13,312 | 6.0 × 10−12 | 3.3 × 10−11 | − 5,737,900 | 0.89 | 2 | 2.6 |
WF-2 | 966 | 1.2 × 10−12 | 3.3 × 10−15 | 1,632,360 | 3.3 × 10−7 | − 19,314 | 4.0 × 10−12 | 3.3 × 10−11 | − 12,380,800 | 0.88 | 2 | 2.7 |
WF-3 | 564 | 1.4 × 10−12 | 3.3 × 10−15 | 471,570 | 3.3 × 10−7 | − 11,289 | 2.0 × 10−11 | 3.3 × 10−11 | − 2,090,630 | 1.77 | 4 | 2.6 |
KF-1 | 352 | 6.9 × 10−13 | 3.3 × 10−15 | 252,525 | 3.3 × 10−7 | − 7020 | 5.6 × 10−11 | 3.3 × 10−11 | − 886,389 | 1.61 | 3 | 2.1 |
KF-2 | 280 | 6.2 × 10−13 | 3.3 × 10−15 | 257,732 | 3.3 × 10−7 | − 5567 | 6.4 × 10−11 | 3.3 × 10−11 | − 717,398 | 1.25 | 3 | 2.8 |
KF-3 | 216 | 1.3 × 10−13 | 3.3 × 10−15 | 160,256 | 3.3 × 10−7 | − 4327 | 5.6 × 10−11 | 3.3 × 10−11 | − 346,709 | 1.56 | 3 | 2.2 |
3 Methods
4 Results and discussion
Parameter | WF-1 | WF-2 | WF-3 | KF-1 | KF-2 | KF-3 |
---|---|---|---|---|---|---|
R1 (Ω) | 0.002 | 0.031 | 0.062 | 0.070 | 0.095 | 0.465 |
R2 (Ω) | 0.005 | 0.060 | 0.069 | 0.499 | 0.122 | 0.541 |
R/R | 3.1 | 1.9 | 1.1 | 7.2 | 1.3 | 1.2 |
k
| 0.375 | 0.219 | 0.033 | 0.382 | 0.195 | 0.187 |
Rs (Ω) | 0.015 | 0.199 | 0.297 | 0.980 | 0.490 | 2.276 |
ρ (Ω cm) | 1.75 × 10−4 | 1.55 × 10−3 | 8.01 × 10−3 | 3.88 × 10−2 | 1.90 × 10−2 | 1.42 × 10−1 |
Microscopic images (1 mm = 120 px) warp direction → weft direction ↓ | Lines profiles Horizontal line corresponding to warp direction (the solid line) Vertical line corresponding to weft direction (the dotted line) | Surface roughness parameters |
---|---|---|
WF-1 | Sh = 71.521 px2 Sv = 70.147 px2 fh = 0.021 1/px Th = 48.3 px fv = 0.018 1/px Tv = 55.1 px | |
WF-2 | Sh = 55.355 px2 Sv = 44.620 px2 fh = 0.016 1/px Th = 64.3 px fv = 0.013 1/px Tv = 77.2 px | |
WF-3 | Sh = 46.815 px2 Sv = 42.690 px2 fh = 0.005 1/px Th = 193.0 px fv = 0.013 1/px Tv = 77.2 px |
Microscopic images (1 mm = 120 px) course direction → wale direction ↓ | Lines profiles Horizontal line corresponding to course direction (the solid line) Vertical line corresponding to wale direction (the dotted line) | Surface roughness parameters |
---|---|---|
KF-1 | Sh = 51.408 px2 Sv = 36.398 px2 fh = 0.041 1/px Th = 24.1 px fv = 0.041 1/px Tv = 24.1 px | |
KF-2 | Sh = 54.778 px2 Sv = 42.875 px2 fh = 0.016 1/px Th = 64.3 px fv = 0.028 1/px Tv = 35.1 px | |
KF-3 | Sh = 35.279 px2 Sv = 28.909 px2 fh = 0.021 1/px Th = 48.3 px fv = 0.008 1/px Tv = 128.7 px |
Parameter 1 | Parameter 2 | Pearson’s correlation coefficient |
---|---|---|
R
s
|
Sh
| − 0.80 |
R
s
|
Sv
| − 0.74 |
R/R |
D
| 0.78 |
R/R |
fh
| 0.90 |
R/R |
fv
| 0.81 |