**Variance Analysis and Autocorrelation Function for 2D Fiber Lap Statistical Analysis**

Jean-Yves Drean and Omar Harzallah

Additional information is available at the end of the chapter

http://dx.doi.org/10.5772/61795

#### **Abstract**

[98] Bagherzadeh R, Latifi M, Najar S S, et al. Transport properties of multi-layer fabric based on electrospun nanofiber mats as a breathable barrier textile material. *Textile*

[99] Yan S, Jian G, Zachariah M R. Electrospun nanofiber-based thermite textiles and their reactive properties. *ACS Applied Materials & Interfaces*, 2012, 4(12): 6432–6435.

[100] Moran-Mirabal J M, Slinker J D, DeFranco J A, et al. Electrospun light-emitting nano‐

[101] Gheibi A, Latifi M, Merati A A, et al. Piezoelectric electrospun nanofibrous materials for self-powering wearable electronic textiles applications. *Journal of Polymer Research*,

[102] Slater J M, Paynter J, Watt E J. Multi-layer conducting polymer gas sensor arrays for

[103] Savage N, Chwieroth B, Ginwalla A, et al. Composite n–p semiconducting titanium oxides as gas sensors. *Sensors and Actuators B: Chemical*, 2001, 79(1): 17–27.

[104] Unde S, Ganu J, Radhakrishnan S. Conducting polymer‐based chemical sensor: Char‐ acteristics and evaluation of polyaniline composite films. *Advanced Materials for Op‐*

[105] Sheng L, Dajing C, Yuquan C. A surface acoustic wave humidity sensor with high sensitivity based on electrospun MWCNT/Nafion nanofiber films. *Nanotechnology*,

[106] Modafferi V, Panzera G, Donato A, et al. Highly sensitive ammonia resistive sensor based on electrospun V 2 O 5 fibers. *Sensors and Actuators B: Chemical*, 2012, 163(1): 61–

[107] Yang M, Xie T, Peng L, et al. Fabrication and photoelectric oxygen sensing character‐ istics of electrospun Co doped ZnO nanofibres. *Applied Physics A*, 2007, 89(2): 427–

[108] Wang X, Drew C, Lee S H, et al. Electrospun nanofibrous membranes for highly sen‐

[109] Hu G, Zhou Z, Guo Y, et al. Electrospun rhodium nanoparticle-loaded carbon nano‐ fibers for highly selective amperometric sensing of hydrazine. *Electrochemistry Com‐*

[110] Li D, McCann J T, Xia Y. Use of electrospinning to directly fabricate hollow nanofib‐ ers with functionalized inner and outer surfaces. *Small*, 2005, 1(1): 83–86.

[111] Ding B, Wang M, Wang X, et al. Electrospun nanomaterials for ultrasensitive sensors.

sitive optical sensors. *Nano Letters*, 2002, 2(11): 1273–1275.

*Research Journal*, 2012, 82(1): 70–76.

fibers. *Nano Letters*, 2007, 7(2): 458–463.

*tics and Electronics*, 1996, 6(3): 151–157.

2011, 22(26) : 265504-265504.

*munications*, 2010, 12(3): 422–426.

*Materials Today*, 2010, 13(11): 16–27.

68.

430.

olfactory sensing. *Analyst*, 1993, 118(4): 379–384.

2014, 21(7): 1–7.

54 Non-woven Fabrics

This chapter reports on the statistical analysis of 2D fiber lap using variance analy‐ sis and autocorrelation function. It begins with a short overview of the nonwoven processes showing the importance of lap and web formation. It then proceeds to de‐ scribe the theory of the ideal fiber web. The real defects are taken into account based on random irregularity, periodic irregularity, and compound irregularity. To conclude, the chapter highlights the efficiency of this theoretical approach and its application on 2D fibrous material.

**Keywords:** Fiber lap, fiber web, textile processes, statistical analysis, variance analysis, autocorrelation
