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2 nd INTERNATIONAL TEXTILE, CLOTHING & DESIGN CONFERENCE – Magic World of <strong>Textil</strong>es<br />

October 03 rd to 06 th 2004, DUBROVNIK, CROATIA<br />

STEREOMETRIC ARRANGEMENT <strong>OF</strong> YARNS IN FABRIC<br />

Iva MERTOVA<br />

Abstract:<br />

This article deals with evaluation of structure of fabrics due to changes of weft sett and fabric finishing and<br />

type of yarn on spatial arrangement and yarn‘s deformation in fabrics using main geometrical characteristics.<br />

Arrangement of yarns in fabric is monitoring on cotton fabrics in plain weave in cut of fabric and in plain of<br />

fabric.<br />

Keywords Cotton fabric in plain weave, binding wave, binding point, deformation of yarn<br />

1. Introduction<br />

It is impossible to take binding wave as plane curve, it is necessary to mind its three-dimensional form, see<br />

figure 1. Deviation of thread’s projection into plane of fabrics of linear shape results in different values of<br />

thread spacing. This irregular location of threads can influence on air permeability, absorbency, cover factor,<br />

thermal insulating and mechanical properties of fabrics.<br />

Geometry and deformation of yarn in fabrics can be given and influenced by set of factors: process of<br />

weaving, thread count, weave, yarn properties (fineness, twist, type) and finishing of the fabrics.<br />

On technology, the yarn is exposed to stress what leads to its deformation. Deformation of yarn is usually<br />

combination of bend, torsion and lateral compression and tensile axial elongation. It leads to compression,<br />

flattening and increasing of packing density of the yarns, what results in modification of internal structure of<br />

yarns. Significant impact on yarn cross-section deformation has first of all yarn bend and lateral stress.<br />

Originally idealized circular cross-section of threads is deformed on elliptical or Kemp‘s cross-section.<br />

Flattening of yarn’s cross-section influences for example in thickness, bending rigidity, areal covering, hand<br />

evaluation, air permeability and it is one of criteria of construction and designing of fabrics.<br />

Figure 1: Examples of yarn’s arrangement in plane of fabric<br />

It is possible to monitor separately three-dimensional geometry and deformation of yarn, namely in cut of<br />

binding wave of fabric or in projection into plane of fabric. In this contribution deal with influence of weft sett,<br />

fabrics finishing and yarn type on spatial arrangement and yarn‘s deformation in fabrics using main<br />

geometrical characteristics. Experiments were carried out on twelve fabrics: B16, B20, B24, A14, A16,5,<br />

A19, R16, R20, R24, R14, R16,5 and R19. The First six are treated “applying of finishing agent” and rest is<br />

gray. The warp yarns were sized. Fabrics were washed and dried on fixation frame. Numbers behind letters<br />

A, B and R mean the warp threads per cm on machine. Experiment is done on cotton fabrics in plain weave<br />

in two ways:<br />

a) By monitoring of arrangement of yarn binding wave (procedure of soft sections, measurement dates by<br />

use image analyses)<br />

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2 nd INTERNATIONAL TEXTILE, CLOTHING & DESIGN CONFERENCE – Magic World of <strong>Textil</strong>es<br />

October 03 rd to 06 th 2004, DUBROVNIK, CROATIA<br />

b) By monitoring yarn geometry in plain of fabrics (scanning of pictures of fabrics, modification of pictures<br />

and measurement dates by use of image analyses).<br />

Both of procedures are compared.<br />

2. Yarn’s geometry in binding wave<br />

Yarn’s geometry in binding wave is monitoring by sett of geometrical parameters. These parameters<br />

describe yarn waviness in fabric’s cut and yarn's deformation in binding point.<br />

2.1 Yarn’s deformation in binding point<br />

In contact point of two yarns, consequently in binding point, there is compression and enlargement of yarn.<br />

Inner structure of yarn changes is depending on this deformation. The yarn cross section is deformed by the<br />

bending and compression. Original circular cross-sectional shape changes to Kemp’s cross-section. This<br />

shape may be changed to elliptical cross section, with general axes A, B. Where A is enlargement, B is<br />

compression, see figure 2.<br />

Figure 2 Deformed cross section of yarn in binding point<br />

Geometrical parameters were measured from the images of textile cross sections. Warp thread spacing p 1<br />

[µm], weft thread spacing p 2 [µm], warp enlargement A 1 [µm], weft enlargement A 2 [µm], warp compression<br />

B 1 [µm], weft compression B 2 [µm] and amplitudes of warp and weft binding waves h 1 and h 2. , were<br />

measured by means of image analysis on figure 3. From the measured data of enlargement and<br />

compression are calculated values of flattening of yarn in binding point<br />

γ = A/B (1)<br />

Figure 3: Cut of warp binding wave<br />

The influence of weft sett, of finishing of fabric and type of yarn on yarn’s geometry in binding point is<br />

discussed with reference to flattening parameter. It is plotted in figure 4.<br />

Parameters<br />

2<br />

1,9<br />

1,8<br />

1,7<br />

1,6<br />

1,5<br />

Flattening of yarn<br />

A1/B1[1]<br />

A2/B2[1]<br />

B 16 B 20 B 24 R 16 R 20 R 24<br />

Fabric<br />

Parameters<br />

2,6<br />

2,4<br />

2,2<br />

2<br />

1,8<br />

1,6<br />

Flattening of yarn<br />

A1/B1[1]<br />

a. b.<br />

A2/B2[1]<br />

A 14 A 16,5 A 19 R 14 R 16,5 R 19<br />

Fabric<br />

Figure 4: Dependence of yarn’s flattening in fabric’s binding point on weft thread count and finish of fabrics: a) fabrics<br />

from single yarn, b) fabrics from ply yarn<br />

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2 nd INTERNATIONAL TEXTILE, CLOTHING & DESIGN CONFERENCE – Magic World of <strong>Textil</strong>es<br />

October 03 rd to 06 th 2004, DUBROVNIK, CROATIA<br />

From values of flattening in binding point, it was found: Increasing weft sett hasn’t influence on values of<br />

yarn’s flattening in binding point on fabric from single yarn. But increasing weft sett on fabric from ply yarn<br />

influences yarns flattening. Finishing of fabric influences flattening. Weft yarns are more deformed in the<br />

finished fabric. Warp yarns are more deformed in the gray fabric by contrast.<br />

2.2 Waviness of yarn in cut of fabric<br />

Waviness of yarn in cut of fabric is described with warp and weft thread spacing, see figure 5; and with warp<br />

and weft amplitude of binding wave, see figure 6. Difference between values of warp thread spacing isn’t<br />

statistically insignificant in gray and finished fabrics too. Values of warp thread spacing are different in<br />

dependence on weft thread count. From experiment it was found, that the weft threads spacing decreases<br />

with increasing of weft thread count for all fabrics. Increasing weft sett hasn’t influence on weft thread<br />

spacing.<br />

In consequence with finishing, warp thread spacing of finished fabric is lower than warp thread spacing of<br />

gray fabric; even the original sett on the machine is the same. The difference is statistically insignificant.<br />

Finishing doesn’t influence values of thread spacing.<br />

Warp and weft thread spacing<br />

Warp and weft thread spacing<br />

p1[µm]<br />

p2[µm]<br />

p1[µm]<br />

p2[µm]<br />

Thread spacing<br />

700<br />

650<br />

600<br />

550<br />

500<br />

450<br />

400<br />

B 16 B 20 B 24 R 16 R 20<br />

Fabric<br />

Thread spacing<br />

800<br />

700<br />

600<br />

500<br />

400<br />

A 14 A 16,5 A 19 R14 R16,5 R19<br />

Fabric<br />

a. b.<br />

Figure 5: Dependence of thread spacing on weft thread count and finishing of fabrics: a) fabrics from single yarn; b)<br />

fabrics from ply yarn<br />

Mean value of warp amplitude of binding wave decrease with increasing weft thread count. Mean value of<br />

weft amplitude of binding wave increase with increasing weft thread count for all fabric; without reference to<br />

finishing of fabric and type of yarn. Weft thread spacing decreases and length of binding wave increases with<br />

increasing weft thread count. It means, that longer yarn’s segment is bent more than shorter. So, increasing<br />

weft thread count influences geometry of all fabrics. For fabric from single yarn, ply yarn, for gray or finished<br />

too.<br />

Warp and weft high of binding wave<br />

Warp and weft high of binding wave<br />

h1[µm]<br />

h2[µm]<br />

h1[µm]<br />

h2[µm]<br />

High of binding wave<br />

210<br />

190<br />

170<br />

150<br />

130<br />

B 16 B 20 B 24 R 16 R 20 R 24<br />

Fabric<br />

High of binding wave<br />

340<br />

290<br />

240<br />

190<br />

140<br />

A 14 A 16,5 A 19 R 14 R 16,5 R 19<br />

Fabric<br />

a. b.<br />

Figure 6: Dependence of amplitude of binding wave on weft thread count and finish of fabrics: a) fabrics from single<br />

yarn; b) fabrics from ply yarn<br />

Influence of finishing on amplitude of binding wave is showed through flattening of yarns in binding point and<br />

through thread spacing. Values of yarn’s flattening are generally higher for gray fabric and thread spacing<br />

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2 nd INTERNATIONAL TEXTILE, CLOTHING & DESIGN CONFERENCE – Magic World of <strong>Textil</strong>es<br />

October 03 rd to 06 th 2004, DUBROVNIK, CROATIA<br />

values are generally less for gray fabric. Consequently are high of warp thread of gray fabric higher than for<br />

finished fabric.<br />

2.3 Result<br />

Generally it was found: It is impossible to tell, that deformation of yarn in binding point depends on change of<br />

weft thread count for all fabrics. Deformation of yarn in binding point depends on weft thread count only for<br />

fabric from twisted yarn.<br />

Shape of binding wave (waviness) is described with warp and weft thread spacing and warp and weft<br />

amplitude of binding wave for all fabric. Values of these parameters depend on change of weft thread count.<br />

Fabric’s finishing influences all fabric parameters within thread spacing. It can be say that arrangement of<br />

yarn in fabric depends on fabric’s finishing.<br />

3. Yarn’s geometry in plane of fabric<br />

Laboratory classification procedure was developed to measure of yarn’s geometry in plane of fabric image<br />

analysis Lucia G to use (optimal size of sample and zoom, scanning of fabric’s picture, modification and<br />

transformation of fabric’s picture to the same scanning dates from picture).<br />

Every unloaded picture was processed in the same way to be like each other to detect boundary-line<br />

between body yarn and gaps between separate yarns. Scanned coloured images were transformed<br />

independently in RGB components. These RGB components (red, green and blue) are the same for all<br />

images. Colour picture was then transformed on so-called overlay picture.<br />

Another modification was morphological erosion and dilation of image. Erosion removes a layer of pixels all<br />

around an object. An object with thinner sections compared to matrix structuring element breaks into two<br />

parts. Dilation expands objects and structures in a binary image. Neighbouring objects are connected and<br />

small holes are filled. Overlay image was transformed to binary image. Examples of binary images are<br />

showed in figure 7.<br />

a. b.<br />

Figure 7: Binary image of a) fabrics from ply yarn; b) fabrics from single yarn<br />

From binary images were measured data on function interactive length measurement. The influence of weft<br />

sett and finishing and yarn’s type on fabric’s geometry is discussed with reference to gaps (distance between<br />

two neighbours yarns) and to yarn’s diameter D 1 a D 2 between two binding points. These parameters are<br />

changed unambiguously with weft thread count. Comparison of diameters D 1 , D 2 a D is showed in the figure<br />

8. D is diameter of free yarn.<br />

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2 nd INTERNATIONAL TEXTILE, CLOTHING & DESIGN CONFERENCE – Magic World of <strong>Textil</strong>es<br />

October 03 rd to 06 th 2004, DUBROVNIK, CROATIA<br />

Comparison of yarn's diameters<br />

0,28<br />

D1 D2 D Comparison of yarn's diameters<br />

0,5<br />

D1 D2 D<br />

Diameter [mm]<br />

0,26<br />

0,24<br />

0,22<br />

Diameter [mm]<br />

0,45<br />

0,4<br />

0,35<br />

0,2<br />

B16 B20 B24 R16 R20 R24<br />

Fabric<br />

0,3<br />

A14 A165 A19 R14 R165 R19<br />

Fabric<br />

a. b.<br />

Figure 8: Comparison of yarn’s diameters for a) fabrics from single yarn; b) fabrics from ply yarn<br />

Difference between parameters values is statistically significant for gray and finished fabrics. Finishing of<br />

fabric influences shape of binding wave in plane of fabric. In accordance with yarn’s diameter measured<br />

between binding points it is possible to find: Weft yarns are more deformed in the finished fabric. Warp yarns<br />

are more deformed in the gray fabric by contrast.<br />

3.1 Comparison of woven-in yarn diameters D 1 , D 2 with enlargement in binding point of fabric A 1 , A 2<br />

Diameters of woven-in yarns are measured in plane of fabric and enlargements of yarn in binding point are<br />

measured in cut of binding wave of fabric. According to assumption are more deformed yarns in binding<br />

point. Loading leads to compression of yarns and it is transferred to yarn’s section between two binding<br />

points. The difference of yarn’s deformations in binding point and between two binding points is smaller for<br />

finished fabrics than gray fabrics. Single yarn is more deformed than ply yarn.<br />

Comparison of diameter and enlargement<br />

A1 D1 A2 D2<br />

0,5<br />

Parameters [mm]<br />

0,45<br />

0,4<br />

0,35<br />

0,3<br />

0,25<br />

0,2<br />

A14<br />

A16,5<br />

A19<br />

R14<br />

R16,5<br />

R19<br />

B16<br />

Fabric<br />

B20<br />

B24<br />

R16<br />

R20<br />

R24<br />

Figure 9: Comparison of warp and weft diameters and warp and weft enlargement for all fabrics.<br />

3.2 Result<br />

Generally it is possible to tell for all fabrics: Values of weft and warp parameters decrease with increasing<br />

weft thread count and the difference between values is statistically significant for all fabric. Mean values of<br />

parameters are higher for gray fabrics than for finished fabrics. So, waviness in plane of fabric depended on<br />

weft thread count. All parameters values of all fabrics are depended on fabric’s finishing. It can be say that<br />

finishing influences arrangement of yarn in plane of fabric.<br />

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2 nd INTERNATIONAL TEXTILE, CLOTHING & DESIGN CONFERENCE – Magic World of <strong>Textil</strong>es<br />

October 03 rd to 06 th 2004, DUBROVNIK, CROATIA<br />

4. Conclusion<br />

Single yarn’s deformation in binding point isn’t depended on weft sett. In contrast, ply yarn’s deformation is<br />

depended on weft thread count. Shape of binding wave is described with thread spacing and amplitude of<br />

binding wave. Weft thread count influences values of these parameters. Arrangement of yarn in cut of fabric<br />

is depend on fabric’s finishing. Finishing doesn’t influence values of thread spacing. Arrangement of yarn<br />

and deformation in plane of fabric is depend on weft thread count and on fabric’s finishing.<br />

Comparison of both methodic was made with respect to thread spacing. The difference between values from<br />

both methodic doesn’t exceed 15% for all fabrics. For any fabric are these values the same.<br />

Acknowledgements:<br />

This work was supported by the research project LN 00 B090 of Czech Ministry of Education.<br />

References<br />

[1] Nosek, S.: Structure and geometry of fabrics (in Czech), VÚB, Usti nad Orlici, (1974)<br />

[2] Kovar, R.: Structure and properties of flat fabrics (in Czech), TU of Liberec, 80-7083-676-8,<br />

Liberec, (2003)<br />

[3] Drasarova, J.: Thread deformation in fabric’s binding point (in Czech). Liberec, (2003)<br />

[4] Composite authors: Internal standards. Research centre <strong>Textil</strong>e, Liberec, (2002)<br />

Iva MERTOVA, M.Sc.<br />

Technical university of Liberec<br />

Hálkova 6, 461 17 Liberec, Czech Republic<br />

Phone: +(420) (48) 535 3628 Fax: +(420) (48) 535 3542 E-mail: iva_mertova@vslib.cz<br />

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