study of relationship between seam slippage& strength

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Study of relationship between seam slippage strength & basic mechanical & structural properties of woven fabric & development of empirical co-relationship with correlation regression analysis PROJECT SUBMITTED BY:- ABDUR RAHIM KHAN Tousif Ahmed Sardar ASIF SHAIKH Gourav Kundu Under the supervision of Prof. Anirban dutta

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Page 1: Study of relationship between seam slippage& strength

Study of relationship between seam slippage strength & basic

mechanical & structural properties of woven fabric & development of

empirical co-relationship with correlation regression analysis

PROJECT SUBMITTED BY:-

ABDUR RAHIM KHANTousif Ahmed SardarASIF SHAIKHGourav Kundu

Under the supervision ofProf. Anirban dutta

Page 2: Study of relationship between seam slippage& strength

CONTENT

1.Introduction Seam Seam slippage. Factors affecting to seam slippage

2.Literature review.

3.Process Parameter

4.Project plan

5.Test result

6.Result analysis

7. Summarization

8.Conclusion

9.Reference

Page 3: Study of relationship between seam slippage& strength

ABSTRACT

Seam slippage is one of the most objectionable faults in case of woven garments and it degrades the product quality and hampers the brand image of the manufacturer very badly.

Hence it is very essential to analyse various factors influencing seam slippage or seam slippage strength for woven garment and it is also essential to establish mathematical relationship or co-relation regression between seam slippage strength and various processing parameters.

Also the mechanical and structural properties of the woven fabric play an important role in occurrence of seam slippage in garment.

Therefore it is essential to analyse the influence various structural properties of the fabric on seam slippage keeping the other sewing parameters unchanged.

Page 4: Study of relationship between seam slippage& strength

In our present research work fabric sample are different G.S.M.,cover factor,thickness value are used and stitched sample are formed using super imposed seam on single needle lock stitch machine keeping the embroidery thread , needle number ,thread tension unchanged, followed by testing of seam slippage strength for all those stitch samples.

Mathematical relationship and graphical analysis are carried out to measure the dependency and co-relation between seam slippage strength and the structural parameters of woven fabric.

Page 5: Study of relationship between seam slippage& strength

2. INTRODUCTION

A seam is the join where two or more layers of fabrics are held together with stiches

The noun definition according to the online dictionary: – 1. Its the 'line' that is formed by sewing together

pieces of cloth. – 2. Its the stitches used to make such a line.

1. introduction to SEam

Page 6: Study of relationship between seam slippage& strength

According to BS 3870 Seam Are Classified Into Eight Categories:

1.Class1 (Superimposed Seam).

2.Class2 (Lapped Seam).

3.Class3 (Bound Seam).

4.Class4 (Flat Seam).

Page 7: Study of relationship between seam slippage& strength

5.Class5 (Decorative Stitching).

6.Class6 (Edge Neatening).

7.Class7 (Addition Of Separate Items).

8.Class8 (Belt Loop).

Page 8: Study of relationship between seam slippage& strength

Stiches used for making garment are:-According to British Standard Stitches Are Classified Into

Six Categories:

1. STITCH CLASS 100 (Chain Stitches).2. STITCH CLASS 200 (Hand Stitches).3. STITCH CLASS 300 (Lock Stitches)4. STITCH CLASS 400 (Multi-Thread Chain Stitches).5. STITCH CLASS 500 (Over Lock stitches).6. STITCH CLASS 600 (Covering Chain Stitches).

Page 9: Study of relationship between seam slippage& strength

2. INTRODUCTION TO SEAM SLIPPAGE

Seam slippage is the pulling away or separation of the fabric at the seam, causing gaps or holes to develop. It involves warp and weft threads pulling apart, but not yarn breakage.

Seam slippage occurs when the density of the fabrics or the construction is low, less warp and weft per inch. Sometimes seam slippage occurs when the finished chemical, like resin or silicon is added on the surface of the fabric. This makes the fabric yarns to be more slippery and also reduces the tensile strength of the fabric.

Page 10: Study of relationship between seam slippage& strength

3. FACTORS AFFECTING TO SEAM SLIPPAGE

Many factors are identified which have direct or indirect influences on seam slippage like fabric density (picks per inch and ends per inch), shrinkage of the fabric, SPI or stitch density, weight of the fabric, rpm of the machine, GSM of the fabric , cover factor of the fabric etc.

Seam slippage occurs on woven fabric, when yarns slide together along other yarns or a line of stitching.

Seam slippage occurs with a low stitch count, insufficient tension on threads, or improper stitch and seam selection

Page 11: Study of relationship between seam slippage& strength

Slippage will more likely to occur in fabrics that have filament yarns, low counts and unbalanced weave.

Seam slippage may also be affected by stitch type and size, tension, seam type and size, thread used for sewing and excessive use of fabric lubricant.

Some yarns are highly twisted, smooth, and slippery making them more prone to slippage.

Page 12: Study of relationship between seam slippage& strength

Sizing applied in manufacturing sometimes help stabilize the fabric, but may be adversely affected by moisture and perspiration. Breakup of the sizing will occur during the agitation necessary for dry cleaning.

Seams may be sewn or constructed improperly with insufficient stitches per inch.

Very shallow seam allowances may have been used. Strain on the fabric at the seams will allow slippage to take place.

If the item is an extremely tight fit, excessive stress and strain occurs during wear.

Page 13: Study of relationship between seam slippage& strength

2. LITERATURE REVIEW

1). According to Ms. Anita a Desai [02 ], this paper represents the Seam strength and Seam slippage of fabrics. Different types of stitches and different types of sewing thread s and their affect, construction on the above mentioned properties have also been reviewed.

• The five major contributors to seam strength include:-– 1. Fabric type and weight.– 2. Thread type and size.– 3. Stitch and seam construction.– 4. Stitches per inch.– 5. Stitch balance.

• Below is one formula that was developed for estimating the seam strength on woven fabrics.

• SPI* Thread Strength* 1.5 = Estimated seam strength (for lockstitch 301).

Page 14: Study of relationship between seam slippage& strength

Seam slippage also depends upon different force like breaking force of rupture, a minimum elongation, or both are required to determine the sewn seam slippage, or seam integrity of a fabric for a specified end use.• So a thorough knowledge of different types of stitches, analyze the

different parameters of sewing thread and also different types of sewing threads and their affect o is required for the garment manufacturing process. Also this paper reviews about thread construction, twist, application, size and other parameters.

2). According to Bharani M., Shiyamaladevi P.S.S. and Mahendra Gowda R.V [03], In the present work, the quality of fabric samples was controlled, now the garment longevity depends on the seam parameters like various factors such as seam strength, seam slippage, seam puckering and yarn severance.

• In the present work, fabrics of different blend proportions i.e., cotton and was prepared with different woven structures like plain, twill, satin. These fabrics were treated with fabric softener like silicone.

• The fabric samples of plain weave were found to have greater seam performance than the twill and satin. Various other factors influencing the seam strength and seam slippage are also discussed in detail. The final observation table as per there is as furnished below :-

Page 15: Study of relationship between seam slippage& strength

Sl. No.

Breaking Load at 6.0 mm opening (Kgf) Seam Opening(mm)

Warp Weft Warp Weft

With Finish

Without Finish

With Finish

Without Finish

With Finish

Without Finish

With Finish

Without Finish

1 9.2 8.1 19.9 19.3 6 6 1.3 3.7

2 8.5 8.2 20 19.4 6 6 3.2 2.6

3 8.6 8.2 19.8 19.5 6 6 1.9 5.4

Mean 8.8 8.2 19.9 19.4 6 6 2.1 3.9

Table no. :- 1

Cotton-Plain Fabric Seam Slippage (6.0mm seam opening)

Page 16: Study of relationship between seam slippage& strength

3). According to( Behera, 1997b; Kothari, 1999), Seam slippage is expressed as the transverse ratio of seam strength to fabric strength including the ratio of elongation of fabric to the ratio of elongation at the seam. Any movements of warp & weft yarns away from a seam line under transverse stresses exacerbate the potential slippage.

4). According to (Behera et al., 1997a; Behera & Sharma, 1998; Tarafdar et al., 2005; Gurada, 2008) have suggested measuring seam slippage according to the ASTM 1683-04 standard for evaluation of seam quality. In this standard, the force required for slippage of 0.6mm of seam has been determined.

The measurement of seam slippage from the ASTM 1683-04 standard is well established as an international standard and most apparel industries follow this method to evaluate seam slippage.

Page 17: Study of relationship between seam slippage& strength

3. PROCESS PARAMETER

FABRIC

THREAD

SNLS M/C

SEAM

SPI: - 11

SIRUBA-L818F-M1

NEEDLE: - 14

WOVEN

SUPER IMPOSED

40 TEX

SPUN POLYESTER

Coats

Page 18: Study of relationship between seam slippage& strength

Determination of seam slippage strength for all the 3 stitched samples of each fabric & determine the average seam slippage strength of each fabric.

Collection of 8 sample (woven) of different GSM

Collection of 8 sample (woven) of different GSM

Testing for GSM, cover factor , thickness

Testing for GSM, cover factor , thickness

Cutting of 6 strips of each sample:- length 25 cm, width

15 cm

Cutting of 6 strips of each sample:- length 25 cm, width

15 cm

Sewing to join two strips together in snls m/c to get three stitched samples from each fabric.

4. PLAN OF ACTION

Page 19: Study of relationship between seam slippage& strength

Establishing mathematical & graphical relationship

between

Establishing mathematical & graphical relationship

between

Discuss & analysis mathematically all the relationship established

above

Discuss & analysis mathematically all the relationship established

above

3. Thickness vs. seam slippage strength3. Thickness vs. seam slippage strength

5. (GSM*thickness) vs. seam slippage strength5. (GSM*thickness) vs. seam slippage strength

4.( GSM * cover factor ) vs. seam slippage strength4.( GSM * cover factor ) vs. seam slippage strength

1. GSM vs. seam slippage strength 1. GSM vs. seam slippage strength

2. Cover factor vs. seam slippage strength2. Cover factor vs. seam slippage strength

Page 20: Study of relationship between seam slippage& strength

Fabric Sample No: GSM Cover factor Thickness

Seam slippage strength

AP-1-13 73.90 20.56 0.12 4.85

AP-2-13 64.60 18.46 0.11 4.07

AP-3-13 217.60 18.83 0.36 5.97

AP-4-13 104.60 20.96 0.16 4.28

AP-5-13 274.00 21.55 0.37 7.80

AP-6-13 64.30 12.97 0.09 3.95

AP-7-13 129.45 18.23 0.30 4.70

AP-8-13 240.90 23.25 0.39 7.19

5. TEST RESULT

Table no:- 2

Table no:- 3

Table no:- 4

Table no:- 5

Page 21: Study of relationship between seam slippage& strength

6. RESULT ANALYSIS1.GSM Vs. Seam slippage strength

TABLE NO.-6TABLE FOR REALTIONSHIP BETWEEN GSM & SEAM

SLIPPAGE STRENGTH

GSM(GM/M2)X1

SEAM SLIPPAGE

STRENGTH(KG/CM2)(Y0)

CORRELATION COEFFICIENT

BETWEEN (X1& Y0) (R10)

64.30 3.95

0.956842081

64.60 4.0773.90 4.85

104.60 4.28129.45 4.70217.60 5.97240.90 7.19274.00 7.80

50.00 100.00 150.00 200.00 250.00 300.000.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

f(x) = 0.0000000880958 x³ + 0.0000317248 x² − 0.00168822 x + 4.17676547

GSM Vs. Seam slippage strength(kg/cm2)(y0)

SEAM STRENGTH(Kg/cm2)(Y0)Polynomial (SEAM STRENGTH(Kg/cm2)(Y0))

Y0 = 9E-08X13 + 3E-05X1

2 - 0.0017X1 + 4.1768………(1.1)

Page 22: Study of relationship between seam slippage& strength

X1 Y0 Y=logY0 X12 Y*X1

1 73.90 4.85 0.6857 5461.21 50.67632 64.60 4.07 0.6096 4173.16 39.37983 217.60 5.97 0.7757 47349.76 168.79924 104.60 4.28 0.6314 10941.16 66.04905 274.00 7.80 0.8921 75076 244.43396 64.30 3.95 0.5966 4134.49 38.36127 129.45 4.70 0.6721 16757.3025 87.00318 240.90 7.19 0.8567 58032.81 206.3860

TOTAL 1169.35 5.7200 221925.89 901.0885

Table for calculation of exponential equation for GSM(x1) vs. Seam slippage strength(y0)

The exponential equation is Y0=abX1

Taking logarithm of both the sides with base 10log Y0 = log a + (x1)log b

ASSUMING log Y0 = Y , log a = A , log b = B , we have Y =BX1 + A

As per description the equations according to fitting normal curve by least square

method are 8A + 1169.35B = 5.7200

1169.35A + 221925.89B = 901.0885

By solving this above two equation we get,Y0=1.54*1.003X1------------(1.2)

Page 23: Study of relationship between seam slippage& strength

Table for calculation of exponential equation for GSM(x1) vs. Seam slippage strength(y0)

The exponential equation is Y0=aX1b

Taking logarithm of both the sides with base 10log Y0 = log a + blogX1

Assuming log Y0 = Y , log a = A , logX1 = X , we have Y =BX + A

Using fitting exponential curve we get the following table

SL. No. X1 Y0 X=logX1 Y=logY0 X2 Y*X

1 73.90 4.85 1.87 0.6857 3.491832037 1.2814

2 64.60 4.07 1.81 0.6096 3.276941769 1.1035

3 217.60 5.97 2.34 0.7757 5.464649091 1.8134

4 104.60 4.28 2.02 0.6314 4.078508225 1.2752

5 274.00 7.80 2.44 0.8921 5.942627807 2.1747

6 64.30 3.95 1.81 0.5966 3.269626923 1.0788

7 129.45 4.70 2.11 0.6721 4.46097509 1.4195

8 240.90 7.19 2.38 0.8567 5.673146542 2.0406

TOTAL 16.78 5.7200 35.66 12.1871

As per description the equations according to fitting normal curve by least square method are

8A + 16.78B = 5.7200

16.78A + 35.66B = 12.1871

By solving this above two equation we getY0=0.75*X1

2.51------------(1.3)

Page 24: Study of relationship between seam slippage& strength

2. COVER FACTOR VS. SEAM SLIPPAGE STRENGTH

TABLE NO.-7TABLE FOR REALTIONSHIP BETWEEN COVER

FACTOR & SEAM SLIPPAGE STRENGTH

COVER FACTOR (X2)

SEAM SLIPPAGE STRENGTH(KG/C

M2)(Y0)

CORRELATION COEFFICIENT

BETWEEN (X2& Y0) (R20)

12.97 3.95

0.335078897

18.23 4.70

18.46 4.07

18.83 5.97

20.56 4.85

20.96 4.2821.55 7.80

23.25 7.19

12.00 14.00 16.00 18.00 20.00 22.00 24.000.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

COVER FACTOR(X2) VS SEAM SLIPPAGE STRENGTH(Y0)

SEAM STRENGTH(Kg/cm2)(Y0)

Polynomial (SEAM STRENGTH(Kg/cm2)(Y0))

Y0 = 416.45X33 - 226.84X3

2 + 40.162X3 + 2.0721………….(3.1)

Page 25: Study of relationship between seam slippage& strength

  X2 Y0 Y=logY0 X22 Y*X2

1 20.56 4.85 0.6857 422.58889 14.0968

2 18.46 4.07 0.6096 340.79331 11.2535

3 18.83 5.97 0.7757 354.38686 14.6033

4 20.96 4.28 0.6314 439.41126 13.2364

5 21.55 7.80 0.8921 464.55984 19.2279

6 12.97 3.95 0.5966 168.19675 7.7373

7 18.23 4.70 0.6721 332.17438 12.2494

8 23.25 7.19 0.8567 540.54837 19.9187

TOTAL 154.80   5.7200 3062.66 112.3232

Table for calculation of exponential equation for cover factor(x2) vs. Seam slippage strength(y0)

The exponential equation is y0=abx2

Taking logarithm of both the sides with base 10Log Y0 = log a + (x2)logb

Assuming log Y0 = Y , log a = A , log b = B , we have Y =BX2 + A

As per description the equations according to fitting normal curve by least square

method are 8A + 154.80B = 5.7200

154.80A + 3062.66B = 112.3232

By solving this above two equation we get,Y0=1.76*1.06X

2------------(2.2)

Page 26: Study of relationship between seam slippage& strength

Table for calculation of exponential equation for cover factor(x2) vs. Seam slippage strength(y0)

SL. No. X2 Y0 X=logX2 Y=logY0 X2 Y*X

1 20.56 4.85 1.31 0.6857 1.723861 0.9004

2 18.46 4.07 1.27 0.6096 1.603378 0.7719

3 18.83 5.97 1.27 0.7757 1.624959 0.9889

4 20.96 4.28 1.32 0.6314 1.746192 0.8344

5 21.55 7.80 1.33 0.8921 1.778278 1.1896

6 12.97 3.95 1.11 0.5966 1.238566 0.6640

7 18.23 4.70 1.26 0.6721 1.589322 0.8473

8 23.25 7.19 1.37 0.8567 1.867096 1.1706

TOTAL     10.25 5.7200 13.17 7.3671

As per description the equations according to fitting normal curve by least square method are

8A + 10.25B = 5.7200

10.25A + 13.17B = 7.3671

By solving this above two equation we getY0=0.27*X2

10------------(2.3)

Using fitting exponential curve we get the following tableThe exponential equation is y0=ax2

b

Taking logarithm of both the sides with base 10

Log y0 = log a + blogx2

Assuming log y0 = y , log a = a , logx2 = x , we have y =bx + a

Page 27: Study of relationship between seam slippage& strength

3. Thickness vs. Seam slippage strength

TABLE NO.-8

Table for relationship between thickness & seam slippage strength

Thickness (mm)(x3)

Seam slippage strength(kg/cm2

)(y0)

Correlation coefficient

between (x3& y0) (r30)

0.09 3.95

0.860509626

0.11 4.07

0.12 4.85

0.16 4.28

0.30 4.70

0.36 5.97

0.37 7.800.39 7.19

Y0 = 416.45X33 - 226.84X3

2 + 40.162X3 + 2.0721………….(3.1)

0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.450.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

THICKNESS(X3) Vs. SEAM SLIPPAGE STRENGTH(Y0)

SEAM STRENGTH(Kg/cm2)(Y0)

Polynomial (SEAM STRENGTH(Kg/cm2)(Y0))

Page 28: Study of relationship between seam slippage& strength

  X3 Y0 Y=logY0 X32 Y*X3

1 0.12 4.85 0.6857 0.013225 0.0789

2 0.11 4.07 0.6096 0.0121 0.0671

3 0.36 5.97 0.7757 0.126025 0.2754

4 0.16 4.28 0.6314 0.0256 0.1010

5 0.37 7.80 0.8921 0.133225 0.3256

6 0.09 3.95 0.5966 0.007225 0.0507

7 0.30 4.70 0.6721 0.087025 0.1983

8 0.39 7.19 0.8567 0.148225 0.3298

TOTAL 1.87   5.7200 0.5527 1.4268

Table for calculation of exponential equation constants (series 1) for thickness(x3) vs. Seam slippage strength(y0)

The exponential equation is y0=abx3

Taking logarithm of both the sides with base 10Log y0 = log a + (x3)logb

Assuming log y0 = y , log a = a , log b = b , we have y =bx3 + a

As per description the equations according to fitting normal curve by least square

method are 8A + 1.87B = 5.7200

1.87A +0.5527 B = 1.4268

By solving this above two equation we get,Y0=3.42*5.96X

3------------(3.2)

Page 29: Study of relationship between seam slippage& strength

Table for calculation of exponential equation constants (series 1) for thickness(x3) vs. Seam slippage strength(y0)

SL. No. X3 Y0 X=logX3 Y=logY0 X2 Y*X

1 0.12 4.85 -0.94 0.6857 0.882289 -0.6441

2 0.11 4.07 -0.96 0.6096 0.918928 -0.5844

3 0.36 5.97 -0.45 0.7757 0.202295 -0.3489

4 0.16 4.28 -0.80 0.6314 0.633425 -0.5026

5 0.37 7.80 -0.44 0.8921 0.191588 -0.3905

6 0.09 3.95 -1.07 0.5966 1.146144 -0.6387

7 0.30 4.70 -0.53 0.6721 0.281089 -0.3563

8 0.39 7.19 -0.41 0.8567 0.171843 -0.3551

TOTAL     -5.60 5.7200 4.43 -3.8206

As per description the equations according to fitting normal curve by least square method are

8A -5.6B = 5.7200

5.6A - 4.43B = 3.8206

By solving this above two equation we getY0=9.27X3

2.29------------(3.3)

Using fitting exponential curve we get the following tableThe exponential equation is y0=ax3

b

Taking logarithm of both the sides with base 10

Log y0 = log a + blogx3

Assuming log y0 = y , log a = a , logx3 = x , we have y =bx + a

Page 30: Study of relationship between seam slippage& strength

4.(GSM*COVER FACTOR) Vs. SEAM SLIPPAGE STRENGTH

TABLE NO.-9

Table for relationship between (GSM*cover factor) & Seam slippage strength

GSM*cover factor(xgc)

Seam slippage strength(kg/cm2

)(y0)

Correlation coefficient

between (xgc& y0) (rgc0)

833.91 3.95

0.974193386

1192.55 4.07

1519.16 4.85

2192.64 4.28

2359.31 4.70

4096.36 5.97

5600.85 7.19

5905.7 7.80

Y0 = 2E-17XGC5 - 4E-13XGC

4 + 3E-09XGC3 - 8E-06XGC

2 + 0.0106XGC - 0.8878…………(4.1)

0 1000 2000 3000 4000 5000 6000 70000.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

(GSM*COVER FACTOR) Vs. seam slippage strength((Y0)

SEAM STRENGTH(Kg/cm2)(Y0)

Polynomial (SEAM STRENGTH(Kg/cm2)(Y0))

Page 31: Study of relationship between seam slippage& strength

  XGC Y0 Y=logY0 XGC2 Y*XGC

1 1519.16 4.85 0.6857 2307847.106 1041.7514

2 1192.55 4.07 0.6096 1422175.503 726.9718

3 4096.36 5.97 0.7757 16780165.25 3177.6766

4 2192.64 4.28 0.6314 4807670.17 1384.5289

5 5905.70 7.80 0.8921 34877292.49 5268.4431

6 833.91 3.95 0.5966 695405.8881 497.5083

7 2359.31 4.70 0.6721 5566343.676 1585.6872

8 5600.85 7.19 0.8567 31369520.72 4798.4100

TOTAL 23700.48   5.7200 97826420.80 18480.9773

Table for calculation of exponential equation constants (series 1) for (GSM*cover factor) (x1*x2) vs. Seam slippage strength(y0)

The exponential equation is y0=abxgc

Taking logarithm of both the sides with base 10Log y0 = log a + (xgc)logb

Assuming log y0 = y , log a = a , log b = b , we have y =bxgc + a

As per description the equations according to fitting normal curve by least square

method are 8A + 23700.48B = 5.7200

23700.48A + 97826420.8B = 18480.9773

By solving this above two equation we get,Y0=3.67*1.0001X

GC------------(4.2)

Page 32: Study of relationship between seam slippage& strength

Table for calculation of exponential equation constants (series 1) for (GSM*cover factor) (x1*x2) vs. Seam slippage strength(y0)

SL. No. XGC Y0 X=logXGC Y=logY0 X2 Y*X

1 1519.16 4.85 3.18 0.6857 10.1226 2.1818

2 1192.55 4.07 3.08 0.6096 9.464708 1.8754

3 4096.36 5.97 3.61 0.7757 13.04942 2.8023

4 2192.64 4.28 3.34 0.6314 11.16206 2.1096

5 5905.70 7.80 3.77 0.8921 14.22249 3.3643

6 833.91 3.95 2.92 0.5966 8.532937 1.7427

7 2359.31 4.70 3.37 0.6721 11.37568 2.2668

8 5600.85 7.19 3.75 0.8567 14.04941 3.2112

TOTAL     27.02 5.7200 91.98 19.5542

As per description the equations according to fitting normal curve by least square method are

8A + 27.02B = 5.7200

27.02A + 91.98B = 19.5542

By solving this above two equation we getY0=0.37XGC

2.19------------(4.3)

Using fitting exponential curve we get the following tableThe exponential equation is y0=axgc

b

Taking logarithm of both the sides with base 10Log y0 = log a + blogxgc

Assuming log y0 = y , log a = a , logxgc = x , we have y =bx + a

Page 33: Study of relationship between seam slippage& strength

5.(GSM*THICKNESS) VS. SEAM SLIPPAGE STRENGTH

TABLE NO.-10

Table for relationship between thickness & seam slippage strength

GSM*thickness (x)

Seam slippage strength(kg/cm2

)(y0)

Correlation coefficient

between (x5& y0) (r130)

5.47 3.95

0.955644343

7.11 4.07

8.50 4.85

16.74 4.28

38.19 4.70

77.25 5.97

92.75 7.19

100.01 7.80

Y0 = 6E-06XGT3 - 0.0005XGT

2 + 0.0259XGT+ 4.0837……..(5.1)

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

(GSM*THICKNESS) Vs. SEAM SLIPPAGE STRENGTH(Y0)

SEAM STRENGTH(Kg/cm2)(Y0)

Polynomial (SEAM STRENGTH(Kg/cm2)(Y0))

Page 34: Study of relationship between seam slippage& strength

XGT Y0 Y=logY0 XGT2 Y*XGT

1 8.50 4.85 0.6857 72.233001 5.8281

2 7.11 4.07 0.6096 50.495236 4.3318

3 77.25 5.97 0.7757 5967.2535 59.9237

4 16.74 4.28 0.6314 280.093696 10.5678

5 100.01 7.80 0.8921 10002.0001 89.2184

6 5.47 3.95 0.5966 29.877156 3.2610

7 38.19 4.70 0.6721 1458.32334 25.6661

8 92.75 7.19 0.8567 8602.00601 79.4590

TOTAL 346.00   5.7200 26462.28 278.2560

Table for calculation of exponential equation constants (series 1) for (GSM*thickness)(x1*x3) vs. Seam slippage strength(y0)

The exponential equation is y0=abxgt

Taking logarithm of both the sides with base 10Log Y0 = log a + (xgt)logb

ASSUMING log Y0 = Y , log a = A , log b = B , we have Y =BXGT + A

As per description the equations according to fitting normal curve by least square

method are 8A + 346B = 5.7200

346A + 26462.28B = 278.2560

By solving this above two equation we get,Y0=3.97*1.006X

GT------------(5.2)

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Table for calculation of exponential equation for (GSM*thickness) (x1*x3) vs. Seam slippage strength(y0)

SL. No. XGT Y0 X=logXGT Y=logY0 X2 Y*X

1 8.50 4.85 0.93 0.6857 0.863724562 0.6373

2 7.11 4.07 0.85 0.6096 0.725265487 0.5191

3 77.25 5.97 1.89 0.7757 3.564118246 1.4645

4 16.74 4.28 1.22 0.6314 1.497323403 0.7727

5 100.01 7.80 2.00 0.8921 4.000173711 1.7842

6 5.47 3.95 0.74 0.5966 0.544156479 0.4401

7 38.19 4.70 1.58 0.6721 2.502492761 1.0632

8 92.75 7.19 1.97 0.8567 3.870268782 1.6854

TOTAL     11.18 5.7200 17.57 8.3666

As per description the equations according to fitting normal curve by least square method are

8A + 11.18B = 5.7200

11.18A + 17.57B = 8.3666

By solving this above two equation we getY0=2.83*XGT

1.54------------(5.3)

Using fitting exponential curve we get the following tableThe exponential equation is y0=axgt

b

Taking logarithm of both the sides with base 10Log y0 = log a + blogxgt

Assuming log y0 = y , log a = a , logxgt = x , we have y =bx + a

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7. SUMMERIZATIONY0 = 9E-08X1

3 + 3E-05X12 - 0.0017X1 + 4.1768………………(1.1)

Y0=1.54*1.003X1------------(1.2)

Y0=0.75*X12.51------------(1.3)

Y0 = 0.0391X23 - 2.1304X2

2 + 37.908X2 - 214.39………….(2.1)Y0=1.76*1.06X

2------------(2.2)Y0=0.27*X2

10------------(2.3)

Y0 = 416.45X33 - 226.84X3

2 + 40.162X3 + 2.0721………….(3.1)Y0=3.42*5.96X

3------------(3.2)Y0=9.27X3

2.29------------(3.3)

Y0 = 2E-17XGC5 - 4E-13XGC

4 + 3E-09XGC3 - 8E-06XGC

2 + 0.0106XGC - 0.8878…………(4.1)Y0=3.67*1.0001X

GC------------(4.2)Y0=0.37XGC

2.19------------(4.3)

Y0 = 6E-06XGT3 - 0.0005XGT

2 + 0.0259XGT+ 4.0837……..(5.1)Y0=3.97*1.006X

GT------------(5.2)Y0=2.83*XGT

1.54------------(5.3)

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Seam slippage is a commonly occurred fault that degrades the quality & reduce commercial value of the garment.so it is essential to define seam slippage accurately as a function of different parameters. In the present project work seam slippage strength is analyzed as a function of different fabric parameter so that seam slippage can be controlled by changing fabric parameter accordingly. In the present study the fabric parameters i.e. GSM, cover factor, thickness are considered as the input parameters.GSM :- in our observation & analysis we found an excellent correlation between seam slippage strength with GSM with a value of 0.956 (table no:- 6) which tells that fabric with higher GSM gives higher seam slippage strength .It is explained by the fact that fabric with higher GSM have more compactness & hence generates higher degree of frictional force.

8. CONCLUSION

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Cover factor: - in case of cover factor we found poor correlation with value 0.33(table no: - 7) with seam slippage strength which indicates that the influence of cover factor as an individual parameter. But the product of GSM & cover factor shows a nice cc with value 0.97 (table no: - 9) which indicates these two parameters must be used in combination.

Thickness :- in case of thickness we found nice correlation with value 0.86( table no:- 8) with seam slippage strength which indicates that the thicker fabric shows higher seam slippage strength mostly due to higher surface contact & frictional cohesion with the sewing thread. We also got an excellent cc with value 0.95(table no: - 10) between (GSM*thickness) & seam slippage strength.

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In our present study it is highlighted that significance of fabric GSM on seam slippage strength is most prominent one compare to cover factor, thickness. Several empirical equations are developed for the prediction of seam slippage strength. The equation no. 4.1 can be used for further progress in this research since this equation is based upon maximum correlation. Further work:- 1. Our further plan is to make a multiple regression analysis taking all the input i.e. GSM, cover factor, thickness & develop an empirical equation taking seam slippage strength as a function of GSM, cover factor, thickness.2. It is plan to evaluate the prediction capacities of all those equation derived by taking some sample and calculation of standard error.3. Our plan is to develop a computer program me algorithm based upon the most suitable empirical relationship for prediction of seam slippage strength.

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9. REFERENCE

• 1: Multiple Regression Link:- http://cameron.econ.ucdavis.edu/excel/ex01access.html• 2: Effect of stitches SPI & sewing threads on minimizing seam slippage on fabrics. By: Anita A Desai.• Link:

http://www.fibre2fashion.com/industry-article/technology-industry-article/practical-solutions-to-seam-puckering.asp

• 3:- Characterization of Seam Strength and Seam Slippage on Cotton fabric with woven Structures and Finish.

By:- Bharani M., Shiyamaladevi P.S.S. and Mahendra Gowda R.V. on Research Journal of Engineering Sciences Vol. 1(2), 41-50, August (2012)

Link:- www.isca.in/IJES/Archive/v1i2/6.ISCA-JEngS-2012-046.pdf• 4:- According to (Sumit Mandal, Degree of Master of Philosophy under The Hong

Kong Polytechnic University) Link:- http://cameron.econ.ucdavis.edu/excel/ex01access.html

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