Optimization Model for Tensile Strength Prediction in Woven Upholstery Fabrics Containing Recycled PP
Abstract
1. Introduction
2. Materials and Methods
2.1. Materials and Yarn/Fabric Production
2.2. Fabric Testing and Statistical Analysis
2.3. Statistical Modeling and Optimization Procedure
- r-PP/v-PP blend ratios enabling stable filament yarn production,
- selected weft yarn fineness levels used in upholstery fabric manufacturing.
3. Results and Discussion
4. Conclusions
- Weft tensile strength values are affected by the r-PP/v-PP blend ratio and weft yarn fineness, with higher r-PP content generally causing a slight decrease in strength.
- According to TS 11,818 EN 14465, the minimum tensile strength value of upholstery fabrics is required to be 250 N [30]. It is seen that all fabrics have sufficient strength values.
- Variance analysis confirmed that both the blend ratio and yarn fineness significantly affected weft breaking strength (Sig.(p) < 0.05).
- The optimal weft properties determined by the model were 780 dtex yarn with a 10/90 r-PP/v-PP blend, yielding a predicted breaking strength of 562.45 N, tearing strength of 98.5 N, abrasion resistance of 53,750 cycles, and warp seam slippage of 1.068 mm.
- The regression-based model allows the prediction of physical and performance properties before production, reducing the need for trial runs and associated costs, and can be adapted in future studies to optimize other performance parameters such as abrasion resistance or seam slippage.
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Extruder parameters | Zone-1 Temperature | 210 °C |
| Zone-2 Temperature | 215 °C | |
| Zone-3 Temperature | 225 °C | |
| Zone-4 Temperature | 240 °C | |
| Extruder Speed | 20.1 rpm | |
| Extruder Pressure | 110 bar | |
| Pump Speed | 18 rpm | |
| Drawing unit parameters | Godet-1 Speed | 300 mpm |
| Godet-2 Speed | 650 mpm | |
| Godet-3 Speed | 975 mpm | |
| Winder Speed | 1000 mpm |
| Fabric Code | r-PP/v-PP Blend Ratio in Weft Yarn Structure (%) | Weft Yarn Fineness (dtex) | Weft Density (ends/cm) | Warp Yarn Fineness and Raw Material | Warp Density (ends/cm) | Weave Type | Weight (g/m2) |
|---|---|---|---|---|---|---|---|
| 780-V | 0/100 | 780 dtex | 14 | 333 dtex/PES | 33 | Plain | 252 |
| 780-R10 | 10/90 | 780 dtex | 14 | 333 dtex/PES | 33 | Plain | 253 |
| 780-R20 | 20/80 | 780 dtex | 14 | 333 dtex/PES | 33 | Plain | 243 |
| 1170-V | 0/100 | 1170 dtex | 7 | 333 dtex/PES | 33 | Plain | 218 |
| 1170-R10 | 10/90 | 1170 dtex | 7 | 333 dtex/PES | 33 | Plain | 215 |
| 1170-R20 | 20/80 | 1170 dtex | 7 | 333 dtex/PES | 33 | Plain | 207 |
| Loom speed | 465 r/min |
| Width of weaving machine | 160 cm |
| Width of fabric | 140 cm |
| Weave type | Plain |
| Weft yarn type | Polypropylene yarn |
| Warp yarn type | Polyester yarn |
| Weft yarn fineness | 780 ve 1170 dtex |
| Warp yarn fineness | 333 dtex |
| Weft density | 14 and 7 ends/cm |
| Warp density | 33 ends/cm |
| Performance Property | Source | df | F | Sig.(p) | |
|---|---|---|---|---|---|
| Weft Breaking Strength | Main effect | Blend ratio | 2 | 65.887 | 0.000 * |
| Weft yarn fineness | 1 | 796.750 | 0.000 * | ||
| Interaction | Blend ratio * Weft yarn fineness | 2 | 21.201 | 0.000 * | |
| Independent Variables | Coefficient | t Value | Sig.(p) |
|---|---|---|---|
| Constant | 350.550 | 30.241 | 0.000 |
| Weft yarn fineness | 211.900 | 15.831 | 0.000 |
| Blend ratio | −42.900 | −3.205 | 0.005 |
| Constraints | Lower Limit | Upper Limit | |
| Weft tear strength (N) | WETS = 79.300 + 19.200 × WF − 8 × BR | 15 | - |
| Warp seam slippage (mm) | WASS = 5.423 − 4.355 × WF + 0.155 × BR | - | 6 |
| Abrasion resistant (Cycle) | AS = 41,250 − 7500 × BR + 12,500 × WF | 20,000 | - |
| Weft fineness | WF | 0 | 1 |
| Blend ratio | BR | 0 | 1 |
| Objective function | |||
| Weft breaking strength (N) | WEBS = 350.550 + 211.900 × WF − 42.900 × BR | ||
| Variables | Optimum Values |
|---|---|
| Weft tear strength (WETS) | 98.5 N |
| Warp seam slippage (WASS) | 1.068 mm |
| Abrasion resistant (AS) | 53,750 cycles |
| Weft fineness (WF) | 780 dtex |
| Blend ratio (BR) | 10% r-PP |
| Maximum weft breaking strength (WEBS) | 562.45 N |
| Measured_WEBS | Measured_WETS | Measured_WASS | Measured_AS | ||
|---|---|---|---|---|---|
| Calculated_WEBS | Pearson Correlation | 0.957 ** | 0.311 | −0.963 ** | 0.715 |
| Sig. (2-tailed) | 0.003 | 0.549 | 0.002 | 0.110 | |
| Calculated_WETS | Pearson Correlation | 0.573 | 0.600 | −0.393 | 0.919 ** |
| Sig. (2-tailed) | 0.234 | 0.208 | 0.441 | 0.010 | |
| Calculated_WASS | Pearson Correlation | −0.929 ** | −0.173 | 0.992 ** | −0.542 |
| Sig. (2-tailed) | 0.007 | 0.743 | 0.000 | 0.267 | |
| Calculated_AS | Pearson Correlation | 0.724 | 0.572 | −0.578 | 0.940 ** |
| Sig. (2-tailed) | 0.104 | 0.235 | 0.230 | 0.005 | |
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Esi, B. Optimization Model for Tensile Strength Prediction in Woven Upholstery Fabrics Containing Recycled PP. Processes 2026, 14, 336. https://doi.org/10.3390/pr14020336
Esi B. Optimization Model for Tensile Strength Prediction in Woven Upholstery Fabrics Containing Recycled PP. Processes. 2026; 14(2):336. https://doi.org/10.3390/pr14020336
Chicago/Turabian StyleEsi, Bestem. 2026. "Optimization Model for Tensile Strength Prediction in Woven Upholstery Fabrics Containing Recycled PP" Processes 14, no. 2: 336. https://doi.org/10.3390/pr14020336
APA StyleEsi, B. (2026). Optimization Model for Tensile Strength Prediction in Woven Upholstery Fabrics Containing Recycled PP. Processes, 14(2), 336. https://doi.org/10.3390/pr14020336

