Abstract
Buoyant swimwear is becoming more common in recreational swimming use, so the performance of buoyant fabric is important when designing functional swimwear. In this study, potential buoyant inlaid knitted fabrics for buoyant swimwear are investigated. Three types of knitted structures, half milano, full milano and 1 × 1 rib, are selected and various kinds of tubes and foam rods in different diameters are prepared for inlaying during the knitting process by using a 7 G hand-knitting machine. The mean differences among the levels of three independent variables, (1) inlaid material, (2) yarn and (3) knitted structure, on three dependent variables (net buoyant force, compression and tensile properties) are analyzed by using a multivariate analysis of variance. The result shows that the net buoyant force and mechanical properties of the fabric are significantly different due to the inlaid material and knitted structure, but not the yarn. The net buoyant force increases with fabric thickness and the outer diameter of the inlaid material. The inlaid fabrics are less compressible than the control fabric and show better recoverability with an increase in the diameter of the inlaid material. For the tensile properties, the inlaid material reinforces the fabric in both the wale and course directions, in which the stiffness in the course direction is significantly increased. The inlaid fabric is stronger and resistant to breakage in the course direction when the diameter of the inlaid material is increased. The findings of this study contribute to developments in the textile and sportswear industry.
Buoyant swimwear has gained popularity in the global market 1 and is recommended for beginners because it can reduce risk and instill more confidence in swimmers.2–4 Its use also changes the swimming teaching–learning process. 5 Air and foam are common buoyant media used in swimwear due to their low density 6 and flexibility. 7 Neoprene, expanded polystyrene, polyurethane foam, ethylene vinyl acetate foam, polyethylene (PE) and polyvinyl chloride (PVC) foam are common buoyant media used in swimwear.4,7–12 However, these materials have various drawbacks. Air chambers are susceptible to puncture, which can be dangerous as buoyancy can be lost. 8 Unbalanced buoyant foam blocks can be cumbersome for wearers when they attempt to swim horizontally 7 and extremely bulky due to the uneven distribution of buoyancy in other areas. 13 Thus, the construction and effects of buoyant materials have been investigated by researchers to address the safety and aesthetic needs of customers and the industry.
The development of buoyant fabric with air containers or foam rods has been investigated in several studies.14–17 The thickness and structure of knitted fabric have been found to have a significant effect on the weight, tensile, moisture management and compression properties of the fabric.18–22 The focus of this study is therefore the effect of inlaid material, yarn and knitted structure on the net buoyant force and the compression and tensile properties of buoyant fabric. Polypropylene (PP) fibers are used extensively in commercial swimwear and sportswear23,24 and PP hollow fiber has been used to create buoyant layers for filtration25,26 due to its low density and ability to trap air between the fibers. 27 To maximize swimwear buoyancy, other types of buoyant materials, such as tubes and foam rods, can be used in addition to PP fabric. PVC has been used for flexible medical tubing. 28 It is soft and flexible and thus has potential as buoyant tubes. Silicone is widely used in tissue engineering due to its high chemical inertness and good mechanical properties, 29 and PE foam is prevalent in buoyant swimwear and pool toys30–32 due to its buoyant properties. 30
Inlaid knitting can enable the coarse buoyant materials to be fabricated using a knitting machine, as the inlaid materials that cannot be knitted as part of the loops of the ground structure can be securely incorporated into the fabric. 33 The yarn is initially locked inside the loop and prevented from being hooked on to the knitting needles when the carrier supplies the knitting yarn, and inlay knitting can then be conducted.34,35 The yarn can be laid-in easily in a rib arrangement 36 and also in other forms of double knitted structure in knitted fabric because of the space created between the loops situated on the front and back needle beds. Double knitted structures, including half milano, full milano and 1 × 1 rib, can therefore be used. The half milano structure consists of one row of double jersey and one row of single jersey; the full milano consists of a row of single jersey on the front and back needle beds and a row of double jersey; and the 1 × 1 rib structure consists of one row of double jersey.37,38 Advances in knitting technology have led inlaid knitted fabric structures to be used in structural design, household applications and industrial applications.36,39–43 They have also been applied in compression garments for healthcare and medical uses.44–47
Design of experiments (DOE)
Materials
Knitting materials
Three tubes and two foam rods of various diameters were sourced from the market. PE, PVC and silicone were chosen as they are buoyant, flexible and soft enough to be laid-in during the knitting process. The details and cross-sections of each inlaid tube, the foam rods and the knitting yarn are provided in Table 2 and illustrated in Figure 1. Due to the advantages of the space created with a double knitted structure, half milano, full milano and 1 × 1 rib were selected as the main structures of the knitted fabric for comparison. The configuration of the three knitted structure were simulated using SDS-ONE Apex software (SHIMA SEIKI MFG., Ltd, Japan), as shown in Figure 2. The notations and specification of the three types of double knitted structure are given in Tables 3 and 4.
Scanning electron microscopy images of the cross-sections of (a) 250D hollow polypropylene yarn and (b) 75D/72 F solid polypropylene yarn. Side view of knitted structure simulation of (a) 1 × 1 rib; (b) half milano and (c) full milano. Materials used for the inlay and knitted parts Notation and specifications of the three types of knitted structures Images of the three types of double knitted structures 

Knit stitch (technical face)
Knit stitch (technical back)
Miss stitch
Inlaid material
: Yarn;
: Inlaid material.
Preparation of the buoyant inlaid knitted fabric
Twenty-five buoyant fabric samples consisting of different inlaid materials, yarns and knitted structure were fabricated, and four knitted fabric samples without inlays in three knitted structures were taken as the controls. The fabric samples were knitted on a V-bed hand-knitting machine (Wealmart Asia Limited, China), in which the gap between the two needle beds was adjusted from 4.5 to 8 mm for laying-in the buoyant material. The machine gauge of the V-bed hand-knitting machine (the number of needles per inch) was 7. The weight determining the take-down tension during knitting was pre-set at 364.55 g. The inlaid fabric was knitted using three ends of 75D/72 F 100% solid PP or one end of 250D hollow PP yarn as the knitting yarn and one end of the tube/rod as the inlaid material. All of the samples were prepared under the same knitting tension and parameters, with a dimension of 38 courses that included 25 inlays and 40 wales. The lengths of the inlaid tube and foam rod were set to 337.56 cm with a 2% variation. Both ends of the inlaid tube were blocked by heat fusion. Five replicates were taken for each knitting condition. The details of the sample specifications are given in Table 5 and the inlaid knitted fabrics EPEnH2 and EPE2 are illustrated in Figure 3.
Front view of the inlaid knitted fabric: (a) EPEnH2; (b) EPE2. Specifications of the buoyant inlaid knitted fabrics and the control fabrics PP: solid polypropylene; HPP: hollow polypropylene.
Measurement
To examine the relationships among the inlaid material, yarn and knitted structure on the net buoyant force, the volume of the fabric was measured and the net buoyant force was calculated based on the Archimedes’ principle. This method was validated by using buoyancy measurement systems with a good agreement between the calculated and measured buoyant forces.
48
As the buoyant tubes and foam rods used in this study are highly compressible, the inner and outer diameters of the tubes and the outer diameters of rods were measured in four directions with a stereo microscope (M165C, Leica Microsystems, USA) through a noncontact approach (Figure 4). The fabric thickness was measured by using a dial thickness gauge (Model H, PEACOCK OZAKI MFG. Co., Ltd, Japan) with a measured force that was less than 1.8 N and an accuracy of 0.01 mm. According to Archimedes’ principle, a substance submerged in a liquid displaces a volume of liquid equal to its volume.49,50 Thus, the volume of the fabric was calculated by measuring the volume of the displaced water. Each fabric was tested three times and the mean value obtained from 15 tests was used.
Microscopic view of the P1 tube measured at (a) the outer diameter and (b) the inner diameter.
Volume of fabric
The volume of the inlaid knitted fabric was used to calculate its net buoyant force. 48 The samples were immersed in water for 24 hours in accordance with ISO standard 12402-9:2006. 51 The samples were then taken out and laid flat on a metal rack (in the absence of a ventilating fan) until the interval between every two drops of water was greater than 30 s. It was assumed that the spaces in the fabric samples were completely filled with water after immersion for 24 hours, and that the excess water was removed by laying the fabric samples flat on the rack. The weight of the wet samples was measured by using an electric balance with a resolution of 0.001 g and the mean value of the weight of each sample obtained from the 15 measurements was recorded (as Wf, in grams).
The weight of the container when completely filled with water was measured and recorded (as W1, in grams). The wet sample was submerged in the container by pressing down on the glass lid until there were no air bubbles, and the water was then allowed to drain from the container (Figure 5). After draining, a dry cloth was used to dry the outer wall of the container. The weight of the whole system was measured using an electric balance and recorded (as W2, in grams). The test was repeated three times for each sample.
Method for measuring fabric volume.
The mass of water displaced by the sample in the container is
Net buoyant force of fabric samples
Following Archimedes’ principle, the net buoyant force of the samples is calculated as follows
52
Compression and tensile properties
The linearity of compression, LC, the compression energy, WC (N.m/m2), and the compression resilience, RC (%), were measured in a compression test using an automatic compression tester (KESFB3-AUTO-A, KATO TECH Co., Ltd, Japan). A testing speed of 0.040 mm/sec, compression area of 2 cm 2 and maximum load of 50 g/cm 2 were used. Each fabric sample was tested once on three different regions of the sample. The mean value obtained from the three tests was used. The tensile properties of the samples in both the wale and course directions were measured with an Instron 4411 tensile tester (Instron Co., Ltd, USA). An elongation rate of 100 mm/min and spacing of 5 cm between line clamps were used. As the aim is to replace the foam compartment in conventional buoyant swimwear with the buoyant fabric, a fabric strain at 20% was used and compared instead of using the breaking strain. The maximum load (N) and the energy at the maximum load (J) required to elongate the fabric by 20% of its original length were measured. Three samples were tested for each fabric type and each sample was tested once in both wale and course directions. The samples were conditioned for 24 hours at 20 ± 1℃ and 65% ± 5% relative humidity before measurement and all experiments were carried out at standard laboratory conditions.
Statistical analysis
The data from the experiment were analyzed using SPSS 23 (IBM Corp., Armonk, New York). A multivariate analysis of variance (MANOVA) was used to examine the mean differences among the levels of three different independent variables, (1) inlaid material, (2) yarn and (3) knitted structure, on three dependent variables (net buoyant force, compression and tensile properties). Prior to implementing the MANOVA, the data were evaluated to ensure that the assumptions for the multivariate tests were met. Measurements of skewness and kurtosis, histograms and normal Q–Q plots were examined for the dependent variables (net buoyant force; LC, WC and RC from the compression test; maximum load and energy at maximum load from the tensile test). Observations of these measurements and plots show a normal distribution for the levels of LC, WC and RC. On the other hand, net buoyant force, maximum load and energy at maximum load in both directions were considerably positively skewed. Thus, a logarithm transformation was applied for the net buoyant force and a square root transformation was applied for the maximum load and the energy at the maximum load in both directions. An evaluation of the newly transformed distributions indicated that they were close to a normal curve. The significance level of the statistical analysis was set at 0.05.
Results and discussion
The experimental results are given in Table 6 and plotted in Figures 6–10. The coefficients of variation (CV%) for repeated tests are generally less than 5%. The CV% of the net buoyant force of PV2, SI2 and SIF1 is higher than 5% due to their low buoyancy. Only the independent variables with a significant relationship with the dependent variables in the MANOVA are shown in Table 7. The results of the mechanical properties are given in Appendixes A and B.
The net buoyant force of the buoyant fabrics and the control fabrics. Physical properties and net buoyant force of the knitted fabrics Multivariate analysis of variance summary table Note: all coefficients are rounded to the last two decimals. aLogarithm of net buoyant force. bSquare root of maximum load (wale direction). cSquare root of energy at maximum load (wale direction). dSquare root of maximum load (course direction). eSquare root of energy at maximum load (course direction). fPillai's trace = 2.32, F(
df
= 32, 248) = 10.75, p < .001, η2 = .58. gPillai's trace = .71, F(
df
= 16,120) = 4.13, p < .001, η2 = .36. hNo significant difference found between yarns (Pillai's trace = .13, F(
df
= 8, 59) = 1.07, p > .05, η2 = .13).
The results of the MANOVA show an overall significant difference between the inlaid material (Pillai's trace = 2.32, F(32,248) = 10.75, p < .001) and knitted structure (Pillai's trace = .71, F(16,120) = 4.13, p < .001) on the buoyancy and mechanical properties. However, no significant difference was found between the different types of yarns (Pillai's trace = .13, F(8,59) = 1.07, p > .05) (Table 7). The inlaid material accounts for 58% of the variance in the overall buoyancy and mechanical properties (η2 = .581) and the knitted structure accounted for 36% (η2 = .355). This implies that the variances in the buoyancy and mechanical properties of the fabrics are mainly due to the inlaid material.
The results of the post hoc between-subjects comparison indicate that five types of inlaid material are significantly different in terms of the net buoyant force (F = 64.65, p < .001, η2 = .797), LC (F = 3.36, p < .02, η2 = .169), RC (F = 13.72, p < .001, η2 = .454), maximum load of tensile elongation (wale direction: F = 4.98, p < .01, η2 = .232; course direction: F = 59.09, p < .001, η2 = .782) and energy at maximum load (wale direction: F = 4.17, p < .02, η2 = .202; course direction: F = 57.87, p < .001, η2 = .778). Besides, the knitted structure shows a significant difference only for WC (F = 10.25, p < .001, η2 = .237), maximum load (F = 10.30, p < .001, η2 = .238) and energy at maximum load when elongated in the wale direction (F = 11.25, p < .001, η2 = .254).
Net buoyant force
The inlaid material accounts for 80% of the variance in the overall buoyancy (η2 = .797). This confirms that the fabric’s buoyant force was mainly affected by the inlaid material. The inlaid knitted fabrics also demonstrated a higher net buoyant force than all of the control fabrics, as shown in Figure 6. Following Archimedes’ principle, the net buoyant force can be calculated by using the weight and volume of the sample.
52
As Equation (3) shows, the higher net buoyant force is a function of a smaller fabric weight and of greater volume of fabric sample. Therefore, the net buoyant force of the inlaid knitted fabrics increases with fabric thickness (Figure 7). When EPEm1, EPEm2 and EPEm3 were compared, the net buoyant force was found to increase with the fabric’s thickness and the outer diameter of the inlaid material, as shown in Tables 5 and 6, indicating that the fabric thickness was mainly affected by the diameter of the inlaid material. The air bubbles inside the foam rods increased with the diameter of the inlaid material and resulted in a higher net buoyant force. However, SIF2, SIF3 and SIF4 have the same net buoyant force even with increased diameter of the inlaid material. This implies that silicone foam with a larger diameter does not increase the volume of air and provides the same amount of buoyancy.
Comparison of the net buoyant force of inlaid knitted fabrics and thickness.
When EPE3, EPEm3 and EPEn3 were compared, EPEn3 in the 1 × 1 rib structure was found to have the lowest net buoyant force (Figure 6). The area of space for the foam rod to be laid-in was lowest in the 1 × 1 rib structure, as the highest course density appeared in this knitted structure (Table 6). The inlaid material was then squeezed between the loops and the air inside the foam was reduced, which resulted in EPEn3 exhibiting the lowest net buoyant force among the three fabrics. Although EPEm3 had a lower course density than EPE3, their net buoyant force was similar. There was more space between the front and back loops in the full milano than in the half milano, but this did not increase the net buoyant force of the fabric. As no squeezing of the inlaid material occurred when it was knitted with both half milano (EPE3) and full milano (EPEm3), a similar net buoyant force resulted.
Compression properties
LC can be denoted by the linearity of the curve plotted of the compression versus thickness. 53 WC is the amount of energy required to compress a fabric. 54 RC indicates the recoverability of a fabric after the compression force is removed. 55 When the RC value approaches 100%, this denotes better resilience. The results of the MANOVA indicates that the LC and RC of the fabric with inlaid materials significantly differ with various inlaid materials, whereas the WC significantly differs with the knitted structure (Table 7). However, only 17% of the variance in LC (η2 = .169) and 45% of the variance in the RC (η2 = .454) are accounted for by the inlaid material and 24% of the variance in the WC is accounted for by the knitted structure (η2 = .237).
SIF3 (inlaid with silicone foam) shows a more sensitive response to the compression force, as can be observed by a steeper curve of the compression load versus thickness (larger slope) in Figure 8(a). EPE2 is more easily compressible than EPE1 when the diameter of the inlays is increased. However, EPE3 is barely compressible when the diameter of the inlays is further increased. This is because the fabric becomes tighter when foam rods used have a larger diameter. As shown in Figure 8(b), the compression curve of the knitted fabric samples with inlays, EPE1, EPEm1 and EPEn1, and the control fabric samples, Ch, Cm and Cn, have a similar shape. This is in agreement with the MANOVA result in which there is no significant difference in the LC with knitted structure. When comparing the inlaid and control fabric samples with the same knitted structure at 30 g/cm
2
load, the control fabrics might easily compress as they have higher thickness values at an equivalent load. This shows that the fabric samples become less compressible with the incorporation of inlays.
Compression behaviors of fabrics with various (a) inlaid materials and (b) knitted structures.
For single jersey knitted fabric, WC and RC increased when the fabric had a lower stitch density.
56
Unlike for the single jersey knitted fabric, the RC of the inlaid knitted fabrics increased with the fabric’s thickness (R2 = .70), but this was not related to stitch density (Figure 9). The effect of the knitting yarn on the fabric’s thickness was negligible when compared with that of the inlaid material, and thus the increase in the fabric’s thickness was mainly due to the increase in the outer diameter of the inlaid material. With an increase in the diameter of the inlaid material, the fabric with a higher RC value indicates that it has better recoverability.
RC versus fabric thickness. Stress–strain curves of tensile properties in the course direction for (a) inlaid fabrics and (b) control fabrics and in the wale direction for (c) inlaid fabrics and (d) control fabrics.

Tensile properties
Maximum load (N) in a 20% elongation is the force needed to elongate the fabric by 20% from its original dimension. A higher maximum load indicates that the fabric is stronger. Higher energy at the maximum load (J) means that the fabric is tougher in terms of breakage at 20% elongation. Liu et al. 45 showed that the length-wise and width-wise elongation properties of the fabric are significantly affected by the inlaid stitch used. Unlike their study, the inlaid material in this study accounts for 78% of the variance at the maximum load (η2 = .782) and energy at the maximum load (η2 = .778) when the fabric is elongated in the course direction. For elongation in the wale direction, the inlaid material and knitted structure account for less than 30% of the variance at the maximum load (inlaid material: η2 = .232; knitted structure: η2 = .238) and energy at the maximum load (inlaid material: η2 = .202; knitted structure: η2 = .254).
For the tensile properties in the course direction, the fabric samples with inlaid material that has a larger diameter (PE1–PE4) show the same trend but with a higher modulus during tensile loading. The fabric has higher strength and is more resistant against breakage in the course direction when the inlaid material has a larger diameter. This also implies that more force is needed to elongate the fabric in the course direction when the diameter of the inlaid material is increased. Besides, the three inlaid fabric samples (EPE1, EPEm1 and EPEn1) and the control fabric samples (Ch, Cm and Cn) with three different knitted structures show a similar trend and slope value (Figures 10(a) and (b)). This implies that the stiffness of the inlaid knitted and control fabrics in the course direction is not affected by the knitted structure.
EPEn1, PE3 and PE4 show a similar shape in the wale direction for the relationship between stress and strain, which implies that fabrics with these inlaid materials have a similar stiffness in the wale direction (Figure 10(c)). Inlaid fabric knitted in 1 × 1 rib (EPEn1) has the highest stiffness in the wale direction compared with the half milano (EPE1) and full milano (EPEm1) samples. However, the control fabric sample knitted in full milano has the highest stiffness among the three different structures (Figure 10(d)), which implies that fabric stiffness in the wale direction is affected by both the knitted structure and the inlaid material. The region that is used to lay in the foam rods is the smallest in the 1 × 1 rib structure, as the highest course density is found with this knitted structure (Table 6). The loops were tightened by inlaid material, which can undertake higher loading during stretching in the wale direction.
The stress of the inlaid knitted fabric at 20% strain is higher than that of the control fabric when elongated in both the wale and course directions (Figure 10). This demonstrates that the inlaid material reinforces the fabric in the wale and course directions. As shown in Figures 10(a) and (c), the stress of each inlaid fabric sample at 20% strain in the course direction is higher than that of the sample in the wale direction. This implies that the inlaid fabric is significantly reinforced in the course direction and less deformable due to the inlaid material. 42
Conclusion
The aim of this study is to develop buoyant inlaid knitted fabrics for buoyant swimwear applications. The mean differences among the inlaid material, yarn and knitted structure on net buoyant force, compression and tensile properties have been examined. The results reveal that the net buoyant force and mechanical properties of the fabric are significantly different depending on the inlaid material and knitted structure but not yarn. The variance in mechanical properties is mainly due to the inlaid material, and the net buoyant force is significantly different with only inlaid material. The net buoyant force is found to increase with fabric thickness and the outer diameter of the inlaid material.
In terms of the compression properties, LC and RC are significantly different with the inlaid material, whereas WC shows a significant difference with the knitted structure. The inlaid fabric is less compressible than the control fabric with the same knitted structure. The inlaid fabric, which has inlaid material with a larger outer diameter, shows a higher RC, which indicates better recoverability. The tensile properties of the inlaid fabric in the course direction are significantly reinforced by the inlaid material, in which a larger diameter of the inlays contributes to a stronger fabric that resists breakage. In the wale direction, the knitted structure and inlaid material show significant differences in the maximum load and energy at maximum load. However, they only account for less than 30% of the variance. The PP fabric inlaid with 6.36 mm of EPE foam with a half milano structure (EPE3) is a possible candidate for use in the future development of buoyant swimwear, as it has the greatest buoyancy.
Footnotes
Declaration of conflicting interests
The authors declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the Departmental Grant of Institute of Textiles and Clothing, The Hong Kong Polytechnic University (Grant No. PolyU RPPU).
