Participants
Seventeen male participants were recruited from football clubs (third and fourth Bundesliga) in Munich (Germany) and the surrounding area based on having had a minimum of 5 years’ experience playing football but were excluded if they had had a lower extremity musculoskeletal injury within the past six months or a lower extremity reconstructive operation within the past three years. The mean age, height and weight were 26 (±6) years old, 181(±7) cm, 79 (±11) kg. Participants gave written, informed consent prior to the experiment. The consent form declares the confidentiality of the objectives, risks of the study, and protection of personal data through appropriate procedures for anonymization. In addition, the consent form assures participants they are free to withdraw from the research at any time without giving a reason and without penalty for not taking part. This research was conducted according to the ethical standards of the Helsinki Declaration [46].
Protocol
Two boots of different football classifications (see Table 1), Adidas Neoride III (ATB), Nike Hypervenom, (NGB) were chosen based on the high demand for these boots at the time of the experiment. Prior to the start of the study, a Type A shore durometer (Kern & Sohn GmbH, Germany) was used to determine the material hardness at the forefoot and rearfoot regions of the boots. Each reading was taken as the average of five measurements at one location following Sterzing et al. (2013) [47] (see Figure 1).
Table 1 characteristics of the two boots used in the experiment
|
|
Shore hardness
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HT* (mm)
|
Mass (g)
|
FT** (mm)
|
Forefoot
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Heel
|
ATB
|
58.3
|
53.25
|
200
|
320
|
100
|
NGB
|
82.78
|
72.98
|
100
|
238
|
50
|
HT*: Heel Thickness, FT**: Forefoot thickness
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To ensure the outsole were identical, the studs of both boots were flattened and smoothed with a belt-grinding Machine. Abrasive paper (grit size, 80) was then glued to the outsole of the boots (see Figure 2). The grit size was chosen in a pilot test among three participants and the main criteria was to avoid slippage while performing sprinting, kicking and cutting movements on natural grass and artificial turf.
To distinguish the characteristics of the soles (resilience variable), a Light Falling Weight Deflectometer (LFWD) was used for every experimental test day on two common football pitches: artificial turf (sand/rubber infill, 100% Polypropylene) and Natural grass. The test determines the dynamic modulus of soil deformation in different ranges [48]. The LFWD consists of a steel loading plate with accelerometer sensor, a falling weight and an electronic measuring unit. The procedure involves dropping a 10kg weight freely from a height of 72cm, along the guide rod, to hit an installed dashpot unit in the middle of the steel loading plate. The loading plate has a diameter of 30cm and a thickness of 20mm and weighs 15kg [49]. The dynamic soil resilience modulus (Evd) is determined as the ability of a material to absorb energy when it is deformed elastically, and releases that energy upon unloading. It is a measure of material stiffness and provides a mean to analyse stiffness of materials under different conditions, such as density and stress level. It is measured in MN/m2 (MPa) using the following equation 1 [50].
Where r=radius of the load plate, σ=stress under the load plate, s=mean settlement of the load plate. In our experiment, the dynamic soil resilience modulus of the artificial and natural surfaces was measured with the average of second and third drops of the four trials on a random spot on the experimental field.
Mechanical Midsole Characterization
A dynamic shock absorption test [51] was used for the measurement of cushioning properties. The pneumatic impactor device consists of a sphere with a 5cm diameter and total weight of 4.3kg. The machine operates by allowing the weight to fall onto the tested material from a defined height of 7mm. A single axis accelerometer sensor (range of −50g to 50g) was attached to the impactor in order to quantify the shock absorption with a measuring frequency of 5000Hz. The two locations on the boot midsoles tested by impactor were in the forefoot and heel, following Sterzing et al. (2013) (see figure 3) [47]. Twelve trials were conducted using the impactor but only trials two to ten were taken into the account.
Material of the Study: Insole Sensor Pressure
To measure vertical force and plantar pressure distribution, the insole pressure sensor system Opengo (Moticon GmbH, Munich Germany) was used in this experiment. Opengo consists of 13 capacitive pressure sensors, covering more than half of the insole area (52%). The peak pressure is specified from 0 to 40Ncm-2 and also was computed at 50 Hz. No external devices or cables are needed to operate the system. In order to differentiate pressure in the plantar, 13 insole sensors were divided into 6 plantar sections. HxT=hallux and other toes, CFF=central forefoot, LMF=lateral midfoot, MMF=medial midfoot, LRF=lateral rearfoot and MRF=medial rearfoot.
Main Test
Pre-Test. In the beginning of experiment, all participants undertook a warm up program (FIFA 11) [52], with their own private (desired) boot. Step 1. Participants randomly chose a pair of boots, NTS or AGS, into which the insole- pressure sensors were inserted with an identical football socks. Step 2. They carried out two movements, cutting (135°) and penalty kick with two boots on one of the surfaces. For each condition, participants performed three trials, the first and second trial was to make players familiar with the boots and surfaces and the inserted insole, and the third trial was recorded and used for the measurement phase. Step 3. After performing the test on one of the surfaces (randomly), participants took up to two minutes rest and then followed the same procedure in step 2 but on another surface. As in Step 2, for each condition, participants performed three trials, the first and second to make players familiar with the boots and surfaces and the inserted insole, and the third recorded and used for the measurement phase.
In the cutting movement (135°), participants were asked to use an ‘open’ technique, which involves the athlete using the foot on the opposite side to the direction they want to turn. In this movement, the VGRF of the feet which changed the direction was collected. In another movement, the penalty kick, the data of the supporting foot was collected during their kicking the ball at goal (see Figure 4).
Furthermore, the discomfort level of the feet based on footwear fit, which can potentially be caused by pressure-related skin lesions on the edge of the feet was measured using Visual Analogue Scale (VAS, 100mm) after warm up. Poor fit (=high discomfort) is denoted by 0, and best fit (=low discomfort) by 100.
Methodology of Data Analysis
Data of the participants (n=17) on two surfaces, two boots and two movements (N=136) was analysed with a repeated measure ANOVA (2×2×2) with a confidence level=0.05. Effect size was used for all three variables expressed as Cohen’s d—0.2 denoting a minor effect, 0.5 denoting a moderate effect and 0.8 denoting a major effect [53].
DATA ANALYSIS
Comparing peak vertical force
The repeated measures ANOVA (2×2×2) determined that cutting vs penalty kick, natural grass vs artificial turf and finally artificial turf boot vs natural grass boot differed significantly (see Figure 5). According to the effect size, movement, boot midsole, and surface have a, respectively, 0.72, 0.78 and 0.28 higher effect on peak force. There was no significant interaction effect between variables (P>0.05).
The effect of the two different boots, ATB and NGB, on natural grass and artificial turf are shown in detail for each movement in Figure 6. The boots in all four conditions differed significantly from each other. The artificial turf boot in all four conditions had a significantly higher peak VGRF than the natural grass boot.
However, peak VGRF on the two surfaces, NG and AT, only differed significantly when NGB was used. The supporting leg in the penalty kick had a higher peak VGRF on artificial turf in comparison to natural grass. To characterize pressure distribution, pressure mapping was classified into 6 sections (see Table 2). Peak pressure (average of both movement and surface) in ATB was significantly higher in the hallux, central forefoot and lateral heel. Accordingly, peak pressure in AT was significantly higher in the hallux, central forefoot and lateral midfoot. The comparison of peak pressure between the two movements determined that the peak pressure differed significantly in all sections except the medial forefoot. The central forefoot was affected by all three variables.
Table 2 Peak pressure (N/cm2) of the plantar with respect to the three variables
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)
S standard error, 1 different percentage of vertical GRF in each group. 2 C=cutting. 3 K=penalty kick. 4 AT=artifical surface. 5 NG=natural grass .6 ATB= artificial turf boot. 7 NGB= natural grass boot. 8 SMEI=significant main effect and /or interactions. 9 M=movement. 10 Sr=surface. 11 Sh=boot. *p-value < 0.05, ***p-value < 0.001
Soil hardness
The hardness of the natural and artificial surfaces was measured during the dynamic load plate test. The last two trials for each surface before the beginning of the experiment were collected. The mean and standard deviation of both surfaces’ hardness over the five test days were 4.67 MPa (SD=0.02) and 2.95 MPa (SD=0.16), for AT and NG respectively. The Friedman non-parametric test revealed that there was a statistically significant difference between the two surfaces’ dynamic soil resilience (Evd), χ2(1)=10, p=0.002. Artificial turf was consistently harder than natural grass during the experiment.
Midsole cushioning
Peak acceleration and energy loss (hysteresis) of peak impact force were measured for fore- and rear-foot sections in the ATB and NGB (Table 3). Due to the thickness difference between the rear section of the two boots, there was a greater gap between in peak acceleration and energy loss in comparing to the forefoot of the boots. In general, peak acceleration and energy loss in the NGB boot was higher than in the ATB.
Table 3 Midsole thickness and peak acceleration from 7mm impactor drop
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Forefoot
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Rearfoot
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Peak AC1
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Energy loss(J)
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Peak AC
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Energy loss(J)
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ATB2
|
23.8 (1.6)
|
0.44(0.05)
|
11.2 (0.39)
|
0.31(0.08)
|
NGB4
|
28.35 (0.5)
|
0.57(0.039)
|
23.18(0.47)
|
0.44(0.038)
|
1=peak acceleration unit is g. 2=artificial turf boot. 3 =standard deviation. 4 =natural grass boot.
Discomfort
The data of visual Analogue Scale (100mm) was analyzed with a non-parametric Friedman Test. The average discomfort for NGB and ATB, respectively, was 7.9 (Standard Error=0.58) and 7.1 (Standard Error=0.46). The results revealed that there was no significant difference of footwear fit between the two boots, χ2(1)=1.66, p=0.197.