Research Article | Open Access

# Evaluating Mechanical Properties of Few Layers MoS_{2} Nanosheets-Polymer Composites

**Academic Editor:**Mikhael Bechelany

#### Abstract

The reinforcement effects of liquid exfoliated molybdenum disulphide (MoS_{2}) nanosheets, dispersed in polystyrene (PS) matrix, are evaluated here. The range of composites (0~0.002 volume fraction () MoS_{2}-PS) is prepared via solution casting. Size selected MoS_{2} nanosheets (3~4 layers), with a lateral dimension 0.5~1 *µ*m, have improved Young’s modulus up to 0.8 GPa for 0.0002 MoS_{2}-PS as compared to 0.2 GPa observed for PS only. The ultimate tensile strength (UTS) is improved considerably (~×3) with a minute addition of MoS_{2} nanosheets (0.00002 ). The MoS_{2} nanosheets lateral dimension and number of layers are approximated using atomic force microscopy (AFM). The composites formation is confirmed using X-ray diffraction (XRD) and scanning electron microscopy (SEM). Theoretical predicted results (Halpin-Tsai model) are well below the experimental findings, especially at lower concentrations. Only at maximum concentrations, the experimental and theoretical results coincide. The high aspect ratio of MoS_{2} nanosheets, homogeneous dispersion inside polymer, and their probable planar orientation are the possible reasons for the effective stress transfer, resulting in enhanced mechanical characteristics. Moreover, the micro-Vickers hardness () of the MoS_{2}-PS is also improved from 19 (PS) to 23 (0.002 MoS_{2}-PS) as MoS_{2} nanosheets inclusion may hinder the deformation more effectively.

#### 1. Introduction

The experimental discovery of graphene, due to its superior mechanical, electrical, thermal, and optical properties, has generated enormous interest in the field of polymer nanocomposites (PNCs) [1]. Graphene holds the best achieved mechanical characteristics with Young’s modulus () in the range of ~1 TPa and ultimate tensile strength (UTS) around 130 GPa [2]. The electrical properties are no less amazing with zero band gap, very high carrier mobility (~2 × 10^{5} cm^{2}/Vs at room temp.), and electrical conductivity (~10^{4} − 10^{8} S/cm) [3]. With graphene, a surge in 2D materials followed a diverse range of materials with hexagonal boron nitride (hBN) and molybdenum disulphide (MoS_{2}) to be the other most followed layered materials. While hBN is electrically insulating, MoS_{2} is semiconducting. The direct band gap of around 1.8 eV along with carrier mobility of ~200 cm^{2}/Vs for monolayer MoS_{2} makes it go to material for switching and optoelectronics applications [4]. The in-plane stable structure of 2D materials is common among all, whether graphene, hBN, or MoS_{2}. The in-plane stability is mostly responsible for the extraordinary mechanical characteristics of graphene which are utilized extensively in PNCs. Other 2D materials like hBN and MoS_{2} have been underutilized for reinforcement purpose; especially MoS_{2}, which has not been specifically assessed for its reinforcements effects in PNCs. Various research groups have tried to simulate as well as experimentally find Young’s modulus and strength of single layer MoS_{2}. By using molecular dynamic simulations, Jiang et al. [5] predicted that the in-plane “” ~230 GPa which is compromised considering the “” for bulk MoS_{2} is ~240 GPa. The thickness of single layer MoS_{2} is around 6.092197 Å. Castellanos-Gomez et al. have experimentally studied the few layers (5–25) MoS_{2} elastic deformations by utilizing atomic force microscope (AFM) bend tests. The “” ~330 ± 70 GPa, measured here, is very high and only one-third to “” of graphene (1 TPa) while considerably higher than graphene oxide, hBN, and bulk MoS_{2} [6]. Bertolazzi et al. found the in-plane stiffness of single layer MoS_{2} ~270 ± 100 GPa along with the average breaking strength to be ~23 GPa [7]. These results show that few layer MoS_{2} can be employed effectively for the reinforcement purpose as well as an alternating option to graphene in flexible electronics applications [8, 9].

Recently, the mechanical properties of the polyimide (PI) were improved considerably by a slight addition of MoS_{2} nanosheets. Both the strength and “” were enhanced by 43% and 47%, respectively, at 0.75 wt% MoS_{2} [10]. In another work, chemically modified 4 wt% MoS_{2}-polyurethane composites showed an increment of 140% and 85% in strength and “,” respectively [11]. Same reinforcement effects have been observed for chitosan with strength being improved to 200% for 0.5 wt% MoS_{2} [12]. The trend for utilizing MoS_{2} as reinforcing filler is very compromised in comparison to graphene and graphene oxide. One possible reason may be the lack of high yield production of 2D nanosheets required for PNCs. Coleman group has been able to produce large quantities of defect-free 2D nanosheets with their famous liquid phase exfoliation method [13]. Here in this work we have prepared few layer MoS_{2} via Coleman method of liquid phase exfoliation and dispersed in polystyrene matrix at various volume fractions () ranging from 0 to 0.002 . The tensile properties of MoS_{2}-PS composites are measured as a function of MoS_{2} . The enhanced Young’s modulus is evaluated based on two different theoretical models. We report the highest degree of reinforcement (~ 320) GPa for MoS_{2} based polymer composites. The ultimate tensile strength and micro-Vickers hardness of MoS_{2}-PS composites are also enhanced.

#### 2. Experimental Methods

As supplied MoS_{2} (avg. grain size 6 *µ*m), tetrahydrofuran (THF ≥ 99.9%), 1-methyl-2-pyrrolidinone (≥99.7%), and polystyrene (avg. molecular weight (MW): 35000) used in the work were purchased from Aldrich. MoS_{2} was exfoliated in 1-methyl-2-pyrrolidinone solvent (20 mg/ml) by using ultrasonication. The probe sonicator (Model: UP50H, 50 watts, 30 kHz) was run at 0.3 cycle and 40% amplitude for 60 hrs at 2°C. After sonication, centrifugation was carried out (500 rpm for 90 min) to size select the exfoliated MoS_{2} (by taking out the supernatant) and to remove any unexfoliated material. The supernatant was filtered out using nylon membrane (pore size ~ 0.4 *µ*m) and dried at 120°C for 24 hrs. Solution processing method was used for the fabrication of polymer nanocomposites. Both MoS_{2} (exfoliated) and PS were dispersed in THF with concentrations of 5 mg/ml and 50 mg/ml, respectively. A range of composites were prepared by taking dispersions from both filler and polymer solutions. The composite solutions were bath sonicated for 4 hrs to ensure the homogenous dispersions. The composite dispersions were poured in to Teflon molds. The solvent is evaporated at room temperature for 24 hrs followed by the vacuum drying at 65°C for 72 hrs. Tensile testing was performed using a Shimadzu tensile tester at a strain rate of 5 mm/min. The dimensions of samples (3–5) for each concentration were ~20 mm in length and ~10 mm in width while the thickness was around 0.05~0.06 mm.

#### 3. Results and Discussion

The main aspect of liquid phase exfoliation of 2D nanosheets lies in the size selection. Ultracentrifugation at various rpm plays a vital role with a basic principal of continually changing the centrifugation speed from higher to lower range and getting the subsequent lower to higher aspect ratio nanosheets [14–17]. The lateral dimension of nanosheets () and number of layers per nanosheet () can be measured by utilizing Raman spectroscopy, transmission electron microscopy (TEM), and atomic force microscopy (AFM) [18]. Here in this work we have used AFM to estimate the “” and “” of MoS_{2} nanosheets. Few drops of the MoS_{2}/THF were dropped onto the silicon substrate and scanned by utilizing AFM (Jeol SPM 5200) in tapping mode [19]. The average lateral dimension is around 0.5~1 micron while the number of layers is around 3~5. These are the average values based on the number of micrographs; a representative AFM image is shown as Figure 1(a). These values are highly approximated but give an indication about the exfoliation state of MoS_{2}. For lateral dimension consideration, scanning electron micrograph is shown in Figure 1(b), supporting the AFM approximations particularly for lateral dimension. The formation of MoS_{2}-PS composites and their crystalline phases were determined with the help of well-established X-ray diffraction (XRD) technique. Powder X-ray diffractometer is used having CuK*α* (1.54060 Å) as a source of radiation operated (40 mA and 40 kV) at room temperature and 2-theta (*θ*) ~ 5°–25°. The amorphous peak of PS appears around 2*θ*~ 21.3°, while for MoS_{2} the main peak is clearly visible at 2*θ*~ 14.4° shown in Figure 2. The strong 2*θ*~ 14.4° peak indicates a well-stacked layered structure for MoS_{2} [20]. In composite state both polymer and filler peaks are retained at the same positions. Tensile testing results; Young’s modulus (); and ultimate tensile strength (UTS) are shown in Figures 3(a)-3(b). Strain at break shows an improvement, but considering the error bar it remains constant up to 0.002 MoS_{2}. Young’s modulus, on the other hand, increases as a function of MoS_{2} concentration and reaches up to maximum (0.84 GPa) at 0.0002 MoS_{2} as compared to the PS (0.21 GPa) shown in Figure 3(a). Beyond this loading (0.0002 MoS_{2}), “” decreases a bit but remains constant ~0.6 GPa up to maximum loading (0.002 MoS_{2}). The degree of reinforcement, , is an indicator utilized for the filler effect on the outcome of PNCs mechanical characteristics [21]. The slope seems to be peaking at 0.0002 MoS_{2}, but the error bar is large enough to consider the whole range of MoS_{2} concentration for degree of reinforcement. Theoretical explanation for reinforcement can be done based on modified rule of mixtures (MRoM), expressed as [22]In the above equation, , , , and represent Young’s modulus of the composite, filler, polymer matrix, and volume fraction of filler, respectively. The length efficiency factor is depicted by *η*, evaluating the matrix-filler stress transfer effect [23]. The length efficiency factor depends on the filler aspect ratio () and Young’s modulus () along with the shear modulus of polymer matrix (). The shear modulus of PS is calculated to be 0.078 by using the relationship , where is the Poisson ratio of PS. Another term in the above-mentioned MRoM expression is *η*_{0}, termed as orientation efficiency factor. Generally, 2D materials are randomly oriented in the polymer matrices, having orientation parameter ~0.38 [21]. The filler aspect ratio is an important parameter which can be utilized for estimation as shown above (see (2)). Both length and thickness of MoS_{2} are estimated with AFM. The length is considered ~1 *µ*m while thickness is ~2 nm. Analyzing the present scenario based on MRoM model, the experimentally found Young’s modulus value of 0.213 GPa for PS is used. Young’s modulus value for MoS_{2} is 330 GPa [6, 8]. Overestimating both orientation parameter and length of MoS_{2} to be in the range of 0.5~1 and ~2 *µ*m, respectively, still the estimated theoretical from the MRoM model underestimates Young’s modulus of these composites as shown in Figure 3(a). Another approach to predict Young’s modulus as a function of filler volume fraction is Halpin-Tsai model. This model can particularly be used for the well dispersed and aligned systems, expressed as under [21–23]whereApplying (3) to MoS_{2}-PS composites, the Halpin-Tsai modelled reinforcement is shown in Figure 3(a). The estimated theoretical results come close to the experimental results, especially when the overestimated MoS_{2} length (2 *µ*m) is used. But still these values are compromised as compared to the experimental findings. The rate of increase of Young’s modulus () is a clear indicator of the reinforcement trend. The slope () of the H-T model is in the range 175 GPa while the experimental ~ 320 ± 22 GPa (red line) shown in Figure 3(a). The Halpin-Tsai model predicts relatively better than MRoM as the main difference is reported to be in the dissimilar scaling behavior of the length efficiency factor. The experimental ~320 GPa is almost equal to the few layer (5~25) MoS_{2} in-plane stiffness (~330 ± 70 GPa) measured by Castellanos-Gomez et al. [6, 8]. The reason for such reinforcement (~ 320 GPa) of MoS_{2}-PS composites may be the improved dispersion of filler inside polymer, filler alignment, and strong interface between filler and polymer. It would be of great interest if these composites are drawn and then characterized for degree of reinforcement as was done for graphene and hBN based PNCs [19, 21]. UTS of the PS is enhanced considerably with a slight addition of MoS_{2} as shown in Figure 3(b). The polymer only sample, when tested for UTS, reached around 4 MPa. By increasing MoS_{2} concentration up to 0.0002 , the UTS is well above 10 MPa and reaches up to ~16 MPa. Beyond 0.0002 MoS_{2} loading, the UTS decreases but remains around 8~10, well above the PS strength. Agglomeration may be adding up to the slight decrease in UTS at higher loading but seems that these aggregates are dispersed well for the overall effect. Interestingly for MoS_{2}-PS composites is ~48 ± 6 GPa, almost doubled to the measured value of breaking strength of MoS_{2} which is 23 GPa found by Bertolazzi et al. [7]. The representative stress-strain curves for the MoS_{2}-PS composites in various concentrations are shown in Figure 4. Hardness test was carried out with the help of digital Brinell hardness tester (Model: SHB3000C). Maximum increase in hardness value was up to 23.28 at 0.001 MoS_{2} concentration as compared to 19.46 of PS matrix as shown in Figure 5. The reason of increase in hardness value is presence of 2D layered structure present inside in composite phase. The reinforcement properties will be of great use for the further utilization of these free standing composite films/membranes. These mechanically robust composite films can be readily utilized for various applications like gas barrier properties and dielectric spectroscopy measurements and for filtration.

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#### 4. Conclusion

Liquid exfoliated, few layered, high aspect ratio MoS_{2} nanosheets are dispersed in polystyrene matrix for reinforcement purpose. The degree of reinforcement is ~320 GPa, reaching up to the filler’s Young’s modulus (~330 GPa). The strength at break is also improved considerably as the rate of UTS as a function of MoS_{2} volume fraction is around 48 GPa, twice the UTS of MoS_{2} nanosheets. This work may lead to more utilization of MoS_{2} nanosheets for the plastic reinforcement. Uniaxial drawing of MoS_{2}-polymer composites may also provide some more insight into the effect of aspect ratio and alignment inside composites.

#### Conflicts of Interest

The authors declare that they have no conflicts of interest.

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#### Copyright

Copyright © 2017 Muhammad Bilal Khan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.