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Gel Spinning of Polyacrylonitrile/Cellulose Nanocrystal Composite Fibers Huibin Chang, An-Ting Chien, H Clive Liu, Po-Hsiang Wang, Bradley A. Newcomb, and Satish Kumar ACS Biomater. Sci. Eng., Just Accepted Manuscript • DOI: 10.1021/acsbiomaterials.5b00161 • Publication Date (Web): 05 Jun 2015 Downloaded from http://pubs.acs.org on June 8, 2015
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Gel Spinning of Polyacrylonitrile/Cellulose Nanocrystal Composite Fibers Huibin Chang a, b, An-Ting Chien a, H. Clive Liu a, b, Po-Hsiang Wang a, Bradley A. Newcomb a and Satish Kumar a, b, * a
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, GA, 30332 b
Renewable Bioproducts Institute, Georgia Institute of Technology, Atlanta, GA, 30332
* Corresponding author email: Satish.Kumar@mse.gatech.edu Work phone +1-404-894-7750 Mail Address of all authors is same: School of Materials Science and Engineering, 801 Ferst Drive, N.W., MRDC Bldg, Atlanta, Georgia 30332-0295 U.S.A.
Abstract Polyacrylonitrile (PAN)/cellulose nanocrytal (CNC) fibers containing 0, 1, 5, and 10 wt % CNCs have been successfully produced by gel spinning. The rheological properties of solutions were investigated and the results showed that the complex viscosity and storage modulus of solutions were significantly affected by the presence of CNCs in the solution. Structure, morphology, mechanical properties and dynamic mechanical properties of these fibers have been investigated. Tensile modulus and strength increased from 14.5 to 19.6 GPa and from 624 to 709 MPa, respectively, as CNC loading increased from 0 to 10 wt %. Wide angle X-ray diffraction results showed better PAN chain alignment and higher PAN crystallinity with the incorporation of CNCs. Keywords: Gel spinning, Polyacrylonitrile, Cellulose nanocrystal, Fiber
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Introduction Polyacrylonitrile (PAN) is currently the predominant precursor to make carbon fiber, which is widely used in high-strength, low-density composite materials. In PAN based carbon fiber manufacturing, the quality of PAN precursor fiber is a key factor influencing the performance of carbon fiber. In order to improve the performance of PAN precursor fiber, fillers such as carbon nanotubes and carbon nanofibers have been incorporated into PAN matrix.1-2 It has been shown that the addition of 5 wt % carbon nanotubes in PAN fiber results in more than 50% increase in the modulus and tensile strength of the composite fiber.2 More recently, cellulose nanocrystals (CNCs) have attracted great interest due to high aspect ratio, high mechanical properties as well as biorenewability and sustainability.3 CNCs are isolated from trees and plants.4-7 Their transverse dimension is approximately a few nanometers, and length ranges from tens of nanometers to several micrometers.8 Based on experimental and theoretical studies, CNCs have high strength (up to 7.5 GPa) and high modulus (110-220 GPa).911
Therefore, CNCs have been used as reinforcing materials to improve mechanical properties in
polymer based nanocomposites such as poly (oxyethylene),12 cellulose acetate butyrate,13 polymethacrylate,14 polyurethane,15 polyethylene,16 and poly (l-lactide).17 CNC reinforced poly (vinyl alcohol) (PVA), cellulose acetate and alginate fibers have been previously investigated.18-20
Electrospun PVA/CNC nanofiber mats showed a 3-fold
increase in storage modulus (from 15 to 57 MPa) of fully hydrolyzed PVA fiber mats at 15 wt % CNC.18 Cellulose acetate/CNC nanocomposite fibers were spun by dry spinning. The results showed that the CNC alignment directly correlates to the mechanical properties of the composite. Maximum improvements of 137 % in tensile strength (from 67.7 to 160.3 MPa) and 637 % in elastic modulus (from 1.9 to 14.0 GPa) were achieved with 34 wt % CNC loading.19 Wet spun alginate/CNC nanocomposite fibers with 10 wt % CNCs showed improved mechanical properties than alginate fiber under optimized spinning condition. The tensile modulus increased from 3 to 7 gpd and tenacity increased from 0.15 to 0.21 gpd.20 In the present study, PAN/CNC composite fibers containing different CNC loadings were produced by gel spinning, and their structure, morphology, as well as mechanical and dynamic mechanical properties have been investigated.
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Materials Polyacrylonitrile-co-methacrylic acid (PAN-co-MAA; 4 wt % of MAA content, viscosity average molecular weight: 2.5 X 105 g/mol) was obtained from Japan Exlan, Co. Cellulose nanocrystals with approximately 5 nm in diameter and 150-200 nm length were prepared at the US Forest Service’s Cellulose Nano-Materials Pilot Plant at the Forest Products Laboratory (Madison, Wisconsin) and was obtained from Process Development Center, University of Maine (freeze-dried powder).21-22 Dimethyl formamide (DMF) obtained from BDH, Inc. was purified by distillation before use. Solution Preparation As an example, a description of PAN/CNC 1wt % solution is given below. CNCs (0.225 g) were dispersed in DMF by sonication (Branson 3510R-MT, 100 W, 42 kHz) at a concentration of 0.075 g/100ml until an optically homogeneous dispersion was achieved. PAN polymer powder (22.225 g) was dried in a vacuum oven at 100 °C for 24 hours and then dissolved in DMF (150 mL) at 80 °C. The CNC/DMF dispersion was added to the PAN/DMF solution and the excess amount of solvent was evaporated by distillation to meet the desired solid content in the solvent (16 g solids (PAN+CNC)/100 mL solvent). PAN/CNC solution at 5, and 10 wt % CNC were prepared using similar protocol and control PAN solution was also prepared at the same solid concentration. However, no solvent evaporation step was involved in control PAN solution preparation. The solid content in all cases was 16 g (PAN+CNC) per 100 mL of solvent. Fiber Spinning The control PAN fiber and PAN/CNC composite fibers were spun utilizing the gel spinning technique using a Hills, Inc. (Melbourne FL) spinning unit with a single hole (200 µm diameter) spinneret. The prepared solution was spun into a cold methanol gelation bath (-50 °C) with an air gap of 5 cm. The as-spun fibers were collected with a take-up roller (speed 32 m/min), followed by room temperature drawing. The second stage drawing was performed by passing the fiber through a glycerol bath maintained at 165 °C, followed by washing in methanol. To compare fiber properties under similar processing conditions, both the control PAN and composite fibers were drawn to the same draw ratio. After drawing, fibers were then kept in oven at 60 °C for 3 days, prior to testing.
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Characterization The optical homogeneity of the composite solution was characterized by optical microscopy (Leica, DM2500 P). Rheology frequency sweep tests were conducted using an ARES rheometer (Rheometric Scientific, Co.) with parallel plate geometry (50 mm plate diameter and 1 mm gap between plates) at room temperature. The angular frequency (ω) range was set from 0.1 to 300 rad/s at a fixed strain of 1 %. As-received CNCs and fracture surfaces of fibers were coated by gold and observed by scanning electron microscope (Zeiss Ultra-60 SEM operated at 5 kV). Dynamic mechanical tests were conducted on 32 filament bundles at 0.1, 1 and 10 Hz using a heating rate of 1 °C /min at a 25.4 mm gauge length using RSA III solids analyzer (Rheometric Scientific Co.). Single filament tensile testing was performed using a gauge length of 25.4 mm at a strain rate of 1%/sec on FAVIMAT tensile testing instrument. For each fiber sample, at least 50 filaments were tested. Work of rupture is the area under the stressstrain curve. Densities of the composite fibers were estimated from the density of PAN (1.18 g/cm3 23) and CNC (1.6 g/cm3 8). Fourier transform infrared spectroscopy (FTIR) spectra from 4000 to 400 cm-1 of PAN and PAN/CNC fibers mixed with potassium bromide (KBr) pellets were recorded using a Magna 560 FTIR (Nicolet Instruments). A blank KBr pellet was used as the reference. Wide-angle X-ray diffractions (WAXD) of PAN and PAN/CNC composite fibers were investigated by a Rigaku MicroMax 002 X-ray generator to produce Kα radiation (λ = 1.5418 Å ), equipped with a R-axis IV++ detector. The crystallinity was calculated by fitting the integrated scan using MDI Jade 8.5.2 software, and the crystal size was calculated from the FWHM (Full width at half the maximum intensity) of the crystalline peak from the equatorial scan using Sherrer equation.2 The Herman's orientation factors of PAN crystal and CNCs were calculated from azimuthal scans of the PAN (2θ = 17°) and CNC (2θ = 22.5°) WAXD peaks following previously described methods.24-25
Results and Discussion Complex viscosity of the PAN and PAN /CNC solutions are plotted in Figure 1 (a) as a function of angular frequency. The PAN solution showed Newtonian behavior at frequency below 2 rad/s. Above this frequency, PAN solution viscosity decreased with increasing frequency. However, for PAN/CNC solutions, the plateau disappeared even at the low CNC concentration of 1 wt %. All the samples containing CNC displayed a significant shear-thinning 4 ACS Paragon Plus Environment
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behavior. Similar phenomenon was observed in dilute CNC suspension and polymer/CNC mixture such as polyethylene oxide and polyurethane.15, 26-27 CNCs are randomly distributed in the PAN solution. This results in enhanced resistance to flow, as complex viscosity increases with increased CNC loading. At high frequency, the viscosity decreases due to alignment of polymer in the presence of CNC and the viscosity of the composite solution is lower than that for the control PAN polymer solution at the same solid content. Similar viscosity behavior is observed for polymer/CNT 28-29 systems including PAN/CNT.30 Figure 1 (b) and (c) show the storage modulus (G') and the loss modulus (G") response as a function of angular frequency for PAN and PAN/CNC solutions. At a low frequency, the storage modulus increased by more than one order of magnitude as CNC loading increased to 10 wt %. At high frequencies, the storage modulus for all solutions is very comparable. At lower frequency, the loss modulus of the composite solutions is somewhat higher than that for the control PAN solution, while at higher frequency, the viscosity of the composite solutions is somewhat lower. However, this difference in the loss modulus between PAN and PAN/CNC solution was relatively small. Somewhat rigid structure of CNCs contributes more to the storage modulus than to the loss modulus. At high frequency, the contribution from the PAN molecules becomes dominant since the network structure is broken due to alignment of CNC induced by high shear rate. When tan δ is smaller than one, sample behaves more like an elastic liquid. Figure 1 (d) shows the tan δ values as a function of angular frequency. The tan δ values decreases as CNC loading increases at low angular frequencies. As discussed above, this is due to CNC network structure that is able to transmit elastic stresses when deformed.31 SEM images of the CNCs used in this study are shown in Figure 2. The as-received CNCs morphology presents as agglomerated sheets. The fracture surface of PAN and PAN/CNC composite fibers are shown in Figure 3. As compared to control PAN fiber, the fracture surface roughness of composite fibers increases due to the existence of CNC. In high CNC loading composite fibers, CNC can be identified and its concentration on the fracture surface increases as CNC loading increases from 5 to 10 wt %. The FTIR spectra of CNC, PAN fiber, and PAN/CNC fibers are presented in Figure 4. The vibrations characteristic of PAN structure are those of CN nitrile group at ca. 2243 - 2241 cm−1, the band at 1732 cm−1 is attributed to the C=O stretching due to the presence of methacrylic acid, and the bands in the regions 2931 - 2870, 1460 - 1450, 1380 - 1350, and 1270 5 ACS Paragon Plus Environment
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1220 cm−1 are assigned to the aliphatic CH group vibrations of different modes in CH, CH2, and CH3.32 Characteristic absorbance peaks for the CNC are O-H stretching at ca. 3700 - 3100 cm−1, the O-H bending of adsorbed water at 1651 cm−1, the C-H stretching at 2900 cm−1, and the C OH deformation mode at 1034 cm−1.26 FITR spectra of PAN/CNC fibers showed the characteristic absorption bands of CNC O-H peaks such as 3700 – 3100 cm−1 and 1034 cm−1 and these peaks become more obvious as the CNC loading increases in PAN/CNC composite fibers. From WAXD studies, peak height and peak deconvolution methods are commonly used to determine crystallinity. The high crystallinity values (80 ~ 90 %) of CNCs were obtained by peak height method.4, 33 However, the peak height method has several shortcomings34 and this method overestimates crystallinity In this study, the deconvolution method was used and the asreceived CNCs crystallinity was determined to be 70 % (Figure 5). The wide-angle X-ray diffraction (WAXD) patterns and equatorial WAXD scans of PAN and PAN/CNC fibers (Figure 6) confirmed that the CNCs were successfully incorporated into the PAN matrix. PAN is a semicrystalline polymer with characteristic peak at 2θ = 16.7 °. With the addition of CNCs in the PAN matrix, a diffraction peak at 2θ = 22.6 ° appears. At 1 wt % CNC loading, the diffraction intensity of CNCs peak is very weak. As CNC loadings increased to 5 and 10 wt %, the PAN/CNC composite fibers shows a clear peak at 2θ = 22.6 °, attributed to the (200) plane of the CNCs. The calculated PAN crystallinity in control PAN fiber is 50 %. PAN crystallinity in composite fibers increases from 50 to 62 % as CNC loading increases from 0 to 10 wt % (Table 1). PAN/CNC 1 and 5 wt % CNC loaded composite fibers show higher PAN crystallite orientation factor (0.89) than that in the control PAN fiber (0.85). For composite fiber with 10 wt % CNCs, the PAN orientation factor (0.85) is comparable to that of the control PAN fiber. Due to different spinning method, polymer matrix and CNC assembly behavior, the orientation of CNC differs in different polymer fiber as the CNC concentration increases. In cellulose acetate fiber, Herman’s order parameter of CNC increases as CNC content increases in fiber, which results in higher mechanical properties in composite fibers.19 However, in alginate fiber, the Herman’s order parameter decreases as CNC loading increases. Based on WAXD analysis, Urena-Benavides et al. claim that CNCs try to twist during fiber spinning, which is accentuated as CNCs loading is increased. This structure results in a reduction in tenacity and modulus, and an increase in elongation at break.25 6 ACS Paragon Plus Environment
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If WAXD meridional peak position of PAN fibers shifts to lower value (2θ in the range of 40 to 36 °), it suggests more zigzag sequence of PAN, and when it shifts to higher 2θ value, then it suggests more helical sequences.35-36 Meridional peak shifts to lower 2θ value as the CNC content increases in PAN/CNC composite fibers (Table 1), and this suggests more planar zigzag PAN sequences in the composite fibers as compared to control fiber. Thus the prevalence of extended PAN chain conformation increases in high CNC loaded composite fibers, which contributes to composite fiber modulus improvement. Fiber tensile properties are listed in Table 1. Tensile modulus and work of rupture of PAN/CNC composite fibers increases from 14.5 to 19.6 GPa and from 30 to 39 MPa, respectively, as CNC loading increases from 0 to 10 wt %. The PAN/CNC fiber with 5 wt % CNCs loading show highest tensile strength at 733 MPa, a 17 % increase as compared to that of the control PAN fiber of the same draw ratio. The elongation at break of composite fibers is very comparable to that of the control fiber. Higher PAN crystallinity in PAN/ CNC fibers as compared to PAN fiber can at least partially account for improved mechanical properties in the composite fiber. Improved PAN molecular alignment and the presence of CNC also contribute to enhanced mechanical properties. It was reported that the addition of CNCs into the polymer matrix, such as poly acrylic acid, cellulose acetate and waterborne polyurethane, increases the tensile strength and modulus but decrease the elongation at break.19,
37-38
However, for PAN/CNC composite fibers, the
increased tensile strength and modulus was not at the expense of elongation at break. It was demonstrated that nano-fillers can provide load transfer across the filler-matrix interface, thus toughening the composite materials.39 As observed from the SEM images of the fracture surfaces, pull-out CNCs can be observed, indicating load transfer across the CNC/PAN interface during elongation. This may explain why PAN/CNC composite fibers show improved tensile strength and tensile modulus and maintain the elongation at break. Dynamic mechanical storage modulus and tan δ plots for the drawn fibers at 10 Hz frequency are shown in Figures 7 and 8. For PAN fibers, the storage modulus decreases slightly with temperature at low temperature (below 80 °C). When temperature increased to 80 °C, storage modulus significantly dropped where a typical βc transition appeared.40 The storage modulus of PAN/CNC composite fibers increases as the CNC loading is increased from 0 to 10%. The storage modulus of PAN/CNC 10 wt % fiber increases by about 50 % as compared 7 ACS Paragon Plus Environment
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with control PAN fiber at 30 °C. This is qualitatively consistent with the tensile modulus results at room temperature. The tan δ peak temperature (Tg) increased from 93 °C for the control PAN fiber to 103 °C for the PAN/CNC 10 wt % composite fiber. The magnitude of tan δ peak decreased from 0.15 for the control PAN fiber to below 0.12 for the PAN/CNC composite fibers. In the PAN/CNC composite fibers, it is believed that high crystallinity and rigid rod-like CNCs can effectively constrain the PAN chain mobility, which results in relatively higher activation energy and thus increased βc transition temperature. The activation energy for the dynamic mechanical transition for PAN and PAN/CNC fibers in the current study is calculated using Arrhenius plot. The observed glass transition temperature (tan δ peak temperature) depended on the test frequency, ln(f) = ln(A) -
,
where f is frequency, A is the pre-exponential factor, T is temperature, and Ea is activation energy. By plotting the natural logarithm of frequency versus 1/T, the slope can be used to calculate the activation energy. As shown in Figure 9, the calculated activation energy of glass transition is higher in the composite fibers than that in the control PAN fibers and it increases as CNC loading increases. Previous research shows that βc relaxation of PAN with more planar zigzag sequences exhibited lower tan δ peak.41 Based on WAXD analysis, the high alignment CNCs helps to align PAN chain orientation. Therefore more planar zigzag sequence will be present in PAN/CNC composite fiber, which is confirmed by decreased meridional 2θ peak position in the PAN/CNC composite fibers as compared to the control PAN fiber (Table 1). In summary, high PAN crystallinity and rigid rod-like CNCs in PAN fibers can restrain PAN chain mobility and help to extend PAN chain, which results in higher tan δ peak temperature, and lower magnitude of βc relaxation.
Conclusions The PAN solution rheological properties are affected with the incorporation of CNCs. With the presence of CNC, solution behavior changes from Newtonian fluid to shear-thinning fluid at lower angular frequency. PAN/CNC composite fibers were successfully spun by gel spinning method. Compared with control PAN fiber, incorporation of CNC into PAN matrix contributes to PAN alignment and increases PAN crystallinity. Composite fiber with 5 wt % 8 ACS Paragon Plus Environment
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CNC loading showed highest tensile strength at 733 MPa, a 17 % increase as compared to that of control PAN fiber. Composite fiber with 10 wt % CNC loading showed highest tensile modulus at 19.6 GPa, a 35 % increase as compared to that of control PAN fiber. Acknowledgements Financial support for this work from Renewable Bioproducts Institute at the Georgia Institute of Technology and a grant from the Air Force office of Scientific Research (FA 955014-1-0194) are gratefully acknowledged.
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34. Park, S.; Baker, J. O.; Himmel, M. E.; Parilla, P. A.; Johnson, D. K., Research Cellulose crystallinity index: measurement techniques and their impact on interpreting cellulase performance. Biotechnol. Biofuels 2010, 3 (10). 35. Sawai, D.; Yamane, A.; Kameda, T.; Kanamoto, T.; Ito, M.; Yamazaki, H.; Hisatani, K., Uniaxial drawing of isotactic poly (acrylonitrile): development of oriented structure and tensile properties. Macromolecules 1999, 32 (17), 5622-5630. 36. Chae, H. G.; Minus, M. L.; Kumar, S., Oriented and exfoliated single wall carbon nanotubes in polyacrylonitrile. Polymer 2006, 47 (10), 3494-3504. 37. Cao, X.; Dong, H.; Li, C. M., New nanocomposite materials reinforced with flax cellulose nanocrystals in waterborne polyurethane. Biomacromolecules 2007, 8 (3), 899-904. 38. Lu, P.; Hsieh, Y.-L., Cellulose nanocrystal-filled poly (acrylic acid) nanocomposite fibrous membranes. Nanotechnology 2009, 20 (41), 415604. 39. Qian, D.; Dickey, E. C.; Andrews, R.; Rantell, T., Load transfer and deformation mechanisms in carbon nanotube-polystyrene composites. Appl. Phys. Lett. 2000, 76 (20), 28682870. 40. Chien, A.-T.; Newcomb, B. A.; Sabo, D.; Robbins, J.; Zhang, Z. J.; Kumar, S., Highstrength superparamagnetic composite fibers. Polymer 2014, 55 (16), 4116-4124. 41. Sawai, D.; Kanamoto, T.; Yamazaki, H.; Hisatani, K., Dynamic mechanical relaxations in poly (acrylonitrile) with different stereoregularities. Macromolecules 2004, 37 (8), 2839-2846.
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For Table of Contents graphic use only
Gel Spinning of Polyacrylonitrile/Cellulose Nanocrystal Composite Fibers Huibin Chang a, b, An-Ting Chien a, H. Clive Liu a, b, Po-Hsiang Wang a, Bradley A. Newcomb a and Satish Kumar a, b, *
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(a)
(Pa·s)
100
PAN solution PAN/CNC 1 wt % solution PAN/CNC 5 wt % solution PAN/CNC 10 wt % solution
10
0.1
1
10
100
(rad/s)
(b) 1000
(c)
1000
100
10
G'' (Pa)
100
G' (Pa)
PAN solution PAN/CNC 1 wt % solution PAN/CNC 5 wt % solution PAN/CNC 10 wt % solution
1
PAN solution PAN/CNC 1 wt % solution PAN/CNC 5 wt % solution PAN/CNC 10 wt % solution
10
0.1
1
0.1
1
10
100
0.1
1
10
100
(rad/s)
(rad/s)
(d) 10
tan
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1
PAN solution PAN/CNC 1 wt % solution PAN/CNC 5 wt % solution PAN/CNC 10 wt % solution
0.1 0.1
1
10
(rad/s)
100
Figure 1. Rheological behavior of PAN and PAN/CNC solutions: (a) complex viscosity versus frequency, (b) storage modulus (G’) versus frequency, (c) loss modulus (G’’) versus frequency, (d) Tan δ versus frequency.
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Figure 2. SEM images of the as-received CNCs.
Figure 3. SEM images of fracture surface of fibers; (a) PAN, (b) PAN/CNC 1wt %, (c) PAN/CNC 5wt %, (d) PAN/CNC 10wt %. (arrows show the CNC)
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C-OH
OH CNC
Transmittance %
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d c b a 4000
3500
3000
2500
2000
1500
1000
500
-1
Wavenumber (cm )
Figure 4. FTIR spectra of CNC and fibers: (a) PAN, (b) PAN/CNC 1 wt %, (c) PAN/CNC 5 wt %, (d) PAN/CNC 10 wt %.
Figure 5. WAXD pattern and integrated radial scan of as-received CNCs.
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Figure 6. WAXD patterns and equatorial scans of fibers: (a) PAN, (b) PAN/CNC 1 wt %, (c) PAN/CNC 5 wt %, (d) PAN/CNC 10 wt %.
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(d) (c) (b) (a)
E' (Pa)
1E10
(a) PAN fiber (b) PAN/CNC 1 wt % fiber (c) PAN/CNC 5 wt % fiber (d) PAN/CNC 10 wt % fiber 1E9 0
20
40
60
80
100
120
140
160
180
Temperatue (o C)
Figure 7. Dynamic mechanical storage modulus of PAN and PAN/CNC fibers at a frequency of 10 Hz. 0.16
(a) 0.14
(b)
0.12
(c) 0.10
Tan
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(d)
0.08 0.06
(a) PAN fiber (b) PAN/CNC 1 wt % fiber (c) PAN/CNC 5 wt % fiber (d) PAN/CNC 10 wt % fiber
0.04 0.02 0.00 0
20
40
60
80
100
120
140
160
180
o
Temperatue ( C)
Figure 8. Dynamic mechanical Tan δ of PAN and PAN/CNC fibers at a frequency of 10 Hz.
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600
Activation Engergy (kJ/mol)
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550
500
450
0
2
4 6 8 CNC loading (wt %)
10
Figure 9. Activation energy of dynamic mechanical transition in PAN and PAN/CNC composite fibers
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Table 1 Mechanical properties and structural parameters of PAN and PAN/CNCs composite fibers PAN/CNC
PAN/CNC
PAN/CNC
(1 wt %) fiber
(5 wt %)fiber
(10 wt%) fiber
10
10
10
10
Linear density (dtex)
3.7 ± 0.3
3.4 ± 0.3
3.2 ± 0.4
3.6 ± 0.8
Theoretical density (g/cm3)
1.18
1.18
1.20
1.22
Effective diameter (μm)
20.1 ± 0.8
19.2 ± 0.8
18.3 ± 1.2
19.3 ± 2.3
Modulus (GPa)
14.5 ± 0.9
15.7 ± 0.7
17.5 ± 1.4
19.6 ± 1.3
Strength at break (MPa)
624 ± 61
612 ± 71
733 ± 91
709 ± 98
Elongation at break (% strain)
8.9 ± 0.5
8.4 ± 1.1
8.8 ± 0.5
9.5 ± 0.9
Work of rupture (MPa)
30.5 ± 3.6
30.0 ± 6.1
34.6 ± 5.0
39.1 ± 4.9
50
53
59
62
11.7
10.5
9.8
11.8
0.85
0.89
0.89
0.85
-
-
0.90
0.90
39.8
39.7
39.4
38.9
PAN fiber
Draw ratio (DR) +
PAN crystallinity (%)
PAN crystal size (nm)
f* PAN f* CNC #
PAN2θmeridional +
DR= (as spun 1x) x (cold drawn 2x) x (hot drawn 5x) *Herman’s orientation factor, #meridional peak position
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