Toughening Performance of Glass Fibre Composites with Core-shell Rubber and Silica Nanoparticle Modified Matrices Shamsiah Awang Ngah1, Ambrose C Taylor* Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK. 1 Present address: WMG, University of Warwick, Coventry CV4 7AL, UK. * Corresponding author: Email: a.c.taylor@imperial.ac.uk Tel: +44 20 7594 7149 Abstract The fracture energies of glass fibre composites with an anhydride-cured epoxy matrix modified using core-shell rubber (CSR) particles and silica nanoparticles were investigated. The quasi-isotropic laminates with a central 0°/0° ply interface were produced using resin infusion. Mode I fracture tests were performed, and scanning electron microscopy of the fracture surfaces was used to identify the toughening mechanisms. The composite toughness at initiation increased approximately linearly with increasing particle concentration, from 328 J/m2 for the control to 842 J/m 2 with 15 wt% of CSR particles. All of the CSR particles cavitated, giving increased toughness by plastic void growth and shear yielding. However, the toughness of the silica-modified epoxies is lower as the literature shows that only 14% of the silica nanoparticles undergo debonding and void growth. The size of CSR particles had no influence on the composite toughness. The propagation toughness was dominated by the fibre toughening mechanisms, but the composites achieved full toughness transfer from the bulk. Keywords A. Particle-reinforcement; A. Polymer-matrix composites (PMCs); B. Fracture toughness; A. Core-shell rubber particles. 1 1 Introduction The epoxy polymers used as the matrices of fibre composites are thermosets, and hence are highly crosslinked. This makes them rather brittle, being susceptible to the initiation and propagation of delaminations, so the epoxy matrix is toughened when the composites are used as a structural material. Various approaches have been used, including the addition of rubber [1-4], thermoplastic [5, 6] or ceramic [7, 8] tougheners. One of the most successful approaches has been the addition of a rubber adduct such as carboxyl-terminated butadiene acrylonitrile (CTBN) which will phase-separate into micron-sized particles during curing of the epoxy polymer [1, 4]. Alternatively, the addition of pre-formed core-shell rubber (CSR) particles has been shown to result in an impressive toughness improvement in bulk polymers [9-11]. These particles typically comprise a soft rubbery core inside a shell of polymethylmethacrylate. The use of CSR particles eliminates the incomplete phase separation that occurs when using liquid rubber, which leads to a reduction in the modulus and the glass transition temperature of the epoxy. For fast-curing epoxies (e.g. [12]), the formation of the epoxy network is much faster than the phase-separation process, so CTBN rubber particles will not form properly. Further, CTBN increases the viscosity of the epoxy significantly, and thus CTBN-modified resins are less suitable for use with infusion processes than the lower viscosity CSR-modified resins. The diameter of the CTBN particles is dependent on the cure conditions, so cannot be readily controlled and will vary, especially through a thick composite component. The toughness of CTBN-modified epoxies varies with particle size [13], so this can lead to a concomitant variation in properties. Thus for many applications pre-formed CSR particles may be more suitable than phase-separating rubbers such as CTBN. The toughness of fibre-reinforced composites (FRCs) with CSR-modified matrices has been discussed by Day et al. [14] and Tsai et al. [15], but there is relatively little work in the literature that discusses these materials. The toughening mechanisms responsible for the increased toughness have been reported as cavitation of the rubbery core followed by plastic void growth, and shear deformation in the polymer matrix [9-11]. In these studies, the CSR particles used were in the micron range. In other work [16, 17], cavitation was not observed but there was debonding at the interface between the core and the shell. Both cavitation and debonding relieve the constraint in the epoxy and allow plastic deformation, thus increasing the toughness. It has been suggested the toughening effectiveness decreases when using particles less than 0.2 ๏ญm in diameter as they are difficult to cavitate [11]. However, several recent studies [18-20], have 2 demonstrated that nanoscale CSR particles (i.e. ~100 nm in diameter) can fully cavitate. This is supported by modelling work which shows that more energy is required for the cavitation of small particles, but does not show a size limit below which cavitation will not occur [21]. Recent developments in nanotechnology have seen the utilisation of rigid nanoparticles to toughen epoxies. Nanoparticles such as silica, alumina and titanium oxide with a 5-50 nm diameter range [22] have been used widely with epoxy resins. The toughening of polymers using silica nanoparticles has been discussed extensively in the literature [23-29]. The toughening mechanisms have been identified as debonding followed by plastic void growth, and shear deformation in the polymer matrix [27, 30]. However, the increases in toughness are generally relatively small compared to those from rubber particles, as only 1 in 7 silica nanoparticles debond to form cavities [31], compared with all of the rubber particles (which either debond or cavitate). The use of silica nanoparticles in toughening of fibre-reinforced composites (FRCs) have been reported by Kinloch and co-workers under both static [23-25, 32] and fatigue [33-35] loading conditions. Among the advantages of using silica nanoparticles are that the particles do not increase the viscosity of the resin significantly, do not exhibit thixotropic properties, have good dispersion and also are free of agglomeration. These properties allow their application in the resin infusion manufacturing method [36]. The suitability of this modified epoxy as a new type of matrix for manufacturing FRCs using injection technology (or liquid composite moulding techniques) has been further discussed by Mahrholz et al. [36]. These studies [23-25, 27, 32-35] have reported that the silica nanoparticles increase the fracture energy and tensile modulus of the epoxy and have no effect on the thermal properties. An improved fatigue life and reduced fatigue crack growth have been observed [33-35]. In addition to the toughening mechanisms described above, fibre bridging increases the toughness of FRCs. However, the addition of silica nanoparticles may affect the level of fibre to matrix adhesion. Tsai et al. [15] attributed the moderate toughness increase in their NS modified GF composites to the improved interfacial bonding between the matrix and fibre. On the other hand, Wichmann et al. [37] found the fibre/matrix interface of GF composite with a NS-modified matrix was very weak, leading to a nearly entire interfacial failure. In the present work, the matrix contribution towards the fracture energy for GF composites is discussed, where composites at various CSR and NS concentrations are compared with the unmodified composite (GF-Control). The effect of particle concentration and particle size on the composite toughness is also studied. The toughness transfer from bulk to 3 composite is also discussed. In order to identify the toughening mechanisms responsible, the fracture surfaces of the mode I double cantilever beam (DCB) specimens were examined using scanning electron microscopy. 2 Experimental 2.1 Materials An anhydride-cured epoxy was used, with a low viscosity and a long pot life which make it suitable for resin transfer moulding and resin infusion [38]. The epoxy resin was a diglycidyl ether of bisphenol A (DGEBA), LY556 from Huntsman Advanced Materials, UK, with an epoxide equivalent weight (EEW) of 186 g/eq. The curing agent was methyl hexahydrophthalic anhydride, Albidur HE 600 from Evonik Hanse, Germany, with an anhydride equivalent weight (AEW) of 170 g/eq. A stoichiometric mixing ratio of 100:91.4 by weight was used. The glass ๏ฌbre was a multiaxial ±45° double layer non-crimp fabric (NCF) with an areal weight of 450 g/m2, from SP Systems, UK. The fabric has two layers of unidirectional fibres with a ±45° orientation relative to each other, stitched together for the ease of handling. NCF was chosen because the resulting composites exhibit higher in-plane properties, superior delamination resistance and better damage tolerance compared to conventional woven laminates due to the absence of crimp in the fibre architecture [39]. Two types of core-shell rubber (CSR) particles were used, Kane Ace MX156 and MX960 from Kaneka, Belgium. These were supplied as concentrates comprising 25 wt% of CSR particles dispersed in DGEBA epoxy resin [40]. Note that the use of such a masterbatch can give a better dispersion than conventional CSRs, which are supplied in a powder form. The MX196 and MX960 grades differ in their particle size and core material (see Table 1) where the core material for MX156 has a lower Tg [41, 42]. The silica nanoparticles (NS) used were Nanopox F400 from Evonik Hanse, Germany. They were supplied dispersed in DGEBA epoxy resin as a colloidal mixture containing 40 wt% of silica (SiO2). The particles were supplied surface-modified to prevent agglomeration, and have a narrow particle size distribution with an average particle diameter of 20 nm [43]. The particle-modified epoxy formulations were prepared by stirring the as-received CSR and NS concentrates into the epoxy resin at various concentrations. A Heidolph RZR overhead stirrer was used, fitted with a bladed impeller. The curing agent was added stoichiometrically to 4 these mixtures, and stirred again. The mixtures were degassed prior to infusion to remove any air bubbles resulting from the stirring process. 2.2 Manufacturing of GF Composites The CSR and NS particles were used at concentrations of 2, 5, 10 and 15 wt%. These mixtures were infused into 8 ply glass fibre preforms, arranged as a quasi-isotropic lay-up of [+45/-45/90/0]s to give laminates with a central 0°/0° ply interface. An additional 2 layers of carbon fibre (CF) preforms were added either side of the GF preform stacks prior to infusion. This increased the laminate stiffness to avoid large deflections of the arms during the mode I fracture tests. A layer of non-perforated, 25 µm thick fluorinated ethylene propylene (FEP) release film was inserted into the centre of the lay-up to form a 45-55 mm long starter crack. Resin infusion under flexible tooling (RIFT) was used to prepare the 300 mm x 150 mm plates. The RIFT equipment setup used is similar to that described by Donadon et al. [44, 45]. A full vacuum was applied at all times during the process, and was measured to be approximately 0.98 bar below atmospheric. Once infusion was complete, the laminates were cured for 1 hour at 90 °C, plus 2 hours at 160 °C. The inclusion of the particles into the resin did not cause significant permeability issues during infusion, and the particles were found to be fully infiltrated into the laminate. Nonetheless, the resin flow speed did decrease with increase particle concentration and this extended the infusion time. The use of polyethylene spiral tube (supplied by East Coast Fibreglass Supplies, UK), placed around the laminates helped to regulate the resin flow into the dry perform by creating a uniform flow front, thus distributing the resin evenly across the entire laminate. 2.3 Mode I Interlaminar Fracture Test Mode I interlaminar fracture toughness tests were carried out in accordance with ASTM D5528 [46] and BS EN ISO15024:2001 [47]. Double cantilever beam (DCB) specimens, of 150 mm x 20 mm were cut from the 4-mm-thick plates. The ends of the DCBs containing the starterfilm were gritblasted and acetone-wiped, and aluminium endblocks were bonded on using a two-component epoxy paste adhesive, Araldite 2011 from Huntsman, UK. The adhesive was cured at room temperature overnight. 5 The DCBs were tested at a loading rate of 1 mm/min using an Instron 5584 universal testing machine with a 5 kN load cell. The specimen was loaded in two stages. The initial loading (pre-cracking) generated a natural crack approximately 10 mm beyond the film insert. The specimen was unloaded, and then re-loaded until the crack propagated another 70-80 mm. Load-displacement curves were recorded, and the crack growth was monitored using a travelling microscope. The specimen was then unloaded, and subsequently broken open to allow the fracture surfaces to be imaged. The fracture energy, GIC, was calculated using the modified beam theory (MBT) method using [48]: ๐ฎ๐ฐ๐ช = ๐๐ท(๐น/๐ต)๐ญ ๐๐ฉ(๐ + โ) Equation 1 where P is the applied load, ๏ค is the displacement, and B is the specimen width. The endblock correction factor, N, and the large displacement correction factor, F, were applied as described in the Standard [47]. The crack length correction factor, ๏, was determined experimentally by plotting (C/N)1/3 as a function of crack length, where C is the compliance. The resulting straight line intersects the crack length axis at -๏, and a value of ๏ = 0 is used if a positive intercept is obtained, as specified by the Standard [47]. The initiation value for GIC was determined using three approaches, i.e. visual observation (VIS), deviation from non-linearity (NL) and the 5% offset or maximum load during the test (i.e. after pre-cracking) [47]. The GIC initiation (GIC Init) value quoted is the non-linear value, as accurate determination of the value from visual observation is always difficult and operator dependant. The propagation values of the fracture energy (GIC Prop) were calculated by averaging the values in the plateau region after the initiation point. Three replicate DCB specimens were used in each case. 2.4 Microscopy Analysis Microscopy of the fracture surfaces used a Hitachi S-3400N scanning electron microscope (SEM), and a Leo Gemini 1525 field emission gun SEM (FEGSEM). A thin layer of gold or chromium was sputtered onto the specimens prior to imaging. An accelerating voltage of 15 kV and a working distance of 5 to 7 mm were used. Images were taken from both the initiation and propagation regions. 6 3 Results 3.1 Introduction The mode I fracture energies, at initiation and propagation, for the GF composites with CSR and NS particle concentrations ranging from 2 – 15 wt% are discussed. The fracture behaviour and the toughening mechanisms of these composites are identified from electron micrographs, to understand the correlation between the fracture energy, the type of crack growth and detailed features of the associated fracture surfaces. However, firstly the relevant bulk matrix properties are presented. 3.2 Bulk Polymer Tg and Young’s Modulus The properties of the anhydride-cured epoxy used in the present work when modified with CSR particles have been investigated by Giannakopoulos et al. [17] and with NS particles by various authors [23-25]. The relevant properties are quoted in Table 2. A glass transition temperature, Tg, of 143°C was measured for the unmodified epoxy using differential scanning calorimetry. (Note that some authors measured the T g using dynamic mechanical analysis and a higher value of 153°C was measured [23], as expected). The addition of these particles did not significantly affect the Tg values, as they lie within the reported experimental error of ±3°C. A Young’s modulus, E, of about 2.9 GPa was measured for the unmodified epoxy. For the CSR modified epoxy, the Young’s modulus decreased approximately linearly with increasing particle concentration, due to the low modulus of the rubber [17]. The effect of the particle choice was clear as the E for the epoxy with the MX960 CSR particles was lower than that using the MX156 CSR, and this was attributed to the larger volume of the soft core compared to the total particle volume [17]. The addition of NS particles increased the Young’s modulus because the modulus of the NS particles is much higher than that of the matrix [25]. 3.3 3.3.1 GF Composites with Unmodified Matrices (GF-Control) Mode I Fracture Energy Fracture of the GF-Control occurred in a stable manner, and no stick-slip crack growth was observed. However, the R-curves showed some small fluctuations in the propagation region. An initiation fracture energy of GIC Init = 328 ± 9 J/m 2, and a propagation value of 819 ± 35 J/m2 was measured. These values indicate that a significant R-curve is present, where the fracture energy increases with crack length. 7 3.3.2 Microscopy Analysis The low magnification SEM images of the GF-Control fracture surfaces are shown in Figure 1. The crisscross stitching pattern in Figure 1a is typical for NCF composites with a 0°/0° ply interface. The fracture involved fibre debonding, which occurred predominantly at the fibre/matrix interface, and pull-out. This resulted in a mixture of clean debonded and embedded fibres (see Figure 1b). Ridges and riverlines were present in the intermatrix spacing (i.e. the area between two embedded fibres) and in resin-rich areas (see Figure 1c). These features are typical of fracture in a brittle matrix. Crack branching or jumping was rarely observed as the crack stayed mainly in the same plane. The effect of the similar ply interfaces and the brittle matrix causes the crack to initiate easily and propagate in a stable manner, which explains the relatively low G IC Init and GIC Prop values when compared to composites with different ply interfaces. However, the significant Rcurve is due to the poor interfacial adhesion between the fibres and the matrix, which results in fibre debonding over a considerable length, followed by pull-out and bridging. These processes absorb energy and result in GIC Prop being significantly higher than GIC Init. 3.4 3.4.1 GF Composites with MX156 CSR Toughened Matrices (GF/MX156) Mode I Fracture Energy Example R-curves for the GF/MX156 composite samples are shown in Figure 2. The relatively constant plateau values of the R-curve indicate that stable crack growth occurred. The calculated fracture energies are summarised in Table 3. Compared to the Control, the addition of the CSR particles increased considerably the fracture energy at initiation and propagation. The initiation fracture energies increased approximately linearly with the CSR content, to a maximum of GIC Init = 829 ± 22 J/m2. These results are in broad agreement with the corresponding bulk polymer properties reported by Giannakopoulos et al. [17], indicating that the initiation values are dominated by the matrix toughness. However, the composite values are slightly higher than the bulk due to the extra toughening mechanisms from the glass fibres. The propagation values were significantly higher than the initiation fracture energies, due to extra toughening from the fibres. However, it is noteworthy that the increase in toughness with CSR content is relatively slight. Previous authors have suggested that a poor dispersion quality of CSR particles in the epoxy matrix will reduce the toughening efficiency, as discussed 8 by Becu et al. [19] and Qian et al. [49]. However, microscopy showed that the CSR particles were well-dispersed, so this does not apply here. 3.4.2 Microscopy Analysis Figure 3 shows SEM images of the fracture surfaces of the GF/MX156 composites with 5 wt% and 15 wt% particle concentrations at a low magnification. The fracture was mainly cohesive near the interface, where the crack propagated through the matrix layer leaving the fibres mostly embedded in the matrix, indicating a strong fibre to matrix interfacial adhesion. Loose and broken fibres were seen, plus fibre pull-out, but these were less common than for the GF-Control discussed above. However, the increased interfacial adhesion and the increased matrix toughness mean that each pulled-out fibre contributes more energy, and hence a similar magnitude of R-curve is attained compared to the GF-Control. The fracture surfaces of the 15 wt% CSR samples in Figure 3b were much rougher than those of the 5 wt% CSR, with more river lines and ridges, indicating a more intense deformation and higher toughness owing to the higher CSR particle concentration. Figures 4 and 5 show high-magnification micrographs of the fracture surfaces, with 5 wt% and 15 wt% CSR particle concentrations respectively. Voided CSR particles and matrix deformation on the fracture surfaces are visible in these images. These voids are formed due to cavitation of the cores of the particles, followed by void growth via plastic deformation of the epoxy. Once cavitation has occurred, the reduction of constraint allows the epoxy to plastically deform. These mechanisms are responsible for the increase in the fracture energy. Based on the void distribution shown in these images, the CSR particles were dispersed homogeneously across the entire matrix, with no agglomeration observed. Cavitation also indicates that there is excellent adhesion between the epoxy matrix and the PMMA shell of the CSR particles. The void diameters were measured using ImageJ software [50], and a mean diameter of 110 ± 27 nm was obtained. This is only slightly larger than the nominal core diameter of 100 nm quoted by the manufacturer, see Table 1. However, Giannakopoulos et al. [17] measured the actual core diameter using atomic force microscopy to be 58 ± 13 nm. (Note that some variation in the measured value is expected due to the particles being sectioned at random plane during microtome process). This large increase in the mean diameter, from 58 nm for the uncavitated particles to 110 nm after cavitation and void growth, shows that the void growth mechanism is very important and will be responsible for a significant proportion of the increase in toughness. 9 For 15 wt% of CSR particles, the image in Figure 5b shows the extensive deformation of the epoxy matrix. 3.5 3.5.1 GF Composites with MX960 CSR Toughened Matrices (GF/MX960) Mode I Fracture Energy For the GF/MX960 composites, GIC Init increased approximately linearly with increasing CSR concentration (see Table 3). Indeed, the measured values were not significantly different from those for the GF/MX156 composites. The GF/MX960 composite with 15 wt% CSR showed the highest initiation value, being over 2.5 times that of the Control. As for the MX156 composites, the propagation fracture energies were somewhat higher than the initiation values, due to extra toughening from the fibres. However, it is noteworthy that the increase in toughness with CSR content is not significant, the values typically being around 1000 J/m2. This means that the GIC Prop values are only about 1.2 times that of the Control. This suggests that increasing the particle concentration does not necessarily result in higher composite propagation toughness, due to the changes in the fibre toughening mechanisms, as discussed below. 3.5.2 Microscopy Analysis Figures 6 and 7 show the SEM images of the fracture surfaces of the GF/MX960 composites with 5 wt% and 15 wt% of CSR particles respectively. Similar to the GF/MX156 composites, these show a cohesive fracture surface with high degree of surface roughness (see Figure 6a and 7a) suggesting a strong fibre to matrix interfacial adhesion. Embedded fibres were observed on the fracture surface as the crack propagated through the matrix layer. Loose and broken fibres or fibre pull-out were present, but in smaller numbers than for the GF-Control. The observed R-curve was caused by bridging and pull-out, but the higher interfacial adhesion and matrix toughness meant that fewer fibres are required to contribute to the fibre toughening mechanisms. This also means that the difference between the values of GIC Prop and GIC Init is smaller than for the Control. Cavitation of the large MX960 particles is clearly observed even at low magnifications (see Figure 6b and 7b). At high magnification, the fracture surfaces are covered in voids caused by internal cavitation of the rubbery cores, while the shells are still bonded to the matrix. These cavities are well dispersed in the epoxy matrix. The cavities vary widely in size, with the diameter ranging 10 from 200 to 750 nm in Figure 6c, and from 150 to 600 nm in Figure 7c. Note that these cavities are fractured at a random plane, resulting in the variation of size, and resulting in some cavities being smaller than the original particles if they fractured close to one of the poles. As the cavities are substantially larger than the particle diameter of 186 ± 100 nm [17] (see Table 1), this indicates that the cavities continued to enlarge by plastic deformation of the epoxy after the cores cavitated. Although the CSR particles were fully-cavitated and relieved the constraint at the crack tip, the cavitation process is considered generally to absorb little energy compared to the plastic deformation in the matrix. 3.6 3.6.1 GF Composites with Silica Nanoparticle Toughened Matrices (GF/NS) Mode I Fracture Energy All of the GF/NS composite samples showed rising R-curves, indicating that fibre bridging occurs during crack propagation. The fracture energy results (see Table 3) were significantly lower than those for the CSR particle-modified composites. Indeed, no significant toughness improvement was measured for the 2 wt% and 5 wt% NS concentrations. The lack of toughening efficiency of the composites with NS modified matrices has also been observed by Hsieh et. al. [25] for their quasi-isotropic (QI) GF composites and Zeng et. al. [20] for their woven CF composites. (It is worth noting that the composites in Hsieh et. al. [25] were manufactured using the same epoxy-hardener combination, cured using the same curing profile and had the same midply interface configuration as in the present work.) Zeng et. al. [20] argued that the presence of much stiffer fibres may have constrained the matrix deformation, and that a weakened fibre/matrix interface contributed to the poor fracture resistance in the composite. However, in the present work the fibre to matrix adhesion is relatively good. This is discussed further below. 3.6.2 Microscopy Analysis The fracture surfaces of the composites containing 5 wt% and 15 wt% of silica nanoparticles are shown in Figures 8 and 9 respectively. The fracture occurred cohesively in the resin-rich layer in-between the midply. Loose and pulled-out fibres were present on the fracture surfaces. The debonded fibres were covered with matrix indicating a good fibre to matrix interfacial adhesion. The matrix fracture, on the other hand showed a relatively flat surface with no large scale plastic deformation except for textured microflow and riverlines. 11 At a higher magnification for the samples with 15 wt% of silica nanoparticles (see Figure 9c), it is difficult to distinguish between the silica nanoparticles and the chromium coating used to make the surface conductive for microscopy. Particle debonding and void growth in the matrix are hard to identify, as the voids would be approximately 30 nm in diameter. These voids are much smaller than those created by the cavitation of even the smaller CSR particles (which are about 90 nm in diameter). It is thought that the coating has covered any voids present on the fracture surface, as has been noted in previous work [31]. This is confirmed by examination of Figure 8c, which shows the composite with 5 wt% NS, where voids are clearly visible on the fracture surface. This confirms that debonding and void growth does occur, and hence the toughness should increase. However, previous work has shown that only 14.3% of the silica nanoparticles will undergo debonding and void growth, and hence the toughening effect is small (and is lost within the experimental error at this low silica concentration). 4 Discussion 4.1 Effect of Particle Size and Particle Concentration The relationships between the fracture energy and particle concentration for the bulk and the GF composite (GIC Init) are shown in Figure 10. The bulk polymer data are taken from previous research by Masania and co-workers [17, 24]. A general trend can be seen from these figures whereby the addition of CSR and NS particles greatly enhanced the bulk and composite toughness. The similarity of the bulk and composite data at initiation suggests a dominant matrix influence. This is expected as GIC Init is often considered to be a material property of composite materials and to be independent of fibre bridging effects [51]. It is also apparent that the CSR particles provide a more significant toughening effect than the NS particles. The CSR particle size had little influence on the toughness when the error bars are considered. Kim et al. [11] have demonstrated that the toughness of such systems is more dependent on particle content rather than size because of limited shear deformation in the matrix. The cavitation resistance of rubber particles increases with decreasing particle size [52], so the MX156 would be expected to show a greater cavitational resistance than MX960. However, all of the particles cavitated, so the triaxial stresses which cause cavitation were clearly high enough to overcome the cavitation resistance. As all of the particles cavitated then the same toughening mechanisms were activated, hence the toughness of the CSR-modified epoxies was approximately the same, and there was no size effect. 12 For toughening with NS particles, the increase in toughness is less steep with particle concentration than for the CSR particles (see Figure 10). Only one particle size was used in the present work, but Dittanet and Pearson [27] used NS particles 23, 74 and 170 nm in diameter with bulk epoxy polymer samples. They concluded that the toughness increased with increasing NS particle concentration, and that the NS particle size has a negligible effect on the fracture toughness. The independence of bulk fracture toughness on the NS particle size has also been reported by Liang and Pearson [30] and Bray et al. [31]. Indeed, Bray et al. [31] used modelling to confirm that particle diameters from 23 nm to 170 nm had no effect on the toughness. With respect to the toughening mechanisms, the silica nanoparticles are less effective than the core shell rubber particles. Both types of particles would be expected to initiate shear yielding. All of the core-shell rubber particles would be expected to cavitate, and the micrographs shows that this does occur. However, previous work has shown that only 14.3% of the silica nanoparticles will show debonding and void growth [31]. Examination of the micrographs for 5 wt% NS indicates that the silica nanoparticles undergo debonding and void growth. The results show that ΔGIC is similar for GIC Bulk and for GIC Init, which implies that the toughening mechanisms would be expected to be the same. Hence, debonding and void growth would be expected, but this was difficult to observe using microscopy for the 15 wt% NS composite, as has been noted previously [31]. A different trend was observed for GIC Prop, whereby there was no clear relationship between the fracture energy and the particle concentration (see Table 3), due to the influence of the fibres. However, comparing the two types of CSR particles, the effect of the rubber particle size was insignificant. In CSR modified epoxy, previous work has shown that the degree of particle dispersion strongly affected the fracture toughness whereby a uniform dispersion of CSR particles can lead to a higher fracture energy [49]. From microscopy analysis, both types of CSR particles were observed to be well dispersed in the present work. It should be noted that there was strong interfacial adhesion between the shell of the CSR particles and the matrix, as evidenced by the cavitated rubbery cores on the fracture surfaces. Otherwise, had the interfacial adhesion been poor, debonding of CSR particles would have occurred. 4.2 Toughness Transfer The efficiency of the transfer of toughness from the bulk to the GF composites can be considered by plotting the values of GIC composite vs. GIC bulk. Figure 11 shows the 13 relationship for the CSR particles (MX156 and MX960), and Figure 12 for the silica nanoparticles. The diagonal line represents the 1 to 1 relationship between the GIC values, indicating that a full transfer of matrix toughness to the composite has been achieved. In all cases, the composite fracture energy is greater than that of the bulk. In general there is an increase in bulk toughness with increasing particle concentration, and this gives a positive effect in improving the composite fracture resistance. The G IC Init values tend to lie slightly above the 1:1 relationship, and the G IC Prop values further above due to the additional fibre toughening mechanisms such as bridging [53]. However, the effect of fibre bridging in the modified matrices is somewhat reduced compared to the Control due to the better interfacial adhesion noted above, which reduces the length of fibre which pulls out and bridges. The fibre to matrix adhesion is also better than that observed by Hsieh et al. [24] for a CTBN-modified matrix. The correlation between the matrix toughness (GIC bulk) and the composite toughness (GIC composite) has been discussed in several studies [54-56]. These concluded that in brittle matrix composites, the GIC composite is higher than GIC bulk indicating a full toughness transfer from matrix to composite. The higher composite toughness was due to toughening mechanisms which are not present in the bulk. In composites with tougher matrices there is only a partial transfer of matrix to composite toughness due to the presence of the ๏ฌbres, which restrict the plastic zone size. Bradley [57] as cited by Siddiqui et al. [55] has established criteria for the level of toughness transfer based on the bulk toughness as follows: i). For GIC bulk lower than 500 J/m 2, GIC composite is greater than GIC bulk and there is an approximately linear correlation between these toughness values. ii). For GIC bulk between 500 J/m 2 and 2000 J/m 2, the toughening increment of GIC composite is much smaller than GIC bulk. iii). For GIC bulk above 2000 J/m 2, there is little increase in GIC composite. The GF composites at initiation for the CSR and the NS modified matrices are located slightly above the diagonal line suggesting a slightly higher than 1:1 toughness transfer. The toughness transfer was also found to increase linearly with increasing particle concentration and seemed to follow the established trend (i) for GIC bulk lower than 500 J/m2. In the propagation region, the GIC values for the composites with modified matrices fall well above the diagonal line indicating the fracture toughness is largely affected by the fibre toughening effect. 14 It has been argued that GF composites with tougher matrices (500 to 2000 J/m 2) can only achieve partial toughness transfer as the GIC composite is lower than GIC bulk [55, 57]. However, this is not the case for the results obtained in this study as all G IC composite values were higher than the GIC bulk. This discounted the conclusion that the stiff fibres restricted the deformation of the plastic zone. The size of the plastic zone is calculated below to support this argument. Indeed the data better support the conclusions of Hunston et al. [58] who proposed that full toughness transfer occurs up to a fracture energy of 1000 J/m 2. Therefore, it can be said that the increase in the matrix toughness for CSR and NS modified matrices is fully transferred to the composites. 4.3 Plastic Zone Size The plane strain dimension of the plastic zone can be calculated based on Irwin’s model, assuming that the zone is circular and the crack occurs in the matrix region, using Equation 2 [59]. ๐๐ = ๐ ๐ฒ๐ฐ๐ช ( ) ๐๐ ๐๐ ๐ Equation 2 where KIC is the fracture toughness and σy is the yield stress of the bulk polymer. The calculation uses the bulk properties for the CSR and NS modified epoxies from previous work [17, 24], interpolating where necessary. A plastic zone radius of 1.8 μm was calculated for the Control. The maximum plastic zone size of 13.4 μm radius was calculated for the 15 wt% MX156. The other formulations fall between these two limits. The plastic zones are substantially larger than the radius of the CSR and NS particles, so the particles readily fit within the zone and hence can actively toughen the matrix. When comparing the plastic zone size and the thickness of the matrix region between the plies, even the largest plastic zone diameter of MX156 at 15 wt% concentration (i.e. ~27 ๏ญm) is still smaller than the matrix thickness. Therefore it can be concluded that the presence of fibres in the composite did not impose any significant restriction on the damage zone and so the bulk toughness is fully transferred to the composite. 5 Conclusions The fracture behaviour of glass fibre (GF) composites toughened with core-shell rubber particles (CSR) or silica nanoparticles (NS) was investigated using mode I interlaminar fracture tests. Two types of CSR particles with different particle size and core/shell materials were 15 employed in this study. The effects of particle concentration, particle size and interfacial adhesion on the composite toughness were discussed. The addition of CSR or NS particles increased the fracture toughness of the bulk polymer and GF composites, and fracture toughness increased approximately linearly with increasing particle concentration. The CSR particles provided a far larger toughening effect than the NS particles. The particle size has no influence on the toughness of the CSR modified epoxy composites. The composites achieved full toughness transfer as the GIC composite values are much higher than GIC bulk. The effect of fibre restriction on the damage zone has been discounted as the matrix thickness is much larger than the plastic zone size. The toughening mechanisms were identified using scanning electron microscopy. The particles were well-dispersed in the epoxy. All of the CSR particles cavitated, giving increased toughness by plastic void growth and shear yielding. 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CSR toughened epoxy [17] Bulk Property Control Tg DSC (°C) 145 NS toughened epoxy [23, 24] 9 wt% 9 wt% MX156 MX960 143 146 Tg DMA (°C) E (GPa) 2.76 ± 0.08 2.33 ± 0.04 8 wt% 11 wt% NS NS 143 136 141 153 154 151 2.96 3.42 3.57 Control 2.21 ± 0.02 Table 3 : Mode I interlaminar fracture energy for GF composites with various CSR and NS concentrations. Mode I Fracture Energy, GIC (J/m2) Particle Content, wt% MX156 MX960 NS GIC Init GIC Prop GIC Init GIC Prop GIC Init GIC Prop 0% 328 ± 9 819 ± 35 328 ± 9 819 ± 35 328 ± 9 819 ± 35 2% 429 ± 41 1059 ± 52 398 ± 12 798 ± 47 285 ± 37 514 ± 56 5% 455 ± 19 1012 ± 51 543 ± 25 1049 ± 51 297 ± 12 626 ± 46 10% 651 ± 39 1054 ± 40 626 ± 35 1045 ± 59 449 ± 45 849 ± 40 15% 829 ± 22 1475 ± 62 842 ± 23 961 ± 55 499 ± 100 810 ± 25 20 Crack direction (a) Crack direction (b) (c) Crack direction Intermatrix spacing Figure 1 : GF-Control – Fracture surfaces at initiation/propagation showing (a) Crisscross stitching pattern, (b) Clean debonded fibres, and (c) Brittle matrix deformation at intermatrix spacing. Fracture Energy, GIC J/m2 2000 1600 1200 800 2% 5% 400 10% 15% 0 20 40 60 80 100 120 Crack Length, a mm Figure 2 : R-curves of fracture energy versus crack length for GF/MX156 composites at various concentrations of core-shell rubber particles. 21 (a) Crack direction (b) Crack direction Embedded fibres Figure 3 : Fracture surfaces of GF/MX156 composite at low magnification. (a) 5 wt% CSR (b) 15 wt% CSR (b) (a) (c) Figure 4: Fracture surfaces of GF/MX156 composite at high magnification – 5 wt% CSR. 22 (b) (a) Figure 5 : Fracture surfaces of GF/MX156 composite at high magnification – 15 wt% CSR. (b) (a) (c) Figure 6 : Fracture surfaces of GF/MX960 composite – 5 wt% MX960 CSR. 23 (b) (a) (c) Figure 7: Fracture surfaces of GF/MX960 composite – 15 wt% MX960 CSR. (a) (b) (c) Figure 8: Fracture surfaces of GF/NS composite – 5 wt% NS. 24 (a) (b) (c) Figure 9 : Fracture surfaces of GF/NS composite – 15 wt%NS. 25 (a) (b) Figure 10 : Fracture energy vs. particle concentration (a) Bulk G IC [17, 24], and (b) Composite GIC Init. 26 (a) (b) Figure 11 : Toughness transfer at crack initiation and propagation for (a) GF/MX156 composites (b) GF/MX960 composites. Numbers in brackets represent the particle concentration. 27 Figure 12 : Toughness transfer at crack initiation and propagation for GF/NS composites. Numbers in brackets represent the particle concentration. 28