Epoxy modified with triblock copolymers: morphology, mechanical properties and fracture mechanisms Jing Chen, Ambrose C. Taylor* Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK. * Corresponding author: Tel. +44 2075947149, Fax: +44 2075947017, Email: a.c.taylor@imperial.ac.uk Abstract The morphology, fracture toughness, and mechanical properties of an anhydride-cured diglycidylether of bisphenol A (DGEBA) epoxy polymer modified with poly(methyl methacrylate)-bpoly(butylacrylate)-b-poly(methyl methacrylate) (MAM) have been investigated. The addition of three different MAM triblock copolymers (M22N, M52N, and M52) to the epoxy polymer gives two different microstructures. An organised nanostructure with well-dispersed worm-like micelles was obtained using M22N, and the addition of M52N or M52 gives dispersed micron-size particles in the epoxy matrix or a co-continuous microstructure at higher MAM contents. These triblock copolymers toughen the epoxy polymer significantly, with only a slight reduction of the mechanical and thermal properties of the epoxy polymer. The maximum values of fracture toughness and fracture energy (1.22 MPam1/2 and 450 J/m2) were measured using 12 wt% M22N, which is an increase of 100% and 350% respectively compared to the unmodified epoxy. The M52 and M52N modified materials show a maximum toughness when a co-continuous microstructure is formed. The potential toughening mechanisms are identified and discussed. Keywords Epoxy; Block copolymer; Nanostructure; Fracture toughness; Toughening mechanisms; Mechanical properties 1 1. Introduction Epoxy polymers are a class of high-performance thermosetting polymers, which are known for their excellent engineering properties, such as a high modulus, low creep, high strength, and good thermal and dimensional stabilities. However, epoxy polymers inherently have low toughness and impact resistance due to their highly crosslinked structure. This phenomenon leads to brittle behaviour and causes the polymer to suffer from poor resistance to crack initiation and growth. To improve the toughness of epoxy polymers, one of the most successful conventional methods is to incorporate rubber modifiers into the epoxy systems to form a multi-phase structure with a discrete rubbery phase [1-3]. These polymer modifiers that are typically added to the epoxy systems are linear homopolymers and random copolymers, which generally give a second soft phase in the size of micrometres in the cured epoxy polymers [3-5]. Recently, the use of block copolymers (BCPs) to generate micro- and nanostructured phases has shown great potential to toughen epoxy polymers, e.g. [3, 5-12]. Amphiphilic block copolymers with epoxy-miscible blocks and epoxy-immiscible blocks can selforganize into nanostructures in the uncured epoxy polymer by using the epoxy as a selective solvent, from which a variety of substructures can be obtained, e.g. vesicles, spherical micelles, and worm-like micelles [3, 8, 13-16]. These self-organized nanostructures can subsequently be preserved by the polymerisation process of the epoxy polymer. However the successful preservation of the nanostructure in the cured epoxy polymer depends on the composition of the block copolymer, the miscibility of the epoxy-miscible blocks and the epoxy precursor, the curing agent, and the curing process. It was proposed that the key factor determining whether the nanostructuration can be preserved is that the miscible block of the block copolymer needs to remain miscible with the epoxy polymer up to a very high conversion ratio during the epoxy polymerisation process [3, 14, 15, 17, 18]. Due to the great potential of BCP toughening, considerable attention has been given to this area after Hillmayer et al. [19] first reported the ordered nanostructure of an epoxy polymer modified with poly(ethylene oxide)-b-poly(ethylene) (PEO-PEE) and poly(ethylene oxide)-b-poly(ethylene-altpropylene) (PEO-PEP). Since then, numerous studies have reported that incorporating amphiphilic diblock and triblock copolymers into epoxy polymers can significantly improve the toughness of the epoxy polymer, with only a minor reduction in the modulus and the glass transition temperature, Tg, [46, 9-13, 20, 21]. In contrast, a significant reduction in the modulus and the Tg is often caused by conventional rubber toughening, e.g. [1, 22, 23]. However, most research on the effect of block copolymers only focuses on the effect of the morphology on the mechanical properties of the cured epoxy polymer. Few studies investigate the toughening mechanisms of the block copolymer toughened epoxy polymer. Dean et al. [16] investigated the toughening mechanisms of a PEO-poly(1,2-butadiene) (PB) and poly(methyl methacrylate-co-glycidyl methacrylate)-poly(2-ethylhexyl methacrylate) (MMAEH) modified epoxy system which used poly(bisphenol A-co-epichlorohydrin) (BPA348) as the epoxy and 4,4’-methylenedianiline (MDA) as the hardener. They ascribed debonding and the subsequent void growth and plastic deformation as the toughening mechanisms for their nanostructured epoxy polymer with dispersed vesicles. Liu et al. [6] investigated the toughening mechanisms of a poly(ethylene-altpropylene)-b-poly(ethylene oxide) (PEP-PEO) toughened epoxy system which used diglycidyl ether of bisphenol-A (DGEBA) epoxy and 1,1,1-tris(4-hydro-xyphenl)ethane (THPE) as the hardener. The 2 morphology of the resulting epoxy polymer contained dispersed worm-like micelles. The authors proposed that the toughening mechanisms responsible were a combination of many mechanisms: cavitation or debonding, shear yielding, crack tip blunting, crack bridging, and viscoelastic energy dissipation [6]. Nevertheless, many studies either only briefly mention the toughening mechanisms of the block copolymer modified epoxy systems, or the toughening mechanisms were the subject of preliminary work only. This study systematically investigates the microstructure, the mechanical properties, and the toughening mechanisms of an epoxy polymer modified with block copolymers. Three different commercial poly(methyl methacrylate)-b-poly(butylacrylate)-b-poly(methyl methacrylate) (MAM) triblock BCPs were used. They were M22N, M52N, and M52 from Arkema, France, and possess different epoxy compatibility. They were used to modify an anhydride cured DGEBA resin, which has previously been used to investigate silica nanoparticle toughening [24, 25]. A set of mechanical tests and microscopy work were carried out to study these MAM modified epoxy polymers. The blend morphology, structure/property relationship, and thermal-mechanical behaviour of the modified epoxy polymers are discussed. The toughening mechanisms involved are also identified and discussed. 2. Materials and Experimental Procedure 2.1. Materials An anhydride-cured epoxy system was used. The epoxy resin was a standard diglycidyl ether of bisphenol-A (DGEBA, Araldite LY556) with an epoxide equivalent weight (EEW) of 186g/eq, supplied by Huntsman, UK. The curing agent was an accelerated methylhexahydrophthalic acid anhydride (Albidur HE600) with an anhydride equivalent weight (AEW) of 170g/eq, supplied by Nanoresins, Germany. Three different poly(methyl methacrylate)-bloc-poly(butylacrylate)-blocpoly(methyl methacrylate) (PMMA-b-PbuA-b-PMMA) block copolymers (M22N, M52, and M52N) supplied as powders by Arkema, France, were used as modifiers. The molecular weight and the softphase content of the M52 and M52N are similar, both being categorised as ‘medium’ in the Arkema datasheet [26]. The suffix N indicates that the MAM incorporated dimethylacrylamide (DMA) into the PMMA blocks to increase the compatibility of the miscible block with more polar curing agents [26, 27]. The M22N has a higher molecular weight, and a slightly lower soft-phase content, than the M52 and M52N. M22N is also described as more polar than M52N [26]. The bulk samples were prepared by gently mixing the DGEBA epoxy resin with the relevant amount of the BCPs at room temperature to avoid agglomeration of the powders. The temperature was increased to 120°C, and then the mixture was stirred for at least 60 minutes using a mechanical stirrer to ensure all the powder was fully dissolved in the epoxy resin. The resin mixture was subsequently put into a vacuum oven and degassed at 90°C and -1 atm for at least 15 minutes until the mixture was free of bubbles. A stoichiometric amount of the anhydride curing agent was then added, and stirred thoroughly for 15 minutes. The resin mixture was degassed again at 70°C and -1 atm. After degassing, the mixture was poured into release-agent (Frekote 770, Henkel) coated steel moulds to produce plates of bulk polymer from which samples for testing could be machined. The steel moulds were placed in an oven 3 and the resin mixture was cured at 90°C for 60 minutes, plus a post-cure of 160°C for another 120 minutes. Various formulations were prepared in this study. They are named according to the following rule, viz. unmodified epoxy (termed ‘control’), epoxy with MAM block copolymers (termed XY), where X refers to the amount of BCP contained in the total formulation by percentage weight and Y refers to the MAM type. Up to 12 wt% of each BCP was used. 2.2. Bulk Thermal and Mechanical Tests 2.2.1. Dynamic Mechanical Analysis The glass transition temperature, Tg, of all the bulk samples was measured using dynamic mechanical analysis (DMA) with a Q800 DMA machine from TA Instruments in double cantilever mode at 1 Hz, on specimens of 60 x 10 x 3 mm3. The temperature range was -80 to 200°C with a heating rate of 4°C/min. The value of Tg was determined at the peak value of tan δ. The number average molecular weight between cross-links, Mnc, was also calculated from the equilibrium modulus, Er, in the rubbery region by using πππ = πππ π/πΈπ (1) where T is the temperature at which the value of Er was taken, ρ is the density of the epoxy at temperature T, R is the universal gas constant, and q is the front factor (a value of 0.725 was used to obtain reasonable result, because only density of the epoxy at 23°C was measured) [22, 28]. The density of the epoxy samples was measured according to BS ISO 1183-1 method A [29]. 2.2.2. Uniaxial Tensile Tests Uniaxial tensile tests were conducted in accordance with the BS ISO 527 standard [30], using an Instron 5584 universal testing machine. Dumbbell specimens with a gauge length of 25 mm were machined from the bulk plates. The tests were performed at a constant displacement rate of 1 mm/min and a test temperature of 21°C. The displacement over the gauge length of the samples was accurately measured using an Instron 2620-601 dynamic extensometer. The maximum tensile stress for each sample was recorded, and the elastic modulus, E, was calculated between strains of 0.0005 - 0.0025. At least five samples were tested for each formulation. 2.2.3. Plane Strain Compression Tests Plane-strain compression (PSC) tests were performed after Williams and Ford [31], using bulk polymer samples to obtain the yield stress and the high strain behaviour, neither of which can usually be obtained from tensile tests because of the brittleness of the samples. The tests were performed at 21°C using an Instron 5585H using a constant displacement rate of 0.1 mm/min to approximately match the strain rate from the tensile tests. Samples with a size of 40 x 40 x 3 mm3 were used, and loaded in compression between two parallel 12 mm wide dies. A minimum of two specimens were tested for each epoxy polymer formulation. The results of the tests were corrected by subtracting the machine and rig compliance. Based on the von Mises criteria, the true compressive stress, σc, was calculated using: 4 √3 ππ = ( 2 ) ππΈ (2) where σE is the engineering stress. The true compressive strain, εc, was calculated using: 2 π΅ ππ = ( ) ln ( π΅π) (3) √3 where Bc is the compressed thickness and B is the initial thickness [25]. 2.2.4. Single-Edge Notch Three-Point Bending (SENB) Tests The single-edge notch three-point bending (SENB) tests were conducted in accordance with the BS ISO 13586 standard [32], using an Instron 3369 universal testing machine equipped with an Instron 2620-601 dynamic extensometer to obtain the fracture toughness, KIc, and the fracture energy, GIc, of the samples. The SENB samples were machined from the bulk plates, and the pre-cracks were produced by tapping a liquid nitrogen chilled razor blade into the notch. The lengths of the pre-cracks were measured using a Nikon SMZ800 stereo microscope. The tests were conducted at a constant displacement rate of 1 mm/min and a test temperature of 21°C. All the samples failed by unstable crack growth, and the fracture toughness was calculated using: π πΎπΌπ = π΅π 1/2 π(πΌ/π) (4) where P is the critical load, B is the sample thickness, W is the specimen width, a is the average precrack length, and f(a/W) is the non-dimensional shape factor [32]. The plane strain fracture energy was calculated from KIc using [32]: πΊπΌπ = 2 πΎπΌπ (1 − πΈ π£ 2) (5) where υ is the Poisson’s ratio. A value of υ = 0.35 was used, as is typical for epoxy polymers [33]. 2.2.5. Double-Notched Four-Point Bending (DN-4PB) Test Double-notched four-point bending (DN-4PB) tests were conducted to investigate the plastic deformation zone ahead of the sub-critically loaded crack tip, to understand the contribution and the sequence of the toughening mechanisms. The DN-4PB tests were performed as described by Sue and Yee [34]. An Instron 5584 universal testing machine was used to load the specimens in four-point bending, at a constant displacement rate of 1 mm/min and a temperature of 21°C. The samples were machined from the bulk plates and the pre-cracks in the samples were produced by tapping a liquid nitrogen chilled razor blade into the notches. Care was taken to ensure the four loading points contacted the specimens simultaneously in the tests. After fracture occurred from one pre-crack, the plastic zone at the tip of the other, sub-critically loaded, crack was examined using optical microscopy. 2.3. Microscopy studies 2.3.1. Atomic Force Microscopy Atomic force microscopy (AFM) was performed, using a MultiMode scanning probe microscope from Veeco equipped with a NanoScope IV controller and an ‘E’ scanner, to obtain the polymer morphology. The smooth surface of the samples was prepared using a PowerTome XL ultramicrotome from RMC. Silicon probes were used in tapping mode. Both height and phase images were captured at 512 x 512 pixel resolution and at a scan speed of 1 Hz. For the phase images, which are sensitive to viscoelastic 5 properties, the apparent hardness of the material is shown by the colour of the phase images, in which the harder phases are brighter [35]. 2.3.2. Field Emission Gun Scanning Electron Microscopy A Leo 1525 (Zeiss) scanning electron microscope equipped with a field emission gun (FEG-SEM) was used to obtain high resolution images of the fracture surfaces. The accelerating voltage used was 5 kV. All the samples were sputter-coated with a thin layer of chromium to prevent charging. 2.3.2. Optical Microscopy Optical microscopy was carried out using an AXIO microscope (Zeiss) to investigate the plastic deformation zone ahead of the crack tip in the DN-4PB specimens. Samples were cut out from the central plane strain region perpendicular to the fracture plane and parallel to the crack direction using an Accutom-5 precision cutter (Struers) equipped with an E0D15 diamond blade. The samples were then mounted to glass microscope slides using an optically transparent adhesive (Araldite 2020, Huntsman). After mounting, these samples were ground and polished to a nominal thickness of 100 µm for observation. Samples were observed using transmission optical microscopy (TOM), with white and cross-polarised light. 3. Results and Implications 3.1. Introduction The commercial MAM block copolymers used in this study are non-reactive pure acrylic symmetric triblock copolymers which consist of a centre epoxy immiscible poly(butylacrylate) (PbuA) block and two epoxy miscible end blocks of poly(methyl methacrylate) (PMMA). These block copolymers were designed to achieve nanostructuration in thermoset systems via self-assembling before curing and polymerisation-induced fixation after curing [3, 26]. In this study, the epoxy polymer modified with the three different BCPs can be sorted into two different categories - transparent samples and opaque samples. All of the M22N modified samples are optically transparent before and after the curing process, but the optical transparency of the M52N and M52 modified samples can only be observed before gelation. This indicates that, after the curing process, no macroscopic phase separation that exceed the wavelength of visible light (about 100 µm) was happened in the M22N modified epoxy polymers, while macroscopic phase separation occurred in the M52N and M52 modified samples which gave rise to the opacity. This finding shows that M22N is more compatible to the selected anhydride-cured epoxy system compared to the M52N and M52. 3.2. Viscoelastic Properties The storage modulus, E’, and Tg values measured using DMA are summarised in Table 1. The glass transition temperature of the control was 161°C, and the number average molecular weight between crosslinks, Mnc, of the control, estimated using the theory of rubber elasticity, is 359-461(410) g/mol, which indicates that the control is a intermediately crosslinked epoxy polymer [22, 28]. The addition of MAM only causes a slight reduction in the Tg of the epoxy polymer, to 158 ±1°C, and the reduction is approximately the same for the three BCPs. There is also no trend in the reduction for increasing 6 content of BCP, see Table 1. For example, Figure 1 shows E’ and tan δ versus temperature for the control, 7 wt% M22N, 7 wt% M52, and 7 wt% M52N epoxy formulations. For the MAM modified samples, the storage modulus was lower relative to the control over the whole temperature range, indicating that the MAM is less stiff than the epoxy. The storage modulus of the 7 wt% M22N samples was higher relative to the 7 wt% M52N or M52 samples until a temperature of 127°C was reached. These results show that MAM modified samples with an ordered nanostructure retained their rigidity better than the MAM modified samples with the larger phase separation. From Figure 2, one large relaxation peak was observed for the control and all the MAM modified epoxy polymers, which is the relaxation peak of the epoxy polymer. However, a small shoulder on the tan δ curves was also distinguished next to the main relaxation of the epoxy. These observations suggest that some PMMA was phase separated from the epoxy matrix and the relaxation peak of the PMMA miscible blocks largely overlapped with the main epoxy relaxation. It is also can be seen in Figure 2 that different extents of phase separation of PMMA occurred in the MAM modified epoxy polymers. Phase separation of PMMA in the 7 wt% M22N samples is higher than the 7 wt% M52N and 7 wt% M52 samples. This result corroborates the previous suggestion that M22N may have a higher PMMA/PbuA ratio compared to M52N and M52. Table 1. Glass transition temperature, storage moduli, elastic moduli, and tensile strength of the control and MAM modified epoxy samples at 20°C. M22N Tg (ΛC) E' (GN/m2) E (GN/m2) σt (MN/m2) Control 161 3.38 2.90(±0.02) 81(±4) 2% M22N 158 3.35 2.87(±0.05) 76(±5) 3% M22N 158 3.07 2.85(±0.03) 75(±3) 5% M22N 158 2.84 2.80(±0.02) 75(±5) 7% M22N 158 3.15 2.80(±0.04) 74(±4) 10% M22N 154 3.06 2.82(±0.03) 76(±1) 12% M22N 159 3.13 2.69(±0.05) 76(±0) M52 Tg (ΛC) E' (MN/m2) E (GN/m2) σt (MN/m2) Control 161 3.38 2.90(±0.02) 81(±4) 2% M52 157 3.21 2.78(±0.08) 74(±5) 3% M52 157 3.00 2.81(±0.10) 77(±3) 5% M52 156 2.86 2.74(±0.03) 74(±3) 7% M52 157 2.65 2.60(±0.03) 68(±4) 10% M52 159 2.56 2.33(±0.04) 29(±1) 12% M52 158 2.59 2.25(±0.07) 23(±2) M52N Tg (ΛC) E' (GN/m2) E (GN/m2) σt (MN/m2) Control 161 3.38 2.90(±0.02) 81(±4) 2% M52N 159 3.37 2.81(±0.03) 68(±5) 3% M52N 156 2.91 2.81(±0.08) 76(±1) 5% M52N 159 2.68 2.69(±0.05) 73(±2) 7 7% M52N 158 2.79 2.63(±0.05) 72(±1) 10% M52N 159 2.54 2.32(±0.05) 29(±1) 12% M52N 159 2.90 2.18(±0.02) 24(±1) Control (E') 6000 1.4 7%M22N (E') 5000 1.2 7%M52 (E') Control (tan δ) 1 7%M22N (tan δ) 4000 7%M52N (tan δ) 0.8 7%M52 (tan δ) 3000 0.6 Tan δ Storage Modulus, E' (MN/m2) 7%M52N (E') 0.4 2000 0.2 1000 0 0 -0.2 -100 -50 0 50 100 150 200 250 Temperature (°C) Figure 1. DMA data, storage modulus (E’) and loss factor (tan δ) versus temperature, for the control sample and samples modified with 7 wt% of M22N, M52N, and M52. 8 Control (E') 6000 0.1 7%M22N (E') 0.08 7%M52 (E') Control (tan δ) 7%M22N (tan δ) 4000 0.06 7%M52N (tan δ) 7%M52 (tan δ) 3000 0.04 2000 0.02 1000 0 0 Tan δ Storage Modulus, E' (MN/m2) 7%M52N (E') 5000 -0.02 -100 -50 0 50 100 150 200 250 Temperature (°C) Figure 2. DMA data, storage modulus (E’) and loss factor (tan δ) versus temperature, for the control sample and samples modified with 7 wt% of M22N, M52N, and M52 with magnified tan δ axis. 3.3. Morphology The AFM phase images show the morphologies of the MAM modified epoxy polymers, and selected images are shown in Figure 3. The morphology of the control was homogeneous and featureless, as expected for a single phase thermosetting material, see Figure 3a. Heterogeneity was introduced by adding MAM. For the epoxy polymer containing M22N, wormlike micelles with a clear core/shell structure and a size ranging from 6 to 13 nm in width were observed in all the formulations containing from 2 wt% to 12 wt% of M22N, as shown in Figure 3(b-d). The exception was the co-existence of wormlike micelles and spherical micelles that was partly observed in the epoxy polymers containing 12 wt% M22N, although these were rare. By considering the volume fraction of each block in the MAM and the differences in viscoelastic properties between the epoxy matrix and the MAM, the core of the dispersed wormlike micelles was ascribed to the immiscible PbuA block, and the harder shell to the locally phase separated PMMA blocks. These findings are corroborated by the DMA results. The morphology of the M22N modified epoxy polymers shown in Figure 3(b-d) suggests that these epoxy polymers have either a three-dimensional bicontinuous gyroid microstructure, as shown in Figure 4, or a microstructure with irregular wormlike micelles well dispersed in three dimensions. For the opaque epoxy polymer samples containing M52N and M52, micro-phase separation was confirmed. Micron size phase-separated MAM particles are seen in the cured epoxy polymers, for example the polymers containing 7 wt% M52N and 7 wt% M52 are shown in Figure 3(e-f). Within the MAM particles, an ordered nanostructure with wormlike micelles can be seen, which shows the immiscibility of the M52N and M52 in this epoxy system. The occasional partly phase-inverted particle 9 was also observed using 7 wt% of M52, see Figure 3e, although these were relatively rare. It was also noted that the size of the phase separated MAM particles increased linearly as the content of the M52N or M52 increased. AFM also indicated that there was relatively good interfacial adhesion between the epoxy matrix and the particles. The use of 10 wt% of M52 or M52N gave a co-continuous microstructure, in which epoxy rich matrix with BCP particles plus phase-inverted BCP rich matrix with epoxy particles was found, as may also be seen on the fracture surfaces discussed below. Phase inversion of the cured MAM modified epoxy samples was observed when 12 wt% of M52N and M52 were added to the epoxy polymer. Here the microstructure showed a MAM matrix containing particles of epoxy which were in the range of 1.743.73 μm and 1.94-4.38 µm in radius respectively. However, no phase inversion was observed for any cured M22N modified epoxy samples even up to a high MAM content of 12 wt%. This is consistent with the findings of other studies where phase inversion will not occur if full nanostructuration of the block copolymer modified thermosetting polymers is achieved, even up to very high BCP concentrations [3, 11, 12, 14, 15, 17, 18]. (a) (b) (c) (d) 10 (e) (f) (g) (h) Figure 3. AFM phase images of epoxy polymers: (a) control, (b) 3 wt% M22N, (c) 10 wt% M22N, (d) 12 wt% M22N, (e) 3 wt% M52, (f) 7 wt% M52, (g) 3 wt % M52N, (h) 7 wt% M52N. Epoxy network PMMA block PbuA block 11 Figure 4. 3D bicontinuous gyroid microstructure of the M22N modified epoxy polymers, after [36]. (For the ball-stick model in the schematic diagram, blue network denotes epoxy; green chain end denotes PMMA block; red chain component denotes PbuA block.) 3.4. Tensile Properties The mean values of the elastic modulus and tensile strength of the MAM modified epoxy polymers are summarised in Table 1, and representative tensile engineering stress-strain curves are plotted in Figure 5. A modulus of 2.9 GPa and a tensile strength of 81 MPa were measured for the control epoxy. The addition of MAM slightly reduces the modulus and tensile strength, but the presence of the MAM allows more elongation relative to the control, indicating greater ductility of the material, see Figure 5. The data indicate that the MAM has a lower modulus and strength than the epoxy. This is clearly demonstrated for 10 or 12 wt% of M52 or M52N when there a co-continuous or phase inverted microstructure with dimensions of hundreds of microns formed, as the measured modulus and tensile strength drop dramatically (to about 2.3 GPa and 26 MPa respectively). There is no significant difference between the values of the elastic modulus and the tensile strength of the three different MAM modified epoxy polymers with low BCP contents. 90 Engineering stress, σt (MPa) 80 70 60 50 Control 40 7%M22N 7%M52N 30 7%M52 20 10 0 0 0.01 0.02 0.03 0.04 0.05 0.06 Engineering strain, ε Figure 5. Tensile engineering stress versus strain response of unmodified epoxy polymer and MAM modified epoxy polymers. 3.5. Compressive Properties Mean values of the compressive modulus, Ec, compressive true yield stress/strain, σyc/εyc, and compressive true fracture stress/strain, σfc/εfc for the control and MAM modified epoxy samples are summarised in Table 2. The values of Ec obtained were slightly smaller than the E from the tensile tests 12 shown in previous section, due to the compliance correction and frictional effects in the plane strain compression test [31]. Nevertheless, good agreement was found between the results of the plane strain compression tests and the uniaxial tensile tests. The addition of MAM reduces the modulus, and this effect is more pronounced in the M52 and M52N modified samples than for the nanostructured M22N samples. The compressive yield stress is notably higher than the tensile yield stress due to the constraint in the PSC test and the pressure dependence of yielding [37]. However, a tensile yield stress could not be measured due to the brittleness of the epoxy polymers, see Figure 5. The compressive yield stress data in Table 2 show that the addition of MAM reduces the yield stress, due to the relative softness of the MAM. Note that the M22N modified epoxies tend to have a higher yield stress than the corresponding M52N or M52 modified materials. This indicates that either there is better adhesion between the MAM and the epoxy for the M22N than the other BCPs, or that the morphology of the M22N modified samples leads to less reduction in the yield stress than the particulate structure seen for M52N and M52. The first explanation is unlikely because analysis of the fracture surfaces indicates very good adhesion between the M52N or M52 particles with the epoxy matrix, and thus it appears that the small magnitude of the reduction is due to the nanostructured bicontinuous gyroid microstructure. Representative compressive true stress-strain curves for control, 7 wt% M22N, 7 wt% M52N, and 7 wt% M52, are shown in Figure 6. These curves clearly show three different stages of deformation. Firstly, there is a relatively linear (elastic) region with a steep rise in stress at relatively small strains, until the yield point is reached. With continued loading, strain softening is observed. Thereafter strain hardening is observed until the specimens fracture. In Figure 6, the degree of strain softening (i.e. the magnitude of the stress drop after yield) was reduced by the addition of M22N relative to the control. This suggests that the M22N suppresses the macroscopic inhomogeneous yielding and strain localisation in the epoxy matrix [38]. Further, based on the preceding evidence, it can be inferred that shear band yielding will occur but may not be the only toughening mechanism contributing to the toughness improvement for the MAM modified epoxy samples in this study. A more significant reduction of strain softening is found for the 7 wt% M52N and 7 wt% M52 samples. For these samples, only a very small amount of strain softening can be seen in the compressive true stress-strain curves, see Figure 6, which suggests that the addition of M52N or M52 gives more significant suppression of the macroscopic inhomogeneous yielding and strain localisation in the epoxy matrix than the M22N. Moreover, the disappearance of strain softening of the 7 wt% M52N and 7 wt% M52 samples was consistent with the optical microscopy results, in which shear banding was not observed in the plastic deformation zone ahead of the sub-critically loaded crack tip for the 7 wt% M52N and 7 wt% M52 DN-4PB samples. The presence of the MAM does not significantly reduce the fracture stress and strain for the M22N modified material, see Table 1. However, the fracture stress is reduced for the M52 and M52N modified epoxy polymers, although the fracture strain is relatively unchanged, indicating that less strain hardening occurs. In addition, the fracture stress and strain are significantly reduced when phase inversion occurs for the M52 and M52N modified epoxy polymers, which will be discussed in section 3.8. 13 Table 2. Compressive modulus, Ec, compressive true yield strength, σyc, compressive true yield strain, εyc, compressive true fracture strength, σfc, compressive fracture strain, εfc, and fracture properties for the control and MAM modified epoxy samples. M22N Ec (GPa) σyc (MPa) σfc (MPa) εfc KIc (MPam1/2) GIC (J/m2) Control 2.49 (±0.07) 107 (±0) 264 (±3) 0.90 (±0.02) 0.60 (±0.03) 102 (±8) 2% M22N 2.55 (±0.3) 106 (±0) 253 (±36) 0.87 (±0.02) 0.73 (±0.01) 162 (±12) 3% M22N 2.35 (±0.23) 106 (±0) 264 (±23) 0.88 (±0.00) 0.73 (±0.04) 182 (±2) 5% M22N 2.40 (±0.07) 104 (±1) 282 (±5) 0.91 (±0.01) 0.91 (±0.07) 245 (±38) 7% M22N 2.25 (±0.06) 104 (±1) 275 (±39) 0.86 (±0.02) 1.05 (±0.05) 340 (+16) 10% M22N 1.79 (±0.03) 101 (±1) 288 (±14) 0.90 (±0.03) 1.22 (±0.05) 407 {±32) 12% M22N 1.82 (±0.02) 99 (±1) 278 (±12) 0.95 (±0.01) 1.22 (±0.04) 450 (±19) M52 Ec (GPa) σyc (MPa) σfc (MPa) εfc KIc (MPam1/2) GIC (J/m2) Control 2.49 (±0.07) 107 (±0) 264 (±3) 0.90 (±0.02) 0.60 (±0.03) 102 (±8) 2% M52 2.53 (±0.07) 105 (±0) 264 (±3) 0.90 (±0.02) 0.69 (±0.02) 136 (±3) 3% M52 2.74 (±0.07) 103 (±1) 221 (±13) 0.85 (±0.01) 0.79 (±0.03) 179 (±13) 5% M52 1.80 (±0.14) 98 (±1) 193 (±12) 0.84 (±0.00) 0.87 (±0.05) 234 (±33) 7% M52 1.60 (±0.07) 94 (±0) 236 (±5) 0.85 (±0.02) 0.92 (±0.06) 278 (±32) 10% M52 1.52 (±0.02) 96 (±0) 115 (±5) 0.69 (±0.02) 2.16 (±0.25) 1796 (±92) 12% M52 1.24 (±0.03) 87 (±3) 42 (±8) 0.50 (±0.04) 0.59 (±0.12) 109 (±3) M52N Ec (GPa) σyc (MPa) σfc (MPa) εfc KIc (MPam1/2) GIC (J/m2) Control 2.49 (±0.07) 107 (±0) 264 (±3) 0.90 (±0.02) 0.60 (±0.03) 102 (±8) 2% M52N 2.53 (±0.31) 105 (±0) 225 (±4) 0.86 (±0.02) 0.74 (±0.02) 165 (±12) 3% M52N 1.88 (±0.09) 103 (±1) 217 (±13) 0.85 (±0.01) 0.85 (±0.03) 233 (±24) 5% M52N 1.70 (±0.10) 99 (±0) 212 (±2) 0.83 (±0.04) 0.84 (±0.02) 218 (±2) 7% M52N 1.48(±0.11) 95(±1) 233(±22) 0.83(±0.07) 0.93 (±0.04) 303 (±18) 10% M52N 1.44 (±0.00) 94 (±1) 127 (±1) 0.73 (±0.01) 2.01 (±0.20) 1466 (±294) 12% M52N 1.17 (±0.09) 88 (±3) 44 (±6) 0.54 (±0.00) 0.57 (±0.02) 89 (±18) 14 Compressive true stress, σc (MPa) 140 120 Strain softening region 100 Strain hardening region 80 Compressive yield point, σyc 60 Control 7%M22N 40 7%M52N 20 7%M52 0 0 0.1 0.2 0.3 0.4 0.5 0.6 Compressive true strain, εc Figure 6. Plane strain compression plots of true stress versus true strain for control, 7 wt% M22N, 7 wt% M52N, and 7 wt% M52, at 21°C and a constant displacement rate of 0.1 mm/min. 3.6. Fracture Properties The fracture toughness, KIc, and fracture energy, GIc, for the control and MAM modified epoxy samples are summarised in Table 2. The graphs of the GIc versus the concentration of the MAM in the MAM modified epoxy polymers, with the corresponding inclusion size (in terms of radius), are plotted in Figures 7-9. The values of KIc and GIc for the control were measured as 0.60 MPam1/2 and 102 J/m2 respectively. These are in good agreement with the values reported by Johnsen et al [39] and Blackman et al [40] for this epoxy polymer. The addition of MAM gave a significant improvement in the toughness. For the M22N modified epoxy, the values of KIc and GIc increased linearly with the increasing concentration of MAM, see Figure 7. Maximum values of KIc = 1.22 MPam1/2 and GIc = 450 J/m2 were measured for the 12 wt% M22N sample, which are 100% and 350% higher than the control respectively. For the M52N and M52 modified epoxies, the values increased linearly up to a content of 7 wt%, see Figures 8 and 9. For example, adding 7 wt% of MAM, the maximum of KIc = 0.93 MPam1/2 and GIc = 303 J/m2 were measured for the M52N modified samples. The data shown in Table 2 show that the toughness enhancement of all the MAM modified samples is approximately equal, despite the M52N and M52 MAM copolymers may having a higher effective PbuA ratio. The exception was for the partly phase inverted samples, where MAM rich domains and epoxy rich domains were present. When a co-continuous microstructure was formed in the M52N and M52 modified materials, at 10 wt%, there was a large increase in the measured toughness, to KIc = 2.16 MPam1/2 and GIc = 1796 J/m2 for the M52 modified epoxy for example. The experimental scatter in the measured values also increases due to the variability of the microstructure at the crack tip. At the 15 highest content used, of 12 wt%, the toughness dropped dramatically, to KIc = 0.59 MPam1/2 and GIc = 109 J/m2 for the M52 modified material. These values are approximately equal to those for the control. This type of behaviour has been reported in the literature. Pascault and Williams [41] stated that “the presence of this maximum seems to be related to systems in which incipient phase-inverted structures exhibit lack of adhesion between both phases and a consequently low fracture toughness value. In these cases, bicontinuous ... morphologies lead to a better fracture resistance”. Indeed, Yoon et al [42] showed such a maximum toughness for an epoxy polymer modified using poly(ether sulfone) (PES) with poor adhesion, but a monotonic increasing toughness for PES with good adhesion between the phases. McGrail & Street [43] and Zheng et al [44] showed similar effects with other thermoplasticmodified thermoset polymers. 500 6-13nm worm-like micelles 450 6-13nm (width) worm-like micelles 400 350 GIc (J/m2) 6-13nm (width) worm-like micelles 300 250 6-13nm (width) worm-like micelles 200 6-13nm (width) worm-like micelles 6-13nm (width) worm-like micelles 150 100 50 0 0 2 4 6 8 10 12 14 Concentration of M22N (wt%) Figure 7. Fracture energy of M22N modified epoxy polymers versus the concentration of M22N. 16 2000 Co-continuous morphology Particle radius in the epoxy phase 0.06-0.28 µm; particle radius in the MAM phase 0.44-1.23 µm (10 wt%) 1800 1600 GIc (J/m2) 1400 1200 1000 800 600 Particle radius 0.17-0.60 µm (5wt%) Particle radius 0.16-0.40 µm (3wt%) 400 200 Particle radius 0.12-0.63 µm (7wt%) Complete phase inversion Particle radius 1.74-3.73 µm (12wt%) 0 0 2 4 6 8 10 12 14 Concentration of M52N (wt%) Figure 8. Fracture energy of M52N modified epoxy polymers versus the concentration of M52N. 2000 Co-continuous morphology Particle radius in the epoxy phase 0.09-0.47 µm; particle radius in the MAM phase 0.38-0.621 µm (10 wt%) 1800 1600 GIc (J/m2) 1400 1200 1000 800 600 Particle radius 0.05-0.40 µm Particle radius 0.05-0.30µm (3wt%) (2wt%) 400 Particle radius 0.08-0.50µm (5wt%) 200 Particle radius 0.08-0.90 µm, some particles have occlusion like a doughnut (7wt%) Complete phase inversion Particle radius 1.944.38 µm (12wt%) 0 0 2 4 6 8 10 12 14 Concentration of M52 (wt%) Figure 9. Fracture energy of M52 modified epoxy polymers versus the concentration of M52. 3.7. Fractography FEG-SEM micrographs of the fracture surface of the control and MAM modified epoxy samples, taken from the deformation zone ahead of the crack tip, are shown in Figures 10-15. The fracture surface of the control sample was relatively smooth and mirror-like, see Figure 10. The small scale river line marks and step changes of the crack plane on this fracture surface are caused by the excess stored 17 elastic energy that was released by fast crack propagation [45]. This multi-planar nature of the fracture surface is a way of absorbing excess energy in brittle thermosets [24]. These river lines and steps were observed in all the samples examined in this study. 3.7.1. M22N Modified Samples For the M22N modified epoxy samples, although the KIc and GIc values were increased significantly by adding M22N to the epoxy polymer, the fracture surfaces of the M22N modified samples still had a relatively brittle appearance in the low magnification micrographs. This may due to the small size and nanostructuration of the M22N phase, as the toughening mechanisms occur on the nanometre scale. The topographic features of the M22N modified samples could only be seen in high resolution FEGSEM micrographs, see Figure 11. The fracture surface of the 3 wt% M22N samples showed more plastic deformation and a rougher surface, see Figure 11a, compared to the control epoxy. Moreover, many small cavities with a size ranging from 7 to 16 nm in radius were also found well dispersed on the fracture surface of these samples. In Figure 11b, the fracture surface of the 10 wt% M22N samples was considerably rougher than that of the 3 wt% M22N samples, which suggests more plastic deformation occurred. This is consistent with the higher KIc and GIc values of the 10 wt% M22N samples. Cavities were also observed on the fracture surface of the 10 wt% M22N sample, but the size and density of these cavities were almost unchanged compared to the 3 wt% M22N sample. It is worth noting that these cavities were not an artefact of the coating process used prior to FEG-SEM analysis, because they were not observed on other coated non-M22N modified samples and the presence of these cavities was independent of the coating material used. Similar nano-cavities were found in other studies, e.g. [24, 39], where nanometre-sized particles debonded from an epoxy matrix. The cavities observed in the nanostructured epoxy samples with M22N suggest that cavitation may be one of the toughening mechanisms that contribute to the increased toughness of these nanostructured samples. Alternatively, these cavities may be caused by the ligaments of the bicontinuous gyroid structure fracturing below the surface, and then pulling out. A similar pull-out effect is observed using short fibres or carbon nanotubes, e.g. [46]. However, the independence of the size and the density of the cavities on the nanostructured samples also implies that cavitation or pull-out will not be the chief toughening mechanism responsible for the increased toughness of the M22N modified samples. The uneven fracture surfaces of the M22N modified samples corroborate the earlier suggestion that the M22N modified epoxy samples have a bicontinuous gyroid microstructure, see Figure 4. This microstructure explains the relatively unchanged size and density of the cavities irrespective of the concentration of the M22N. The reason is if the M22N modified epoxy samples have the bicontinuous gyroid microstructure, then any cavitations probably only occur in the junction of the PbuA gyroids, where the concentration of the PbuA rubber phase is relatively high. Hence, the size and density of the cavities are relatively independent of the concentration of the M22N, as epoxy samples with higher concentrations of M22N will only increase the whole density of the bicontinuous gyroid rubber phase and have a comparatively smaller effect on the junction PbuA size. Identifying the toughening mechanisms in such a bicontinuous (or co-continuous) structure is difficult. However, the size and number of cavities is insufficient to provide such a large increase in the 18 measured toughness. Previous work using thermoplastic modification of thermoset polymers has reported that in a co-continuous structure, deformation of the two phases occurs as the crack must pass through both phases during fracture. The phases will experience relatively low constraint due to the structure and the relative softness of the MAM phase. Thus they will be able to deform, absorbing energy and hence increasing the toughness of the material. 3.7.2. M52N and M52 Modified Samples The fracture surfaces of the microphase separated M52N and M52 modified samples are similar to those of the traditional non-reactive thermoplastic modified epoxy polymers reported in the literature, e.g. [42-44, 47-49]. Figures 12 and 13 show that the fracture surfaces of the 5 wt% M52N and 5 wt% M52 samples are similar. The surfaces are very rough and multi-planar, with evenly dispersed micronsize cavities. These cavities show that cavitation of the MAM particles has occurred. The size of the cavities was found to increase with the increasing concentration of M52N and M52. Comparing the mean radius of the cavities with that of the particles observed using AFM shows that the MAM cavities are larger than the original particle size. These findings show that plastic void growth followed the cavitation process. Hence, based on the FEG-SEM observation, cavitation and subsequent void growth may be the toughening mechanisms responsible for the enhancement in fracture toughness for M52N and M52 modified epoxy samples up to and including the 7 wt% formulations. At 7 wt% of M52 or M52N, occluded particles were observed using AFM, see Figure 3e. These particles show a doughnut-like structure, with an epoxy inclusion within the MAM phase. These occluded particles also showed cavitation and void growth, as shown in Figure 14 where two cavitated occluded particles are visible. In this Figure, the lump within each particle is the epoxy inclusion. This confirms that there is good adhesion between the epoxy and the MAM phases, and that the formation of such occluded particles does not prevent cavitation. In addition, from the high magnification insets of Figure 12 and 13, the inside surface of the dilated cavities of the M52N and M52 shows that the dispersed MAM particles appear to have a bicontinuous gyroid microstructure, which further corroborates the results of the AFM studies, i.e. the wormlike micelle dispersed morphology is equivalent to a bicontinuous gyroid microstructure in 3D. Phase inversion was observed for the epoxy samples with >7 wt% of M52N and M52. Figure 15 shows the fracture surface of the partly phase inverted 10wt% M52N, on which both the MAM rich domain and epoxy rich domains can be clearly seen. The microstructure is co-continuous on a macro-scale. From the higher magnification inset of Figure 15, it can be seen that brittle epoxy particles were evenly dispersed in the MAM rich domain, while well dispersed MAM particles were observed in the epoxy rich domain. When complete phase inversion occurs, the crack will propagate through the relatively low strength MAM matrix, and hence a low toughness is measured. Here the fracture surfaces show the features typical of a phase-inverted structure, of deformation of the soft matrix phase with no effect on the harder epoxy particles. 19 Crack direction Crack direction 100 µm Figure 10. FEG-SEM micrograph of fractured SENB specimen of the control, taken near the pre-crack arrest plastic deformation zone. Crack direction 200 nm (a) Crack direction 200 nm (b) Figure 11. FEG-SEM micrograph of fractured SENB specimen of (a) 3 wt% M22N, and (b) 10 wt% M22N taken near the pre-crack arrest plastic deformation zone. White arrows point to some cavities. 20 200 nm Crack direction Crack direction 1 µm Figure 12. FEG-SEM micrograph of fractured SENB specimen of 5 wt% M52N, taken near the pre-crack arrest plastic deformation zone. 200 nm Crack direction 1 µm Figure 13. FEG-SEM micrograph of fractured SENB specimen of 5 wt% M52, taken near the pre-crack arrest plastic deformation zone. 21 Crack direction 1 µm Figure 14. FEG-SEM micrograph of fractured SENB specimen of 7 wt% M52N, taken near the pre-crack arrest plastic deformation zone. 1 µm Crack direction 100 µm Figure 15. FEG-SEM micrograph of fractured SENB specimen of 10 wt% M52N, in which both the MAM rich domain and epoxy rich domain are shown. 3.8. Sub-surface Analysis of the DN-4PB Specimens Based on a knowledge of linear elastic fracture mechanics (LEFM), the fracture toughness of a material is closely related to the corresponding plastic deformation zone in the immediate vicinity of the crack tip of the material. Hence, it is important to study the plastic deformation zone ahead of the crack tip. In this study, the investigation of the plastic deformation zone of the MAM modified epoxy samples was conducted by examining the sub-critically loaded DN-4PB specimens using transmission optical microscopy (TOM). The TOM images for a set of formulations of DN-4PB samples are shown in Figure 16. It can be seen in Figure 16(a-b) that only a very small plastic deformation zone was observed for the control sample using both transmitted and cross-polarised light. The small plastic deformation zone for the control is consistent with the low measured toughness of the control samples. 22 For the 7 wt% M22N samples, a large feather-like damage zone was observed in front of the crack tip using transmitted light, see Figure 16c. This feather-like damage zone has been reported previously from other block copolymer modified epoxy polymers in the literature [6, 7]. It can be ascribed to the presence of crack-branching and dilation bands. Shear band yielding was also observed in the featherlike damage zone under cross-polarised light, shown in Figure 16d. This observation shows that shear banding must have occurred during fracture and contributed to the improvement in fracture toughness. This agrees with the results of the plane strain compression tests, where strain softening was observed after yield, which indicates that shear band yielding would be expected. Hence, crack-branching and shear band yielding may be the toughening mechanisms which contribute to the toughness improvement of the M22N modified epoxy polymers. For the 7 wt% M52N samples and the 7 wt% M52 samples, large circular damage zones were observed using transmitted light, see Figures 16e and 16g. The size of both damage zones was similar, which agrees well with the similar measured values of fracture toughness for these samples. These dark circular damage zones suggest that cavitation must have occurred in front of the crack tip to dissipate the excess strain energy [50]. Further, little or no birefringence was observed in front of the crack tip under cross-polarised light for both samples, see Figures 16f and 16h. This is consistent with the disappearance of strain softening observed from the plane strain compression tests shown in the previous section for the 7 wt% M52N and 7 wt% M52 samples. These findings confirm that cavitation must be one of the toughening mechanisms responsible for the toughness improvement in these microphase separated MAM modified epoxy polymers. 23 (a) 5 µm (b) 0 5 µm (c) 5 µm (d) 5 µm (e) 5 µm (f) 5 µm (g) 5 µm (h) 5 µm Figure 16. TOM images of the sub-critically loaded crack tip in the plane strain region of the DN-4PB specimens, (a-b) control under transmitted light and cross polarised light respectively, (c-d) 7 wt% M22N under transmitted light and cross polarised light respectively, (e-f) 7 wt% M52N under transmitted light and cross polarised light respectively, (g-h) 7 wt% M52 under transmitted light and cross polarised light respectively. 24 3.9. Discussion 3.9.1. M22N Modified Epoxy Polymers Based on the results from the present study, considerable knowledge about the microstructure, the mechanical properties, and the toughening mechanisms of M22N modified epoxy polymers was gained. From the results of the AFM and the FEG-SEM analysis, the microstructure of the M22N modified epoxy polymers may be attributed to a three dimensional bicontinuous gyroid microstructure with a nanostructured PbuA-PMMA (core/shell) network, see Figure 4. The glass transition temperature and the mechanical properties of the epoxy polymer (Tg, E, Ec, σt, and σyc) were found only slightly reduced compared to the control, which is consistent with other studies on block copolymer modified epoxies [5-7, 10, 13]. Here it is suggested that the preservation of the Tg, E, Ec, σt, and σyc of the M22N modified nanostructured epoxy polymers could be that the plasticisation effect of the PMMA blocks of the M22N was weakened by the highly localised phase separation because of the steric confinement from the covalent bond between the PMMA block and the PbuA block, and that the nanostructure distributed the local PMMA plasticisation effect down to the nanoscale to further minimise the effect of the phase separated PMMA. The principal toughening mechanism responsible for the toughness improvement of the nanostructured M22N modified epoxy polymers appears to be shear band yielding, and the increased matrix ductility caused by the plasticisation effect of the addition of M22N. Although the addition of MAM suppresses the strain softening after yield, and hence the macroscopic inhomogeneous yielding and strain localisation in the epoxy polymer, there is still significant strain softening observed in the PSC tests. TOM of the DN-4PB specimens using cross-polarised light showed a birefringent zone, indicating that shear band yielding occurs. Other mechanisms caused the cavities seen on the fracture surfaces and the crack branching at the crack tip. These mechanisms may involve local plastic deformation and cavitation of the PbuA rich network junctions, or pull-out of fracture ligaments of the bicontinuous gyroid network, plus causing the principal crack to divide into many secondary cracks. However, the contribution of these mechanisms to the overall toughening effect will be small. 3.9.2. M52N and M52 Modified Epoxy Polymers The microstructure, the mechanical properties, and the toughening mechanisms of the M52N and the M52 modified epoxy polymers were also investigated. These MAM block copolymers were found to phase separate in the epoxy matrix. Evenly dispersed micron-sized spherical particles, which have an ordered nanostructure, were observed in the epoxy matrix from the AFM images, see Figure 3(e-f). This microstructure is similar to the traditional thermoplastic modified structure reported in the literature, as mentioned above. From the DMA results, the Tg of the M52N and M52 modified epoxy polymer was found to be almost unchanged after the addition of M52N and M52. This suggests that the relatively immiscible M52N and M52 fully phase separate during the polymerisation process of the epoxy polymer. The values of E, Ec, σt, and σyc for the M52N and the M52 modified epoxy polymers from the uniaxial tensile and the plane strain compression tests showed that the addition of the relatively soft MAM reduced these mechanical properties. However, large decreases in the fracture 25 stress and strain to failure were only seen when a phase-inverted microstructure was formed using 12 wt% of M52 or M52N. The addition of the M52N or the M52 was found to suppress strain softening, and hence inhomogeneous yielding and strain localisation, in the plane strain compression results, see Figure 6. This finding was confirmed the results of the plastic deformation zone examination using OM under cross-polarised light after the DN-4PB tests, where no shear band yielding was observed. Hence, shear band yielding is not a toughening mechanism for these materials. However, well dispersed MAM cavities were observed on the fracture surfaces of the M52N and the M52 modified epoxy polymers. Based on the subcritical plastic deformation zone study and the FEG-SEM study, the major toughening mechanisms in these MAM modified epoxy polymers were attributed to cavitation of the MAM particles and subsequent plastic void growth for epoxy samples containing up to 7 wt% of M52N or M52. This void growth absorbs energy, hence increasing the toughness. Indeed, the toughening increment due to this mechanism can be predicted using the work of Kinloch and co-workers [24, 39, 46]. This analysis shows that this mechanism can indeed give such a toughening effect. At higher concentrations of M52N or M52, at 10 wt% and above, phase inversion occurs to give a cocontinuous or fully phase-inverted microstructure. This results in a sharp increase and subsequent decrease in the measured toughness. Previous work using thermoplastic modification of thermoset polymers has shown a similar effect of a maximum toughness when a co-continuous structure is formed, as discussed above. However, there has been less discussion of the toughening mechanisms for such a microstructure, as these are not readily observed. Based on the results of the current study, the significant toughness enhancement provided by the co-continuous morphology comes from the interconnected epoxy rich and MAM rich domains which form a hard and soft composite-like structure. When the crack propagates through this structure, see Figure 17, the brittle epoxy phase fractures. However, the MAM phase was observed to span across the fracture surfaces. The MAM can be expected to possess a low yield stress and relatively high ductility. Hence as the crack opens, the MAM will deform and absorb energy, thus increasing the measured toughness, before the bridging ligaments fracture. Note that the epoxy matrix regions in the co-continuous structure also contain MAM particles which will undergo cavitation and void growth, and these processes will also contribute to the toughening effect. In addition, due to the interconnected structure of the two domains and the low yield stress of the MAM, the plastic deformation zone at the crack tip may be greatly increased in size, with a consequent increase in toughness. When complete phase-inversion occurs, the low strength of the MAM leads to premature failure and a low measured toughness. As the toughness is so much less when the structure is completely phaseinverted, the presence of the epoxy domains in the co-continuous structure must stabilise the material. Although there is poor adhesion between the two domains, as discussed above, the interpenetrating nature of the microstructure prevents the premature failure seen when phase-inverted. 26 100 µm V notch Epoxy rich domain Interconnected epoxy and MAM domain Epoxy rich domain Crack tip in MAM domain Crack propagation in the MAM domain was constrained Figure 17. TOM image of the pre-cracked DN-4PB sample modified with 10 wt% M52N under transmitted light. 4. Conclusions The microstructure, the mechanical properties, and the toughening mechanisms for an anhydride cured DGEBA epoxy modified with three different types of MAM block copolymers were investigated. The addition of M22N to the epoxy polymer was found to form a three dimensional bicontinuous gyroid nanostructure at all contents used. The addition of ≤ 7 wt% of M52N or M52 gave dispersed micronsized spherical MAM particles in the epoxy matrix, but phase inversion begins with ≥ 7 wt% of these block copolymers. The Tg, elastic modulus, and yield strength decreased slightly when MAM was added, due to the relative softness of the MAM. A significant increase in the fracture toughness, KIc, and fracture energy, GIc, was measured due to the addition of M22, and maximum values of KIc = 1.22 MPam1/2 and GIc =450 J/m2 were measured for the 12 wt% M22N sample, which are 100% and 350% higher respectively than the control. For the nanostructured M22N modified epoxy polymers, the principal toughening mechanism was identified to be shear band yielding. For the microphase separated M52N and M52 modified epoxy polymers with ≤ 7 wt% of BCP, the toughness enhancement were ascribed to cavitation of the particles and subsequent void growth. When 10 wt% of M52N or M52 was added, a co-continuous morphology was formed, and the principal toughening mechanism may be the bridging of the extensive interconnected MAM domains. Beyond the addition of 10 wt% of M52N or M52, phase inversion was observed, and the toughness was reduced to less than that of the control epoxy. Acknowledgements The authors would like to thank S. Sprenger (Nanoresins) and T. Fine (Arkema) for supplying materials. Some of the equipment used in this work was provided by Dr. Taylor’s Royal Society Mercer Junior Award for Innovation. References 1. Bagheri R, Marouf B, and Pearson R. 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