4.1. Epoxy vitrimer structure and its effect on the dynamic properties
In the associative bond exchange reaction, the overall crosslink density remains constant; the crosslinks are broken only when new ones are created without resulting in a loss of crosslinks at the previous position [
36]. The copolymerization between epoxy and anhydride in the presence of 960-1 is the main reaction during the curing process of the base system. The anhydride rings (TMPHA) are opened by the hydroxyl present within the accelerator to form carboxylic groups, which react with the epoxy groups forming an ester and a new hydroxyl which contribute to the formation of further esters leading to a polymer chain including polyester. Here the copolymerization of epoxy and anhydride forming ester bonds is dominant, and the effects of secondary reactions should not be considered. A crosslinked network structure containing a large number of ester bonds was formed by the curing reaction of anhydride and epoxy groups [
29,
37,
38].
Infrared Spectroscopy (FT-IR) (Frontier MIR/NIR Perkin-Elmer spectrometer) was adopted to investigate the presence of the typical ester peaks. Spectra were acquired on both sides of the samples. A spectral window range, corresponding to the remarkable peaks of epoxy resin [
39], from 650 cm
-1 to 4000 cm
-1 was adopted.
Figure 11 shows the FT-IR spectra of the standard and vitrimeric epoxy resins.
The spectra exhibit a peak at ≈3500 cm
-1 due to the presence of the free hydroxyl group, which relies on the reaction between carboxylic acid and epoxy ring promoting the esterification. The availability of – OH groups facilitates transesterification in the case of the AV5 system where metal catalysts (Zn
2+) have been provided within the network. Furthermore, the spectra exhibit also strong absorption peaks in the 1650 – 1800 cm
-1 and 1000-1250 regions, corresponding to the ester groups containing one C=O bond and two C−O bonds. These results indicate that the DGEBA epoxy group opened to crosslink with the curing agent (acid anhydrides, MHTPA) and formed an ester-bond-based crosslinked network, which is the base for the transesterification exchange reaction. The peak at 1732 cm
-1 represents the carbonyl stretch, and for saturated esters in general these peaks fall from 1755 to 1735 [
40]. The second peak labelled at 1235 cm
-1 is from the stretching of the C−O bond to the left of the ester oxygen, which is attached to the carbonyl carbon, and involves the stretching of the alpha carbon-carbonyl carbon C-C bond. The third peak, at 1100 depends on the second C−O bond in the ester, which is the one on the right of the bond. For statured esters in general the O−C−C stretch is present from 1100–1030 cm
-1.
The presence of an ester group makes the crosslinked network a little more flexible, therefore the fracture toughness of the epoxy system is enhanced with respect to a conventional amine-cured epoxy while the polyesters induce a plasticizing effect. In fact, based on the results of the SENB tests, reported in
Table 4, the K
IC was 2.24 MPa √m for the bare epoxy/anhydride resin which is very high compared to amine-cured epoxies [
41].
Preparation of cross-linked systems featuring semi-flexible molecular structures facilitates topological interchange reactions. The reactivity of interchange linkages and thermomechanical properties could be balanced by modifying the amount of catalyst in the formulation [
27]. The transesterification reaction is activated by the presence of Zn
2+ ions at temperatures beyond the vitrimeric temperature (T
v), leading to a topological rearrangement. The ester bond exchange can then be activated at high temperatures (above a topology freezing temperature, T
v) when a transesterification catalyst (Zn
2+, in the current case) is administered into the crosslinked network (
Figure 12).
The presence of Zn(Ac)2 catalyst affects the thermal behaviour of epoxy vitrimers, by the DSC thermograms of the uncured samples have shown a reduction of the glass transition temperature of the vitrimeric resins compared to the standard epoxy system. Additionally, the reaction enthalpy increases when the Zinc acetate content is added to the system.
The glass transition temperature obtained from DMA analyses is higher than those from DSC, primarily due to the delayed response during temperature scanning in the DMA test caused by the larger sample size [
42].
The tanδ of vitrimeric systems @170°C is significantly higher than corresponding conventional formulations. It increases with the increasing temperature resembling the typical behaviour of thermoplastic polymers [
43].
By observing the strain rate (dε/dt), defined as the slope of the strain versus time in the last 5 min of the creep test, the modified systems (AV5 and CF-AV5) clearly show a strong increase in the strain rate with respect to the conventional system which should not flow (
Figure 6). Therefore, the addition of the catalyst induces a molecular flow, indeed the strain rate increases as the temperature increases due to the mobility of polymeric chains promoted by the transesterification reactions.
To assess the vitrimer-like nature of epoxy and investigate the flow at high temperatures, creep tests have been performed and analysed using a theoretical model. Several theoretical models are available to analyse the experimental creep curves. In this study, the Burger model has been implemented, which combines the Maxwell and Kelvin-Voigt elements [
44]. According to Burger’s model, the total strain in the creep is the result of instantaneous deformation and deformation at primary and secondary stages (
Figure 13).
The amount of total strain is given by Equation (4):
where
is the total strain obtained during the creep test at a particular time t,
is the instantaneous deformation,
is the delay elastic deformation of the Kelvin-Voigt element. The Equation (4) can be rewritten as:
where
𝜎0 is the applied stress,
E1 represents the modulus of longitudinal elasticity at the initial deformation which can be recovered once the stress is removed (Maxwell spring); the constant 𝜂
1 is the coefficient of dynamic viscosity, and identifies the constant rate of stationary creep;
E2 is the stiffness of the amorphous chain/retardant elasticity and is represented by the spring in the Kelvin–Voigt unit, 𝜂
2 is the viscosity of the Kelvin–Voigt unit and the ratio between 𝜂
2/E
2 is the retardation time (𝜏). To determine the values of the parameters (E
1, E
2, 𝜂
1 and 𝜂
2), curve fitting of the experimental creep curves with Burger’s model was performed.
Figure 14 and
Figure 15 report the fitting parameters for the creep curves in the case of A-system, its vitrimeric modification and the carbon fibre reinforced samples at different temperatures (70°C, 120°C,170°C, 195°C), the temperature was chosen according to the different regimes: glassy (below T
g), viscoelastic solid (above T
g, below T
v) and liquid viscoelastic (above T
v).
The elastic modulus E
1 (
Figure 14a) decreases with increasing temperature due to the molecular rearrangement. Unlike standard epoxy system (A), the vitrimeric systems (AV5 and CF-AV5), above T
v, exhibit a further reduction of the elastic modulus resembling the thermoplastic-like behaviour. The carbon fibre reinforcement only affects the values of the elastic modulus without modifying the viscoelastic behaviour.
Starting from 170°C the vitrimeric epoxy becomes less stiff, the polymer starts to flow resulting in a progressive decrease of the elastic modulus.
𝜂
1 represents the irrecoverable part of the creep deformation, and it indicates the residual strain left in the material. Like E
1, this parameter decreases with the temperature until the T
g, due to the greater mobility of the molecular chains (
Figure 14b). In the case of A systems, it remains constant with increasing temperature due to the thermosetting nature of the material. In the case of vitrimeric systems AV5 and its composite (CF-AV5), η
1 decreases with the temperature, while the standard epoxy achieves a constant value, due to the absence of flow. The presence of the Zinc catalyst enables flow (low 𝜂
1 parameter) and increases at a higher temperature, above T
v the raise of exchange reaction (transesterification) induces further molecular flow. The presence of carbon fibre reinforcement inhibits the flow, as shown in
Figure 14b. As observed, the CF-AV5 system shows a higher 𝜂
1 value, which reproduces a system able to recover the applied strain. Even increasing the temperature leads to a system being unable to gain irreversible deformation. Only above the T
v a slight decrease in flow parameter has been observed.
The parameters E
2 (
Figure 15a) and the 𝜂
2 (Figure 15b) represent the retardancy elasticity and viscosity respectively and are associated with the stiffness and viscous flow of amorphous polymer chains. A similar dependency of the retardancy elasticity and viscosity on the temperature has been observed for both the neat vitrimer and the reinforced one. Below glass transition (T<T
g) both parameters decrease due to the greater energy absorbed by the active polymer chains, and the viscous slippage of the molecules becomes easier to achieve. In the temperature range between glass transition and vitrimeric temperatures (T
g < T < T
v) the E
2 and 𝜂
2 increase with the temperature due to the more significant orientation of polymer chains along the creep loading direction which results in an orientational hardening. Above vitrimeric temperature (T>T
v) a further reduction of retardancy parameters is observed only in the case of vitrimeric systems (AV5 and CF-AV5) due to the molecular flow induced by the transesterification reaction [
45].