1. Introduction
Recently, carbon and glass fibre-reinforced materials have been used in several engineering fields, including aerospace, automotive, marine and civil engineering applications. A particular area of the application of composites is the wind turbine blades owing to their high strength and stiffness-to-weight ratios as well as their excellent corrosion resistance and lower density compared to traditional materials as noted in several studies [
1,
2,
3,
4]. Carbon fibre has a lower density as well as stronger and stiffer mechanical properties as compared to glass fibre. As such carbon fiber-reinforced composites are used extensively in racing cars, aerospace applications, and wind turbine blades as structural components to optimize their energy efficiency [
5]. Despite their advantages, lower strain at failure, lower damping properties, and the higher cost of carbon fibres make their use in these applications challenging [
6]. Reducing the cost and obtaining optimum mechanical properties of composite structures are critical considerations in the composite industry. One approach to achieving tailored material properties is a hybridization of carbon and glass fibres which has the potential to reduce the cost and improve the mechanical performance of the composite structures as noted in [
7,
8,
9]. Nonetheless, there are concerns about the durability of composite structures exposed to harsh environmental conditions during their operational lifetime as discussed in [
10,
11,
12]. As such it becomes important to determine the thermo-mechanical performance of fiber-reinforced polymer (FRP) materials under different environmental conditions before using them in various applications.
Several studies investigated the mechanical performance of FRP materials subject to different environmental conditions. For example, the mechanical performance of FRP materials exposed to high temperatures was examined by Bazli and Abolfazli [
13] which involved near and above the resin glass transition temperatures. Low levels of degradation were observed below the glass transition temperature
of the epoxy matrix. High values of
have a detrimental effect on the mechanical performance of FRP composites. The polymer matrix softens and weakens the bonding at the fibre/matrix interface when the temperature exceeds
, resulting in the rapid reduction of strength as noted in [
14,
15]. Cao et al. [
16] conducted an experimental study on the tensile properties of pure carbon/epoxy and hybrid carbon fibre combined with glass and basalt fibre sheets at elevated temperatures. The tensile performance of the pure and hybrid sheets was significantly reduced as the temperature increased. Additionally, the tensile, compressive, flexural moduli and energy absorption properties of carbon fibre-reinforced polymer (CFRP) materials under low and high temperatures were investigated in several studies as noted in [
17,
18,
19,
20,
21,
22,
23]. The compressive and tensile strengths of CFRP laminates severely deteriorated at high temperatures. Whereas, the flexural and energy absorption properties of CFRP laminates improved at lower temperatures. Similarly, Hawileh et al. [
24] studied the tensile and stiffness properties of carbon laminates, glass laminates, and the hybrids of the two fibres exposed to ambient and elevated temperatures. Severe reductions in the mechanical performance of the laminates were observed in the case of single material laminates rather than the hybrid laminates.
Long-term effects of moisture on the mechanical performance of CFRP laminates, glass fibre-reinforced polymer (GFRP), and their hybrids have been investigated in [
25,
26,
27]. The results confirmed that the performance of the laminates was not significantly affected at low temperatures. This might be due to the presence of closely packed epoxy chain segments and the transition of the polymer material into beta and delta relaxation phases in the glassy state as investigated in [
28,
29].
Spagnuolo et al. [
30] studied the tensile properties of GFRP bars under elevated temperatures to replace ordinary steel reinforcements. It is an effective and economical solution to corrosion problems and durability. Additionally, Mathiev and Brahim [
31] conducted an experimental study on the flexural, shear, and tensile strength properties of GFRP bars exposed to lower and elevated temperatures. The experimental results confirmed that the flexural, shear, and tensile strengths of GFRP bars increased when the temperature decreased. A change in the mechanical performance was observed when a high level of moisture absorption causes the volume expansion of GFRP bars which aggravates the initiation of microcracks when it freezes [
32]. Moreover, the moisture absorption properties of GFRP laminates and their effect on mechanical performance were examined after being immersed in distilled water at ambient and 90°C temperatures [
33]. It was observed that the degree of damage strongly depends on the applied temperature. In particular, the moisture uptake of the laminates impairs the fiber/matrix interface which contributes to lowering the mechanical performance in the matrix-dominated direction.
Most composite structures based on FRP composites are used under various environmental conditions. Their mechanical performance needs to be studied further under different environmental conditions and also to improve their working lifetime. In particular, determining the viscoelastic properties of FRP composites such as the glass transition temperature, damping factors, storage modulus, and loss modulus is important for composites exposed to different environmental conditions as noted in [
34]. Carbon and glass fibres are the most often used reinforcements for FRP materials. Thermo-mechanical properties of CFRP, GFRP, and hybrid composite laminates have been studied using the dynamic mechanical analysis (DMA) tool after being exposed to moisture for extended periods and to elevated temperatures in the studies [
35,
36,
37,
38]. The performance of all groups of laminates showed an increase in stiffness properties, and different relaxation phases were observed in the glassy region for those that have extended humid ageing. However, as the temperature increased, the storage modulus of the composite laminates decreased as expected. This may have occurred due to the mobility of the epoxy matrix networks.
Researchers have been developing theoretical models to predict the thermo-mechanical properties of FRP composites as a function of temperature. The cost of production and the time spent testing the samples can be reduced by utilizing theoretical models rather than using the DMA tool as noted in [
39,
40,
41,
42,
43,
44]. In particular, Gibson et al. [
45] proposed an empirical model to determine the temperature-dependent properties of FRP composites involving the compressive and tensile strengths and the storage modulus. The values of the parameters were studied at the glass transition regions of the polymer materials. The proposed empirical model shows a close correlation with the experimental results obtained for the storage modulus properties of the glass/polyester laminates. Recently, Bai et al. [
46] used the Arrhenius law to model the temperature-dependent storage modulus and the viscosity properties of pultruded glass fibre-reinforced polyester laminates under elevated and high temperatures. Moreover, Feng and Guo [
47] developed a theoretical model for temperature-frequency-dependent dynamic mechanical properties of epoxy resin and glass/epoxy composites considering the degree of conversion in the glass transition and the decomposition regions. The Arrhenius law has been the best method to determine the mechanical performance of FRP composite material as a function of different temperatures and frequencies.
In the present study, the impact of humid ageing and temperatures on the thermomechanical properties of hybrid glass/carbon/glass (GCG) composite laminates was evaluated experimentally in order to apply the results to the construction of the spar cap section of wind turbine blades. The tensile and compressive properties of the laminates under lower and higher environmental conditions were characterized. Additionally, the stiffness parameters, such as storage modulus, loss modulus, damping properties, and the glass transition temperatures of all groups of hybrid laminates were determined using the DMA tool. Finally, the accuracy of the storage modulus results in relation to the empirical models was assessed at different test temperatures and frequencies. A better candidate for an empirical model that fitted with the experimental results was obtained, and its accuracy was investigated.
2. Experimental Program
A series of hybrid composite laminates were tested in tension, compression, and bending under different environmental conditions. Before testing, the laminates were kept at low and high temperatures, and their mechanical performance was characterized. Particularly, the tensile and compressive properties of GCG groups of hybrid laminates were determined by using a tensile testing machine. Moreover, the storage moduli, loss moduli, damping factors, and glass transition temperatures of the laminates as a function of temperatures and frequencies were determined using the DMA tool.
2.1. Materials
Unidirectional E-glass fibre, unidirectional T-300 carbon fibre, prime 27 LV epoxy resin, and prime 27 LV hardener were used to prepare the GCG group of hybrid composite laminates. The epoxy matrix for all groups of the hybrid specimens was prepared with a weight mixing ratio of 10:2.6. The mechanical and physical properties of the fibres and epoxy resin are shown in
Table 1.
Hybrid Composite Laminates and Preparation Procedures
The GCG composite laminates were produced using resin transfer molding (RTM) methods, based on ASTM standards given in [
49,
50,
51]. Compressive, tensile, and bending tests were performed on the hybrid laminates. A total of four layers of fibres were used to construct the hybrid laminates for the tensile and compressive testing processes. Two layers of carbon fibers were used in the middle layers of the hybrid laminates along with a common epoxy resin. In the case of DMA tests, a total of ten layers of fibres were used. Among the ten layers, four layers of carbon fiber were used in the middle of the hybrid laminates with a common epoxy resin as a binder. All specimens were cured at room temperature for 24 hours before being post-cured at 65°C in the oven for 16 hours. The specimens were cut to the desired dimension using a computer numerical control (CNC) machine with a tolerance of 0.02 mm, then cleaned, and the flash was removed using sandpaper. Five samples were considered for each group of hybrid laminates during the testing process.
The volume fractions of the specimens were determined as 55% using burn-off test methods based on ASTM standards [
52]. The hybrid composite laminate preparation process, fibre orientation, and the test methods used in this study are shown in
Figure 1.
2.2. Test Methods
The compressive and tensile properties of the GCG composite laminates were assessed using a Lloyd LR testing machine by measuring at a rate of 2 mm/min. Before testing, the GCG groups of composite laminates were preserved in a deep freezer at temperatures of -80°C, -20°C, and 0°C for 60 days. Additional specimens were preserved at room temperature, and tests were carried out at lower and higher test temperatures. A heat-con thermocouple was used to measure and control the existing temperatures on each hybrid laminate during the testing process. An Epsilon digital extensometer of 25 mm gauge length was used to determine the strain of hybrid laminates at different testing temperatures.
The dynamic mechanical properties of the GCG composite laminates were measured using a DMA Q 800 TA tool. The hybrid specimens were preserved in a deep freezer at a temperature of -80°C, -20°C, and 0°C for 60 days. Additionally, the controlled GCG specimen was maintained at 25°C before testing. Experimental work was conducted on hybrid specimens under the three-point bending modes using the dynamics oscillation frequency of 1 Hz, 10 Hz and 100 Hz. An amplitude of 15 μm was applied. The heating rate was increased at 2°C/min. Liquid nitrogen was used as the cooling agent. The test temperatures were set for all groups of hybrid laminates ranging from -80°C to 140°C, -20°C to 140°C, 0°C to 140°C, and 20°C to 160°C. The dimensions of the hybrid laminates were set at a height of 4.60 mm, a width of 13 mm and a length of 64 mm to determine the storage modulus (E’), loss modulus (E’’), damping factor and glass transition temperature .
4. Models of Temperature-Dependent Storage Modulus
FRP composite materials have gained widespread use in the aerospace, automotive, marine, and wind turbine blade manufacturing industries by providing lightweight, durable, and corrosion-resistant solutions for various structural components. At elevated temperatures, FRP materials have reduced mechanical properties due to the softening of the polymer matrix and degradation of the reinforcing fibers. Conversely, at low temperatures, FRP composites may become more strong, brittle, and prone to fracture. These temperature-dependent mechanical properties of FRP materials can be determined using experimental methods. It is a costly and time-consuming process to find the appropriate material to be used under different environmental conditions. A number of researchers developed analytical analyses methods to predict the mechanical properties of FRP composites as a function of temperature. For example, an empirical model was developed by Gibson et al. [
45] to find the storage modulus of FRP materials as a function of temperature. The parameters under the glass transition regions were used to estimate the empirical model and were described by:
where
is the value of storage modulus at a specified temperature
T,
is the value of the storage modulus at room temperature,
is the value of storage modulus at the rubbery state, and
are variables determined by fitting data using a regression analysis. The value of
is recommended when the storage modulus of the material falls rapidly.
Most polymeric materials have four states, such as glassy (g), leathery (l), rubbery (r), and decomposition (d) states, and three transitions: glass transition, leathery to rubbery transition, and rubbery to decomposition transition. Preserving composite materials at lower temperatures for extended periods has an impact on obtaining the gamma (
) and the beta (
) transitions in the glassy state [
47]. In this case, beta (
) transition is observed in the -20°C/GCG and -80°C/GCG hybrid laminates.
Let us consider the unit volume of the initial hybrid composite laminates at specific temperatures. The volume of the laminates at different states can be determined as follows:
where V is the volume of the laminates in different states.
Assuming that
,
are the storage moduli in the specified states, the values of the storage modulus at a different state
is determined by:
Considering that the storage moduli of the laminates at the leathery and rubbery states is nearly the same and neglecting the
transitions, Eq. (9) can be reduced to:
Comparison of the Storage Modulus Results with Analytical Models
The experimental results obtained on GCG hybrid composite laminates as a function of temperature and frequency are compared with the empirical models specified in Eqs. (3) and (10). Close correlations with minimum errors were observed.
Figure 7 shows the storage modulus of the control GCG composite laminate compared with the empirical models specified in Eqs. (3) and (10). The minimum errors observed using Eq. (3) are 0.50% and 0.43% at frequencies of 1 Hz and 100 Hz, respectively. Meanwhile, the errors are reduced below 0.02% in the case of Eq. (10). Moreover, the empirical models are further compared with the storage modulus of the hybrid laminates preserved at different temperatures for extended periods.
Figure 8 shows the comparison between the storage modulus of 0°C/GCG laminates with the specified empirical models at frequencies of 1 Hz and 100 Hz. The minimum errors obtained using Eq. (3) are 0.39% and 0.60% at frequencies of 1 Hz and 100 Hz, respectively. However, the errors are reduced below 0.02% in the case of Eq. (10). In all cases, both empirical models have a very close correlation with the storage modulus.
Furthermore, a comparison is made between the storage modulus of -20°C/GCG laminates and the empirical models as shown in
Figure 9. The minimum errors obtained using Eq. (3) are 0.39% and 0.37% at frequencies of 1 Hz and 100 Hz, respectively. However, close correlations are observed and the minimum errors are reduced below 0.03% with the empirical model specified in Eq. (10). The curves generated using the theoretical modulus exhibit a proper fit with the storage modulus results.
Figure 10 shows the comparison between the storage modulus of the -80°C/GCG composite laminates and the specified empirical models. The empirical model proposed by Gibson et al. [
45] exhibits significant deviations from the storage modulus curves with the minimum errors approaching 5%. Notably, it lacks close correlations with the experimental data at a lower preservation temperature for extended periods. The theoretical model, with the formulation based on the principles of Arrhenius’s law, exhibits properly fitted curves that closely align with the storage modulus results. Arrhenius’s law is often employed to describe the temperature dependence of various material properties, in particular, in the context of kinetics. In general, the utilization of Arrhenius’s law in developing the theoretical model enhances our understanding of the temperature-dependent properties of the FRP composite materials and reinforces the predictive power of the model in capturing its mechanical behavior across different temperatures and frequencies.
Figure 1.
A flow chart for the construction and testing methods of GCG hybrid specimens.
Figure 1.
A flow chart for the construction and testing methods of GCG hybrid specimens.
Figure 2.
Mechanical properties and failure load of hybrid laminates at various temperatures, (a) compressive properties; and (b) tensile properties.
Figure 2.
Mechanical properties and failure load of hybrid laminates at various temperatures, (a) compressive properties; and (b) tensile properties.
Figure 3.
Storage modulus properties of control GCG (a), 0°C/GCG (b), -20°C/GCG (c), and -80°C/GCG (d) laminates at various temperatures and frequencies.
Figure 3.
Storage modulus properties of control GCG (a), 0°C/GCG (b), -20°C/GCG (c), and -80°C/GCG (d) laminates at various temperatures and frequencies.
Figure 4.
Conversion degree of glass transition () for modeling the storage modulus of control GCG (a), -0°C /GCG, -20°C /GCG, and -80°C /GCG hybrid laminates.
Figure 4.
Conversion degree of glass transition () for modeling the storage modulus of control GCG (a), -0°C /GCG, -20°C /GCG, and -80°C /GCG hybrid laminates.
Figure 5.
Loss modulus and damping properties of control GCG (a), 0°C/GCG (b), -20°C/GCG (c), and -80°C/GCG (d) laminates at various temperatures and frequencies.
Figure 5.
Loss modulus and damping properties of control GCG (a), 0°C/GCG (b), -20°C/GCG (c), and -80°C/GCG (d) laminates at various temperatures and frequencies.
Figure 6.
The logarithmic frequencies versus the reciprocal of glass transition temperatures of the GCG laminates.
Figure 6.
The logarithmic frequencies versus the reciprocal of glass transition temperatures of the GCG laminates.
Figure 7.
Comparisons between the storage modulus data and empirical models for control GCG laminates at 1 Hz (a) and 100 Hz (b).
Figure 7.
Comparisons between the storage modulus data and empirical models for control GCG laminates at 1 Hz (a) and 100 Hz (b).
Figure 8.
Comparisons between the storage modulus data and empirical models for 0°C/GCG laminates at 1 Hz (a) and 100 Hz (b).
Figure 8.
Comparisons between the storage modulus data and empirical models for 0°C/GCG laminates at 1 Hz (a) and 100 Hz (b).
Figure 9.
Comparisons between the storage modulus data and empirical models for -20°C /GCG laminates at 1 Hz (a) and 100 Hz (b).
Figure 9.
Comparisons between the storage modulus data and empirical models for -20°C /GCG laminates at 1 Hz (a) and 100 Hz (b).
Figure 10.
Comparisons between the storage modulus data and empirical models for -80°C/GCG laminates at 1 Hz (a) and 100 Hz (b).
Figure 10.
Comparisons between the storage modulus data and empirical models for -80°C/GCG laminates at 1 Hz (a) and 100 Hz (b).
Table 1.
The mechanical properties of carbon fiber, glass fiber, and the epoxy resin [
48].
Table 1.
The mechanical properties of carbon fiber, glass fiber, and the epoxy resin [
48].
Materials |
Young’s modulus [GPa] |
Tensile strength [MPa] |
Density [Kg/m3] |
Poisson’s ratio |
T-300 carbon |
230 |
3530 |
1760 |
0.30 |
E-glass |
72.5 |
2350 |
2570 |
0.25 |
Epoxy resin |
3.3 |
69.9 |
1020 |
0.36 |
Table 2.
The compressive properties of the hybrid composite laminates at different test temperatures.
Table 2.
The compressive properties of the hybrid composite laminates at different test temperatures.
Temperature (°C) |
Designation of GCG composite laminates |
Maximum force during failure (N) |
Compressive strength (MPa) |
Standard deviation (SD) and coefficient of variation (CV) |
-80 |
-80/GCG |
14382.19 |
668.19 |
(63.78, 9.54%) |
-20 |
-20/GCG |
12072.99 |
589.46 |
(60.11, 9.83%) |
0 |
0/GCG |
12414.76 |
591.41 |
(23.25, 3.93%) |
25 |
25/GCG |
9004.27 |
441.42 |
(34.34, 7.78%) |
50 |
50/GCG |
5572.57 |
249.47 |
(21.78, 8.73%) |
75 |
75/GCG |
4370.02 |
216.88 |
(17.08, 7.87%) |
100 |
100/GCG |
1412.86 |
68.06 |
(6.39, 9.40%) |
Table 3.
The tensile properties of the hybrid composite laminates at different test temperatures.
Table 3.
The tensile properties of the hybrid composite laminates at different test temperatures.
Temperature (°C) |
Designation of GCG composite laminates |
Force during failure (N) |
Tensile strength (MPa), SD, and CV |
Tensile modulus (GPa), SD, and (CV) |
-80 |
-80°C/GCG |
27234.64 |
1321.20 (37.53, 2.84%) |
74.63 (1.71, 2.29%) |
-20 |
-20°C/GCG |
23365.99 |
1125.01 (35.63, 3.17%) |
70.89 (0.53, 0.74%) |
0 |
0°C/GCG |
27437.70 |
1358.16 (29.54, 2.18%) |
74.35 (5.64, 7.58%) |
25 |
25°C/GCG |
20715.62 |
1005.39 (92.28, 9.18%) |
59.78 (5.14, 8.60%) |
50 |
50°C/GCG |
12958.90 |
637.66 (1.09, 0.17%) |
41.55 (3.31, 7.96%) |
Table 4.
The values of activation energy of the GCG groups of laminates obtained at the glass transition regions of the storage modulus, loss modulus, and tan curves.
Table 4.
The values of activation energy of the GCG groups of laminates obtained at the glass transition regions of the storage modulus, loss modulus, and tan curves.
Activation energy (kJ/mol)Group of hybrid laminates |
Tgmax (storage modulus) |
Tgmax (loss modulus) |
) |
Control GCG |
781.03 |
672.05 |
439.00 |
0°C/GCG |
981.15 |
933.28 |
534.95 |
-20°C/GCG |
805.02 |
797.49 |
453.33 |
-80°C/GCG |
1130.87 |
783.79 |
491.47 |