3.1. Residual Stiffness Examination
The reliable analysis of the stiffness evolution for the polymer based woven fabric composites under cyclic loading requires fatigue damage evaluation in the area of measurements. Therefore, a specific shape of the specimen gauge length was applied. It enforced the highest stress concentration in its smallest section. Such a design also enabled a local monitoring of the elastic modulus evolution by means of the extensometer. This possibility is particularly important due to the fact that the generation of damage resulting from local plastic deformation in the areas of stress concentration (around voids and other structural imperfections) tends to homogenization in the selected cross-sections. Thus, in this area, matrix cracks initiate and propagate in the transverse yarns. In order to investigate these phenomena, the MTS model 634.31F-24 longitudinal extensometer was used in the tests, adapted to the specimen gauge length of dimensions from 10.0 to 20.0 mm with the possibility of step adjustment +4.0/−2.0 mm. According to the manufacturer, this device ensures high accuracy of measurements in accordance with the ISO 9513 class 0.5 standard. The maximum error in the measuring range is about 0.21%.
All fatigue tests started by the Young’s modulus (E
0) determination, and subsequently the selected blocks of loading cycles n
i were executed. After the last cycle the specimen was unloaded to zero force and the residual elastic modulus E
i was determined. Variations of the elastic modulus determined under cyclic loading for LCF and HCF tests are presented in
Figure 5 and
Figure 6, respectively.
The stress levels in the LCF tests were higher than the yield stress. For specimens oriented as [0°/90°]
4 the stress level was equal to 250 MPa (i.e., 35 MPa above the yield stress—see
Table 2). In the case of specimens oriented as ([45°/45°]
4) it was 80 MPa (i.e., 22 MPa above the yield stress,
Table 2). Each block employed for reduction of the stiffness of tested material contained n
i = 500 loading cycles. As observed in
Figure 5, the variation of stiffness with a number of cycles exhibits three clearly marked zones, for both materials tested. In the first part of the curves (up to point B), its value drops rapidly, as the result of typical fatigue behavior of composite materials, that leads to some stiffness loss (damage in the early fatigue, mainly develops in the matrix) [
13,
14]. In the second part (BC zone in
Figure 5) a degradation of the matrix and delamination process are further developing, however much slower than during the first stage of fatigue. The elastic modulus decreases almost linearly, however, for GFRE [45°/45°]
4 more than for the GFRE [0°/90°]
4. In the last part of the process, beyond point C, there is a relatively abrupt drop of the elastic modulus leading as a consequence to the fibers breakage, which takes below point D.
A similar program was arranged for HCF tests, however, for the stress levels higher than the yield stress. The maximum stress levels were equal to 80 and 55 MPa for [0°/90°]
4 and [45°/45°]
4 composite laminates orientations, respectively (
Figure 6). In this case, the total number of cycles to failure N
f was about 500.000 for both orientations considered. Each of the loading blocks applied in the experimental program comprised n
i = 50.000 cycles.
Similarly to the characteristics presented in
Figure 5, also on curves describing an evolution of residual stiffness for HCF tests (
Figure 6), three zones can be distinguished: AB, BC and CD. One can noticed however, that during the HCF tests the initial stiffness decreases a bit slower (zone AB) than that observed for the LCF tests, and as consequence, the curves pass smoothly to the second stage (BC zone) where the process of cyclic softening for both woven fabric orientations is practically the same as that for the specimens subjected to LCF. Finally, beyond the point C a similar character of the curves variations can be observed for both orientations taken into account. As it is shown in
Figure 5 and
Figure 6, almost 17% reduction of the initial stiffness was obtained for the GFRE [0°/90°]
4 independently, whether the LCF or HCF tests were executed. In the case of GFRE [45°/45°]
4, the reduction of stiffness was much clearer and amounted to almost 48%.
3.2. Identification of the Pre-Critical State
As observed, the cyclic loading strongly affected the stiffness of the materials tested. Depending on the woven fabric orientation and number of cycles to failure, a minor or major decrease in stiffness was identified. The results are consistent with those presented in previous studies on fatigue behavior of glass plain-weave fabric composites in on- and off-axis directions, although in this study the Elium thermoplastic resin was used as a tackifier instead of thermoset epoxy [
15,
20]. In order to determine a pre-critical state (i.e., the value of the maximum internal damage, at which the sample will not be destroyed), the damage parameter D
E was calculated. It was specified based on the value of the measured residual stiffness E
i for a given number of cycles N
f, by using equation 1. Its values for the specimens subjected to LCF and HCF loading are presented in
Figure 7 and
Figure 8, respectively.
Taking into account evolutions of the damage parameter presented in
Figure 7 and
Figure 8, one can conclude that three stages of damage can be easily noticed. In the first stage represented by a part of characteristic denoted as 0 B, the damage parameter exhibits a significant increase and takes the values at the end of this stage of D
E = 0.085 ÷ 0.100 and D
E = 0.035 ÷ 0.040 for LCF and HCF tests, respectively. In the second stage, defects in the form of micro cracks and delamination, generated by the fatigue aging, were increasing much faster for GFRE [0°/90°]
4 oriented laminate composites than that for GFRE [45°/45°]
4 ones. For the GFRE [45°/45°]
4 composite laminates, D
E parameter increases with the number of cycles to failure, only up to 0.15 and 0.10 for the LCF and HCF tests, respectively. In the case of GFRE [0°/90°]
4 the same parameter at the same stage of damage takes the value equal to 0.6 independently of a loading type (LCF or HCF). The third stage represents a very short final phase that covers a time to reach the failure. It appeared at N
f = 500.000 for the HCF and at N
f = 6.000 for the LCF.
Based on the residual stiffness E
i, and damage parameter D
E evolutions, the pre-critical states were established for all groups of the composite laminates tested. Their ranges are marked by the dotted black lines shown on
Figure 7 and
Figure 8. Identification of the pre-critical states enabled to interrupt the processes of aging, induced by uniaxial cyclic loading at a given value of the stiffness loss, and to maintain a comparable character of the internal damage (micro cracks in matrix and interlaminar debonding) for both orientations taken into account and stress levels applied. Therefore, the specimens for impact tests made of the GFRE [45°/45°]
4 were aged until damage parameter D
E attained the value of 0.45, that corresponded to the 𝜎
max = 80 MPa and N
f = 4.500 cycles for LCF tests. For the same orientation specimens subjected to HCF under 𝜎
max = 55 MPa and the same value of D
E = 0.45, 350.000 cycles were necessary to attain the pre-critical phase. Regarding the material with woven fabric oriented along the force direction (GFRE [0°/90°]
4), the maximum safe value of the damage parameters was equal to D
E = 0.15 and D
E = 0.11, for 𝜎
max = 250 MPa at LCF tests and 𝜎
max = 80 MPa at HCF test, respectively. Hence, to reach the assumed value of stiffness loss the N
f = 4.000 cycles for LCF and N
f = 400.000 cycles for HCF were required. Finally, in order to study the effect of softening generated by the fatigue aging on the impact resistance, 80 specimens for impact tests of 100 mm × 100 mm sizes were aged by uniaxial cyclic loading, 20 for each tested group.
3.3. Effect of Fatigue Aging on Impact Properties
Four groups of prior aged specimens were impacted using a drop tower with energy levels of 5 J, 10 J, 30 J and 50 J. The stiffness loss introduced by fatigue was approximately equal to 12% in the group of specimens cut out along the yarns (LCF and HCF tests on GRFE [0°/90°]
4), and 40% for specimens with woven fabric inclined at 45° with respect to the acting force (LCF and HCF test for on GRFE [45°/45°]
4). In order to study an effect of aging on the impact properties, the results were compared with those carried out on the non-aged specimens with the same woven fabric orientations. The low velocity impact test results are reported in
Table 3 and
Table 4.
The most common way to present the low velocity impact response and resulted damage is to use the recorded impact histories of force-time or force-displacement. Before an analysis let us to define some important quantities like a peak force and adsorbed energy. Peak force corresponds to the maximum value of impact force (F
i) registered during the contact between the impactor head and specimen. Absorbed energy should be treated as the amount of energy transferred from the impactor to specimen at the end of test. The impact force history at the low impacts velocity provides important knowledge regarding a damage initiation and its further propagation [
21], and therefore, a particular emphasis should be taken into account with regard to signal acquisition quality. Hence, the oscillations of higher frequency values in recorded data of force signals were filtered using the FFT techniques. As consequence, only harmonics of responses for basic frequency level are presented on the curves.
Figure 9 presents the force versus displacement curves for composite laminates subjected to an impact energy of 10 J. The early stages of the force versus displacement curves (slope of the curve) are not the same in case of the GFRE [0°/90°]
4, indicating that fatigue aging process affected the laminate’s stiffness. Subsequently, some small oscillations can be observed with force increase exhibiting a presence of matrix cracking [
22]. The effect is mostly visible for GFRE [45°/45°]
4, as a contribution of resin in the force transmission is more significant for this kind of composite. It takes place for a force value of about 2000 N. Above 3000 N an effect of the force stagnation can be observed. It was due to the reduction of bending stiffness resulting from the brittle impact damage behavior of GFRE, and moreover, from the delamination process development. The intensity of the force stagnation process was clearer for the unharmed (non-aged) specimens than that of the aged composite laminates. A decrease of the maximum impact force (F
i) was obtained for both orientations of the reinforcement considered in comparison to the non-aged composite. It was associated with an increase of the deflection, identifying material ability to dissipate more energy.
In order to better understand the effect of uniaxial fatigue aging on the low impact velocity properties and damage appearance in the material tested, the curves representing an energy variation versus time were elaborated and plotted in
Figure 10. The impact resistance represents an ability of the material to absorb energy without depicting too many other obvious damage indicators. The impact energy which corresponds to the peak energy on the E
i(t) diagram can be decomposed into two parts, the absorbed energy which generates damage, and elastic energy that serves for the impactor rebound. Therefore, in the present work, the energy absorbed by the specimen (E
a) is used as an indicator of damage degree [
19,
23]. Impact energy equal to 10 J, was insufficient to cause a complete loss of strength and penetration even for the aged specimens. However, it has to be noticed, that the composites subjected to prior LCF loading exhibit much lower energy dissipation ability. The results in
Figure 9 enable to assess a significant loss of stiffness caused by matrix cracking and interface debonding between the fibers and the matrix. The results for GFRE [45°/45°]
4 subjected to low velocity impact at 10 J exhibit that it was a less prone to delamination than GFRE [0°/90°]
4 and kept better impact resistance after fatigue aging. The values of absorbed energy by the composite laminates are reported for different aging processes, in
Table 3.
Subsequently, all groups of materials tested were subjected to the impact tests at 30 and 50 J.
Figure 11 and
Figure 12 show the evolution of the force versus displacement of the materials. All curves were obtained at room temperature (20 °C).
It is clearly visible in
Figure 11 that an initial slope of the characteristics slightly decreased due to prior in plane uniaxial cyclic loading applied. Such an effect proves that the internal damage caused a stiffness reduction in out of plane direction due to matrix cracking and softening of the reinforcing phase, and as a consequence, led to partial loss of the impact dissipation ability.
The impact energy values of 30 and 50 J were sufficient to cause a visible fracture with numerous internal cracks. Both aged and non-aged specimens did not resist the impact under 50 J, and all of them were perforated. It should be noted that again the aged specimens representing GFRE [45°/45°]4 orientation were the least resistant to impacts. In this case, the cracks of the matrix occurred under the force lower than that for GFRE [0°/90°]4. Moreover, a delamination appearing during impact led to the significant reductions of the transmitted force. Hence, the peak force oscillations recorded for these specimens reached even 1000 and 1200 N approximately, for the impact tests at 30 and 50 J, respectively.
The energy diagrams shown in
Figure 13 and
Figure 14 exhibit that values of energy absorbed by GFRE [45°/45°]
4 subjected to prior LCF or HCF loading are considerably lower if compared to the other ones obtained in this research. Therefore, the GFRE [45°/45°]
4 ability to dissipate energy is practically negligible low. One can indicate such an effect looking on the course of the green line for example, that almost does not drop. This fact evidences that the energy of the impactor is equal to the absorbed one, approximately. In consequence, the GFRE [45°/45°]
4 under LCF loading (represented by the green line) in
Figure 13 was more damaged during the impact loading expressed by a relatively large delamination region.
A comparison of the results presented in
Figure 13 and
Figure 14 enabled to conclude that impact energy of 30 J may be treated as the amount of energy close to the impact strength limit for composites tested. All energy characteristics exhibit energy peak, and further, their courses start to going down that is a clear evidence of the penetration and subsequent perforation of the specimens tested. Moreover, the differences in courses of the impact energy observed for the as-received and fatigue aged material directly identify an effect of fatigue aging on its impact resistance. This is an additional fact confirming previous observations, that the aged GFRE [45°/45°]
4 material is the weakest one among all considered in this research.
Having the characteristics presented in
Figure 14 it is easy to identify a rupture initiation in specimens tested. In the case of non-aged material the rupture started to develop when the energy level attained 40 J and 38 J, approximately, for the GFRE [0°/90°]
4 and GFRE [45°/45°]
4, respectively. Furthermore, it is clearly visible that all the groups of specimens after fatigue loading exhibited a significantly lower impact resistance. In the most undesirable case (HCF-GFRE [45°/45°]
4) the perforation appeared.
3.4. Identification of the Penetration Threshold
In order to assess a real improvement of the impact resistance of Elium acrylic based composite, the penetration threshold curves were fitted for the three materials. In fact, it is well known that the penetration threshold belongs to the most important features, enabling better classification of the impact properties of the laminated composites [
22]. This parameter determines the energy required for perforation of the laminated composite. In the present study a method defined by Reis et al. [
24] and Aktas et al. [
25] was applied. The authors defined an energy profile diagram (EPD) that is useful to compare the impact and absorbed energies, as well as to identify the penetration and perforation thresholds. According to Aktas et al. [
25], the penetration threshold can be defined as the point where the absorbed (E
a) and impact (E
i) energy are equal.
Figure 15 shows the EPD for all groups of specimens at ambient temperature. The diagram presented in
Figure 15 summarizes the results obtained for the as-received and aged material subjected to impact under energy levels equal to 5, 10 and 30 J. Data points of both unharmed and aged laminate are located below the line representing equilibrium between the applied and dissipated energy. It means the penetration threshold was not achieved, and as a consequence, the applied energy is used to bounce of the impactor. For the highest impact energy considered (50 J) all specimens tested were perforated.
The results for the impact energy of 10 and 30 J clearly show how the difference in energy absorption ability may change due to a type of reinforcement orientation and fatigue aging conditions. The prior aged laminates under LCF loading conditions attained practically the impact resistance limit regardless of the woven fabric orientation. It means that the absorbed energy attained the maximum possible amount of the impact energy applied. The highest values of absorbed energy were obtained for the GFRE [45°/45°]
4 after ageing due to LCF tests. It means that—in comparison to the other considered material configurations—such an oriented material is the least suitable for applications where the impact loading is dominant. Contrary to that case, the lowest values of absorbed energy were achieved after ageing due to HCF tests for GFRE [0°/90°]
4. In order to illustrate damage occurred on the opposite side of the impacted specimens, damage images were included in
Figure 15. They represent stages of damage for the GFRE [0°/90°]
4 in the as-received state subjected to impact under energy equal to 5, 10 and 30 J.
The authors also defined another approach in which a diagram of the elastic energy (E
e) versus impact energy (E
i) is used. The elastic energy is calculated as a difference between the absorbed impact energy and that corresponding to the peak of force (incident impact energy). The roots of the corresponding second degree polynomial equations fitting experimental data give energy values where impact energy (E
i) is equal to the absorbed energy (E
a), i.e., where E
e = 0. The roots of higher values indicate the penetration thresholds for laminates [
9,
24]. The values of the penetration thresholds for the non-aged and aged GFRE are shown in
Figure 16.
One can observe that the penetration thresholds calculated at 20 °C for impact energies of 5, 10 and 30 J strongly depend on the internal damage introduced by fatigue aging. As expected, the non-aged composites represented materials of the best impact resistance properties. An implied value of the impact energy at penetration thresholds was equal to 35.8 J for the GFRE [45°/45°]4 and 35.1 J for GFRE [0°/90°]4. In the case of the same materials after ageing due to HCF tests the impact energy at penetration thresholds was equal to 33.2 and 33.5 J, respectively, and for the same materials after ageing due to LCF: 31.9 and 32.6 J, respectively. It is easy to notice that, the maximum difference between penetration thresholds determined is only 3.9 J. The main reason for such a small difference results directly from the limited number of data points (only 3 energy levels were used in the polynomial fitting).
Despite the limited number of data available, one can conclude that the history of the elastic energy variation due to increasing impact energy provides an effective parameters for analysis of the impact response of composites reinforced by glass fibers of different woven fabric orientations. Thanks to the ΔEe a difference between the elastic energy of the non-aged and aged composite can be easily determined. It can be observed that the difference between the elastic energy for the non-aged and aged GFRE [45°/45°]4 (ΔEe) increases with the increase of the impact energy applied. An opposite effect takes place in the case of GFRE [0°/90°]4, particularly, if tests were carried out at energy values close to that corresponding to the perforation limit.
The results enable to conclude that the fatigue ageing process decreases the elastic response expressed by the stiffness reduction of both composites tested, and as a consequence, affects their toughness. It is strongly dependent on the mechanisms developing during tension on one hand, and a cohesion forces reduction between fibers and resin due to the fatigue ageing on the other. It leads to cracks generation in the transversal yarns for GFRE [0°/90°]4, and either in warps or wefts for GFRE [45°/45°]4.
3.5. Damage Analysis of Impacted Composite Laminates
Figure 15 and
Figure 16 contain photos of the reverse sides of the selected impacted plates for both fiber orientations tested at different energy values. At low impact energy, the damage is localized mainly in the matrix and takes the form of numerous cracks. For tests carried out at higher values of the impact energy, the area of damage increased significantly, revealing an occurrence of more severe forms of destruction such as delamination and fibers breakage, for example. When the composite laminates were subjected to prior fatigue aging, a degree of damage generated by that process underwent further development due to the impact introducing more severe forms of damage. One can indicate that the composites prestressed due to fatigue aging under the stress amplitude below the elastic limit were more damaged than those subjected to the same process, however, under stress amplitudes higher that the elastic limit. As a consequence, the mechanisms of plastic deformation were activated, which might induce some cavities and contribute to arrest propagation of cracks when the plate is subjected to impact [
26,
27,
28]. This effect is more obvious for the GFRE [0°/90°]
4 composite laminate.
The difference in damage that exists between the [0°/90°]
4 and [45°/45°]
4 orientations is that the two systems do not have the same glass fibers weight fractions. These observations are confirmed by the tomographic analyses performed on the specimens of [45°/45°]
4 and [0°/90°]
4 orientations, which were subjected to fatigue aging (
Figure 17 and
Figure 18). An appearance of the fatigue streaks, and the severe damage that results from them, show that the matrix cracking and delamination generated during fatigue were in fact the main causes of severely damaged areas formation.
Figure 17 shows intralaminar (
Figure 17b,c,d) and interlaminar damage (
Figure 17e,f) in the woven fabric composite with the warps and wefts oriented with an angle of 45 degree with respect to the force direction after fatigue loading and subsequent impact. There are clearly visible some cracks in the selected yarn (weft), as well as delamination between the neighboring layers. The cracks in the warps and wefts were induced by LCF or HCF loading leading to the softening of the whole structure of the composite. In consequence, the stiffness and impact resistance were affected. Those observations are in agreement with the SEM inspections presented in the previous study of damage induced by tensile fatigue loading in composites reinforced by glass plain-weave fabric [
14].
In
Figure 18, a comparison between the as-received and aged plate impacted at energy equal to 50 J is presented. The microtomography analysis showed that the area of matrix cracks of the non-aged laminate is smaller than that for the aged laminate plate observed. The results confirmed that the cyclic loading (aging) of the laminated composite leads to the decohesion of the fibers/matrix interface and promotes a generation of the severe delamination and matrix cracking when both tested composite laminates are impacted.