Abstract
Removable joint technology is commonly used in composite laminates for various load-bearing structures. However, existing research primarily focuses on bolted joints, there is relatively limited research on screwed joints in composite materials. This study investigates the influence of connected layer thickness and hole diameter on the tensile behavior of threaded joints in carbon fiber-reinforced polymer (CFRP) laminates. After fabricating different CFRP screwed joint specimens, tensile tests were conducted. The digital image correlation (DIC) technique captured the deformation process. The experiment results indicate a significant increase in load-bearing capacity with the increase in diameter. For instance, joints with an 8 mm diameter exhibited a load-bearing capacity of 10.82 kN. The increase in the connected layer thickness correspondingly enhanced the load-bearing capacity of the joint. The joint with a thickness of 7 mm had the highest load-bearing capacity of 8.83 kN. Besides, with the increase in the thickness of the connected layer, the failure mode transitioned from shear failure in the connected layer to screw pull-out. The tilt angle of the screw during the pull-out process also decreases with the increase in the connected layer thickness. Strain and out-of-plane displacement measurements under ultimate load conditions verify these observations.
Introduction
Composite laminates have favorable characteristics such as lightweight, high strength, and excellent corrosion resistance. Hence, they are widely used in fields such as aerospace, maritime, and manufacturing.1–3 Although composites have replaced traditional metal materials in various applications, it is challenging to connect composite laminates to metal structures or other laminates in structural engineering. Joints are regarded the weakest link in a structure, often prone to damage and failure. Therefore, several researchers have conducted studies to explore the properties of composite joints.4–6 Typical connection techniques include mechanical connections, adhesive bonding, and hybrid connections.7–9 Mechanical connections are characterized by their disassembly capability and have been extensively explored in numerous studies.
Most studies on mechanical connections of composite laminates primarily focused on the tensile performance of bolted joints. For instance, Li et al.10,11 evaluated the effect of the end-to-diameter ratio and width-to-diameter ratio, both set to 3, on the bearing strength of single‐bolt joints. The results showed that load-bearing performance of the joint linearly increased with an increase in the number of bolts. Chao et al. 12 developed a mathematical model to evaluate the effect of tolerance fit on the mechanical performance of composite material bolted connections. The research revealed that the maximum equivalent stress of interference-fit bolts was lower than the stress observed in fully-fit and clearance-fit bolts. Camanho 13 explored the factors influencing the failure of composite bolted joints and proposed methods for predicting failure. Single lap bolt joints are widely investigated due to their simplicity and effectiveness. However, the configuration of the single lap bolt joint leads to a secondary bending effect due to the eccentric loading path.14,15 Liu et al.16,17 used spring elements instead of solid bolt models to predict the secondary bending effects occurring in bolted connections. They improved finite element models by incorporating the deformation of the bolt shank, head, and bore bearings. It is imperative to explore damage development and failure mechanisms for surface strains and out-of-plane deformations of joints. However, it is challenging to determine the full-field strain evolution within the joint using conventional strain gauges and extensometers. This challenge can be effectively circumvented using digital image correlation (DIC) technology.18,19 Masoud et al. 20 used DIC technique to monitor the strain variations in the area beneath the bolt. The results revealed that bypass action caused an increase in strain whereas bearing action led to a decrease in strain.
Several modeling methods have been developed to analyze the mechanical properties of composite bolted joints. Camanho 21 used the point stress or average stress model to predict the final failure and failure modes. Comparative analysis with the experimental data revealed that the model accurately predicted the failure modes of composite bolted joints. Zhao 22 proposed the concept of additional stiffness associated with hole tensile deformation and used its calculation method to modify the deformation compatibility equation. This approach significantly enhanced the accuracy of predicting multi-bolt joints in composite material. Shan 23 used a novel progressive fatigue damage model and the nominal stress method to predict the fatigue failure of carbon fiber-reinforced polymer (CFRP) and aluminum joint plates. Belardi et al.24–26 used spring elements as replacements for solid bolt models. Subsequently, they assessed the stiffness of the bolt based on the deformation of the bolt shank, head and hole bearings, while considering the load distribution around the bolt. Moreover, they introduced a new composite bolt element to replace one region of the original model. The new element comprised a set of radially aligned beams connected to the bolt and the surrounding area. Additionally, they used CBJE finite element modeling with customized stiffness to simulate and evaluate the mechanical properties of composite multi-bolt joints.
Although extensive research has been conducted on composite bolted joints, the presence of visible bolt heads and nuts on the plates leads to aesthetic and aerodynamic concerns. In addition, rivet joints pose drawbacks as they cannot be removed without damaging the structure. 27 In scenarios requiring low load capacity, directly screwing a screw into the threads offers superior removability than bolting. This study focuses on investigating screwed connections in composite materials. Richar 28 conducted tensile tests on CFRP screws after fixing the threads. The M5 and M8 threads exhibited good load capacity with an average of 4.42 kN and 6.56 kN, respectively. Zakharova 29 experimentally assessed the load-bearing capacity of threads fabricated from carbon-carbon composites at varying temperatures. The findings revealed a significant increase in the load-bearing capacity of the threaded joint between 1900°C and 2200°C. Jeong 30 investigated the impact of screw inclination angle on the sliding modulus and shear strength of screw connections in laminated timber-concrete composite materials. Freitas et al. 31 highlighted that the coating of the tap and the tapping speed are crucial factors affecting the tapping force during the threading process of CFRP. Ahmet et al.27,32 Explored the load carrying capacity of CFRP composite laminate screwed joints under various hole diameters through compression tests. Punching experiments on CFRP composite screwed joints revealed that the maximum failure load increases with an increase in hole diameter.
The current research primarily involves evaluation of the compression and impact resistance of CFRP screwed joints. Limited studies have explored the mechanical properties of CFRP screwed joints under tensile loading. A comprehensive evaluation of the tensile performance of CFRP screwed joints is crucial because they offer superior removability compared to bolted joints. In this study, tensile experiments were conducted on CFRP screwed joints, and the effects of hole diameter and varying connected layer thicknesses on the load-bearing capacity and failure modes of these joints evaluated. Moreover, the dynamic process of CFRP threaded joints under tensile loading was explored, mainly focusing on a detailed analysis of the thread pull-out failure process. Furthermore, the variations in the screw tilt angle during the thread pull-out process were investigated. The failure mode during the tensile process was verified by determining the surface principal strain field and the out-of-plane displacement field using the 3D-DIC technique.
Experimental design
Specimen preparation
Material properties of the basic CFRP layer.
Specimen names and parameters.

Experimental specimens: (a) Specimen composition, (b) Screwed holes for connecting layers.
The specimens were manufactured using CNC-controlled machine tools. The pre-holes in the connecting layer need to be drilled before tapping. The pre-hole operations were performed using a tungsten steel bit, and the tapping operations were implemented with machine taps at a cutting speed of 25 m/min. 32 After the tapping process use the tap wrench along the axis of the hole in the direction of slow rotation and move up and down. The tap can be smoothly rotated and no chip generation state indicates that the tapping process has been completed. Manual tapping is done to ensure that the powder generated during the tapping process can be discharged effectively to prevent damage to the screws. As shown in Figure 1(b) the screwed hole obtained after tapping.
Assign unique identifiers to all specimens, denoted as “S,” with the first digit signifying the thickness of the connected layer, the second digit representing the diameter of the screwed hole, and the third digit indicating the serial number. For instance, in the nomenclature, “S3-6-1” designates the initial specimen within the CFRP laminated plate with a thickness of 3 mm and a screwed hole diameter of 6 mm, as outlined in Table 2, providing the specimen parameters. Three specimens were prepared for each parameter. A total of 18 specimens were prepared for this test.
Experimental set up
The universal testing machine (Shimadzu, AGS-X-50kND) was used in this study at the loading rate of 1 mm/min. All specimens are tested on the same testing machine. Spray white matte primer on laminate laps before stretching, and spray the black scattering after the primer has completely solidified to form random patterns on the surface.34–36
The Vic-Snap9 software was used to capture real-time surface out-of-plane displacement and surface principal strain in the frontal view of the screwed joint. Two 12 M industrial cameras were used to acquire the images and the sampling rate of the cameras was set to capture images every 500 ms. Photographs were captured at the beginning of the tensile test until failure of the specimen occurred. Post-processing analysis of all measurement results using digital image correlation (DIC) professional software Vic-3D9. Set the facet size and facet step to 50 and 7, respectively, based on the resolution and average scatter size of the image to ensure the accuracy of the calculation. The spot patterns of the experimental equipment and specimens are shown in Figure 2. Diagram of experimental equipment and specimens.
Results and discussion
Failure analysis
Effect of diameter on failure
Figure 3(a) shows the load-displacement characteristic curves for specimens of different diameters. Compared to the specimen with a hole diameter of 6 mm, the other specimens showed a sudden drop in load after reaching the ultimate load. The sudden drop in load for the 8 mm specimen is attributed to bearing failure. Bearing failure is developed by the compressive forces between the fastener and the hole surface. Fasteners create stress concentrations around holes, and a crack is initiated at the hole edge, which usually leads to a sudden catastrophic joint failure.
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For a 4 mm specimen, a sudden drop in load due to the fracture of a screw can be equally catastrophic in engineering. By comparing the 6 mm and the above two specimens, it can be seen that the load decreases relatively slowly after reaching the ultimate load. When used in engineering, it will be detected in time before complete failure occurs. Besides, before the ultimate load is reached, the 6 mm and 8 mm screws are tilted by the force. This phenomenon results in screw embedded in the laminate leading to localized fiber breakage in the hole, so fluctuations occur before the ultimate load is reached. The 4 mm screw did not tilt and create load fluctuations because it fractured itself. Tensile mechanical properties of different diameters: (a) Load-displacement curves; (b) Average ultimate loads.
Figure 3(b) shows the average ultimate load plots for different apertures depicting a clear trend in the load carrying capacity. 8 mm hole diameter joints have a load capacity of up to 10.82 kN. Compared to joints with 4 mm and 6 mm diameters, there was an increase of 99% and 26%, respectively. The graph indicates that the ultimate load capacity of carbon fiber-reinforced polymer (CFRP) screwed joints significantly increases with the enlargement of screw diameters. This enhancement is due to the increase in diameter leading to an increase in contact area. This increases the friction and thus the load carrying capacity. On the other hand, the increase in diameter also increases the shear strength of the screw. So sometimes larger screw diameters result in a greater force being required to achieve failure.
Failure results for different diameter sizes.
Effect of connected layer thickness on failure
Typical load-displacement curves for different thicknesses of connected layers are shown in Figure 4(a), the trend of the curves is an upward and then relatively slow downward process. Due to the gradual nature of the thread pull-out process or the shear failure process of the connected layers, the damage to the material itself is rapid. Therefore, the load drop process is relatively slow and has better ductility compared to the material’s destruction. Figure 4(b) shows the average ultimate load for different thicknesses of connected layers. The joint with a thickness of 7 mm exhibited the highest load-bearing capacity, capable of withstanding a load of 8.83 kN. Compared to joints with thicknesses of 1 mm, 3 mm, and 5 mm, there were increases of 175%, 23%, and 2%, respectively. According to the overall trend of the average ultimate loads, the load-bearing capacity of the CFRP screwed joints increase with the thickness of the connected layer. The increase in connected layer thickness results in a larger contact area. This means that the screw is in contact with more fibers and resin during the stretching process causing the load to increase. Tensile mechanical properties of different connected layer thicknesses: (a) Load-displacement curves; (b) Average ultimate load.
Failure results for different connected layer thicknesses.
Two failure results for connected layer thickness of 3 mm.
Analysis of screw pull-out process
For the specimen where screw pullout occurs, it is a staged process. For example, Figures 5–7 shows the load-displacement curve of the specimen with screw pullout and its screw pullout process. The graphs show that after reaching the ultimate load, screw pull-out begins to occur. During the load descent, as the screw screws initially separate from the material of the screwed hole, localized fiber damage or delamination may cause a temporary drop in the load-displacement curve. However, as the screws continue to engage and the next section of the screw supports these damages, the load may rise again. This staged damage process can result in fluctuations in the load-displacement curve.39,40 During the screw pull-out process, the descent of the load curve noticeably quickens with the increase in connected layer thickness, as a thicker connected layer diminishes the screw’s angle of tilt during pull-out. This limitation of the screw’s inclination by a thicker connected layer suggests an enlarged contact area between the screw and the hole, which concurrently necessitates a higher pull-out force. Once the screw begins to pull out, the greater pull-out force may lead to a more rapid screw failure and pull-out. Screw pull-out process: (a) Specimen S7-6-1 load-displacement curve; (b) Screw pull-out picture. Screw pull-out process: (a) Specimen S5-6-1 load-displacement curve; (b) Screw pull-out picture. Screw pull-out process: (a) Specimen S3-6-3 load-displacement curve; (b) Screw pull-out picture.


As depicted in Figures 5–7, in the process from points a to b preceding screw pull-out failure, the screw becomes inclined due to torque, with the inclination at an angle θ. The screw pull-out process initiates only after point b is reached. During the pull-out process, damage due to local material compression can further enlarge the screw’s angle of tilt, and the clearance between the screws increases as they are extracted, providing the screw with additional room to move. Thus, the angle of screw inclination dynamically changes during the process of screw pull-out failure.
Figure 8(a) summarizes the trend of the screw’s torsional angle change with each screw extracted during the screw pull-out tests. It can be seen that for the specimens where screw pullout occurred, the screw tilt angles at the start of screw pullout (i.e., point b in the figure) were 29°, 21°, and 17° for specimens with connected layer thicknesses of 3 mm, 5 mm, and 7 mm, respectively. It can be observed that as the connected layer thickness increases, the angle of screw inclination at the ultimate load decreases. Increasing the thickness of the connected layer enhances the shear strength of the entire connection because the shear area of the screw increases. A thicker material layer can provide more resistance, thereby reducing the angle of inclination. On the other hand, the thicker connected layer increases the stiffness of the overall structure. The high stiffness resists torsion due to moments and helps to keep the screws horizontal, thus reducing screw tilt. Screw tilt angle change: (a) The tilt angle of the screw pullout; (b) Tilt angle for different thicknesses of connected layers.
Figure 8(a) also reveals the dynamic changes in the screw’s angle of inclination during the screw pull-out process. As the screw is progressively extracted, the angle of screw inclination exhibits an increasing trend due to localized damage. However, this trend shows a particular non-linearity in the thinner connected layer, which is somewhat related to the partial destruction of the accumulated 90° fibers in the connected layer. The thickness of the connected layer plays a crucial role in maintaining the angle of screw inclination. Therefore, the stability and durability of the screwed connection can be significantly improved by rationally designing the thickness of the connected layer, which is of great value for improving the performance of CFRP structural connections in engineering applications.
As shown in Figure 8(b) demonstrates the screw tilt angle after failure of specimens with different thicknesses of connected layers. It can be observed from the figure that the screw tilt angle of the 1 mm specimen is much smaller than the other specimens. Because when the thickness of the connected layer is small, the connected layer is deformed by the shear force of the screw. The smaller force inhibits the tilt angle of the screw, so the tilt angle of a screw that experiences a shear failure is less than the tilt angle of a screw that experiences a thread pullout failure pattern. As the thickness of the connected layer increases, the connected layer can withstand greater shear forces and is less prone to shear failure. The screw is subjected to the secondary bending moment and tilted. 41 The contact area of the screw with the connected layer rises with the thickness of the connected layer, resulting in an increase in the resistance during the tilting of the screw to inhibit the tilting of the screw. Therefore, for specimens in which thread pullout occurs, the tilt angle of the screw decreases as the thickness of the connected layer increases.
Digital image correlation-based analysis of principal strain field and out-of-plane displacement field
Effect of change in thickness of connected layer
This section describes in two parts the acquisition of surface principal strains and out-of-plane displacements by digital image correlation (DIC) under different connected layer thicknesses and diameters. In the previous section, it was discussed that when the failure mode is characterized as a screw pullout failure, it is clearly stated that the ultimate load is the critical point at which the screw begins to pull out. The other failure results of the joint are also closely related to the ultimate load, so the strain field and out-of-plane displacement field in this section are recorded when the load reaches the ultimate load. The collection of such data is critical to the behavioral patterns of joints under ultimate loads and has significant academic and meaningful applications for optimizing joint design and predicting their structure.
Figure 9 displays the primary surface strain fields at ultimate load for different connected layers, where shadowing near the screw head has led to a partial omission in the strain field’s capture by the industrial camera. Nevertheless, the data present a pronounced strain gradient around the screw head region. The figure indicates that strains are predominantly localized at the lower part of the hole, corresponding to the load-bearing side subject to the screw shank’s extrusion pressure. Additionally, strains are present at the upper part due to the screw’s tilt exerting extrusion. This tilt results in a tighter screw head connection with the upper connected layer, intensifying friction during tensile loading and contributing to incremental deformation. Post-tensile residual strains and material springback also manifest around the hole.
42
In the thinner connected layers, the strain below the hole is more acutely affected by the layer’s thickness. The 1 mm and 3 mm thicknesses, strain originates below the hole and extends to the plate’s end. In contrast, the 5 mm and 7 mm thicknesses show a strain that also initiates below the hole but decreases progressively. This strain distribution pattern is deemed rational considering the failure modes observed post-ultimate load. In thinner layers, areas of maximum strain within the field prefigure the location of shear failure. Conversely, with increasing plate thickness, the strain field lessens correspondingly. These findings are crucial for predicting screw connection behavior across varying plate thicknesses and provide insights that are instrumental in refining the design of composite material structures. Principal strain fields of specimens with different connected layer thicknesses (a) 1-6-1, (b) 3-6-1, (c) 5-6-1, (d) 7-6-1.
Despite the application of in-plane tensile loads, the screwed joint demonstrates notable out-of-plane displacement behaviors, which are attributed to factors such as screw inclination and the potential for screw pull-out.
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Figure 10 illustrates these displacements across specimens with varying thicknesses of the connected layers. Analysis of the failure across four different connected layer thicknesses shows that the specimen with a 1 mm thickness experiences direct shear failure upon reaching ultimate load, with its out-of-plane displacement markedly lessened due to minimized screw tilt when compared to other thicknesses. Consequently, discussions about the 1 mm thick specimen are omitted here. Further analysis indicates that the upper side of the hole displays out-of-plane deformation in the reverse direction, or negative deformation, resulting from the screw head’s downward force. The connected layer exhibits a propensity for tilt, with the lower side of the plate orienting outward and the stretching side inward, a tendency that intensifies as the plate thickness diminishes. This effect precipitates greater out-of-plane displacement in the vicinity of the screw due to its angled position. Notably, with a 3 mm through-hole plate, the out-of-plane displacement at the hole’s lower end peaks at 0.83 mm, signifying increases of 130% and 143% relative to 5 mm and 7 mm thick plates, respectively. Similarly, the upper end registers a displacement of −0.61 mm, surpassing the 5 mm and 7 mm plates by 103% and 117%. These observations indicate that a decrease in connected layer thickness enhances the compressive deformation on both sides of the hole due to screw compression. Furthermore, this suggests a corresponding rise in the screw’s torsional angle, aligning with previous studies findings. Such insights are academically pivotal for elucidating screw connection behaviors under tensile stress and serve as a valuable reference for the refined design of screwed joints in composite material structures. Out-of-plane displacement fields of specimens with different connected layer thicknesses (a) 3-6-3, (b) 5-6-1, (c) 7-6-1.
Effect of changes in diameter size
Figure 11 presents the distribution of the surface principal strain field in specimens with varying hole diameters at ultimate load. The specimen with an 8 mm diameter hole exhibits the highest principal strain, measured at 0.076, which is a substantial increase compared to those with 4 mm and 6 mm diameters. For the 4 mm diameter joint, strain concentration is localized on the lower side of the hole, where the screw shaft exerts compression. As the hole diameter expands to 6 mm and 8 mm, this strain concentration extends to both the upper and lower sides of the hole, becoming especially pronounced at 8 mm, with noticeable deformation on the upper side. The pattern of the strain field is closely linked to the specimens’ failure modes, indicating a transition from screw fracture in smaller diameters to extrusion damage of the connected layer in larger diameters. This trend suggests that deformation adjacent to the hole escalates with increasing hole diameter. Principal strain fields of specimens with different diameters (a) 5-4-1, (b) 5-6-1, (c) 5-8-1.
Screwed single lap joints are known to exhibit considerable out-of-plane deformation at ultimate load, even in the presence of in-plane tensile forces. As depicted in Figure 12, this deformation varies with the diameter of the specimens at ultimate load. For a 3 mm diameter, the out-of-plane displacement near the hole is minimal, with the entire connected layer experiencing slight out-of-plane displacement 0.332 mm outward at the lower end and 0.196 mm inward at the upper end. At a 6 mm diameter, the connected layer’s out-of-plane displacement becomes more pronounced due to the torsional compression exerted by the screw, yet the maximum displacements remain at the edges closest to the boundary, at 0.55 mm and −0.405 mm. An 8 mm diameter markedly increases the maximum out-of-plane displacement, especially at the lower side near the hole, which reaches up to 4.16 mm. The failure of the 8 mm specimen under ultimate load is attributed to material extrusion damage and some degree of screw disengagement, leading to the substantial out-of-plane displacement observed around the screw hole, and this displacement aligns with the observed failure pattern. Out-of-plane displacement fields of specimens with different diameters (a) 5-4-1, (b) 5-6-1, (c) 5-8-1.
Conclusions
Compared to traditional bolted connections, due to the absence of nuts on the plate, cosmetic and aerodynamic design requirements can be better met by a screwed connection. Besides, without using the nuts, a screw connection is weight saving and facilitates assembly when only one side of the construction is accessible.
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Hence, in this research, tensile tests were conducted on carbon fiber-reinforced polymer (CFRP) laminates with screws introduced by tapping. An industrial camera provided real-time monitoring, while digital image correlation (DIC) analysis was utilized to assess the strain field and out-of-plane displacements, this study examined the effects of connected layer thickness and hole diameter on the tensile behavior and failure outcomes of composite screwed joints. The findings led to the following conclusions: (1) Tensile testing revealed that enlarging the diameter in CFRP screwed joints substantially improves their load-bearing capacity. Specifically, a diameter of 8 mm resulted in a load capacity of up to 10.82 kN, which is a 99% and 26% increase over the capacities of 4 mm and 6 mm diameters, respectively. However, the use of an 8 mm and 4 mm diameter is generally not recommended in engineering applications due to the sudden material failure observed in these cases. (2) When the thickness of the connected layer of CFRP screwed joints is elevated relative to the thickness of the connecting layer, the load carrying capacity is improved, 7 mm compared to 1 mm, 3 mm, 5 mm by 175%, 23%, 2%. Failure results from the connected layer shear failure to screw pullout failure, the tilt angle of the screw in the pullout process will gradually become larger. And with the increase of the thickness of the connected layer, the tilt angle of the screw at the beginning of the screw pullout decreases. (3) For CFRP screwed joints with different connected layer thicknesses, the principal strain field at the ultimate load increases with the increase of the connected layer thickness. When the failure is a screw pullout, the out-of-plane displacement at the ultimate load decreases with the increase of the thickness, verifying the change of the tilt angle, so the effect of the connected layer thickness should be taken into account in the design. (4) For CFRP screwed joints with different hole diameters, the strain field increases with increasing hole diameter, gradually spreading from one side of the hole to the perimeter of the hole and increasing as the hole diameter increases. The out-of-plane displacement of the joint surface also increases. Therefore, the effect of the hole diameter on the structure as a whole should be considered in the design.
Footnotes
Acknowledgments
This work was supported by Tianjin 131 Research Team of Innovative Talents (No. 201916), and Tianjin Diversified Investment Project in Applied Basic Research (No.23JCYBJC00100). The authors would like to acknowledge the editors and the anonymous referees for their insightful comments.
Author contributions
Renyu He: Conceptualization, Methodology, Writing – original draft. Tao Yang: Software, Validation. Sinan Liu: Writing – review & editing. Penchao Zhang: Writing - original draft. Chang Liu: Writing – review & editing, Data curation. Wenhui Yuan: Validation, Data curation. Yu Du: Supervision, Data curation.
Declaration of conflicting interests
The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
Funding
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by the Tianjin 131 Research Team of Innovative Talents (No. 201916), and Tianjin Diversified Investment Project in Applied Basic Research (No.23JCYBJC00100).
Ethical statement
Data availability statement
The data and materials used during the current study are available from the corresponding author on reasonable request. Data will be made available on request.
