1. Introduction
Fiber-reinforced plastics (FRPs) are used for repairing and reinforcing structures because they have a high strength-to-weight ratio and corrosion resistance. In recent years, the application of FRPs as structural members, e.g., in pedestrian bridges, buildings, and large roofs, has been promoted [
1]. Bai and Keller [
2] introduced an FRP pedestrian bridge built in 2005 and investigated its dynamic response behavior. They suggested that the connection method affects structural dynamic behavior. Votsis et al. [
3] investigated the structural behavior of a novel type of FRP bridge—the Aberfeldy footbridges—and they evaluated their dynamic properties by experiment and the finite element method to clarify the long-term performance of FRP bridges. Evernden and Mottram [
4] introduced FRP buildings and their manufacturing process to develop FRP buildings in the United Kingdom. Yang et al. [
5] proposed new space frame structures with a grass fiber-reinforced plastic (GFRP) connection method, and the method of structural design and modeling for finite element analysis was clarified. Matsumoto and Yonemaru [
6] investigated mechanical performance of a CFRP roof truss member under long-term loading conditions, and it was confirmed that properties were not varied even if specimens were exposed outside. In order to use FRPs as structural members, it is necessary to study the connection method. Several methods have been proposed for connecting FRP members, such as mechanical joints, adhesively bonded joints, and composites of these. Coelho and Mottram [
7] summarized the bolted connection and its strength, and they suggested that the connection of pultruded FRP should be established by considering the material characteristics, such as orthotropic material properties and the estimation of several failure modes. Ueda et al. [
8] proposed a new connection method using a carbon fiber-reinforced thermoplastics (CFRTP) rod to joint CFRP plates like a rivet. They clarified the shear strength of CFRTP rod with 5.2 mm diameter as 2.5–3.6 kN, and demonstrated that the specific joint strength can be effectively increased. Ascione et al. [
9] proposed adhesively bonded GFRP beam-column connections with an improved connection by angle member and stiffener, and experimentally investigated the connection strength. They concluded that the fully bonded connection could provide rigid and higher connection strength with cohesive failure. However, strength variation and stability was not evaluated depending on bonding condition and material imperfection. In the case of mechanical joints, metallic bolts and rivets are often used, but the corrosion resistance of FRP member is not fully utilized because these joints are degraded by corrosion. Furthermore, a bolted connection lacks initial stiffness because frictional resistance cannot be performed. Connection strength may also decrease due to unavoidable non-uniform clearances between base member and bolt/rivet shank because an FRP member cannot redistribute bearing stress by plastic deformation. Marra et al. [
10] clarified un-uniform load distribution in multi-bolt joints because of bolt-hole clearance and bolt position by finite element analysis, and they evaluated the stress distribution coefficients. However, an improved method was not suggested. Matsumoto et al. [
11] reported that the diameter ratio of the bolt and bolt hole greatly affects bearing strength, and bearing strength can be improved by decreasing the diameter of the bolt hole to close a clearance.
On the other hand, fiber-reinforced thermoplastics (FRTPs), which are FRPs that use thermoplastic resins, have attracted attention in composite material fields. FRTPs can be remolded by heating, so they have the possibility of secondary processing, recycling, and reuse in addition to FRPs. Moreover, FRTPs could reduce costs because they can be manufactured with excellent speed by injection molding or press molding compared with thermosetting plastics. Yeong et al. [
12] demonstrated the manufacture of a CFRTP and GFRTP coupon, and they tested them under tension, bending, and indentation loads. They suggested that the manufacturing process using FRTP could reduce molding costs, and showed comparable strength and elastic modulus to conventional CFRP and GFRP. To develop and apply FRTPs to engineering fields, research for the evaluation of mechanical characteristics by Doan [
13] and Cao [
14] was carried out, and manufacturing processes were also evaluated in recent years by Fan [
15] and Rodonò [
16].
On the basis of this background, we studied the connection methods to take advantage of the features of FRP materials and structures. In this paper, we propose a connection method using FRTP rivets to provide a solution for problems caused by corrosion and clearance, and evaluate the connection strength and mechanical behavior through material tests and structural experiments.
2. Fiber-Reinforced Thermoplastic (FRTP) Rivet and Its Connection Method
Figure 1 shows the geometry and image of the FRTP rivets used in this study. The FRTP rivets were made of polyamide 6 (PA6) with 50 wt.% glass fiber (Durethan BKV50HEF 900,116 DUS022, Tokyo, Japan) by injection molding. The length of the glass fiber was approximately 0.35 mm.
Table 1 shows the properties of the FRTP material.
We evaluated the connection method using tapping screws that do not require holes to insert a tapping screw for FRP members [
17]. The initial stiffness of the connection increased, and stress concentration was reduced because there was no clearance between FRP base member and tapping screw. However, the connection using the tapping screw lacked pull-out and fatigue strength because it did not contain a nut at the drilling side. To improve the non-clearance connection, the connection method using FRTP rivets and tentative tapping screws was proposed to provide higher initial connection stiffness and minimize preparation for mechanical connection.
Figure 2 shows the connection method using FRTP rivets. First, a tentative connection by tapping screws to produce holes and fix FRP members was performed (
Figure 2a). The nominal outer diameter of the tapping screw was 5.5 mm. Second, tapping screws were ejected while fixing FRP members, and FRTP rivets were inserted (
Figure 2b). Third, the rivet head was thermoformed using a heating die (
Figure 2c). Processes (b) and (c) were applied to all FRTP rivets one by one. Lastly, the FRTP connection could be made as shown in
Figure 2d. In addition, a tentative connection by tapping screws does not necessarily have to be drilled for all rivet positions. In this case, other rivet holes could be drilled with a drilling machine in the same way as in bolt-hole preparation.
4. Connection Strength under Tensile Shear Loading
This section discusses the connection strength using single or multiple FRTP rivets for GFRP plates through double-lapped tensile shear tests.
Figure 12 shows the connection test specimens and setup. Double-lapped GFRP plates with 40 mm width connected by FRTP rivets were used. GFRP plates were made by pultrusion using unsaturated polyester resin and glass fiber (PLALLOY
TM by AGC Matex Co., Ltd., Kanagawa, Japan); the glass roving layer (approx. 4.5 mm) was sandwiched between the continuous strand mat layers (approximately 0.25 mm).
Table 2 shows the mechanical properties of the GFRP plate. The number of specimens for the connection test was 5 for each connection type depending on the number of used rivets: 1, 4, 8, and 12. The rivets were arranged low at intervals of 20 mm. Specimen names were D1, D4, D8, and D12 according to the number of rivets used.
All specimens were monotonically tested using a tensile test machine. Two clip-type displacement transducers were mounted on both sides of the specimen to measure the relative displacement of the connection, as shown in
Figure 12.
As a result of the connection test, the shear failure of the FRTP rivets was obtained in all specimens, as shown in
Figure 13a.
Figure 14a shows the maximal loading, average values, and standard deviation obtained by the connection test. Average strength obtained by the D1 specimens was 2.72 kN, which was 21% higher than the average of the material test result. This is because a slight bending moment was applied due to the clearance between cover plate and rivet in the material shear test, but only shear force could be applied in the connection test by the non-clearance connection method shown in
Figure 2.
Figure 13b shows a close-up image of around the FRTP rivet of the broken specimen. Since the nominal outer diameter of the tapping screw was 5.5 mm, the clearance between FRTP rivet and GFRP plate was theoretically 0.25 mm. In fact,
Figure 13b confirms that the clearance was very small. The connection using FRTP rivets could provide quite stable strength because of the small coefficient of variation regardless of the number of rivets.
Figure 14b shows the maximal loading per unit rivet. Maximal loading per unit rivet was calculated by the maximal loading shown in
Figure 14a divided by the number of rivets used for the connection. Even if the number of rivets increased, the connection strength per unit rivet was almost the same. Moreover, the connection strength per unit rivets was higher than the shear strength of material test was. Therefore, connection strength using FRTP rivets linearly increased as the number of rivets increased.
Figure 15 shows the load-relative displacement relations. Initial sliding was not observed in all specimens using multiple rivets because non-clearance could be achieved, as shown in
Figure 13b.
5. Mechanical Behavior of Beam Joint under Bending
This section discusses the strength of the beam joint using FRTP rivets for a GFRP beam through a four-point bending test.
Figure 16 and
Figure 17 show bending test specimen and setup, respectively. The specimen was produced with longitudinally jointed two H-shaped GFRP beams with a 5 mm gap using FRTP rivets through GFRP splice plates. The H-shaped GFRP beam member consisted of two pultruded GFRP channel-shaped members that were adhesively bonded back-to-back by epoxy adhesive. The mechanical properties of the GFRP channel-shaped member are shown in
Table 2. The GFRP splicing plates were molded by vacuum-assisted resin transfer molding using two-directional glass woven fabric (ERW580-554A) and epoxy resin.
Figure 16b shows the joint details. The number of rivets in width, height, and longitudinal direction were four, four, and eight, respectively. Thus, the total number of rivets used for joining was 96. The total number of rivets was determined so that the rivet fracture preceded the beam member fracture and buckling to evaluate the strength of the FRTP rivet connection. The bending test was performed on only one specimen, but bending test behaviors were expected to be stable because connection strength using FRTP rivets was stable, as shown in
Section 4.
Maximal loading at the joint was calculated by multiplying rivet strength and distance from the neutral axis or the center point of rotation with the same method as that for bolt joints in steel structures, as shown in
Figure 18. Bending moment resisted by flange rivets
was calculated by the following equation.
where
is the number of FRTP rivets in upper/lower flange of one side of beam member
is the shear force of the FRTP rivets, which was obtained from D1 specimens shown in
Figure 12 of the connection test; and
is distance between the center of the thickness of the upper and lower flanges. In this study,
,
kN, and
mm. Bending moment resisted by web rivets
was calculated by the following equation.
where
is distance from the center of gravity of web joint to one rivet; and
is the shear force resisted by the rivet, which was calculated by multiplying the shear force of FRTP rivets
by the ratio of the vertical distance of rivet
to the vertical distance of center of flange
based on the beam neutral axis. Therefore, maximal loading at the joint
was calculated using the bending moments obtained from the Equations (2) and (3) by the following equation.
where
is distance from loading point to supporting point of the specimen (
mm). As a result of the calculation, maximal loading at the joint could be estimated as 22.35 kN.
The specimen was monotonically tested using a compression test machine. Displacement transducers were mounted onto the middle of the span and the loading points of the specimen to measure the displacement of the specimen, as shown in
Figure 16a.
Figure 19 shows the failure mode of the bending test specimen. Rivets were almost broken, with shear failure mode on the right side of the web and the bottom flange, and the failure position was the surface between web and splice plate. This failure mode was as expected because shearing force acting on the rivets reached the maximum at the top and bottom of the beam.
Figure 20 shows the load-displacement relations. The load rapidly decreased due to the rivets breaking after reaching maximal loading. The maximal loading obtained by bending test was 22.61 kN, which had a 1.2% error from theoretical value
. Thus, it is demonstrated that joint strength using FRTP rivets can be calculated with high accuracy from the shear strength of a rivet and the distance from the center using the method for bolt joints in steel structures. Maximal displacement at the middle of span obtained by bending test was 22.26 mm, and the average of the displacements at the loading points of the specimen obtained by bending test was 17.60 mm.
In this study, we considered three displacement components to evaluate deformation, i.e., the bending and shear deformations obtained from fundamental beam theory, and rotation at the joint as shown in
Figure 21. Displacements due to bending,
and
were calculated by the following equations. Subscript
C, middle of span; subscript
L, loading points.
where
is the applied load,
is the longitudinal elastic modulus of the H-shaped GFRP beam shown in
Table 2, and
is the moment of inertia of the H-shaped GFRP beam. Displacements due to shear stress
and
were calculated by the following equation.
where
is the shear correction factor, which is the ratio of the web cross-sectional area to the total cross-sectional area of the H-shaped GFRP beam;
is the shear modulus of the H-shaped GFRP beam; and
is the cross-sectional area of the H-shaped GFRP beam.
Figure 21 shows a model in which the joint of the beam was an elastic hinge to obtain the displacement due to rotation at the joint. Shear force resisted by upper/lower flange rivets
was calculated from bending moment applied at the joint of beam
by the following equation.
Longitudinal displacement of flange plate by rivet deformation of
was calculated by the following equation.
where
is the shear stiffness of the FRTP rivet; and
kN/mm, which was obtained from the D1 specimens shown in
Figure 12. Angle of rotation at the joint,
was calculated by the following equation.
Displacements due to rotation at the joint,
and
were calculated by multiplying the angle of beam rotation by the distance from the support point as per the following equations.
On this basis, displacement at the middle of span and the loading point of the specimen was calculated from the sum of the deformation components as per the following equations.
Theoretical displacements obtained by the Equations (13) and (14) are also represented in
Figure 18. They were in good agreement with the displacements obtained by bending test at maximal loading; errors were 1.1% at the middle of span and 2.9% at the loading points. Therefore, displacement at maximal loading could be accurately evaluated by considering displacement due to rotation at the joint in addition to displacement due to bending and shear. Displacement during loading could not be perfectly simulated because the obtained displacement from the bending test increased nonlinearly with the load. However, theoretical displacement at the middle of span could be simulated with 15% error the experimental displacement.