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BY 4.0 license Open Access Published by De Gruyter Open Access December 22, 2023

Mechanical properties of seawater volcanic scoria aggregate concrete-filled circular GFRP and stainless steel tubes under axial compression

  • Ruifeng Nie , Yijie Huang EMAIL logo , Siwei Wang , Fengxue Zhang , Qing Wang and Yukun Zhang

Abstract

In this study, the properties of seawater volcanic scoria aggregate concrete (SVAC)-filled circular stainless steel (SFCST) and glass fibre-reinforced plastic (GFRP) tubes (SFCGT) were investigated. Ten groups were considered and 30 specimens were prepared, including four different parameters: the concrete type (SVAC and ordinary concrete [OC]), outer tube type (GFRP and stainless steel tubes), concrete strength (C30 and C40), and tube thickness (0, 3, and 4 mm). The typical influences of the SVAC and outer tube on the mechanical properties of specimens were then analysed. The research findings show that the strength and ductility of the SFCGT and SFCST are significantly higher than those of plain SVAC. The peak strain and strength enhancement factor of the SFCGT and SFCST increase with an increase in the tube thickness, and the concrete strength has a detrimental impact on the toughness of the specimen. Unlike in the confined OC specimens, a sudden decrease is observed in the stress–strain curves of the SFCGT and SFCST owing to the changes in the deformability of the SVAC. Generally, the strengths of the SFCGT and SFCST specimens are 10.3% lower and 4.1% higher than those of the confined OC specimens, respectively. Finally, analytical models of the strength and stress–strain curves considering the influences of the SVAC and passive confinement were established, and numerical simulations were performed to provide a basis for the practical application of the SFCGT and SFCST.

Nomenclature

A c

cross-sectional area of core concrete

A t

cross-sectional area of outer tube

a, b, c, d

key variables of model

E c

concrete elastic modulus

E s

steel elastic modulus

f c, f cu

prismatic and cubic compressive strengths, respectively

f y

yield strength of steel

K

toughness

N

axial load

N c

peak load of plain concrete specimen

N max

peak load

S t

tube compressive strength of VSCA

t

outer tube thickness

β

lateral deformation factor

γ

VSCA replacement percentage

ε, ε h

axial and hoop strain, respectively

ε c

strain corresponding to prismatic strength of plain concrete

ε cc

peak strain

ε 0.85

strain corresponding to 85% of σ cc after the peak point

λ

strength enhancement factor

μ

deformation enhancement factor

ξ

constraining factor

ρ

dry apparent density of concrete

σ

axial stress

σ cc

strength of specimen

σ max

peak stress

σ 0.2

nominal yield strength when the residual strain of steel reaches 0.2%

φ

Cl content

1 Introduction

The construction of marine islands and reefs has become an urgent issue owing to the implementation of national ocean development strategies [1] and China’s large economic and military needs. However, islands and reefs lack the necessary construction materials such as pebble, river sand (RS), and fresh water [2,3]. The transportation of these materials from the remote mainland is vulnerable to postponement because of several limitations. Therefore, it is critical to develop new environmental-friendly building materials that could be adopted using existing ocean resources [4,5].

There are numerous volcanic islands and islets in the ocean [6,7], which contain large volumes of natural pozzolanic materials such as volcanic scoria, tuff, and pumice [8,9]. These volcanic materials alongside marine materials, such as seawater (SW) and sea sand (SS), can be directly used to obtain eco-friendly concrete.

In seawater volcanic scoria aggregate concrete (SVAC), the coarse aggregates comprises volcanic scoria coarse aggregates (VSCAs), and water and the fine aggregates consist of a mixture of SW and SS [6]. SVAC is an advantageous option for ocean construction because it offers the following advantages: it is a locally available natural material, there are huge deposits of raw materials, and it has a shortened construction period, low carbon footprint, and low cost. However, volcanic scoria aggregates (VSAs) have a vesicular structure, have a low elastic modulus, and are porous and light weight [10,11,12], and SS and SW contain numerous chloride ions (Cl) and sulphates ( SO 4 2 ) [13]. Thus, the properties of SVAC are complex in comparison with those of ordinary concrete (OC) and need to be further investigated.

Generally, the behaviours of concrete changed with the variations in the mix components [14,15]. The mix components of SVAC (VSCA, SW, and SS) are the main causes for its complex properties. The typical effects of VSCA on the properties of concrete were investigated through several experimental, numerical, and theoretical analyses [16]. In general, the lightweight and vesicular structure of VSCA decreases the concrete density, resulting in a lower concrete density compared to that of the OC by approximately 15–30%. Hassan et al. [17] observed that VSAs have a detrimental influence on the workability of concrete, while the workability would be effectively enhanced by preparing VSCA under the saturated-surface dry conditions [18]. VSCA could also be used to develop a series of concrete grades that exhibit sufficient desirable strength and an acceptable durability in the structural range. The test results indicated that after substituting VSCA for gravel, the concrete compressive and tensile strengths approximately decreased by 8.35–40% and 2–30%, respectively [19,20], and the ratio of tensile strength to compressive strength of concrete with VSCA is approximately 0.08–0.11, which is similar to that of OC [21]. However, the increase in concrete strength can reach 50% compared with the strength of OC, where RS was used, when replaced with volcanic scoria fine aggregates (VSFAs). This is because of the desirable particle size distribution and granular properties of VSFA [22]. The elastic and rupture moduli of specimen adopting VSCA are 10–21 GPa and 2.7–4.8 MPa, respectively [23], while the variation in the concrete Poisson’s ratio (0.19–0.21) is negligible. In general, the stress–strain relationship of concrete adopting VSCA under uniaxial compression is similar to that of OC [24,25]; however, several differences can be observed [26]. It has been reported that the curve of volcanic scoria aggregate concrete (VSAC) can be divided into linear elastic (40% of the peak stress [σ max]), quasi-linear, and sudden decrease stages [25]. Furthermore, VSAC exhibits brittle failure compared to OC. SW and SS have serious influences on the properties of concrete, and numerous studies have focused on this aspect. It has been reported that SW decreases the flowability of concrete because of the chemical reaction between the 3CaO·Al2O3 in cement and SO 4 2 in SW [27]; SS with good particle size and acceptable clay content could enhance the workability of concrete [28]. Moreover, SW and SS would improve the strength of concrete owing to their high Cl content [29]. Etxeberria et al. [30] found that the ratio of the 7 day strength to the 28 day strength of concrete using SW and SS is 74–85%, which is higher than that of OC [31,32]. However, the strength developed slowly after 7 days. Furthermore, SW and SS can influence the shape of concrete stress–strain relations [33]. Compared with OC, the deformability of concrete using SW and SS was 13.1% lower on average. This is attributed to the fact that Cl reacts with 3CaO·Al2O3, forming the Friedel’s salt (3CaO·Al2O3·CaCl2·10H2O) [34], which improves the microstructure of concrete [35]. The more the Friedel’s salt content, the denser the concrete microstructure and the inferior the concrete deformation. According to the aforementioned findings, the workability, strength, and durability of concrete with VSCA, SS, and SW meet the basic requirements of construction; however, the deformability and energy-absorption capability of SVAC are inferior to those of OC and need to be enhanced.

A general method for restricting crack growth and improving the ductility and energy-absorption capability of concrete is the adoption of confined concrete [36,37]. The test results indicated that both the deformability and bearing capacity of confined concrete members would be enhanced using passive confinement [38], and the seismic performance of confined concrete structures is also improved [37]. Therefore, the adoption of confined SVAC members, particularly the SFCGT and SVAC-filled circular stainless steel (SFCST), to marine areas is promising because they can effectively improve the strength and ductility of plain SVAC while enhancing its durability under severe conditions. However, the behaviours of confined SVAC members are complex because of the coupled effects of the SW, SS, VSCA, and outer tube, and few investigations have focused on this research field. Ma [39] performed axial compression studies on the mechanical properties of VSAC-filled circular steel tubes and found that the ultimate strain and strength of the VSCA-filled circular steel tube are 9.62 and 2.25 times those of plain VSAC, respectively [40], and its bearing capacity increases with increasing the steel ratio. Dabbagh et al. [25] attempted to recognize the effect of FRP confinement on the monotonic mechanical behaviour of VSAC using an analytical model to obtain the response of VSCA members confined using FRP and revealed that the strength and deformability of the FRP-confined VSCA are significantly improved by increasing the number of FRP layers. Furthermore, Li et al. [41,42,43] studied the compressive behaviours of stainless steel and carbon fibre-reinforced plastic tubular tubes filled with concrete using SW and SS. The test results revealed that the ultimate stress of the SW SS concrete-filled tube increases by 203–486% compared with that of plain concrete, and the SW and SS could slightly influence the key points on the load–deformation curve of the specimen. The curve curvature and declining stage of concrete-filled tubes would change with a variation in the Cl concentration of SW and SS [42]. Furthermore, the outer tube type could also significantly change the performance of confined concrete members. Li et al. [41] observed that the passive confinement caused by a steel tube is slightly inferior to that caused by a glass fibre-reinforced plastic (GFRP) tube, and confinement in the former lasts for a higher deformation. In general, the strength and deformability of a concrete-filled steel tube decreased and increased, respectively, compared to those of a concrete-filled FRP tube under similar conditions. According to the aforementioned analyses, SW, SS, VSCA, and the outer tube affect the mechanical properties of confined SVAC members. However, few studies have considered the coupled effects of SVAC and the outer tube; thus, further test, theoretical analysis, and numerical simulation need to be performed.

Because the study of confined SVAC members is still at its early stages, a systematic analysis of the properties of SFCGT and SFCST is performed in this study. It should be noted that the SFCGT and SFCST are relatively new research fields, and this is reflected in this investigation. Ten groups were considered, and 30 specimens were prepared for study under axial compression considering four different parameters: the concrete type (SVAC and OC), outer tube type (stainless steel and GFRP tubes), concrete strength (C30 and C40), and tube thickness (0, 3, and 4 mm). The coupled effects of the SVAC and outer tube on the mechanical properties of the specimens were systematically analysed. The obtained results provide detailed insights into the confined SVAC members. Furthermore, a numerical simulation analysis using the finite element (FE) method was performed to obtain the mechanical mechanisms of the SFCGT and SFCST. Finally, analytical models that can describe the macromechanical properties of the SFCGT and SFCST were formulated. The findings can be used as a basis for the practical applications of the SFCGT and SFCST and prompt the development of marine construction.

2 Experimental system

2.1 Basic materials

2.1.1 Raw materials

Two types of coarse aggregates were obtained in this study: VSCA and gravel (Figure 1). The VSCAs were derived from Jilin Province, China, and the fine aggregates were RS and SS (Figure 2). The physical properties and chemical components of the coarse and fine aggregates were derived according to standard code [44]. It was found that the Cl content of SS is more than that of RS, and the water absorption of VSCA increases by 1,206% compared to that of gravel (Table 1). Furthermore, SW was used for mixing when preparing SVAC, and the SW was obtained from Jiaozhou Bay. Based on the ion chromatography method [28], the main chemical ions in the SW are as follows: Cl (19,631 μg·L−1), Na+ (16,863 μg·L−1), SO 4 2 (1,926 μg·L−1), Mg2+ (787 μg·L−1), and K+ (878 μg·L−1), respectively.

Figure 1 
                     Coarse aggregates: (a) VSCA and (b) gravel.
Figure 1

Coarse aggregates: (a) VSCA and (b) gravel.

Figure 2 
                     Fine aggregates: (a) RS and (b) SS.
Figure 2

Fine aggregates: (a) RS and (b) SS.

Table 1

Properties of the coarse and fine aggregates

Materials Size (mm) Bulk density (kg·m−3) Apparent density (kg·m−3) Water absorption (%) Clay content (%) Crushing index (%) φ (%) S t (%)
VSCA 5.0–31.5 726 1,656 14.1 25.9 2.80
Gravel 5.0–31.5 1,519 2,568 0.8 8.89
SS 0.15–4.75 2,570 0.78 0.15
RS 0.15–4.75 2,612 2.94

Note: φ and S t are the Cl content of SS and the tube compressive strength of VSCA, respectively.

Two types of tubes were used in this test: stainless steel and GFRP tubes (Figure 3). GFRP was derived from a glass fibre comprising unsaturated polyester resin as the substrate, and the tube was fabricated using the filament-wound process method (the fibre volume fraction is 60%). Moreover, the fibres of the GFRP tube were angled at approximately ±75° on the axial direction of specimen. The length and inner diameter of the GFRP and stainless steel tubes were kept constant, i.e. 525 and 175 mm, respectively, whereas the tube thickness (t) was varied (3 and 4 mm).

Figure 3 
                     Stainless steel and GFRP tubes: (a) stainless steel tube and (b) GFRP tube.
Figure 3

Stainless steel and GFRP tubes: (a) stainless steel tube and (b) GFRP tube.

The properties of the GFRP and stainless steel tubes were tested according to standard code [45,46]. The hoop and axial strengths of the GFRP tubes were 550 and 58 MPa, respectively, and the yield and tensile strengths of the stainless steel tube were 296 and 688 MPa, respectively.

2.1.2 Concrete mix

The target concrete strength grades were C30 and C40, which are commonly used in engineering applications. Two types of concretes were fabricated: OC and SVAC. Generally, the properties of the OC mix components such as gravel and RS were different from those of the SVAC mix components (VSCA and SS). To obtain the same target concrete strength, different mix proportions of OC and SVAC were finally adopted through several preliminary experiments, as listed in Table 2. Furthermore, the cement paste volume (CPV) of SVAC [47] was also calculated to describe the changes of concrete mix (Table 2).

Table 2

Mix proportion and physical properties of concrete

Type Grade SW (kg·m–3) Fresh water (kg·m–3) Cement (kg·m–3) VSCA (kg·m–3) Gravel (kg·m–3) SS (kg·m–3) RS (kg·m–3) f cu (MPa) f c (MPa) E c (GPa) ρ (kg·m–3) CPV (%)
OC C40 185 324.6 1248.8 587.7 50.0 37.1 28.2 2.298 12.74
SVAC C40 248.5 535.0 630.0 840.0 52.9 41.9 21.8 1.936 14.31
C30 248.5 385.0 630.0 840.0 44.4 37.2 18.6 1.892 19.88

Note: ρ represents the dry apparent density of concrete.

The SVAC and OC were fabricated and cured under similar conditions (room temperature: 20 ± 2°C), whereas fresh water and SW were adopted as the curing water for OC and SVAC, respectively. The properties of concrete such as the density and modulus were tested based on related code (Table 2) [48]. It can be observed that under similar cubic compressive strength (f cu) conditions, the density and elastic modulus (E c) of SVAC decreased by 15.5 and 23.2 % compared with those of OC, respectively. This is mainly because of the lightweight and porous structure of the VSCA [23].

2.2 Specimen design and fabrication

2.2.1 Design of specimen

The mechanical behaviours of confined concrete members are significantly affected by the characteristics of concrete (concrete strength and strength) and outer tube (e.g. tube thickness). There were a total of ten groups of the SFCGT and SFCST specimens based on the four different parameters: concrete type (SVAC and OC), outer tube type (stainless steel and GFRP tubes), concrete strength (C30 and C40), and thickness (0, 3, and 4 mm). Each group had three specimens of the same size and comprised the same material. The details of the SFCGT and SFCST specimens are listed in Table 3. The length of the specimens was 525 mm, and the length-to-diameter ratio (L/D) was maintained at approximately 3.0, which could reduce the influences of loading device and L/D on the properties of confined concrete specimen. Furthermore, two groups of plain OC and SVAC specimens, SVAC-C40-T0 and OC-C40-T0, were also fabricated to determine the variations in the confined SVAC specimen properties. It should be noted that the outer tube length and strength could also affect the mechanical properties of specimens. However, the related experimental studies were not performed owing to the limitations of loading device. Further works would focus on this research field.

Table 3

Specimen details

Specimen Concrete type Tube type Grade Tube thickness (mm) Inner diameter (mm) Height (mm)
G-OC-C40-T3 OC GFRP C40 3 175 525
G-SVAC-C40-T3 SVAC GFRP C40 3 175 525
G-SVAC-C40-T4 SVAC GFRP C40 4 175 525
G-SVAC-C30-T3 SVAC GFRP C30 3 175 525
S-OC-C40-T3 OC Steel C40 3 175 525
S-SVAC-C40-T3 SVAC Steel C40 3 175 525
S-SVAC-C40-T4 SVAC Steel C40 4 175 525
S-SVAC-C30-T3 SVAC Steel C30 3 175 525
OC-C40-T0 OC C40 175 525
SVAC-C40-T0 SVAC C40 175 525

These specimens were denoted using the following format: “outer tube type-concrete type-strength-tube thickness.” Taking G-SVAC-C30-T3 as an example, “G” denotes the outer tube type (GFRP tube), “SVAC” represents the concrete type (SVAC), and “C30” and “T3” indicate the concrete strength and thickness of the specimen (C30 and 3 mm, respectively).

2.2.2 Specimen fabrication

The detailed process for the SFCGT and SFCST fabrication was as follows. Firstly, the tube was placed upright on the ground, and a plastic film was used to cover the bottom of the specimen to prevent mortar leakage. Secondly, the outer tube was filled with fresh concrete, and vibration was performed using a poker vibrator. Additionally, polyethylene sheets were used to cover the top surface of the specimen to prevent humidity loss in the fresh concrete during the initial age (24 h). Thirdly, the specimens were cured over 28 days under standard conditions (20 ± 2°C). Finally, the top and bottom of concrete were polished using an angle grinder to make the specimen surface smooth.

The fabrication of SVAC-C40-T0 and OC-C40-T0 (plain concrete specimens) was similar to that of SFCGT and SFCST. A polyvinyl chloride (PVC) tube (height: 525 mm, inner diameter: 175 mm) was used as a mould and filled with concrete; after 28 days, the PVC tube and plain concrete specimens were removed (Figure 4).

Figure 4 
                     Illustration of SFCGT and SFCST specimens: (a) SFCGT and plain concrete specimens and (b) SFCST.
Figure 4

Illustration of SFCGT and SFCST specimens: (a) SFCGT and plain concrete specimens and (b) SFCST.

2.3 Test procedure and setup

The entire testing system was enhanced to obtain the monotonic mechanical curves for the specimens. The testing system for the SFCGT and SFCST specimens consisted of three parts: a 5,000 kN MTS compressive electrohydraulic servo tester, a computer system and strain gauges, and linear variable differential transformers (LVDTs). The details of the testing system are shown in Figure 5. There were eight strain gauges located in the middle of the specimen. Four LVDTs were also positioned at the mid-span of the specimen (325 mm) to record the axial displacement during the test. The responses of the specimens (load and deformation) were then recorded by a computer.

Figure 5 
                  Loading system: (a) experimental setup, (b) strain gauge arrangement, and (c) arrangement of LVDTs.
Figure 5

Loading system: (a) experimental setup, (b) strain gauge arrangement, and (c) arrangement of LVDTs.

The tests were conducted based on the related code [48]. Before loading, a 50 kN axial load was applied to the specimen to ensure the loading system works normally and to reduce stress concentration in the specimen. A mixed loading and displacement program was then adopted for the tests [48]. The load intervals were 10% of the peak load (N max) before 0.6 N max, and the loading rate was maintained at 10 kN·s−1. When the axial load (N) approached 0.6 N max, the displacement loading pattern was adopted with a loading rate of 2 mm·min−1.

3 Experimental results and discussion

3.1 Experimental results

3.1.1 Failure phenomenon and pattern

3.1.1.1 Failure phenomenon

Similar failure phenomena were observed in all SFCGT specimens irrespective of the concrete strength and tube thickness. White patches were first observed on the GFRP tube along the fibre direction when N approached 60–70% of N max, indicating that the fibre began to fracture inside the tube. The fibre destruction and deformation of the specimen increased with increasing N. It was found that the white patches extend to a circle around the GFRP tube at a loading level of 90–100% of N max. After N max, many fibres fractured suddenly and N rapidly declined. Finally, the test was stopped owing to specimen destruction.

For the SFCST specimens, the deformation of the outer tube became visible at a loading level of 0.85–0.9 N max, bulges were formed at the top and bottom ends of the specimen, and a shear slip line was observed in the mid-span of stainless steel tube. Moreover, the deformation and shear slip lines increased with increasing N, and a slight crushing sound was recorded when N approached N max, indicating the destruction of the core concrete. After N max, the axial load of the SFCST decreased with increasing deformation, and the specimens failed owing to the excessive deformation of the tube.

Based on the aforementioned analyses, the influence of the tube type on the failure process and phenomenon is significantly higher compared to that of the core concrete. This is mainly attributed to the passive confinement provided by the outer tube.

3.1.1.2 Failure pattern

The failure patterns varied with the type of concrete and outer tube (Figure 6). It was obtained that the GFRP tube of the SFCGT completely fractured and the core concrete was crushed. Additionally, the ends bulged and a mid-span shear slip line was observed in the SFCST specimens, which is attributed to the properties of steel and the confinement between core concrete and outer tube. However, the failure pattern of the plain SVAC specimen (SVAC-C40-T0) differed from those of the SFCGT and SFCST specimens, the macrocracks crossed the specimen, and no obvious deformation was observed owing to the inferior deformability of the SVAC (Figure 6).

Figure 6 
                        Typical failure patterns in the specimens: (a) SFCGT, (b) SFCST, and (c) SVAC-C40-T0 (left) and OC-C40-T0 (right). Note: The mid-span shear slip lines of SFCST specimen was marked by red line.
Figure 6

Typical failure patterns in the specimens: (a) SFCGT, (b) SFCST, and (c) SVAC-C40-T0 (left) and OC-C40-T0 (right). Note: The mid-span shear slip lines of SFCST specimen was marked by red line.

The SVAC also influenced the failure of the specimen. Compared with gravel, the strength and modulus of VSCA were inferior to those of cement mortar, causing that VSCA could not effectively restrict the propagation of cracks. The main cracks would cross cement mortar, interfacial zones, and VSCA. The coarse aggregates of the SVAC specimens were almost fractured owing to the lightweight and porous structure of the VSCA; however, the gravel in the OC was seldom destroyed. The failure surfaces of the SFCGT and SFCST were smooth compared to that of the specimen using OC (Figure 7).

Figure 7 
                        Destruction of the core concrete: (a) SVAC and (b) OC.
Figure 7

Destruction of the core concrete: (a) SVAC and (b) OC.

3.1.2 Axial stress–strain curve

Axial stress–strain (σε) curves are usually used to characterize the variations in the macromechanical performances of specimens, where the strain ε is the ratio of the axial deformation to the mid-span of specimen. The axial stress (σ) is equal to the ratio of the axial load (N) to the cross-sectional area of the specimen (σ c = N/(A c + A t)). The averaged σε curves of SFCST and SFCGT are displayed in Figure 8.

Figure 8 
                     
                        σ–ε curves of the specimens: (a) SFCGT and (b) SFCST.
Figure 8

σε curves of the specimens: (a) SFCGT and (b) SFCST.

Generally, the σε curves of SFCGT and SFCST were significantly different from those of the plain SVAC specimen (SVAC-C40-T0). Before the peak point, the modulus and curvatures of curves of SFCGT and SFCST specimens increased, and the peak strains and stresses (strengths) of the confined SVAC specimens were 47.3 and 46.7% higher than those of SVAC-C40-T0, respectively.

After the peak point, the decline in the σε curves of the SFCST became smooth, and the deformability and strength of the SFCGT and SFCST were improved owing to the restriction of crack propagation in the core concrete by the passive confinement.

3.2 Analysis of test results

According to the experimental results of the SFCST and SFCGT, a series of key indicators including the σε curves, strength, peak strain, ductility, and lateral deformation coefficient were evaluated to systemically recognize the performance of the confined SVAC specimens.

3.2.1 Typical effects of parameters on σε curves

3.2.1.1 SFCGT

The GFRP tube and core SVAC have significant influences on the shape of the σε curve. Cui [49] and Dabbagha et al. [25] reported that the σε curve of concrete-filled circular FRP tubes can be categorized into two types considering the level of confinement: lightly confined and heavily confined (Figure 9). In this study, the curve of the specimen adopting OC was classified into the heavily confined category, whereas that of the SFCGT was considered in the lightly confined category under the same condition. The σε curve of G-OC-C40-T3 was characterized by a bilinear response in the form of a low stiffness ascending section after the initial branch (Figure 8); however, for the SFCGT specimens, a descending stage was observed after the initial branch of the curve followed by another hardening part (Figure 8). A fluctuation was also observed in the σε curve of the SFCGT and not in the specimen adopting the OC. This is mainly attributed to the inferior deformability and brittle properties of SVAC, which causes the confining pressure to decrease and delays its activation. Furthermore, GFRP is an anisotropic material with low axial strength.

Figure 9 
                        Lightly confined and heavily confined σ–ε curves.
Figure 9

Lightly confined and heavily confined σε curves.

To verify the causes of the decrease in the stress of the SFCGT before the peak point, the lateral deformation factor (β) and axial strain (ε) relations were analysed, as shown in Figure 10. The β (β = ε h/ε) is the hoop strain (ε h)/ε-ratio, which can reflect the degree of changes in the hoop strain and confining pressure. During the early stages of loading (15–20% of the peak stress [approximately 0.3–0.4 f c]), the β of the SFCGT nonlinearly increased compared to that of the specimen adopting OC (Figure 10(b)–(d)), which is attributed to the high shrinkage of SVAC. Beyond this point, β remained stable. When σ approached the end of the initial branch of the SFCGT curve, β drastically increased, and this increase became negligible after the descending stage of curve (Figure 10). This phenomenon indicates that, compared to the specimen adopting OC, the activation of the confining pressure of the SFCGT is delayed, and the changes in the confining pressure and hoop strain are drastic owing to the brittle properties of SVAC. The more delayed the activation of the confining pressure, the more drastic the development of β, and the higher the degree of the changes in the confining pressure and hoop strain. Therefore, after the initial ascending stage in the SFCGT curve, a sharp drop occurred in the stress. However, the next stage of the σε curve had an ascending tendency for the strain-hardening behaviour owing to the rapid increase in the core concrete lateral deformation and passive pressure provided by GFRP tubes.

Figure 10 
                        Typical β–ε relations of the SFCGT: (a) G-OC-C40-T3, (b) G-SVAC-C40-T3, (c) G-SVAC-C40-T4, and (d) G-SVAC-C30-T3.
Figure 10

Typical βε relations of the SFCGT: (a) G-OC-C40-T3, (b) G-SVAC-C40-T3, (c) G-SVAC-C40-T4, and (d) G-SVAC-C30-T3.

Furthermore, the slope of the curve in the hardening and initial stages increased with the GFRP tube thickness (Figure 8). It can be obtained that the larger the thickness, the higher the confining pressure provided by the tube, and the greater the curve slope. The enhancement in the concrete strength accelerated the decline in the SFCGT curve and reduced the curve slope of the hardening stage because high-strength concrete reduces the confinement between the outer tube and core concrete (Figure 10(b) and (d)) [42].

3.2.1.2 SFCST

Compared to SFCGT, the σε curve of the SFCST can be divided into four stages (Figure 8):

  1. An elastic stage where the curve is approximately a straight line;

  2. An elasto-plastic ascending stage in which σ nonlinearly increases with an increase in ε;

  3. A declining stage where σ decreases with increasing ε;

  4. A steady stage in which the variation of σ is negligible and the growth of ε is rapid.

The concrete type has also been found to have an influence on the shape of the σε curve. During the elastic and elasto-plastic ascending stages, the slope and curvature of the specimen adopting OC (S-OC-C40-T3) increased compared to those of SFCST, even under the same strength grade condition, owing to the inferior modulus and deformability of the SVAC. After the peak point, the curve of S-OC-C40-T3 almost became stable and the σ of the SFCST rapidly declined before stabilizing. This is because the σ of SVAC suddenly decreases, and the core concrete lateral deformation is small compared to that of OC when the σ reaches the peak point [7], causing a decrease in the confining pressure provided by the steel tube.

To identify the causes for the decrease in the σ of the SFCST after the peak stress, the development of β is displayed in Figure 11. The β of S-OC-C40-T3 was higher than that of S-SVAC-C40-T3 at the different ε levels, indicating a lower hoop strain and confining pressure of the specimen adopting SVAC. It was also seen that the β-axial strain relations of the SFCST are different from those of the SFCGT (Figure 10) owing to the isotropic properties of steel.

Figure 11 
                        Typical β–ε relations of the SFCST.
Figure 11

Typical βε relations of the SFCST.

Furthermore, the thickness can decrease the influence of the SVAC on the curves of the specimen. The slope of S-SVAC-C40-T4 curve increased and the decline in the curve became gentler compared with that of S-SVAC-C40-T3 because of the high confinement provided by a larger thickness (Figure 11). However, the decline in the curve became steeper as the concrete strength increased, and the higher the strength, the more brittle the concrete and the inferior the deformability of the specimen (Figure 11).

3.2.2 Strength and strength enhancement factor

3.2.2.1 The strength

The strengths (σ cc) of the SFCGT and SFCST are equal to the ratio of the peak load (N max) to the cross-sectional area of the specimen (σ cc = N max/(A c + A t)). Compared with plain SVAC specimens (SVAC-C40-T0), the σ cc of the SFCGT and SFCST is 47.3 and 46.7% higher, respectively (Table 4), and varies with the variations in the characteristics of the outer tube and core concrete.

Table 4

Specimen results

Specimen N max (kN) σ cc (MPa) λ ε cc (×10–3ε) μ K
G-OC-C40-T3 2099.8 82.5 2.83 25.17 11.34 17,411
G-SVAC-C40-T3 1883.3 74.0 1.92 28.20 13.43 18,056
G-SVAC-C40-T4 2099.5 82.5 2.11 34.86 16.60 23,188
G-SVAC-C30-T3 1738.2 68.3 1.86 35.01 13.73 18,387
S-OC-C40-T3 1858.0 73.1 1.55 11.87 5.35 34,090
S-SVAC-C40-T3 1936.0 76.1 1.35 4.47 2.13 3,713
S-SVAC-C40-T4 2078.6 81.7 1.30 4.86 2.31 5,126
S-SVAC-C30-T3 1640.5 64.5 1.18 4.71 1.85 6,134
OC-C40-T0 701.9 29.5 1.00 2.22 1.00 531
SVAC-C40-T0 939.1 39.5 1.00 2.10 1.00 520

Generally, the σ cc of the SFCGT is slightly more than that of the SFCST under similar conditions. Compared to S-SVAC-C40-T3, S-SVAC-C40-T4, and S-SVAC-C30-T3, the σ cc of the G-SVAC-C40-T3, G-SVAC-C40-T4, and G-SVAC-C30-T3 is 1.32, 0.98, and 5.62% higher, respectively, because the GFRP is an anisotropic material with high hoop strength.

The σ cc increased with an increase in the thickness and concrete strength. It can be found that the σ cc of G-SVAC-C40-T4 and S-SVAC-C40-T4 is 10.3 and 10.6% higher than that of the G-SVAC-C40-T3 and S-SVAC-C40-T3, respectively. Therefore, using thick high-strength materials can enhance the σ cc of the specimen.

It should be noted that the σ cc of the SFCGT is 10.29% lower than that of the specimen adopting OC (G-OC-C40-T3), while the σ cc of the SFCST increases by 3.94% compared with that of OC specimen (S-OC-C40-T3). This is attributed to the coupled effects of the tubes and concrete. The microcracking and plastic deformation of the SVAC are inferior to those of OC [6], and decrease the difference between the lateral deformation of the outer tube and that of the core concrete, and reduce passive confinement. Furthermore, the N carried by the GFRP tube is negligible because of its anisotropic properties. Therefore, the lower the confinement, the more inferior the σ cc of the SFCGT; however, steels with isotropic properties can effectively withstand axial loads. Additionally, the reduction in the N carried by the core SVAC was offset by the increase in the N provided by the steel tube, causing an increase in the σ cc of the SFCST specimen. According to Khan et al. [50], the expansion agent can be adopted to improve the passive confinement between GFRP tube and SVAC and enhance σ cc of specimen.

3.2.2.2 Strength enhancement factor

The test results indicate that the bearing capacities of the SFCST and SFCGT are greater than the sum of the bearing capacities of the independently loaded concrete and outer tube owing to the composite action of the confined specimens. Therefore, the strength enhancement factor (λ) was adopted to describe the influences of the outer tube thickness, concrete type, and strength on the composite action of the specimen (Table 4), where λ is expressed using the following equation:

(1) λ = N max N c + f A t ,

where N max and N c are the peak loads of the confined concrete and plain concrete specimens, respectively, and f and A t denote the strength and cross-sectional area of the outer tube, respectively.

Generally, the λ of the SFCGT is, on average, 2.02 (Table 4) and is approximately 35.69% higher than that of the SFCST (1.30). This is because the high passive confinement is provided by the GFRP tubes. Passive confinement can be reflected by the distribution of hoop strains, which were obtained using the hoop strains recorded at different loading levels on the perimeter of the specimens (Figure 12). It can be found that the hoop strain around the circumference of the GFRP tube is higher than that of the stainless steel tube at the same loading level, verifying that a higher confining pressure distribution can be created around the circumference of the core concrete of GFRP tube compared to the steel tube. Moreover, a higher confining pressure results in a better composite action of the specimen and larger λ.

Figure 12 
                        Distribution of the hoop strains over the perimeter of the specimens: (a) G-SVAC-C40-T3, (b) S-SVAC-C40-T3, (c) G-OC-C40-T3, and (d) S-OC-C40-T3.
Figure 12

Distribution of the hoop strains over the perimeter of the specimens: (a) G-SVAC-C40-T3, (b) S-SVAC-C40-T3, (c) G-OC-C40-T3, and (d) S-OC-C40-T3.

It was also observed that the λ of the SFCGT and SFCST increases with increasing thickness owing to the influence of passive confinement. The λ of the G-SVAC-C40-T4 and S-SVAC-C40-T4 is 9.04 and 0.13% higher than that of the G-SVAC-C40-T3 and S-SVAC-C40-T3, respectively, and the hoop strain around the circumference of specimen using OC is larger than that of the specimen using SVAC (Figure 12), resulting in a higher λ in G-OC-C40-T3 and S-OC-C40-T3 by 32.03 and 13.06% compared with that of G-SVAC-C40-T3 and S-SVAC-C40-T3, respectively. The reduction in the composite action of the confined concrete members is mainly attributed to the brittle properties of SVAC and inferior deformation.

Based on the aforementioned test analyses, the ascending order of the influence of the parameters on the σ cc and λ of the confined SVAC members is as follows: concrete strength, thickness, concrete type, and type of outer tube.

3.2.3 Deformability

The deformation properties of the SFCGT and SFCST varied significantly from those of plain concrete. In this study, the peak strain (ε cc) and deformation enhancement factor (μ) were used to investigate the variation in the deformability of the SFCGT and SFCST, which could provide a basis for the practical applications of confined SVAC members.

3.2.3.1 Peak stain

The ε cc is the ratio of the axial displacement corresponding to N max ( cc) to the mid-span length of the specimen (325 mm), which varied with the variation in the characteristics of the outer tube and core concrete.

The peak strain of SVAC-C40-T0 is, on average, 9.16 and 63.54% of the ε cc of the SFCGT and SFCST specimens, respectively (Table 4). However, the ε cc of the SFCGT is higher compared to that of the SFCST under the similar conditions by 85.69%. Additionally, the ε cc of G-SVAC-C40-T3, G-SVAC-C40-T4, and G-SVAC-C30-T3 is 84.15, 86.06, and 86.55% higher than that of S-SVAC-C40-T3, S-SVAC-C40-T4, and S-SVAC-C30-T3, respectively. The related reasons for this phenomenon are as follows. Firstly, the GFRP tube creates a higher confining pressure distribution around the circumference of the core concrete compared with that in the steel tube (Figure 12). Secondly, the modulus of the GFRP tube is lower than that of the steel tube, which enhances the deformation of the SFCGT.

Furthermore, the ε cc increased with increasing thickness and decreasing concrete strength. It can be observed that the ε cc of G-SVAC-C40-T3 (S-SVAC-C40-T3) is 19.12 and 19.51% (7.98 and 5.06%) lower than that of G-SVAC-C40-T4 and G-SVAC-C30-T3 (S-SVAC-C40-T4 and S-SVAC-C30-T3), respectively. The thicker tube and increased microcracking in low-strength concrete could also enhance the confinement and plastic deformation, which would improve the ε cc of the specimen.

The ε cc of the SFCGT (G-SVAC-C40-T3) is 10.74% higher than that of specimen with OC, and that of SFCST (S-SVAC-C40-T3) is 62.36% lower. This is because of the coupled effects of the outer tube and core SVAC. Additionally, the inferior deformability and brittle properties of SVAC cause the confining pressure to decrease, resulting in a possible delay in activation later compared to OC. Therefore, before the peak point, a sharp drop occurs in the stress (Figure 8(a)), and owing to the rapid increase in the core concrete lateral deformation and passive pressure provided by the GFRP tubes, the next portion of the σε curve exhibits a strain-hardening behaviour. The fluctuation in the curve of the SFCGT increased the ε cc of the G-SVAC-C40-T3 compared to that of G-OC-C40-T3.

3.2.3.2 Deformation enhancement factor

The deformation enhancement factor (μ) was used to describe the ductility of the confined concrete specimen (Table 4) and can be obtained using the following equation:

(2) μ = ε 0.85 ε y ,

where ε 0.85 is the axial strain corresponding to 85% of the σ cc after the peak point, and ε y denotes the specimen yield stain, which is calculated using the energy method [2].

Compared with SVAC-C40-T0, the μ of the SFCGT and SFCST is, on average, 42.37 and 63.39% higher, respectively (Table 4). The effect of the stainless steel tube on the μ is also higher than that of the GFRP tube. The test results revealed that the μ of G-SVAC-C40-T3 and G-SVAC-C40-T4 is 2.23 and 2.59, respectively; however, that of S-SVAC-C40-T3 and S-SVAC-C40-T4 is 2.37 and 2.89, respectively. This is because of the desirable elasto-plastic properties of steel tubes.

Furthermore, the μ increased with increasing thickness, whereby a larger thickness increases the passive confinement provided by outer tube, plastic deformation, and μ of the specimen. It was also determined that the μ of G-OC-C40-T3 decreases by 15.56% compared with that of G-SVAC-C40-T3; however, the μ of S-OC-C40-T3 is 78.96% more than that of S-SVAC-C40-T3 owing to the sharp decrease in the stress during the early stages of loading the SFCGT.

3.2.4 Toughness

The toughness (K) denotes the capacity of the material to absorb energy during the loading period. Generally, K is represented by the area under the σε curve of a specimen (Figure 13) [51]. As indicated in Table 4, the K of the plain SVAC specimen (SVAC-C40-T0) is 520.8, which is 2.0% lower than that of the plain OC specimen (OC-C40-T0). However, the K can be significantly enhanced using tube confinement. Therefore, the K values of the SFCGT and SFCST are 38.1 and 9.6 times higher on average compared with those of SVAC-C40-T0.

Figure 13 
                     Area under the σ–ε curve.
Figure 13

Area under the σε curve.

Furthermore, the K increases with increasing thickness owing to the improved confinement conditions. The K values of S-SVAC-C40-T4 and G-SVAC-C40-T4 are 27.6 and 22.1% higher than those of S-SVAC-C40-T3 and G-SVAC-C40-T3, respectively. However, the high-strength concrete has a negative effect on the K. Based on the test results, the K of G-SVAC-C40-T3 is 18056.7 and that of G-SVAC-C30-T3 is 18387.1. This is mainly attributed to the brittle properties and inferior confinement of high-strength concrete. Compared with the specimen adopting OC, the K of the SFCST is approximately 89.1% lower and that of the SFCST is 3.7% higher. Moreover, the fluctuation in the σε curve of the SFCGT before the peak point enhances the K of the specimen.

4 Theoretical analyses of SFCGT and SFCST

4.1 Strength

An analytical strength model is critical for the analysis of structures. Generally, the strength of confined concrete specimens is mainly related to their confinement level and concrete properties [52]. According to Xiao et al. [53], the confinement would change with the variations in the properties of the concrete and tube, causing a difference in the strength of the specimen adopting SVAC and that using OC.

Thus, an analytical formula was suggested based on the experimental data and related results and considering the effects of the SVAC and outer tube [26,42,39]. MATLAB software was employed to code a numerical program for the regression analysis, which was used to study these data and obtain the analytical formula. The specific expression is as follows:

(3) σ pcc = ( 1 0.17 γ ) ( 1.96 + 0.28 ξ ) f c ,

where σ pcc represents the predicted strength of the SFCGT and SFCST, γ is the replacement percentage of VSCA ( 0 γ 100 % ), and ξ ( ξ = f A t / f c A c ) is the constraining factor. Furthermore, Eq. (3) is applicable to the SFCGT and SFCST with 2 ≤ L/D ≤ 3, 0.63 ≤ ξ ≤ 3.25, and 18 ≤ f c ≤ 52.

A comparison between the experimental data and calculated results is presented in Table 5. The strengths of the SFCGT and SFCST were accurately predicted, and related research results [25,40,41,54] were used to verify the application of the theoretical model (Table 5). Consequently, a correlation coefficient greater than 85% and with an acceptable difference was obtained. The suggested model can be applied to the analysis of the SFCGT and SFCST.

Table 5

Comparison of the experimental and calculated results

Specimen f c (MPa) σ cc (MPa) ε cc (×10–3 ε) σ pcc (MPa) ε pcc (×10–3 ε) σ pcc/σ cc ε pcc/ε cc
G-OC-C40-T3 37.1 82.5 25.17 87.4 23.23 1.06 0.92
G-SVAC-C40-T3 41.9 74.0 28.20 74.7 29.19 1.01 1.04
G-SVAC-C40-T4 41.9 82.5 34.86 86.6 37.05 1.05 1.06
G-SVAC-C30-T3 37.2 68.3 35.01 71.7 31.79 1.05 0.91
S-OC-C40-T3 37.1 73.1 118.74 67.9 111.27 0.92 0.94
S-SVAC-C40-T3 41.9 76.1 44.69 73.0 47.16 0.96 1.06
S-SVAC-C40-T4 41.9 81.7 48.60 81.6 48.87 1.00 1.01
S-SVAC-C30-T3 37.2 64.5 47.08 69.9 45.95 1.04 0.98
TB-H1 [59] 55.2 126.1 17.01 136.4 18.94 1.08 1.11
SC-T6 [54] 48.0 85.5 30.22 87.8 25.82 1.03 0.86
SC-T8 [54] 48.0 94.1 34.60 90.2 31.02 0.96 0.90
G165-C [41] 29.8 68.1 26.91 68.6 26.51 1.01 0.99
304-T8C44 [60] 34.0 69.6 12.85 75.7 11.24 1.08 0.88
SC1-C [61] 36.0 71.7 4.10 63.8 4.47 0.89 1.09
SC6-A [61] 42.2 71.1 4.03 72.8 4.64 1.02 1.15
SC2-10-A [62] 39.3 75.1 4.68 73.9 4.92 0.98 1.05
B-3 [40] 18.0 38.3 3.51 38.52 3.86 0.99 0.91
B-5 [40] 18.0 45.3 4.07 48.88 4.01 1.06 1.02

Note: σ pcc and ε pcc denote the calculated strength and peak strain of specimen; ε pcc of concrete filled stainless steel and GFRP tubes is obtained by Eqs. (7) and (13), respectively.

4.2 Stress–strain curve model

The mechanical responses of the SFCGT and SFCST varied with changes in the concrete strength, tube thickness, and types of concrete and outer tubes. Therefore, theoretical stress–strain curve (σε) models were established to macroscopically characterize the variations in the mechanical responses of the specimens.

4.2.1 Theoretical model of SFCGT

The σε curve in the theoretical model of the SFCGT is shown in Figure 14 with a description of the critical parameters, where the relation of the curve is characterized by an analytical formula (Eq. (4)) [42,54]:

(4) σ = ( E 1 ε n f 0 ) e ε ε n + f 0 + E 2 ε 1 e ε ε n ,

where σ (ε) is the stress (strain) of SFCGT; σ cc and ε cc denote the strength and corresponding strain of specimen, respectively; E 1 = E c, in which E c is the elastic modulus of plain concrete; and f o and E 2 are the parameters calculated using Eqs. (5)–(8):

(5) E 2 = σ cc f 0 ε cc ,

(6) f 0 = 0.52 ( 1.92 0.038 γ ) p f c 0.11 f c ,

(7) ε cc = ( 1 + 0.05 γ ) ( 2 + 8.22 ξ ) ε c ,

(8) p = 2 t f D ,

where t, D, and f are the thickness, diameter, and hoop strength of the GFRP tube, respectively; ε n = n ε o , ε o = f o / E c , and n = 1.

Figure 14 
                     
                        σ–ε curve model and related parameters of SFCGT.
Figure 14

σε curve model and related parameters of SFCGT.

The σε curves provided by the theoretical model are shown in Figure 15, along with the real curves for comparison. The differences are small, and the predictions are highly accurate. However, the decrease in the stress following the initial stage in the SFCGT curve is not accurately characterized by the model because the suggested σε relation was obtained using a design-oriented model. This problem can be solved in future using an analysis-oriented model for the SFCGT. However, the theoretical model used in this study can be adopted to obtain the general properties of SFCGT.

Figure 15 
                     Comparison of the experimental and predicted curves: (a) SFCGT and (b) SFCST.
Figure 15

Comparison of the experimental and predicted curves: (a) SFCGT and (b) SFCST.

4.2.2 Theoretical model of SFCST

The σε model of the SFCST was established based on Han et al. [55], Xiao et al. [56], and the test results. The specific expressions are outlined in (Eq. (9a–c)):

(9a) σ = E sc ε , 0 < ε ε scp ,

(9b) ε 2 + a σ 2 + b ε + c σ + d = 0 , ε scp < ε ε scy ,

(9c) σ = σ cc ε ω ( ε ε cc ) 2 + ( 0.0589 λ + 0.074 ) ( ε ε cc ) + ε , ε cc < ε ,

where E sc = f scp / ε scp ; a, b, c, and d are the parameters for the model obtained from the study by Han et al. [55]; and ω , ε scp , f scp , and ε scy are the variables obtained from (Eqs. (10)–(13)) based on the related experimental data:

(10) ω = 0.15 γ p f cu 40 0.53 f cu 1.07 ,

(11) ε scp = ( 2.96 f 2 c 194.9 f c + 4138 ) ξ 0.99 ,

(12) f scp = [ 0.192 ( f y / 235 ) + 0.488 ] σ cc ,

(13) ε cc = ( 3.3 1.9 γ ) [ 1 , 300 + 12.5 f c + ( 600 + 33.3 f c ) ξ 0.2 ] ,

where f cu and f c denote the cubic and prismatic compressive strengths of plain concrete, respectively, ξ represents the constraining factor [38,39], f y is the steel tube yield strength, and γ is the VSCA replacement percentage ( 0 γ 100 % ). A comparison between the calculated and experimental relations is given in Figure 15, where the calculations agree reasonably well with the actual results. Therefore, this theoretical model can be adopted for practical design and analysis.

5 Numerical simulation analysis

Nonlinear FE analyses were undertaken using ABAQUS to study the mechanical properties of the SFCGT and SFCST under various conditions [57]. The nonlinear FE analyses were generally performed in two steps. Firstly, the FE model of the specimen was created, and the properties of the elements were assigned. Subsequently, a numerical simulation of the specimen was performed under different conditions.

5.1 FE types

A general-purpose linear solid brick element, C3D8R, with reduced integration was adopted to model the core concrete. C3D8R can simulate plastic deformation and damage in materials. It is advantageous because it is time-saving and produces results with an acceptable accuracy. According to related literature [57], the Drucker–Prager non-associated flow rule and Lubliner yield criterion were adopted to describe the changes in the concrete stress and strain.

The S4R (4-node, quadrilateral shell element) was then adopted to model the outer tube. S4R considers the effects of the finite membrane strain of the materials and transverse shear deformation in the tube thickness direction. It can be used to perform large-strain analyses; therefore, it is suitable for reflecting the properties of GFRP and stainless steel tubes.

5.2 Material properties

5.2.1 Concrete

The concrete damage plasticity model was adopted in this study, and the theoretical relationship between the SVAC stress–strain curve was proposed based on the study by Huang et al. [6] as follows:

(14) y = δ x + ( 3 2 δ ) x 2 + ( δ 2 ) x 2 0 x < 1 ψ x 1 + ( ψ 2 ) x + x 2 x 1 ,

where y = σ / f c and x = ε / ε c ; f c denotes the SVAC prismatic strength; ε c is the strain corresponding to f c (Eq. (14)); and δ and ψ are the critical parameters considering the coupled effects of VSA and SW [6]. Furthermore, the damage variables corresponding to the tension and compression were obtained based on the stress–strain relation of concrete.

5.2.2 Outer tube

For the GFRP tube, the Hashin failure criterion and elastic constitutive model were adopted because of its brittleness. The circumferential elastic modulus and ultimate tensile strain of GFRP tube were 30.3 GPa and 1.83%, respectively.

Furthermore, a nonlinear elasto-plastic model was suggested for stainless steel tubes, and the stress–strain relation of the steel was obtained as follows:

(15) ε = σ E s + 0.002 σ σ 0.2 s , σ σ 0.2 σ σ 0.2 E 0.2 + ε cu σ σ 0.2 σ u σ 0.2 m + ε 0.2 , σ > σ 0.2 .

where E s is the elastic modulus; σ 0.2 and E 0.2 denote the nominal yield strength and tangent modulus when the residual strain reaches 0.2% [45]; m and s are the key parameters [58]; and e = σ 0.2 / E 0 ; ε 0.2 = σ 0.2 E s + 0.002 .

5.3 FE model of specimen

The process for establishing the FE models of the SFCGT and SFCST was as follows. Firstly, the entities of the outer tube and inner concrete were established. Secondly, these entities were meshed and assigned with material properties and element types. Thirdly, the bottom of the specimen was fixed based on the boundary conditions (the degrees of freedom in the x, y, and z directions of the nodes at the bottom of FE model were all constrained). Fourthly, the simulation specimens adopted the same mixed loading and displacement program as the corresponding testing program. Finally, the performances of the specimens were studied under various conditions.

The FE models of the SFCGT and SFCST are shown in Figure 16, and a comparison between the FE results and experimental ones is given in Figure 17. The related results exhibit a high degree of accuracy. Therefore, the proposed FE model would be adopted to thoroughly study the mechanical properties of the SFCGT and SFCST. The typical effects of the material strength and tube thickness were also analysed.

Figure 16 
                  FE model of the specimen.
Figure 16

FE model of the specimen.

Figure 17 
                  Comparison of the FE and actual results: (a) SFCGT and (b) SFCST.
Figure 17

Comparison of the FE and actual results: (a) SFCGT and (b) SFCST.

5.4 Numerical results of SFCGT and SFCST

5.4.1 Strength and thickness of outer tube

To investigate the variations in the mechanical properties of the specimens with different tube thicknesses and strengths, FE analyses were undertaken and the following research findings were obtained:

The typical influences of the tube strength on the performances of the SFCGT and SFCST are shown in Figure 18. It was observed that the strength and peak strain of specimen increase with increasing tube strength. The strength of the SFCGT adopting GFRP tube with 500 MPa is 31.1% higher than that of specimen using GFRP tube with 400 MPa. This phenomenon is attributed to the confinement between the outer tube and concrete, where the higher the tube strength, the more the passive confining pressure and the greater the strength and peak strain. Generally, the slope of the curve (in the initial stage) of the SFCGT increases, while the curvature of the SFCST curve decreases in the elasto-plastic ascending stage with an increase in the tube strength owing to the improved constraining action of the specimen.

Figure 18 
                     
                        σ–ε curves under different tube strengths: (a) SFCGT and (b) SFCST.
Figure 18

σε curves under different tube strengths: (a) SFCGT and (b) SFCST.

The effects of the tube thickness on the properties of the SFCGT and SFCST were similar to those of the tube strength (Figure 19). Generally, the strength (peak strain) of specimen adopting a 6 mm tube thickness approximately increases by 28.1% (16.2%) compared with that of specimen adopting a 2 mm tube thickness. Therefore, the thicker the tube, the greater the confinement, and the better the strength and deformability. Furthermore, the declining section of the SFCST curve would be significantly improved by increasing the tube thickness, which is attributed to a higher passive confining pressure.

Figure 19 
                     
                        σ–ε curves under different tube thicknesses: (a) SFCGT and (b) SFCST.
Figure 19

σε curves under different tube thicknesses: (a) SFCGT and (b) SFCST.

5.4.2 Concrete strength

Through the analyses of the SFCGT and SFCST with concrete strengths of C40, C50, and C60 (Figure 20), it was found that a decrease in concrete strength can reduce the strength of the specimen. The strength of specimen using C60 is averagely 20.1% more than that of specimen with C40. However, the effects of the concrete strength on the ε cc and ductility of the SFCGT and SFCST are negative. It was further observed that the ε cc of the C60 specimen decreases by 7.8 and 16.1% compared with that of the C50 and C40 specimens, respectively. This is attributed to the inferior deformability of the high-strength concrete.

Figure 20 
                     Typical influence of the concrete strength on the σ–ε curves: (a) SFCGT and (b) SFCST.
Figure 20

Typical influence of the concrete strength on the σε curves: (a) SFCGT and (b) SFCST.

6 Conclusions

In this study, the properties of the SFCGT and SFCST were systemically analysed through experimental, theoretical, and numerical studies. The main conclusions are as follows.

  1. Compared to the specimen using OC, the typical failure pattern of the specimen adopting SVAC slightly varies, i.e. the fracturing of the coarse aggregates. The failure process of the SFCST is also relatively ductile compared with that of the SFCGT owing to the brittleness of the GFRP tube.

  2. The σε curve of the SFCGT and SFCST changes with the variations in the types of concrete and outer tube. A comparison of the σε curves of the OC specimen and SVAC shows a rapid decline in the SVAC’s curve; however, its effect is effectively reduced by increasing tube thickness. The σε curve of the SFCGT is characterized by a descending stage after the initial branch of the curve, followed by another hardening part; and that of the SFCST consists of elastic, elasto-plastic ascending, declining, and steady stages.

  3. The σ cc of the SFCGT and SFCST is, on average, 48.6 and 46.4% higher than that of plain SVAC, respectively, and the σ cc increases with increasing tube thickness and concrete strength. Compared with the specimen adopting OC, the peak strain of SFCGT is higher by 35.2%, while that of SFCST is lower by 63.4%. Through improving the tube thickness, the strength enhancement factor of the SFCGT and SFCST reaches 2.11 and 1.30, respectively. The type of concrete and outer tube could influence the development of the lateral deformation factor of the confined SVAC specimen.

  4. Analytical models of the strengths of the SFCGT and SFCST are established using the test results. The theoretical model of the σε relation considering the influences of core concrete and outer tube is also be obtained, and the mechanical responses of confined SVAC specimens can be accurately predicted using these models.

  5. According to the nonlinear FE simulations, the strength and peak strain of the SFCGT and SFCST increase with increasing tube strength and thickness, and the specimen with high-strength concrete exhibits inferior deformability owing to its brittleness.

Acknowledgments

This work was supported by National Natural Science Foundation of China (No. 51978389, No. 51408346) and introduction and education plan for young innovative talents in colleges and universities of Shandong Province.

  1. Funding information: The authors highly appreciate the financial supports from National Natural Science Foundation of China (No. 51978389, No. 51408346) and introduction and education plan for young innovative talents in college and universities of Shandong Province (Marine Civil Engineering Materials and Structure Innovation Research Team).

  2. Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Conflict of interest: The authors state no conflict of interest.

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Received: 2023-06-27
Revised: 2023-10-13
Accepted: 2023-11-02
Published Online: 2023-12-22

© 2023 the author(s), published by De Gruyter

This work is licensed under the Creative Commons Attribution 4.0 International License.

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