Performance of Two-way RC Slabs Retrofitted by Different Configurations of High Performance Fibre Reinforced Cementitous Composite Strips

3.1. Materials

Five two-way RC slabs with same geometrical dimensions of 1,500 mm long, 1,500 mm wide and 120 mm deep were constructed. All the slabs were made from a conventional concrete mix having average 28-days cylindrical compressive strength of 34.5 MPa. The edges of the slabs represent the contra-flexure lines of an actual two-way slab system. Two-way slabs with low or medium reinforcement ratios tend to fail in flexure rather than in punching shear. For two way slabs that have reinforcement ratios of 1.0% and more, the mode of failure tends to be the punching shear type of failure [30]. Thus, In order to ensure a flexural failure mode in the slabs and highlight the effects of retrofit technique, four of the slabs were designed by a low reinforcement ratio near the minimum steel reinforcement ratio (0.2%) according to ACI 318-99 [31] simulating lightly reinforced or, alternatively, moderately corroded slabs. In these specimens, ten 12 mm steel bars at spacing of 300 mm with an average effective depth of 80 mm provided the flexural reinforcement in two perpendicular directions in one layer near the tension face.

One out of these four specimens remained un-retrofitted to be tested to failure as weak slab and designated Control Slab No.1. The fifth slab specimen having a flexural steel reinforcement ratio twice the other slabs also remained un-retrofitted to reveal the performance of a conventional slab. Its only difference was in the placement of 12 mm steel bars, which was 135 mm, totalling 22 in number, and designated Control Slab No.2. The anchorage of bars was provided by 180 degree hooks at both ends. The general layout of a test specimen and steel reinforcement details are shown in Fig. (1).

According to Naghibdehi and Sharbatdar [17] an HPFRCC mix which exhibits a very ductile with a relatively high tensile strength in its hardened state was chosen for experimental tests in this paper. A volume fraction of 2% hook-ended steel fibres with the ratio of length to diameter (L/D) equal to 47.62 (50 mm long and 1.05 mm diameter) was used, (Fig. 2a). In order to prevent bulking, the steel fibres were gradually added during the mixing process. The distribution of fibers in the HPFRCC mix is presented in Fig. (2b). Also, portland cement (type 42.5R) and Notral N102 super-plasticizer were used in the HPFRCC mix proportion. Tables (1 and 2) present the mix proportions and the mechanical properties of materials used in the specimens.

3.2. NSM-HPFRCC Strips

In order to resolve the problem of debonding and, in some cases, eliminating the need for repairing spalled or delaminated concrete cover before strengthening, and as a result preventing exertion of excessive loads due to strengthening, a novel technique of Near-Surface Mounted (NSM) using HPFRCC was developed. The term “near-surface” is used to distinguish this technique from the case where Externally Bonded Reinforcement (EBR) is utilized. This concept is not completely new, since it was first used in Europe for the strengthening of reinforced concrete structures in the 1940s. This pioneering technique consisted of placing reinforcing bars in grooves located in the concrete cover, after which the grooves were filled with cement mortar [32]. Several experimental tests have indicated the benefits of NSM technique such as: high levels of strengthening efficacy and, when compared with EBR, a significant decrease of the probability of debonding, mechanical actions, effects of aging, increase in the load carrying capacity of RC members, easy to apply and cost effective [33, 34]. While the NSM technique using laminate strips of fibre reinforced polymer has been extensively used as a strengthening strategy for increasing the load-carrying capacity of slabs [35-37], in the present research, HPFRCC strips take the place of FRP laminate strips. The new developed technique is designated NSM-HPFRCC.

3.3. Test Specimens

As mentioned earlier, aiming to evaluate the flexural performance parameters of the retrofitted slabs with HPFRCC strips, three different types of retrofit configurations were developed. The first two types consisted of in-situ cast HPFRCC strips, i.e. wet application technique, in the way that 8 HPFRCC strips were formed in the pre-devised grooves inside the tension face of the slab in type D and 8 HPFRCC strips were cast over the tension face in type E, both in two perpendicular directions. The third type was comprised of 4 in-situ cast HPFRCC strips formed in the pre-devised grooves inside the tension face of the slab in one direction and 4 precast HPFRCC strips attached over the tension face of the slab using an epoxy resin (sikadur 30) in the perpendicular direction, type F. The 4 precast strips, 1500 mm long, 150 mm wide and 30 mm deep, were made as flat strips in different moulds and cured for 28 days before being attached. In total, 8 HPFRCC strips, 4 in each direction placed at 300 mm on the tension face, were applied for each two-way slab, (Fig. 3).

In order to apply HPFRCC over the tension face of the slabs at the age of 7 days, the slabs were cast in a 180 degree rotated position about their in-plane axis, in a manner that the tension face was upward and the reinforcements were placed close to this face. Because of the difficulty in cutting the grooves, they were pre-devised inside the tension face of slabs using 1500x150x30 mm moulds as hollow spaces before concrete casting. Casting HPFRCC in these grooves is a novel NSM technique, designated NSM-HPFRCC, the advantage of which in improving the bond behaviour and flexural performance parameters of retrofitted slabs will be discussed later in the present paper. The specimen fabrication and strengthening procedure of slab type D is illustrated in Fig. (4). The retrofitting operation took place in one stage using a similar HPFRCC mix for all the slabs. After applying HPFRCC, the retrofitted slabs were water cured for 28 days. Some information regarding strip types used for each retrofit configuration are summarized in Table 3.

Here, it must be noted that although, as mentioned above, cutting these grooves may seem to be hard work in the hardened concrete surfaces, in some cases, it is needed to repair spalled or delaminated concrete surfaces before retrofitting, by removing the deteriorated concrete surfaces and filling the gaps with repair materials, (Fig. 5). Therefore, by using HPFRCC as filler, it not only plays the role of repair material, but also can improve the bond behaviour and flexural performance of the repaired member. In fact, the purpose of using them here was to evaluate the effect of filling spalled or delaminated concrete surfaces with HPFRCC materials, in improving the flexural behaviour of deficient slabs by simulating some NSM-HPFRCC strips.

5.1. Load-deflection Curve

Load-deflection response curves of control slabs No.1 and No.2, simulating the behaviour of weak and conventional slabs respectively, and the three other slabs retrofitted with different HPFRCC strips, are shown in Fig. (7). The maximum deflection recorded at the centre of slab at any loading stage was used for plotting the load-deflection curve in this figure, and those referred to hereafter. In general, the load-deflection response curve can be divided into 3 stages: initial stiffness stage, pre-yield stage and post-yield strain hardening stage. Viewing the load-deflection response curves, it is obvious that control slabs behaved similarly in the first stage, but control slab No.2, with a higher ratio of reinforcement (two times) shows a higher value of yield strength followed by a considerable post-yield strain hardening behaviour, which is a common phenomenon of steel in RC members. Again, the response curves of slabs type D and E are identical to control slab No.1 until reinforcement yielding. The effect of their retrofit configurations is more highlighted in the post-yield strain hardening stage where they reached higher values of load-bearing capacity. While slab type E failed in the same ultimate deflection as that of slab No.1, slab type D behaved very ductile until failure and gained the highest ultimate deflection among slabs. On the contrary, slab type F behaved very stiff till yielding which is due to precast HPFRCC strips included in its retrofit configuration.

Tables (4 and 5) summarize some of the test results derived from the load-deflection curves, including loading stages (P_cr, P_y, P_max, P_u) and corresponding deflections (Δ_cr, Δ_y, Δ_max, Δ_u). In these tables, cracking strength (P_cr) which is used to calculate the initial stiffness (K_i) of slab, is a strength at which the first cracks appears, and yield strength (P_y) corresponds to the yielding strain of steel reinforcement bars recorded by the strain gauge mounted at the centre of slab. Also, the values of flexural performance parameters of control and retrofitted slabs are evaluated and listed in Table. 6.

5.2. Failure Modes

Control slab No.1 revealed a ductile failure mode. As the applied load increased, first the reinforcing bar located at the centre of slab yielded, and in consequence the yielding extended gradually towards the edges of slab, causing the formation of some yield lines which ended in slab failure in a pure flexural manner. In contrast, control slab No.2 and retrofitted slabs exhibited a combination of flexural and local shear failures caused by punching of loading plates through slab thickness. Failure took place after significant yielding in the flexural reinforcements where the regions near the loading plates entered into a plastic state followed by slab punching. Fig. (8) shows the crack patterns formed on the tension face of slabs at failure. While debonding of EBR strips over the tension face occurred in slab type E, both slabs type D and F which were retrofitted with NSM-HPFRCC strips and a combination of NSM-HPFRCC plus precast strips respectively, showed no signs of debonding.

5.3. Initial Stiffness

As expected, the initial or pre-cracking stiffness (K_i), which is calculated from the load-deflection curve as the tangent stiffness of the un-cracked stage, of all the retrofitted slabs shows higher value in comparison with that of control slabs. While the cracking deflections of retrofitted slabs (1.47 to 1.54 mm) are about the same as for control slabs (1.48 and 1.50 mm), the increase in the initial stiffness is a result of the increase in the cracking strength, and shows the effect of the HPFRCC strips. The first crack observed at the loads of 36 and 33 kN in control slabs No.1 and No.2, respectively. As mentioned, retrofitted slabs reached higher values of the cracking load ranging from 43 kN in slab type E to 86 kN in slab type F. The higher increase in the cracking load in slab type F, which was retrofitted with both precast and NSM-HFRCC strips, is due to the attached precast strips. This shows the effectiveness of the current configuration in improving cracking behaviour and reducing crack width. The observed behaviour is apparent in Fig. (9a), where the values of initial stiffness are plotted.

5.4. Toughness

Toughness, which reveals the energy absorption capacity of slabs, is evaluated by the area under load-deflection curve. For comparing the effect of different types of HPFRCC strips in increasing the toughness of weak slabs, the values of toughness are calculated and plotted in Fig. (9b). As can be seen, the lowest amount of toughness belongs to control slab No.1, weak slab, which is about 60% less than that of control slab No.2, conventional slab. Slabs retrofitted with configurations type D and F show increases of 84% and 82% in toughness, respectively, which are both higher values than that of conventional slab (60.5% increase). The poorer performance (14% increase) is for the slab retrofitted with configuration type E which can be explained as a result of strip debonding.

5.5. Ultimate Deflection and Ductility

Ductility factor μ, is defined as the ultimate inelastic structural deflection, Δ_u, to the yield strength deflection, Δ_y. Since these slabs are greatly ductile and can reach ultimate inelastic deflection far more than any loading code allowable deflection, the ultimate inelastic deflection of slabs used for calculating ductility factor, corresponds to the strength at which a 20% loss from maximum strength, P_max, is observed. The measured values of the ultimate deflection are plotted in Fig. (10a). As can be seen, slabs types D and F which were retrofitted with NSM-HPFRCC strips have gained the highest increases in the ultimate deflection, 50.9% and 37.6%, respectively. Also, in comparison with that of control slab No.2, these two slabs are more successful, since they present 27.7% and 16.4% increases. As mentioned earlier slab type E failed at the same deflection as of control slab No.1, thus, it shows only 2.6% increase in the ultimate deflection. In consequence, the evaluated values of ductility show the positive effect of the NSM-HPFRCC strips in increasing ductility, even more than that of flexural reinforcement. Slab type E shows an increase of 20.9% in ductility while slabs type D and F present 59.2% and 100.4% increases, respectively. The unexpected higher increase in ductility in slab type F can be explained by viewing its load-deflection response curve, which seems to have two stages of strain hardening. The first stage, which is dominated by the action of precast strips, extends from reinforcement yielding to maximum strength, followed by a strain softening trend towards the deflection of 32 mm. After the occurrence of extensive cracking in the precast strips, cracks extended to the tension face of slab, where in-situ NSM-HPFRCC strips were also positioned in the same level, thus, the second stage of strain hardening starts with a smoother trend ending at the ultimate strength (80% of P_max). In contrast to the previous stage, the strain hardening behaviour in this stage is mainly a result of the NSM-HPFRCC strips, which were positioned in a higher level inside the tension face, and produced a delayed strain hardening action. Similar to toughness, the lowest increase in ductility is for slab type E which encountered strip debonding. Fig. (10b) shows the values of ductility calculated based on the ultimate deflections of different slabs. Again, it is obvious that the proposed retrofit configurations are able to enhance ductility, even more than steel reinforcement in control slab No.2.

5.6. Over-strength Factor and Maximum Strength

The over-strength factor (R), which is a measure of the number of structural redundancies, strain hardening, deflection constraints, retrofit configuration and HPFRCC material properties, is determined from an inelastic response curve and considered as the ratio of maximum and yield strengths of retrofitted two-way RC slabs. Since the slabs were reinforced with the minimum steel reinforcement ratio, the effect of the number of structural redundancies is not very significant in the over-strength factor. This is obvious in control slab No.2, where it shows only 0.6% increase in over-strength factor. Only slab type E (19.8% increase) shows higher value of over-strength factor in comparison with that of control slab No.1, (Fig. 11a). This is due to the higher difference between maximum and yielding strengths, and presents the action of strain hardening in improving the over-strength factor. Unlike ductility and initial stiffness, slab type F possesses the lowest value of over-strength factor among retrofitted slabs. Again, this shows the dominant action of precast strips in the first stage of strain hardening, where they were only positioned in one-way over the tension face of the two-way slab.

The last comparative parameter evaluated for slabs is the increase in maximum strength (P_max), which reflects the effect of different types of HPFRCC strips in increasing the load bearing capacity. As expected, control slab No.2, having a reinforcement ratio two times that of other slabs, presented the highest increase in maximum strength (47% increase) and among the retrofitted slabs, the highest increase is for slab type F, 25.3%. Fig. (11b) shows the values of maximum strength for control and retrofitted slabs.