1. Introduction
Reinforced concrete (RC) structures realized during the 1960s and 1970s represent a considerable portion of the existing building stock and their obsolescence in terms of design, materials, and functionality has become a critical issue in recent years [
1,
2]. These existing RC structures, generally designed in accordance with past design codes, may suffer severe damage as a consequence of the occurrence of seismic events due to insufficient shear or flexural strength or low ductility, resulting in premature failures [
3,
4,
5,
6]. In addition to such a dramatically well-known issue, the problem of durability, consisting in the degradation over time of initial/design mechanical properties, nowadays afflicts a large number of existing RC members [
7,
8].
Within such a framework, strengthening and repairing of RC members, particularly columns, is currently considered as one of the main challenges in the field of civil engineering. One of the most popular solutions is based on external jacketing of the existing RC structural element, which ensures considerable improvement of the mechanical performances, if well-designed [
9]. Traditional external jackets are made of RC or steel, but several technical and practical inconveniences have been detected over time, such as an increase of the inertial mass of the whole structure or the difficulty in placing the supplementary steel reinforcement [
10,
11]. Recently, lightweight and more manageable strengthening systems based on the use of fiber-reinforced polymers (FRPs) have been largely adopted in the field of seismic retrofit of existing RC members [
12]. Nevertheless, they are characterized by significant limits in terms of fire resistance and reduced contribution to the lateral stiffness of structures [
13,
14].
During the last two decades, a new jacketing system based on the use of high-performance fiber-reinforced concrete (HPFRC) has been introduced for the strengthening of existing RC members, namely beams, columns, and beam-column joints ([
15,
16,
17,
18,
19,
20], among others), proving to be a valuable retrofit solution. Basically, a fiber-reinforced concrete (FRC) is a composite material made of concrete, which acts as matrix, and discontinuous short structural fibers (e.g., steel, carbon etc.) that are randomly mixed, which represent the intrinsic mechanical reinforcement. The concrete and fibers work together by means of the bond mechanism acting at the interface between the two different materials. In addition to a significantly improved compressive strength, FRC is typically classified in two different typologies, depending on its constitutive tensile response: strain-softening and strain-hardening. In the first case, cracking is strongly localized and tensile stress beyond the first cracking tends to reduce. Conversely, in the second case, cracks are distributed, and stress increases after the first cracking [
21]. The FRC characterized by strain hardening is considered as “high-performance” (HPFRC) due to its improved ductility properties under traction loads. When applied as a jacketing system onto existing columns, the HPFRC is casted to enclose the existing RC member, the latter being deprived beforehand of the concrete cover. Such a system, from a mechanical point of view, enhances the properties of the strengthened RC members in terms of both the compressive and tensile strain/strength, mainly due to the limitation of cracks’ openings because of the localized and so-called bridging effect activated by the steel fibers [
22,
23]. Furthermore, it has practical potential to avoid supplementary steel reinforcement installation, reduce the jacket thickness, and provide adequate fire resistance. Additionally, in terms of durability, HPFRCs (as an alternative to normal concrete) have demonstrated a remarkable ability to resist weathering conditions, chemical attack, and abrasion while maintaining their desired engineering properties [
24]. This is related to a reduced number of voids of the HPFRC microstructure, which avoids the access of liquid or gas that could potentially activate degradation processes. Based on these beneficial aspects, recent studies reported that the HPFRC jacket is able to provide structural benefits to RC members regarding the load carrying capacity and energy dissipation, with a partial increase in lateral stiffness, hence improving the global structural performance of retrofitted buildings [
18].
Currently, despite the above-reported promising aspects of HPFRC jacketing, a comprehensive and systematic technical framework is still missing, limiting its spread as a valuable retrofitting technique. Indeed, so far, either the experimental or numerical scientific literature appears to not be robust enough for its large-scale implementation, with relatively few test programs carried out [
15,
16,
17,
18,
19,
25,
26,
27,
28] and rather complex numerical models proposed, which are mainly research oriented [
29,
30,
31,
32]. Furthermore, all the available research studies have investigated the flexure-shear capacity of HPFRC-strengthened RC members, under cyclic and monotonic loading, and none of them have dealt with the ultimate axial load capacity or bending uncoupled from shear. In addition, the main structural codes of practice [
33,
34,
35,
36,
37] do not provide specific rules for the design of HPFRC jacketing of existing columns. Therefore, practitioners involved in seismic retrofitting may simply rely on only two design guidelines [
38,
39], which, however, are rigorously referred to in the design of structural members entirely made of FRC.
The present study aims to contribute to the above-mentioned research need and investigates the mechanical behavior of HPFRC-strengthened RC columns. Specifically, the study focuses on the structural performance under pure axial load and combined axial load-bending moment uncoupled from shear, and it is based on a specific experimental campaign. In the following sections, firstly, (i) the materials and specimens are described; then, (ii) the global and local experimental results are discussed along with the damage states and failure modes; and finally, (iii) a standard-based practice-oriented analytical procedure is proposed and its effectiveness in predicting the recorded strength is discussed.
3. Results
Extensive testing outcomes in terms of both global and local measures were recorded via the above-described monitoring system along with the observed cracking evolution. The main experimental outcomes are described and analyzed in the following sections, first focusing on the numerical results, and then on the recorded damage states.
3.1. Mechanical Behavior
The recorded experimental response of either the reference RC or HPFRC jacketed columns is reported in terms of force vs. axial displacement (F-d) curves in
Figure 6. Specifically,
Figure 6a shows the comparison between non-strengthened and jacketed specimens (i.e., U1 and S1) under pure compression load, whereas in
Figure 6b, the effect of load eccentricity on the mechanical behavior is highlighted by means of the F-d curves of the strengthened columns S1, S2, and S3. The reported graphs are truncated, corresponding to a 20% strength reduction beyond the peak value, assumed as the conventional ultimate state, and the residual response is shown as a dashed line. The relevant response parameters are summarized in
Table 4 in terms of the recorded axial load peak (F
max), displacement in the peak (d
p) and ultimate (d
u) conditions, axial stiffness (K
p) (assumed as secant at the peak) and dissipated energy (E
d), given as the area underneath the F-d curves up to the 20% strength drop.
The control non-strengthened specimen U1, tested in the pure compression regime, showed an initial pseudo-linear elastic branch followed by a pronounced non-linear part starting from 500 kN, with a gradual reduction of the stiffness corresponding to cracking evolution up to the load peak (Fmax) value equal to 737 kN and 8.9 mm displacement at the peak (dp). Beyond the peak, a steep softening was recorded until failure was reached, with a sub-vertical drop in strength corresponding to a displacement of 12.2 mm due to the combination of steel reinforcement buckling and concrete crushing occurring at similar strain levels of about 0.2%. A substantially higher compressive strength value was reached, as expected, by the HPFRC jacketed specimen S1 (under the same load condition, i.e., pure compression), equal to 3265 kN corresponding to a displacement value of 6.8 mm, lower than the non-strengthened column. The F-d curve was characterized by a first elastic branch until the 3200 kN load was reached. Then, a sudden drop of the stiffness was observed, corresponding to the cracking occurrence in the HPFRC external part, and, subsequently, the peak load was reached. The mechanical post-peak response developed along a gradual softening branch until the inner original concrete core was completely crushed. Then, a steeper reduction of the bearing capacity was detected since the fiber bridging action was no longer effective due to the wider crack openings. By comparing the results of such specimens (i.e., U1 and S1), it is worth noting that the strengthened column showed a very improved performance in terms of both the strength and stiffness, with an increase equal to approximately 4.4 and 5.8 times, respectively, compared to the as-built RC member. As confirmation, by computing the energy (Ed) dissipated by the specimens U1 and S1, the latter dissipated an amount of energy almost 10 times greater than the non-strengthened one (4000 J against 46,900 J).
The experimental F-d diagrams of the specimens S2 and S3, tested under combined axial and bending loads (e = 20 mm and e = 65 mm, respectively), were characterized by a similar trend with respect to specimen S1, except the sudden drop of the post-peak softening slope. In fact, a gradual softening branch was observed until complete failure of the specimens occurred. For specimens S2 and S3, a reduction of the strength performance was recorded with respect to the simply compressed specimen S1 due to the different stress/strain distribution induced on the cross-section. In fact, load peak values equal to 2818 and 2652 kN were reached for the S2 and S3 specimens, respectively, whereas almost similar values of axial displacement at the peak were recorded, specifically 7.1- and 6.6-mm. Dissipated energy (Ed) values equal to 45,700 and 25,300 J for specimens S2 and S3 revealed a considerable reduction in the dissipation capacity when the cross-section was not fully compressed (i.e., with load eccentricity e = 20 mm).
In order to assess the efficiency of the HPFRC jacketing technique in comparison with the RC (as-built) specimen, firstly, the axial force–bending moment (P-M) interaction diagram was computed for the non-strengthened specimen. Then, the P-M values were determined analytically for the jacketed columns. Finally, the P-M values derived for the eccentricities of interest (i.e., e = 20 mm and e = 65 mm) were compared with the corresponding experimental outcomes. Such a hybrid comparison was due to the sake of convenience in order to avoid testing the well-known response of the as-built RC members for which P-M curve validation is broadly recognized [
47].
The P-M domain of the non-strengthened column was computed under the classic RC simplified assumptions, including the ultimate limit state of planarity of the cross-sections, tensile strength of the concrete equal to zero, and a perfect steel-concrete bond. As constitutive laws of the materials, standard-based models of stress-block and elastic-plastic envelopes were assumed for concrete and steel, respectively [
33]. The outcomes are graphically reported in
Figure 7a for the positive quadrant of the P-M domain. Notice that the experimental axial capacity (F
max) of the specimen U1 was numerically predicted with negligible approximation (error equal to 0.9%, with 744 kN predicted vs. 737 kN recorded). By assuming that the three experimental points (P-M) lie on a HPFRC strengthening envelope, the strength improvement of the column subjected to eccentric compressive load was determined in terms of the gain factor (g
f), computed according to Equation (1), the meaning of which is schematically depicted in
Figure 7b. In Equation (1), the coordinates (P
Ui, M
Ui) and (P
Si, M
Si) are given by the axial load and ultimate bending moment values of the non-strengthened and strengthened columns, respectively, characterized by the same eccentricity. The g
f values are summarized in
Table 4.
The gf values obtained for specimens S2 and S3, respectively, were equal to 4.8 and 6.5, which are larger with respect to the pure compression case (i.e., specimen S1). Such experimental findings, namely the improvement of the mechanical performances (i.e., strength, stiffness, and dissipated energy), were consistent with the strengthening system typology. In fact, the external HPFRC layer was characterized by high compression strength and bridging action of the steel fibers in the presence of tensile stress. Furthermore, the HPFRC jacket delayed the activation of the failure mechanism of the non-strengthened columns, characterized by the combination of compressive steel bar buckling and concrete crushing.
3.2. Damage and Failure Modes
In light of the mechanical response described in detail in the previous section, a report focused on the specimens’ damage evolution and failure modes is presented herein. The non-strengthened specimen U1 failed because of the combination of steel reinforcement buckling and concrete crushing. The damage state was characterized by pseudo-vertical cracks appearing on the external surface of the specimen starting from about the 500 kN load. The cracks’ width increased with the applied displacement, particularly in the central part of the specimen, where the concrete cover firstly spalled-out. Severe crushing of the concrete core was observed in the peak load condition. Damage dramatically evolved until ultimate failure occurred at a compressive strain level higher than 0.29%, when the vertical displacement reached 12.1 mm. The final damage state for specimen U1 is reported in
Figure 8a.
The failure mode of all HPFRC strengthened columns, tested either under uniaxial or eccentric load, was similar and due to the compressive failure of the HPFRC layer. The damage state evolution developed in a distinct fashion among the S-specimens. For the column S1, the first cracks appeared on the external surface for a vertical load of about 3100 kN. These cracks were mainly located toward the member’s ends, in contrast with the specimen U1, due to local interaction phenomena triggered by the transverse expansion of the concrete core. Subsequently, these cracks suddenly increased their width, and the peak load condition was reached. Then, during the post-peak phase, the principal vertical crack developed at the base of the specimen along the lateral core–jacket interface, and critically enlarged until the failure condition was reached, corresponding to a vertical displacement of 12.8 mm. A detailed view of the base crack is shown in
Figure 8b.
Specimen S2 showed a damage evolution very similar to the previous one. Indeed, also in this case, the first noticeable vertical cracks appeared for load values close to the peak, specifically about 2700 kN, on both the side surface and on the more compressed edge of the columns. The softening branch was mainly governed by the gradual opening of the main crack located next to the top end of the specimen, whose detail is reported in
Figure 9a. Such a crack also intersected the corbel, which resulted in damage at the end of the test. Specific damage development was observed for the specimen S3 (see
Figure 9b), subjected to vertical load in a large eccentricity value. As confirmed by the longitudinal LVDT measurements of the HPFRC surfaces under tension and compression, the neutral axis in this case was found to be within the cross-section. Therefore, the resulting tension-compression stress state produced horizontal tensile cracks within the HPFRC layer that developed in an almost regular manner (see crack paths highlighted in red in the figure) along the overall length of the column. These cracks were approximately 2 mm wide (onto the external surface) in correspondence with the peak load.
One of the aspects that is investigated regarding the damage state of the core-jacket system is related to potential slip between the two components. Unfortunately, such analysis could not be performed by immediate visual inspection because the bond was well preserved even after major damage, as can be observed from a representative interface piece that was removed from the column (post-mortem) and is shown in
Figure 10. Therefore, for one of the tests carried out, specifically for specimen S2, thermal imaging was carried out, with the aim of identifying any crack along the core/jacket surface.
Figure 11 shows the details of two thermographic images captured on the internal and external compressed sides. The thermography did not reveal any internal slip. Indeed, only cracks on the external jacket surface were confirmed; therefore, no debonding between the HPFRC jacketing layer and inner RC was detected.
3.3. Local-to-Global Response
The deformation measured by the local monitoring LVDT system described in
Section 2.3 was analyzed, aiming to deeply investigate the effect of the HPFRC jacket on the mechanical response of the RC specimens. The longitudinal (axial) deformation (ε
l) of each specimen was computed as the average value recorded by the vertical LVDTs (V1–V4) normalized to the initial base-length (equal to 25 cm).
With reference to the specimens U1 and S1, the non-strengthened and jacketed columns tested under pure compressive loading force versus longitudinal deformation (F-ε
l) curves are shown in
Figure 12. Plots are reported until deformation measures from LVDTs can be considered reliable, namely until loss of instrumentation occurred due to damage development. Accordingly, for the specimen U1, the F-ε
l curve is arrested in the incipient peak load condition, whereas, for the specimen S1, LVDTs were lost shortly beyond the peak load.
Figure 12 shows that the maximum recorded force was reached by the specimen U1 at an ε
l slightly larger than 0.29%. Conversely, the peak load was achieved by the strengthened column U1 for a value deformation equal to 0.17%, which was considerably lower. Such a finding suggests that under compressive axial load, if large compressive strains are internally reached, the interaction between the concrete core and the HPFRC jacket cannot be considered as fully effective.
This is confirmed by the theoretical prediction of the compression capacity. Indeed, by assuming a uniform response of the cross-section among the two materials, i.e., both RC and HPFRC fully effective, the predicted compression strength (F
max,t) can be simply computed according to Equation (2), where A
c,u and A
c are the unreinforced and HPFRC cross-section areas, and f
c,u and f
c are the core concrete and HPFRC compressive strength values, respectively (given in
Section 2.2). Notice that for the sake of convenience, the contribution of steel bars in the core was neglected:
The value of F
max,t provided by Equation (2) is equal to 6721.6 kN, approximately twice the recorded peak load Fmax. The observed reduced performance of the HPFRC jacketed columns with respect to the theoretically predicted value (in terms of the compressive strength capacity) was due to the inaccurate assumption of the simple analytical model considered. In fact, due to vertical compression loading and for larger compression strains, the inner concrete core is subjected to considerable transverse expansion, which is constrained by the HPFRC jacket layer. Particularly, when the overall longitudinal deformation (ε
l) of the original core reached values larger than 0.15%, the concrete was severely cracked and showed spalling-out due to non-linear deformations. As a result, the external jacket was subjected to a biaxial stress state characterized by transverse (σ
t) stress in addition to longitudinal compressive stress (σ
l), causing tension in the outer portion and, therefore, early cracking once tensile strength was reached. In
Figure 13, such a phenomenon is schematically depicted with reference to the half part of a HPFRC elementary block, with reference to the pure compression load case.
A further confirmation of such a phenomenon is given by the results related to the jacketed specimens S2 and S3 subjected to the eccentric compressive load given in
Figure 14 in terms of the longitudinal concrete strain versus the vertical displacement (ε
l-d). In these cases, the strain ε
l was obtained as the average measure recorded by the LVDTs installed on the more compressed edge of the cross-section (namely, V3–V4) and the plots are again reported until the deformation measures from LVDTs can be considered reliable.
For the specimen S2, the strain εl increased with the applied displacement until a value of 0.18% was reached on the more compressed edge at about 7 mm of shortening (d), close to the peak load condition, when severe damage was observed. Beyond such a displacement, this value was kept constant until the monitoring instrumentation was interrupted due to the major cracks becoming wider. Conversely, higher maximum strain εl was measured for the specimen S3, which was equal to 0.25%, corresponding to a global displacement of about 6.5 mm, namely in the peak load condition. Subsequently, a drop of εl was observed, probably due to stress/strain redistribution. These results are in agreement with the proposed interpretation model, according to which the influence of transverse stress on the HPFRC strengthening performance depends on the level of compression experienced over the resisting area generated by a given load value. Thus, the transverse stress (σt) associated with the inner concrete expansion and the subsequent transverse dilatation of the concrete is less significant for the specimen S3 for which, due to the higher eccentricity of the applied load, the compression level and the depth of the compressed zone on the cross-section are lower. On the contrary, for the specimen S2, an intermediate case (between S1 and S3) in terms of the compressed area is reached.
4. Analytical Interpretation
As already mentioned in the Introduction section of this paper, currently, a practitioner working on the design of a retrofit intervention by means of HPFRC jacketing of existing RC columns cannot rely on specific provisions given by the main structural standards. As a matter of fact, with particular reference to the case of interest of the combined axial load and bending moment, specific design formulations and instructions are available within only two technical guidelines [
38,
39]; however, these are relevant only for the design of (whole) normal or high-performance fiber-reinforced concrete (FRC) members. Therefore, no specific formulation for the use of HPFRC as a jacketing system of existing RC members is suggested, despite several research studies highlighting distinctive issues potentially affecting the failure modes, and thus the ultimate capacity of HPFRC strengthened members (such as the debonding at the jacket/core interface) [
19]. In this regard, a specific simplified analytical approach for determining axial force–bending moment (P-M) capacity diagrams is herein proposed. The prediction effectiveness is assessed by analytical-to-experimental strength comparison.
The CNR and FIB technical guidelines for the design of full-FRC members [
38,
39], i.e., structural elements entirely made of FRC, suggest very similar approaches for the ultimate limit state (ULS) verification under combined axial force–bending moment (P-M). Accordingly, the fundamental hypotheses at ULS are: (i) plane sections remain in plane (yielding linear strain distribution) and (ii) there is a perfect bond between the rebars and the surrounding FRC. For the jacketing case investigated in this study, a perfect bond is assumed at the core–jacket interface, since such a condition is obtained by means of a proper connection characterized by high superficial roughness [
48]. The simplified approach is based on the evaluation of internal forces starting from the stress distribution on the cross-section through equilibrium equations. Therefore, constitutive laws of all the constituent materials are needed. As reported in the CNR guideline [
38], the compressive behavior of FRC can be assumed to be equal to that of ordinary concrete of a high strength class since, in the cases investigated, the presence of fibers does not have a significant effect on the overall shape of the constitutive (σ-ε) diagram; thus, in accordance with the Eurocode 2 [
33], a simplified rectangular stress–strain (σ-ε) relationship at ULS is adopted (stress-block) at failure for both the compressed core and jacket concrete of cross-sections subjected to bending moment. Moreover, due to the absence of steel reinforcement in the FRC jacket and the very low transverse reinforcement amount in the concrete core, no confinement effect on the latter is assumed [
49]. A symmetric elastic perfectly plastic relationship is assigned to core steel bars [
33].
As for the tensile σ-ε response of HPFRC, experimental evidence shows that it generally consists of: (i) a first ascending elastic branch until the first crack forms, (ii) a sudden strength drop, and (iii) a third softening phase until zero stress is reached for large axial strain (ε) values, typically higher than 0.04, which correspond to complete fiber pull-out from the concrete matrix. Accordingly, several multi-linear constitutive laws are available for FRC in the literature [
23,
50,
51,
52,
53], but these models are strongly dependent on the empirical results on which they are based. Herein, in order to develop a practice-oriented code-based procedure, the elastic-plastic material model suggested by the CNR guideline [
38] is applied (see
Figure 15).
Such a model requires the execution of the standard bending tests established in [
54] to determine the serviceability (f
Fts) and ultimate (f
Ftu) residual strength values according to Equations (3) and (4), wherein, f
eq1 and f
eq2 are the post-cracking equivalent strength in the service and ultimate conditions, respectively; and w
u and w
i2 are the ultimate crack opening and the mean crack width corresponding to f
eq2. The serviceability (ε
Fts) and ultimate (ε
Ftu) deformation limits are assumed to be equal to 0.15% and 1% [
23,
38]. In tune with the fiber content (V
f), a slight hardening characterizes the flexure-induced tensile behavior of the adopted HPFRC material. Accordingly, f
Fts and f
Ftu are equal to 6.0 and 9.3 MPa, respectively:
Designed P-M curves may be obtained according to a simplified approach based on the definition of notable failure conditions generated by specific loading conditions applied to the strengthened RC column. From these conditions, the corresponding P-M values are computed starting from the assumed strain distributions (derived from the corresponding constitutive laws of each component of the cross-section). Finally, the points of the coordinates (P, M) are fitted to obtain a resisting domain associated with the structural element considered. In this regard, and as a classical approach for normal concrete in structural engineering, we preliminarily assume that the failure of the HPFRC jacketed column subjected to axial and/or bending loads may be attributed to two distinct phenomena: (i) attainment of the maximum compressive strain (ε
cu) in the HPFRC jacket, and (ii) attainment of the maximum tensile strain (ε
sy) in the steel rebars. Therefore, different strain distributions at failure can be derived as schematically depicted in
Figure 16.
Pure compression failure (condition A) occurs when the axial load (P
A) is such that the concrete core, jacket, and steel reinforcement reach their ultimate compressive strength, according to Equation (5), wherein, A
s,uc is the total cross-sectional area of the steel bars in the concrete core, whereas all the remaining symbols were previously defined. Longitudinal compressive deformation (ε
c0) is uniformly distributed over the cross-section and is equal to 0.2% [
33]:
The so-called balanced failure (condition B) is obtained when simultaneously tensile steel yields and compressed HPFRC crushes. Accordingly, a linear strain distribution is assumed on the cross-section identified by: (i) the ultimate value of the compressive strain (ε
cu) at the most compressed edge for the HPFRC and (ii) the yielding strain (ε
sy) in the tensile steel longitudinal bars. Therefore, with reference to
Figure 17, the neutral axis depth (x
B) is simply derived from linearity considerations through Equation (6), wherein the ultimate value of the HPFRC compressive strain (ε
cu) is assumed to be equal to 0.35% [
33] and the steel yielding strain is 0.21% (ε
sy):
At this point, assuming the strain and stress distributions shown in
Figure 17, the internal forces can be simply evaluated. Then, the axial load (P) is obtained from the longitudinal forces equilibrium equation reported in Equation (7) and the corresponding bending moment (M) as a result of the equilibrium to rotation about the
x-axis by Equation (8). In Equations (7) and (8), the stress-block coefficients λ and η are computed according to Eurocode 2 [
33], whereas the terms y and y
1 are derived through triangle similarity starting from the deformation distribution (see
Figure 17):
The pure bending condition (C) is characterized by an axial load (P) equal to zero and a bending-moment value lower than the balanced one. In such a case, the steel in tension is considered to have yielded (εs = εsy), whereas the deformation in the compressed steel and the concrete top-edge is obtained through congruence. Then, all the internal forces can be conveniently computed, and the neutral axis depth (xC) is derived by assuming P = 0 in Equation (7). Then, the ultimate value of the bending moment (M) is derived from Equation (8), after checking the deformation congruence.
Pure tension failure (condition D) is realized under pure tensile load for which all materials reach their tensile strength. When the steel reinforcement yields, the HPFRC jacket gives its traction contribution whereas the inner concrete core is completely neglected (as is commonly assumed at the ultimate limit state for traditional RC structures). No bending action acts on the cross-section by definition and the axial load capacity (P
D) is given by Equation (9):
It is worth noting that the P-M analytical derivation described above is based on classical considerations about the failure modes of concrete, specifically referred to the attainment of the maximum compression capacity in either the HPFRC jacket or inner concrete. However, based on the experimental outcomes, we also propose a different and simplified analytical derivation in order to take into account the reduction of compressive strength in the HPFRC jacket due to the mechanism highlighted in
Figure 13. For this scope, in the following discussion, we firstly compare the classical P-M model with the experimental results obtained. Then, the major improvements of the model are presented, and a new comparison is performed.
Figure 18a shows the comparison between the P-M envelope, obtained by applying the classical analytical procedure to the tested column prototype described in
Section 2.1, and the experimental results recorded for the specimens S1, S2, and S3. The resulting analytical P-M envelope gives an adequate prediction of the ultimate capacity of the specimen S3, with a slight overestimation in terms of the ultimate moment (M) equal to 4%. Conversely, as expected, for the specimens S1 and S2, a critical not-conservative estimate of the experimental values is obtained. In fact, under the compression-governed stress states, the HPFRC jacket is affected by the detrimental effect of the transverse stress generated by the inner concrete core dilatation (see
Section 3.3 for a detailed discussion). This effect is not considered by the adopted classical calculation model even if it is able to strongly reduce the jacket’s compressive strength capacity. The magnitude of such a reduction is phenomenologically related to the level of compression acting on the jacketed cross-section, i.e., the neutral axis depth and axial load value, as well as on the thickness and mechanical properties of the HPFRC employed. Since no robust and comprehensive enough experimental results are available, within the proposed calculation procedure, such a reduction effect is accounted for in a simplified and indirect manner by introducing a numerical coefficient (β), which reduces the effectiveness of the HPFRC jacket. β ranges from 0.6 to 1 depending on the neutral-axis position. The minimum value of β is assumed if the neutral-axis is between infinity (pure compression loading condition) and the cross-section depth (H), whereas β is equal to 1 if the neutral-axis crosses the cross-section above the centerline. Accordingly, Equation (5) is modified as shown in Equation (10), wherein A = B∙H and β is assumed to be equal to 0.6, whereas the remaining formulations are not changed since β is equal to one:
The P-M envelope obtained by applying Equation (10) is shown in
Figure 18b. In this case, the experimental capacity P-M values are predicted with negligible approximation for the specimens S2 and S3, lower than 2%, whereas a conservative prediction is obtained for the specimen S3. This result indicates the importance of investigating the failure mechanisms in the combination of HPFRC and normal (existing) reinforced concrete. Within the limitation of the experimental cases investigated, the available modeling strategies for determining the strength capacity of the jacketed column appear limited, especially for high compression load levels. The use of a reduction factor related to the extent or intensity of the compression acting on the resisting jacketed cross-section might represent a useful tool to incorporate the detrimental effect of the inner concrete core that dilatates at large compressive strains. However, more in-depth experimental investigations are needed to determine the dependency of such a factor from different loading conditions.
5. Conclusions
In this study, a novel strengthening technique applied to existing RC columns was investigated. The technique employs an external jacketing layer made of HPFRC that replaces the existing concrete cover and increases the overall dimensions of the existing column section. The experimental program was carried out on four 1:2 reduced-scale RC column prototypes under a combined axial load and bending uncoupled from shear.
Experimental force–displacement records revealed that the addition of a steel fiber-reinforced jacket to the concrete base material improved the capacity with respect to the benchmark (unreinforced case) expressed as the strengthened-to-non-strengthened ratio, which reached 4.4, 4.8, and 6.5, respectively, for pure compression, low, and large eccentricity cases. No slip between the two components (i.e., plain concrete core and fiber-reinforced jacket) was detected as confirmed by thermographic analyses and the inspection of representative pieces removed from the specimens after the test execution.
Nevertheless, the recorded ultimate values of the axial load and bending moment were lower than the theoretically predicted ones. Such a finding was due to the increase of the detrimental transverse stress state on the HPFRC jacket causing a reduction of its performance, as reflected by local deformation measures.
Due to the lack of specific technical guidance dealing with the design of HPFRC jacketing of existing concrete members, a practice-oriented analytical calculation procedure that aims to compute the axial load–bending moment capacity envelopes was proposed. The analytical calculation required a further refinement in order to properly take into account the interaction between the external high-strength jacket and inner low-strength concrete. Accordingly, the reduction factor proposed was able to take into account the reduction of the performance under high compressive load levels.
The experimental outcomes provided a preliminary set of useful data for better orientation of ongoing research activities. Indeed, the proposed analytical procedure represents a basis for the design of retrofitting of existing RC columns using HPFRC jacketing, although more detailed and comprehensive investigations are necessary to guarantee robust results. In particular, a larger sample set is desired to consider other sources of variability, such as jacketing geometrical parameters (e.g., thickness, properties, and anchorage) and mixed loading cases.