Abstract
Ultra-high-performance engineered cementitious composites (UHPECC) are becoming increasingly important in modern construction. In this study, the Modified Andreasen and Andersen (MAA) particle packing model was employed to optimize the material proportions required for achieving superior strength and ductility. The effectiveness of the MAA model in achieving a dense matrix was validated through CT scan analysis. Additionally, micromechanics theory was applied to confirm the material design. All UHPECC mixes were evaluated for their crack patterns and strain-hardening behavior. Experimental results demonstrated that a quaternary blend of Supplementary Cementitious Materials (SCMs) significantly improved compressive strength and ultrasonic pulse velocity by up to 48% and 22%, respectively, compared to conventional UHPECC. The addition of 2% PVA fibre increased the strength and energy index by as much as 11% and 60%, respectively. These results help validate the fiber/matrix bonding behavior of UHPECC, which involves incorporating various types of SCM and fibers. The strong correlation between theoretical predictions and experimental outcomes further confirms the reliability of the design approach. Additionally, the microstructure of UHPECC was analyzed using X-ray Diffraction (XRD), Field-Emission Scanning Electron Microscopy (FE-SEM), and Thermogravimetric Analysis (TG).

1 Introduction
1.1 Development and characteristics of ECC and UHPECC
In the 1990s, Professor Victor Li developed Engineered Cementitious Composite (ECC), a contemporary form of cement-based composites. The main goal of ECC was to achieve a strain-hardening behaviour of over 3%, marking a significant advancement over traditional concrete. Figure 1a outlines the research and development network related to cementitious composites. Conventional ECC incorporates cement, fine sand, and either synthetic or steel fibers into the cement matrix. It usually reaches a compressive strength between 60 and 80 MPa, along with tensile and flexural strengths ranging from 3 to 5 MPa. Furthermore, using the Particle Packing Method (PPM) enables the effective filling of voids with fine powders, resulting in a densely packed composite. This enhancement notably improves the overall quality of cementitious composites, paving the way for the creation of Ultra-High-Performance Engineered Cementitious Composites (UHPECC). Researchers design UHPECC to deliver high compressive strength, strain-hardening behaviour, and tensile strength, thereby extending the service life of structures (; ). This material finds application in shotcrete, off-site precasting, and the extrusion of structural elements.
FIGURE 1
1.2 Role of supplementary cementitious materials (SCMs)
To achieve the desired behavior of Ultra High-Performance Engineered Cementitious Composites (UHPECC), the meticulous selection of material combinations is essential for forming a dense matrix. Typically, these combinations include Supplementary Cementitious Materials (SCMs) such as glass powder, fly ash, marble dust, slag, iron ore powder, silica fume, silica sand, along with synthetic and steel fibers (; ; ; ; ). The hydration products formed in UHPECC differ from those found in traditional concrete. Specifically, during the hydration process, the presence of water around SCM particles in UHPECC leads to the generation of additional calcium silicate hydrate (C-S-H) gel within the matrix. Recently, highlighted the hydration stages of UHPECC, pointing out that incorporating supplementary cementitious materials SCMs. In traditional concrete, where cement serves as the sole binder, monodispersing occurs. In contrast, the use of binary, ternary, and quaternary dispersions through various SCM combinations creates the additional precipitation around the cementitious particle (). Additionally, a comprehensive review of different types of SCMs used in cementitious compositions and the fundamental principles of particle packing theory has been conducted (; ; ).
1.3 Importance of particle packing method (PPM) in mix optimization
The Particle Packing Method (PPM) plays a crucial role in the mix design of cementitious composites. By utilizing PPM for the dense packing of materials in UHPECC, it significantly reduces material waste compared to traditional trial-and-error approaches in mix design. Specifically, PPM optimizes the ideal volumetric proportions of fillers, binders, and liquid content in the matrix, resulting in improved workability, reduced bleeding, and segregation. Several types of PPM and their associated models are illustrated in Figure 1b. Among these, the Funk and Dinger Model, the Modified Andreasen and Andersen (MAA) Model, and the Linear Packing Density Model are designed to achieve an optimal concrete mix. Notably, the MAA model is effective for particles smaller than 250 µm (). This model effectively controls the liquid phase within the solid system, enhancing the interaction among the components. For instance, minimized the pore volume by up to 7.07% through micro-CT scan analysis, utilizing the MAA packing model while adjusting the liquid phase in the matrix. Furthermore, demonstrated that incorporating waste marble dust into cementitious compositions reduces production costs. Their study employed the MAA model to optimize the quantities of materials, achieving a compressive strength exceeding 80 MPa and reducing the voids ratio up to 0.025.
1.4 Fiber reinforcement and strain-hardening behaviour
Ductility is a critical factor in enhancing the tensile and flexural strength of cementitious composites. To mitigate the brittle nature, incorporating short synthetic fibers into the matrix significantly improves ductile behaviour (). The inclusion of synthetic fibers such as polyvinyl alcohol (PVA), carbon fibers, polyethylene (PE), and polypropylene (PPP) is key to achieving high strain-hardening capacity (SHC) (; ). These fibers not only improve energy absorption but also reduce the risk of sudden failure. Notably, PVA fibers are particularly effective in controlling crack widths under tensile loading, typically ranging from 50 to 100 µm. investigated the mechanical properties and microstructure of ECC that incorporated nano silica (NS), PE fibers, and silica sand with the PPM. Their findings revealed that incorporating 0.45% NS significantly improved packing density and achieved an SHC of 7.4%. Similarly, demonstrated that a compressive strength of 82.11 MPa and a tensile strength of 8.06 MPa were achieved by using silica sand and a quaternary blend of cementitious materials, including ultrafine fly ash, lime powder, silica fume, and fibers such as PE and steel. This combination resulted in superior mechanical properties and a densely packed microstructure. Furthermore, demonstrated that incorporating 1% NS into cementitious composites containing PE fibers reduced crack widths by up to 59.4%, thereby achieving a strain-hardening capacity of 5%. In another study, incorporated Stone Slurry Powder (SSL) into ECC mixtures, resulting in a 43.3% reduction in production costs while maintaining excellent mechanical and durability properties. A recent investigation into the abrasion resistance of hybrid fiber reinforcement, which included both steel and PVA fibers with nano-SiO2, demonstrated that the use of hybrid fibers improved abrasion resistance by up to 55.64 (). studied the bonding behavior of concrete when using PVA fiber under shear loading conditions, finding that the addition of PVA fiber improved the interface bonding.
1.5 Research significance
Several studies have focused on developing traditional ECC using fly ash, GGBS, metakaolin, and rice husk ash as replacements for cement. Researchers have conducted limited studies on optimizing composites based on the physical and chemical characteristics of materials. This research investigates the significance of particle packing in UHPECC by incorporating SCMs such as Marble Dust Powder (MDP), Glass Powder (GP), and Silica Fume (SF). The optimization process utilized EMMA software, which incorporates the MAA model. Outcomes were confirmed through micro-CT scan analysis to assess pore volume percentage. Additionally, the strength and energy index are validated using micromechanics theory. It is essential to satisfy material design requirements to ensure the successful production of UHPECC. The results of this study provide insights into optimizing the volumetric composition of materials to achieve a dense matrix.
2 Materials and methods
2.1 Properties of materials used in UHPECC
The materials used for developing UHPECC included Ordinary Portland Cement (OPC) Grade 53, which conforms to Indian Standard IS 269. Additionally, Marble Dust Powder (MDP), Silica Fume (SF), and Glass Powder (GP) were utilized, with specific gravities of 3.13, 2.70, 2.20, and 2.40, respectively. The physical and chemical properties of binders are detailed in Table 1. The particle size of the binder was analyzed using a Malvern 2000 laser diffraction analyzer, in accordance with ISO 13320:2020, and the results are presented in Figure 2a. The results of the X-ray diffraction (XRD) examination showed that SF and GP were mainly amorphous. MDP also demonstrated amorphous characteristics and contained a significant amount of Calcium Carbonate (CaCO3), as illustrated in Figure 2b. Additionally, Field Emission Scanning Electron Microscopy (FE-SEM) images of the binders are shown in Figure 2c. The specific surface area of the binders was determined using BET analysis. Silica sand, with a particle size greater than or equal to 300 μm, was employed as the fine aggregate. Polyvinyl Alcohol (PVA) fibers, measuring 8 mm in length and 39 μm in diameter, were incorporated into the mix. These fibers had a modulus of elasticity of 40 GPa and a tensile strength of 1,740 MPa. To achieve the desired workability at various water-to-binder ratios, a High Range Water Reducer (HRWR) based on polycarboxylic ether was added.
TABLE 1
| Binders | CaO | SiO2 | Fe2O3 | K2O | Al2O3 | MgO | Na2O | TiO2 | P2O5 | Specific gravity | Specific surface area (m2/g) |
|---|---|---|---|---|---|---|---|---|---|---|---|
| OPC | 64.93 | 21.5 | 2.84 | 1.01 | 4.51 | 2.08 | 0.17 | 0.25 | 0.06 | 3.13 | 0.95 |
| GP | 12.5 | 70.38 | 0.38 | 0.40 | 1.68 | 0.01 | 13.5 | 0.04 | - | 2.40 | 2.10 |
| SF | 0.42 | 92.5 | 0.96 | 0.82 | 0.72 | 1.72 | 0.50 | - | 0.17 | 2.20 | 3.31 |
| MDP | 45.10 | 3.24 | 0.86 | 0.10 | 0.7 | 18.10 | 0.03 | 0.06 | 0.02 | 2.70 | 1.5 |
The chemical compositions and physical properties of binders.
FIGURE 2
2.2 Mix design
The Modified Andreasen and Andersen (MAA) model significantly improves the optimization of fine particles, such as powders and fillers within a matrix (; ; ; ; ). To minimize voids, this packing model aims to tightly arrange particles by combining different sizes (). This research focuses on developing UHPECC using the EMMA mixer analyzer, which incorporates the Modified Andreasen and Andersen (MAA) model. The EMMA mixer analyzer requires the following input parameters: particle density, material quantity, distribution modulus (q), and the minimum and maximum particle sizes. The distribution modulus (q) determines the rheological properties of the mix, ranging from 0.2 to 0.3. A high q value shows coarse grain particles and a less workable mix, whereas a low q value shows fine grain particles and a more workable mix (User Guide Elkem Materials Mixture Analyser-EMMA). Equation 1 presents the MAA equation, utilized for calculating the materials proportion, which is implemented in EMMA:Where D, Dma, and Dmi represent the average, maximum and minimum particle sizes of the composed material and CPP is the cumulative percentage of particles finer than the D. After determining the optimum mix proportion, the PSD curve of the materials is compared with the target curve. The Least Squares Method (LSM) is used to evaluate the fit. The fitting degree R2 is given in Equation 2. An R2 value nearing one suggests that the PSD curve of the composite material aligns closely with the target curve, indicating dense packing.
The variables Pr and Tc represent the predicted and target cumulative percentages of particles, respectively. After determining the material quantities for UHPECC, the next step is sample preparation.
2.3 Casting and test procedure
Figure 3 illustrates the optimization process that utilizes the EMMA model, along with the sample preparation procedure. The team prepared the fresh UHPECC using a portable high-speed mixer. Initially, all powders and filler materials underwent premixing for 0–3 min to achieve uniform distribution. Then, 75% of the total water content was added to the mix at medium speed. Next, the HRWR and the remaining 25% of water were incorporated into the mixture, followed by the slow introduction of PVA fibers into the blend. A mini flow table test was conducted to evaluate the rheological properties of the fresh mix by ASTM C1856 [26]. As shown in Table 2, the fresh UHPECC was poured into moulds for the mechanical strength test. Following a 24-h casting period, the specimens were moved to a hot water curing chamber. During the initial preheating stage, the temperature increased gradually over 2 h. The specimens were maintained at 90 °C for 8 h before being returned to room temperature. After this hot water curing process, the specimens remained under standard curing conditions until the testing age (; ; ).
FIGURE 3
TABLE 2
| S. No | Name of the test | Sample size | Codal provisions |
|---|---|---|---|
| 1 | Flow spread | Fresh UHPECC | ASTM C1856 |
| 2 | Compressive strength | 50 × 50 × 50 mm | ASTM C 109 |
| 3 | Flexural strength | 40 × 40 × 160 mm | IS 516 |
| 4 | Uniaxial tensile test | 60 × 13 × 330 mm | Japan Society of Civil Engineers (JSCE) |
| 5 | Ultrasonic pulse velocity (UPV) | 50 × 50 × 50 mm | IS 13311 |
Test details for UHPECC.
3 Results and discussion
This study investigated 16 Ultra High-Performance Engineered Cementitious Composites (UHPECC) mixtures that incorporated various combinations of binary, ternary, and quaternary materials. These mixtures were designed based on the particle packing model, as detailed by . Through an evaluation of fresh properties and compressive strength, five optimal mixes were selected for further analysis. This research specifically examines the ultrasonic pulse velocity, flexural strength, and micromechanical properties of UHPECC mixtures reinforced with Polyvinyl Alcohol (PVA) fibers. Additionally, microstructural characterization was performed using X-ray Diffraction (XRD), Scanning Electron Microscopy (SEM), and Thermogravimetric (TG) analyses.
3.1 Validation of MAA packing model by micro-CT scan
Material properties, such as particle density, maximum particle size, and minimum particle size, must be entered into the EMMA software. The next step is to specify the amounts of each material required to create the PSD curve after developing these properties. To achieve a densely packed matrix, the distribution modulus (q) and material proportions must be adjusted. A traditional UHPECC mix (C) was created in accordance with ASTM C1856, excluding the fibre and SCMs. Four mixtures, including SF, MDP, and GP, were optimized using the EMMA tool by incorporating and adjusting SCMs. M1, M2.1, M2.2, and M3 were the names given to these mixtures. Table 3 lists the ingredient proportions for each mixture.
TABLE 3
| Type of binder system | Fine aggregate | Cement | SF | GP | MD | Water | HRWR | PVA % | |
|---|---|---|---|---|---|---|---|---|---|
| Conventional | C | 965.12 | 750 | — | — | — | 196.5 | 33.8 | — |
| Binary - (C + SF) | M1 | 1258.9 | 962 | 165 | — | — | 157.78 | 25.96 | 2 |
| Ternary - (C + SF + MDP) | M2.1 | 1098.8 | 925.7 | 168.9 | — | 121.9 | 194.64 | 28.56 | 2 |
| Ternary -(C + SF + GP) | M2.2 | 1450.8 | 603.8 | 161 | 220.1 | — | 157.7 | 35.38 | 2 |
| Quaternary - (C + SF + MDP + GP) | M3 | 1325.8 | 650.5 | 186.8 | 128 | 119 | 248.84 | 32.15 | 2 |
Material proportion for UHPECC (kg/m3).
In UHPECC, the arrangement of particles within the matrix plays a crucial role in achieving high performance. A dense particle packing significantly reduces the pore volume of the matrix, enhancing its overall properties. This study examined the reduction in pore volume achieved by the MAA model and validate with the micro-CT scan. Following ASTM 1856, a conventional UHPECC mix (C) was developed without the addition of SF, MDP, and GP. The EMMA tool combined with the MAA model was used to optimise four mixes, which were subsequently named M1, M2.1, M2.2, and M3. The proportions of ingredients for all mixtures are specified in Table 3.
A high pore percentage (PP) of up to 7.5% was the result of the conventional mix (C). Additionally, Figure 4 displays the results of the MAA model for various combinations of cementitious materials. The conventional mix (C) exhibited a high PP of up to 7.5%. Figure 4 displays the results of the MAA model for various combinations of cementitious materials, which include binary, ternary, and quaternary types. These results were validated through pore percentage analysis using micro-computed tomography (micro-CT) scanning. In the graphs, the blue curve represents the Particle Size Distribution (PSD) of the materials. In contrast, the red smooth curve illustrates the ideal arrangement of tightly packed particles based on the input materials. Aligning the material curve with the target curve becomes easier when both the solid materials and the liquid phase (water + HRWR) are modified. For the binary combination of cement and silica fume (SF), referred to as Mix M1, as shown in Figure 4a, the porosity percentage is 4% lower than that of the traditional mix. Figures 4b,c illustrate the ternary combinations of cementitious materials. In comparison to mixes M1 and M2.1, mix M2.2, which consists of cement, SF, and glass powder (GP), demonstrated that the PSD curve was better aligned with the target curve, resulting in a lowered PP of 1.18%. Figure 4d presents the results for the quaternary blend of cement, SF, GP, and MDP. This mixture surpassed both the binary and ternary combinations by achieving the lowest porosity percentage at 0.89%. The following study investigates the mechanical behaviour and fiber-matrix bond characteristics of the optimized mix proportions obtained from the MAA model.
FIGURE 4
3.2 Flow spread measurement
Figure 5 illustrates the flow spread and flow percentage for all UHPECC mixtures. The flow spread values varied from 210 to 240 mm, primarily influenced by the dosage of high range water reducer (HRWR) and binder content. Proper mixing time is essential to prevent particle agglomeration and to ensure uniform fiber distribution. Effective fiber dispersion results in the absence of lump formation and achieves good flow spread in UHPECC.
FIGURE 5
In the mini slump flow test, the results indicated that the addition of supplementary cementitious materials (SCMs) led to a gradual reduction in flow spread compared to the conventional mix. However, all UHPECC mixtures adhered to the flow spread limits set by ASTM C1856. The percentage decrease in flow spread relative to the conventional mix was recorded as 2.9%, 5.41%, 10.41%, and 12.5% for Mixes M1, M2.1, M2.2, and M3. The flow percentage was calculated using Equation 3 ().Where and represent the initial and final flow spread diameters (mm), respectively. The Mix M1 achieved a flow percentage of 35.2%, which is slightly lower than that of the conventional mix. Mix M1 achieved a flow percentage of 35.2%, which is slightly lower than that of the conventional mix. The inclusion of SF in binary, ternary, and quaternary UHPECC mixes resulted in a linear decrease in flow percentage. This reduction is due to the high specific surface area of SF, which increases water demand and decreases lubrication between particles. Additionally, the introduction of MDP in ternary mixes resulted in a flow percentage of 30.46% for Mix M2.2. The rough texture and sharp edges of MDP particles hinder adequate bonding with HRWR. Furthermore, MDP demonstrates slower dispersion within the polymeric layers of HRWR. Similar observations were reported by investigated the flowability of concrete with MDP, concluding that flowability decreases with an increase in MDP content. Moreover, Mixes M2.2 and M3 exhibited reductions in both flow spread and flow percentage due to the higher powder content resulting from the combined use of SF and GP. These particles have a high capacity to absorb water, resulting in a decrease in the water content of the UHPECC paste. The flow properties of UHPECC are significantly influenced by the type and amount of SCMs utilized. As the powder content rises, the flow characteristics tend to decrease, even with the addition of larger quantities of HRWR. The subsequent section will address the impact of the packing model on fiber bridging behaviour and strength development.
3.3 Mechanical properties
3.3.1 Compressive strength
This study investigates the compressive strength (CS) of UHPECC subjected to hot water curing, incorporating SF, MDP, and GP into the cementitious materials. Curing the mixture in hot water at 90 °C for 8 h accelerates the binder reactions, leading to a stronger bond with the fillers and fibers. This process acts as a pre-treatment before standard curing, significantly enhancing the mechanical properties of the UHPECC. The CS of UHPECC was measured at 7, 14, and 28 days, as depicted in Figure 6a. For each mix, nine specimens were tested to ensure the reliability and accuracy of the CS measurements. Additionally, Figure 6b illustrates the relationship between CS and Ultrasonic Pulse Velocity (UPV) in UHPECC. The correlation between pulse velocity and CS is valuable for assessing the internal quality and compactness of the matrix.
FIGURE 6
The conventional mix (C) achieved a 28-day CS of 70 ± 4.32 MPa and an ultrasonic pulse velocity (UPV) of 4,328 m/s under combined curing conditions. In comparison, the 28-day compressive strengths for the mixes M1, M2.1, M2.2, and M3 were measured at 105.89 ± 5.91 MPa, 118.5 ± 6.3 MPa, 121.8 ± 6.7 MPa, and 134.72 ± 6.95 MPa, respectively. The corresponding UPV values for these mixes were 4,725 m/s, 4,804 m/s, 4,919 m/s, and 5,612 m/s. A strong correlation was observed between UPV and compressive strength, with an R2 value of 0.92, as shown in Figure 6b. In the binary mix (M1), the addition of 7.8% silica fume (SF) raised the CS to over 100 MPa. In the ternary mixes (M2.1 and M2.2), the incorporation of SF combined with MDP and GP achieved the CS of 60% and 65%, respectively, compared to the conventional UHPECC. The quaternary mix (M3), which included cement, MDP, GP, and SF, achieved the highest CS of 134.72 ± 6.95 MPa among all the tested mixes. During the hydration process, MDP generates a significant amount of calcium hydroxide (CH), similar to that produced by cement. The CH generated by both cement and MDP reacts with the silica present in SF and GP to produce additional C-S-H gel. The ternary mixes contained 8.2% MDP and 11% GP, while the quaternary mix had 7.4% MDP and 9.5% GP. All these modified mixes achieved compressive strengths exceeding 100 MPa and demonstrated excellent UPV values.
Similarly, existing literature suggests that the addition of MDP up to 10% effectively seals the pores. However, exceeding 10% indicates a loss of dilution capacity for MDP ions, which affects the properties of composites (; ; ). Furthermore, the UPV measurements for all UHPECC mixtures indicate a high-quality matrix. According to ASTM C597–16, the standard outlines the procedure for calculating the Dynamic Young’s Modulus (DYM) based on UPV value (). The results demonstrate that the DYM of UHPECC increases with increases in the UPV values. The DYM for mixes C, M1, M2.1, M2.2, and M3 are 48.15 GPa, 53.72 GPa, 54.15 GPa, 54.91 GPa, and 56.38 GPa, respectively. A gradual increase in DYM is observed compared to the conventional mix.
3.3.2 Flexural strength of UHPECC
Figure 7 illustrates the Flexural Strength (Fs) and Energy Absorption Capacity (EAC) of UHPECC, based on tests performed on nine specimens per mix at 7, 14, and 28 days. The EAC represents the amount of energy absorbed by the material before reaching ultimate failure. In UHPECC, multiple microcracks form and propagate before final fracture, allowing the material to undergo more deformation. This behaviour contributes to higher energy absorption and delays sudden brittle failure. The EAC is calculated as the area under the load-deflection curve obtained during the flexural test.
FIGURE 7
Among all the mixtures, UHPECC M3 exhibited the highest Fs and EAC. The quaternary blend of SCMs resulted in a 56% improvement in Fs and a 61.5% gain in EAC compared to conventional UHPECC. The Fs values after 28 days for mixes C, M1, M2.1, M2.2, and M3 were recorded as 9.5 ± 1.22 MPa, 11.2 ± 1.46 MPa, 15.2 ± 2.1 MPa, 17.8 ± 1.89 MPa, and 22 ± 2.3 MPa, respectively. The addition of PVA fiber in UHPECC achieved high EAC and flexibility. Existing studies indicate that the molecular interaction between fibers and SCM ions contributes to an improved load transfer capacity. Additionally, the electrostatic attraction between the polymeric chains and the binder gels increases the bonding properties (). The EAC was determined based on load-displacement data obtained from flexural strength tests on UHPECC specimens, yielding EAC values ranging from 220 to 573 N·mm.
3.3.3 Strain hardening of UHPECC
This study investigates the uniaxial tensile behaviour of UHPECC to evaluate strain-hardening SH characteristics. Material properties such as ductility, quasi-brittleness, and brittleness influence these SH characteristics. The stress-strain curve typically displays three distinct regions based on the matrix response under tensile loading. In the first region, the material shows a linear response as it deforms elastically under increasing load. The following two regions are crucial for determining whether the material is brittle or ductile, particularly in terms of strain hardening and strain softening (). Figures 8a,b detail the strain capacity, tensile strength (Ts), and crack patterns of all mixtures. We recorded the tensile strengths of the UHPECC mixes C, M1, M2.1, M2.2, and M3 as 6.1 ± 3.51 MPa, 9.3 ± 3.9 MPa, 10.1 ± 4.02 MPa, 11.6 ± 4.27 MPa, and 12.3 ± 4.41 MPa with corresponding strain capacities of 3.5%, 5.8%, 6.3%, 8.7%, and 9.5%. To contextualize the effectiveness of the developed UHPECC mixes and highlight advancements over existing materials, it is essential to compare their performance with findings from previous literature.
FIGURE 8
For example, employed a multi-blend of SCMs, including metakaolin, fly ash, lime powder, and silica fume, along with polypropylene (PPP) fibers, achieving a tensile strength of only 3.20 MPa. Researchers attributed this relatively low performance to the hydrophobic nature of PPP fibers, which weakens the bond between the fibers and the matrix. In another study, utilized a binary matrix of fly ash and polyvinyl alcohol (PVA) fibers, which exhibited a tensile strength of 4.53 MPa and a strain capacity of 3%. In contrast, the current study achieved a tensile strength of over 4 MPa even with binary SCM blends. Similarly, used polyethylene (PE) fibers in combination with silica fume, fly ash, and crumb rubber, reporting a tensile strength of 8.06 MPa and a strain capacity of 2.28%. This research demonstrates improved tensile strength and strain capacity compared to previous studies, indicating that the optimized cementitious matrix and PVA fiber reinforcement work effectively together. The experimental results established a strong correlation between flexural strength and tensile strength, as shown in Figure 8c. The coefficient of determination (R2) measures 0.96, indicating a high level of reliability between the flexural and tensile strengths.
3.3.4 Micromechanics theory
Micromechanics theory is essential for developing UHP-ECC for structural applications, as it bridges the gap between materials science and engineering performance. Traditional concrete design typically depends on empirical methods at the macroscale, which fail to account for the interactions between fibers and matrix. By applying this theory, engineers can tailor UHPECC to meet specific structural requirements, ensuring safety, durability, and cost-effectiveness for sustainable infrastructure. extensively discussed fiber bridging and interface behaviour in composites, emphasizing the importance of micromechanics in validating material design for structural applications. Similarly, demonstrated a practical design approach for achieving strain-hardening properties in building structures. Their study evaluated the energy and strength indices for first crack formation and final fracture, resulting in high strain-hardening behavior. Figure 9 illustrates the analysis of the fiber-matrix interface bond through micromechanics.
FIGURE 9
In Equations 4 and 5, the strength parameter SHs is defined by (ultimate tensile strength) and (strength of the first crack). For the energy parameter, and refer to the fiber-matrix bridging energy and fracture energy, calculated using the Equation shown in Figure 9c. The fracture toughness of the matrix (Km) and the Young’s modulus of the matrix (Em) were determined using Equations 6 and 7, respectively (). The parameter Km was obtained through a three-point bending test, and the uniaxial test setup is depicted in Figures 9a,b. In this context, L represents the peak load, S denotes the span length, and W and H correspond to the specimen’s width and height, respectively. The shape factor, defined by Equations 8, 9, refers to the notch depth, as illustrated in Figure 9a.
Table 4 presents the factors that influence the micromechanics for calculating the strength parameter and energy parameters. The incorporation of PVA fibers resulted in a high Young’s modulus of UHPECC from 34.23 to 42.57 GPa. The high Young’s modulus of UHPECC positively contributed to load-bearing capacity, crack control, and fiber-matrix bridging. The strength parameter, quantified as the strength index, is recommended to exceed 1.3. All UHPECC mixtures achieved a strength index greater than 1.3. Notably, the introduction of MDP and GP with SF into the cement matrix further increased the strength index up to 1.71.
TABLE 4
| Mix ID | σt (MPa) | Km (MPa.m1/2) | E (GPa) | JB (J.m−2) | JT (J.m−2) | SHS | SHE |
|---|---|---|---|---|---|---|---|
| C | 6.1 | 0.36 | 34.23 | 106 | 6.5 | 1.52 | 16.30 |
| M1 | 9.3 | 0.43 | 39.29 | 269 | 12.5 | 1.59 | 21.52 |
| M2.1 | 10.5 | 0.58 | 40.79 | 330 | 13.1 | 1.60 | 25.19 |
| M2.2 | 11.5 | 0.68 | 41.12 | 500 | 13.8 | 1.62 | 36.26 |
| M3 | 12.5 | 0.85 | 42.57 | 593 | 14.9 | 1.71 | 42.33 |
Output for SHS and SHE.
Additionally, Equation 10 represents the linear correlation between ultimate tensile strength and the strength parameter. As illustrated in Figure 10a, the tensile strength exhibited a positive trend with the strength index, with a coefficient of correlation (R2) of 0.98.
FIGURE 10
Furthermore, the validation of the energy index depends on fiber-matrix bridging energy and fracture energy of UHPECC. The value indicates the energy absorbed when a fracture first appears in the matrix as a result of increasing loading. This value is directly proportional to the initial strain capacity of UHPECC. The fiber bridging energy varied from 106 to 593 J·m2. The total energy index must be greater than 3 (). All UHPECC mixtures achieved a strength and energy index greater than the specified limits. The experimental results, validated through micromechanics theory, strongly confirm the reliability of the material design. Furthermore, Equation 11 demonstrates a strong linear correlation between the strength index and energy index, with an R2 value of 0.94, shown in Figure 10b. The experimental results regarding the strength and energy index have been validated by existing literature. investigated the incorporation of polyethylene (PE) and steel fibers into cementitious compositions, achieving strength and energy indices of 1.45 and 8.6, respectively. Furthermore, , , and examined the energy absorption behavior of synthetic fibers, as well as a hybrid of synthetic and steel fibers. This current study evaluates polyvinyl alcohol (PVA) fiber, which has demonstrated higher energy and strength index compared to those in earlier research.
4 Microstructure characteristics of UHPECC
4.1 FE-SEM
Field Emission Scanning Electron Microscopy (FE-SEM) analysis was conducted to examine the microstructure of the UHPECC matrix and assess the effects of SCMs and PVA fibers, as shown in Figure 11. The FE-SEM analysis enabled the identification of various microstructures, including pores, Calcium-Silicate-Hydrate (C-S-H) phases, the Interfacial Transition Zone (ITZ), and fiber fracture patterns.
FIGURE 11
Figure 11a depicts the microstructure of the conventional UHPECC mix (C), highlighting the presence of pore clusters near the aggregate-paste interface. These pores suggest inadequate particle packing, which is likely due to the absence of SCMs in the conventional UHPECC matrix. Conversely, the inclusion of SCMs such as SF, GP, and MDP resulted in a denser microstructure. Figure 11b illustrates the densified matrix achieved through the quaternary blending of SCMs, characterized by an increased presence of C-S-H phases. The hot water curing method used for UHPECC promotes the pozzolanic reactions between calcium hydroxide (CH) and silica in the SCMs, leading to the formation of softer C-S-H phases. Figure 11d shows the development of a strong ITZ within the UHPECC matrix. The thin layer surrounding the aggregates acts as a protective barrier, restricting the chlorides and sulphates from entering the matrix. Furthermore, Figures 11c,e depict the fiber failure patterns under loading conditions. During loading, the PVA fibers exhibited a pull-out behaviour from the matrix, resulting in hairline peeling without any crack formation near the matrix. Additionally, hydration products were observed on the surface of the PVA fibers, and no fiber agglomeration was detected, indicating that the fibers were effectively dispersed during the mixing process. Based on the FE-SEM analysis, it can be concluded that the incorporation of SCMs facilitates the formation of C-S-H gel.
4.2 Phase identification for UHPECC
The X-ray Diffraction (XRD) technique was used to identify the phases present in hardened UHPECC. Figure 12 presents the XRD pattern of five hardened UHPECC samples, highlighting the crystalline phases observed, including Calcium Silicate Hydrate (C-S-H), Calcite (C), Tricalcium Silicate (C3S), Calcium Hydroxide (CH), Tricalcium Aluminate (C3A), and Tobermorite. Notably, the peak intensity for unhydrated C3S and C2S particles significantly decreased in mix M3, specifically at 2θ values of 29.310° and 59.15°. The first diffraction peak observed at 20.71° in all samples is attributed to the nucleation effects of CH and silica components. A strong intensity for this peak was especially noted in mixes M2.2 and M3. Additionally, the use of hot water curing in UHPECC accelerated secondary hydration, particularly improving the reaction between the extra silica components from SCMs and the CH present in both the cement and MDP. This subsequent reaction of the C-S-H gel with C2S resulted in the formation of Tobermorite, as confirmed by the characteristic spectral range of 36–49. Furthermore, X-ray fluorescence (XRF) spectroscopy was utilized to determine the clinker phase composition in the UHPECC samples. Table 5 details the quantities of Bogue’s components calculated using Bogue’s equations (). The primary elemental composition identified in UHPECC comprised 54%–58% SiO2, 23%–29% CaO, 4%–6% Al2O3, 2.5%–3% Fe2O3, and 1%–2% K2O, which were consistently observed in all UHPECC samples.
FIGURE 12
TABLE 5
| Components | C | M1 | M2.1 | M2.2 | M3 |
|---|---|---|---|---|---|
| C3S | 27.8 | 31.47 | 34.21 | 36.50 | 37.25 |
| C2S | 46.20 | 45.80 | 44.7 | 42.5 | 42.91 |
| C3A | 15.42 | 15.23 | 13.63 | 13.61 | 13.14 |
| C4AF | 10.28 | 7.5 | 7.46 | 7.39 | 6.7 |
| Total % | 100 | 100 | 100 | 100 | 100 |
Cementicious composition for UHPECC.
4.3 TG/DSC
Figures 13, 14 illustrate the Thermogravimetric Analysis (TG) and Differential Scanning Calorimetry (DSC) analysis curves, depicting the mass loss at different phases of the binder system. The validation of TG and DSC is based on the mass loss observed at elevated temperatures in the UHPECC binder composition. The mass reduction occurs in two primary phases: the amorphous and crystalline structures (). The amorphous structure predominantly consists of C-S-H gel, while the crystalline phase contains CH and calcite, which are present in the matrix. Based on the thermal peaks, the decomposition of the amorphous phase occurs between 30 °C and 450 °C.
FIGURE 13
FIGURE 14
The TG/DSC curves of five samples indicate that the first peak appears within the range of 100 °C–120 °C, corresponding to the elimination of free water molecules and the initial breakdown of the C-S-H gel in the matrix. Among all UHPECC mixes, mix M3 exhibits the strongest peak within this temperature range, suggesting a higher initial mass loss due to the decomposition of C-S-H gel and tobermorite compared to other mixes. In the temperature range of 200 °C–400 °C, calcium hydroxide (CH), calcite, and other hydration products surrounding the binder particles lost their stability. The decomposition of crystalline phases such as CH and calcite begins above 400 °C. The TG/DSC curves indicate that mixes M1, M2.1, and M2.2 exhibit similar peak patterns, whereas mix M3 shows distinct peaks at approximately 450 °C and 750 °C, corresponding to the decomposition of CH and calcite structures. The TG/DSC analysis further confirms that mix M3 resulted in higher initial mass loss than the other mixes, indicating a greater formation of C-S-H gel within the UHPECC matrix. Additionally, the TG/DSC results validate the extent of CO2 capture, as calculated using Equation 12 for all UHPECC specimens and illustrated in Figure 15.
FIGURE 15
The decomposition of CO2 predominantly occurs above 450 °C (). This study reveals that low CO2 capture is achieved through the incorporation of SCMs in the cementitious mixtures, as compared to conventional UHPECC.
5 Hydration of SCMs in UHPECC
The pozzolanic activity of SCMs significantly enhances the performance of UHPECC while also contributing to a reduction in CO2 emissions. In this study, the incorporation of SF and GP both rich in amorphous siliceous content promotes secondary reactions with calcium hydroxide (CH) which is a crystalline byproduct of cement hydration, resulting in the formation of additional calcium silicate hydrate (C–S–H) gel. The siliceous components in glass powder react gradually with calcium hydroxide (CH), which is why employing hot water curing facilitates the acceleration of the pozzolanic reaction. Additionally, inorganic mineral additives such as MDP, SF, and GP help transition the microstructure from a heterogeneous to a more homogeneous matrix by facilitating balanced ion nucleation and enhancing hydration kinetics. Specifically, the calcium carbonate (CaCO3) present in MDP reacts with the tricalcium aluminate (C3A) phase of cement to form carboaluminate hydrate (C4ACH11), which contributes to early setting and stabilizes the hydration process. The incorporation of a high range water reducer (HRWR) based on polycarboxylate ether (PCE) further improves the workability of the mix. The PCE molecules adhere to the surfaces of cement and SCM particles, creating electrostatic and steric repulsive forces that prevent particle agglomeration and promote improved dispersion.
6 Study limitations and cost analysis
This study successfully develops UHPECC with excellent mechanical strength, strain-hardening capacity, and ductility. However, important to acknowledge certain limitations. One of the primary challenges is achieving uniform fiber dispersion, particularly with synthetic fibers such as PVA. A higher amount of cementitious material with fibers tends to clump during mixing, especially under low w/b ratios, which affects matrix homogeneity and workability. To overcome this issue, gradually increasing the mixing speed helps ensure uniform dispersion of fibers. Additionally, optimizing the mix using the Particle Packing Method (PPM) requires precise control over particle size input and material quantities. Deviation from the target curve can result in either excessive or insufficient binder use, which affects both performance and cost efficiency. We conducted a detailed cost analysis in conjunction with a performance evaluation to assess the economic viability of UHPECC production. The unit costs of each material (in USD/kg) were considered to estimate the total production cost in USD/m3, as summarized in Table 6.
TABLE 6
| Materials | Cost (USD/kg) | Mix C | Mix M1 | Mix M2.1 | Mix M2.2 | Mix M3 |
|---|---|---|---|---|---|---|
| Cement | 0.09 | 72.00 | 92.35 | 88.87 | 57.97 | 62.45 |
| SF | 0.13 | - | 21.45 | 21.96 | 20.93 | 24.28 |
| MDP | 0.03 | - | - | 3.66 | - | 3.66 |
| GP | 0.19 | - | - | - | 41.82 | 24.32 |
| Silica sand | 0.05 | 48.26 | 62.95 | 54.94 | 72.54 | 66.29 |
| PVA fiber | 2.90 | 75.40 | 75.40 | 75.40 | 75.40 | 75.40 |
| HRWR | 1.99 | 67.26 | 51.66 | 56.83 | 70.41 | 63.98 |
| Total (USD/m3) | - | 187.52 | 303.81 | 301.66 | 339.07 | 320.29 |
| CS (MPa) | - | 70 | 105.9 | 118.5 | 121.8 | 134.72 |
Cost analysis of UHPECC (USD/m3).
The manufacturing cost of UHPECC typically ranges from 500 to 600 USD/m3 due to its substantial use of powder content and steel fibers. This research achieved a cost of 303–320 USD/m3 by using locally available materials without compromising strength. The addition of MDP in UHPECC production reduces production costs. The addition of MDP in the quaternary mix reduced the 15% cost and also achieved a strength of more than 130 MPa. The Cost Efficiency Index (CEI), expressed in USD/MPa/m3, was determined for each UHPECC mix (). The CEI values ranged from 2.6 to 2.3 USD/MPa/m3. Mix M3 achieved the lowest CEI of 2.3 USD/MPa/m3, indicating the most cost-effective formulation and making it a suitable choice for UHPECC production in terms of both performance and economic viability.
7 Conclusion
This study investigates the fresh and mechanical properties of UHPECC and evaluates material design using micromechanics theory and 3D pore structure analysis via CT scanning. It also examines the phase composition and microstructure of the hardened UHPECC through XRD, XRF, FE-SEM, and TG/DSC techniques.
Based on the results, the following conclusions were drawn:
• The traditional ultra-high performance engineered cementitious composite (UHPECC) mix design was revised using a particle packing model. To create a densely packed matrix, a multi-blend of cementitious materials was used in optimum quantity.
• Utilizing locally available materials, such as GP, SF, and MDP, enhances the mechanical properties and ductility, as demonstrated in this research. This approach supports construction practices for infrastructure.
• Micromechanics validation ensures that synthetic fiber-reinforced UHPECC achieves ductility and meets the design specifications.
• CT scan analysis confirmed that the inclusion of SCMs reduced the total pore volume in UHPECC by 88%.
• Phase identification analyses using XRD, TG, and FE-SEM confirmed the presence of C-S-H gel, Tobermorite, and calcium hydroxide (CH).
8 Implications of structure and future scope
• Selecting appropriate materials is important for the development of UHPECC. Utilizing locally sourced materials and industrial by-products in the cementitious matrix promotes sustainability.
• Most researchers have focused on replacing cement with SCMs; however, substituting potable water with waste or recycled water in concrete production is another eco-friendly approach that supports sustainable construction practices.
• The composite structural system of steel and UHPECC can significantly reduce maintenance needs in bridge structures. Moreover, evaluating the joint performance of precast bridge deck panels connected with field-cast UHPECC under both static and dynamic loading is important for ensuring structural continuity, efficient load transfer, and long-term serviceability.
• There is a need to scale up UHPECC mixes formulated at the laboratory scale by incorporating various SCMs into full-scale manufacturing processes, bridging the gap between research and practical application.
• UHPECC facilitates the acceleration of project timelines, promotes product accuracy, reduces labour requirements, ensures safety in construction, and minimizes construction waste.
• The self-consolidating properties of UHPECC enhance its applicability in field casting, enabling efficient placement in densely reinforced sections and complex geometries without vibration.
Statements
Data availability statement
The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.
Author contributions
KP: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Project administration, Software, Supervision, Validation, Visualization, Writing – original draft, Writing – review and editing. OS: Investigation, Methodology, Supervision, Validation, Writing – review and editing.
Funding
The author(s) declare that no financial support was received for the research and/or publication of this article.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
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The author(s) declare that no Generative AI was used in the creation of this manuscript.
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Summary
Keywords
MAA model, micromechanics theory, crack pattern, fiber, strength criteria, energy criteria
Citation
Priyanka K and Suganya OM (2025) Behaviour of PVA fiber and SCM-modified UHPECC: a micromechanics approach. Front. Built Environ. 11:1639590. doi: 10.3389/fbuil.2025.1639590
Received
02 June 2025
Accepted
19 August 2025
Published
03 September 2025
Volume
11 - 2025
Edited by
Hindavi Gavali (Tikate), NICMAR University Pune, India
Reviewed by
Amir Ali Shahmansouri, Washington State University, United States
Peng Zhang, Zhengzhou University, China
Updates
Copyright
© 2025 Priyanka and Suganya.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: O. M. Suganya, omsuganya@vit.ac.in
Disclaimer
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.