1. Introduction
Portland cement has been widely used because of its reliable performance and low price. However, it also has problems, such as long maintenance time, slow development of early strength, poor fluidity and low compaction rate. Therefore, sulfoaluminate cement, which has the characteristics of fast hardening, early strength, shrinkage and short design age, has become a research focus of new building materials in recent years and is widely used in construction, roads, water conservancy, port tunnels and other fields of emergency repair. Compared with Portland cement, the CO
2 content of sulfoaluminate cement can be reduced by 40% per ton [
1], which is in line with the development trend regarding low carbon emissions and high-performance cement. However, as a brittle material, cement has poor bending and tensile effects, and also has certain defects in wear resistance and flexibility, which cannot meet the requirements for its toughness and bond strength. Fortunately, polymer-reinforced cement matrix composites can solve this problem well.
Polymer materials exhibit excellent toughness and high bond strength, attributed to the relaxation movement between their chain segments. The incorporation of polymers into cement-based materials results in the formation of a polymer–cement composite system. On one hand, polymers can adsorb particles generated during cement hydration through their inherent polar functional groups, creating a network with interpenetrating structures of polymer–cement hydration products. On the other hand, the extended chain segments of polymers contribute to enhancing the stiffness of cement-based materials. This comprehensive enhancement significantly improves the toughness and bonding properties of cement-based materials. Because polymer-reinforced cement matrix composites are still cement-based, they are more compatible with concrete substrates. Polymer-reinforced cement matrix composites have been more widely used in projects such as the Yangtze River Three Gorges Power Station, the National Theatre and municipal projects in China [
2,
3].
Currently, the research on polymer-modified sulfoaluminate cement is still in the preliminary stage. Scholars have carried out research on the mechanical properties, workability and toughness of polyacrylic acid and polyvinyl alcohol for sulfoaluminate-cement-based materials. The experiments have demonstrated that the incorporation of polymers effectively improves the mechanical properties of cement-based materials, and compounding could play a synergistic role to improve the flowability, increase flexural and compressive strength and enhance toughness [
4,
5,
6]. Xiao et al. [
7] found that the optimal dosage of polyvinyl alcohol was 0.75%, and the 28d flexural strength of mortar increased by 15% under this dosage. Zhang et al. [
8] studied the effects of polyacrylamide on the setting time, mechanical properties and water resistance. The study showed that the addition of polyacrylamide could significantly prolong the setting time and improve its fluidity, among which the 3d and 28d flexural strengths increased by 75% and 39%, respectively, when the dosing amount was 0–0.3%, and the mechanical properties were greatly improved. In addition, polymers such as polyacrylic acid, polyurethane and epoxy [
9,
10,
11] can improve the performance of sulfoaluminate cement very well. According to previous studies, it can be found that the macroscopic properties, such as the mechanics of polymer-reinforced cement matrix composites, are mainly studied, while the study of the interfacial interaction between the two phases at the nanoscale is still imperfect and challenging, occurring only through experimental studies, where molecular dynamics has a significant advantage [
12,
13].
Molecular dynamics (MD) simulation can break the limitations of time and conditions, demonstrate experimental laws at the atomic level, realize the exploration of mechanisms and can also combine with the experimental development of novel materials [
13,
14]. Molecular dynamics has been used to elaborate and reveal the integrated interfacial mechanism between polymers and hydrated calcium silicate (C–S–H) [
15]. Wang et al. [
16] revealed the reasons for the differences in interfacial shear strength between different polymer fibers and C–S–H by the molecular dynamics method. Hou et al. [
17] proved that the interfacial bonding between C–S–H and polymers is related to the polarity of polymer functional groups, H bonds, Ca–O ionic pairs and bond stability. Liu et al. [
18] found that electrostatic and H-bond interactions increased the adhesion properties of cellulose fiber to the C–S–H interface. Zhou et al. [
19,
20] investigated the interaction mechanism of PVA with the micro-test method and MD simulations. However, there are significant differences in the composition of ordinary Portland cement and sulfoaluminate cement. The strength of ordinary-Portland-cement-based material is derived from the interaction between C–S–H gels, while the strength of sulfoaluminate-cement-based material is derived from ettringite crystals, which account for about 65% of the hydration products. Therefore, there may be differences in the affinity and bonding properties of the polymers to the two types of cement.
Due to the lack of targeted studies on the bonding performance of polymers with an ettringite interface, in this work, the bond performance of ettringite, the main hydration product of sulfoaluminate cement, with four types of polymers was investigated via the molecular dynamics method for the first time. The tensile strength of the four polymers separated from the ettringite substrate was simulated separately by tensile dynamics to reflect the bonding performance between the four polymers and ettringite. The intrinsic mechanism of bonding performance between different polymers and ettringite was analyzed by local structural and dynamic characterization. This work is instructive for the development of polymer-modified sulfoaluminate-cement-based materials.
3. Results and Discussion
The pulling force of the separation of the four polymers and ettringite substrate is simulated by steered molecular dynamics to reflect the interfacial bond property between the four polymers and ettringite. The microscopic mechanism of the difference in interfacial bonding properties is analyzed by local structural and dynamic characterization.
3.1. Separation Behavior
In order to preliminarily observe the behavior changes of four polymers, we extract the behavior change images of ettringite and four polymers during tensile dynamics. Simulation snapshots of the four systems are shown in
Figure 3, which intuitively reflect the adsorption and separation behavior of the polymers.
The image comparison shows that the interface region between the four polymers and ettringite is separated with the increase in stretching time. PP is the first to detach, followed by PEG, PA and PAA. The bond strength relationship between the four polymers and ettringite can be qualitatively reflected from the simulated snapshots as PAA > PA > PEG > PP.
3.2. Force–Displacement Curves
Based on the qualitative analysis in the preceding section, the mechanical curve is extracted for quantitative analysis.
Figure 4 shows the tensile force–displacement curves of the four polymers at a simulated tensile speed of 100 m/s using the tensile dynamics method. The slope of a curve is the ratio of the stretching force to the displacement at the stretching point. When the tensile force does not reach the critical value of the interfacial force, the value is positive. When the tensile force reaches the maximum value, that is, after the polymer is separated from the ettringite base, the slope becomes negative and remains unchanged.
It can be found from the curve of tensile dynamics simulation that the interface bond properties of four polymers and ettringite from high to low at the same tensile speed of different polymers are as follows: PAA > PA > PEG > PP. The first half of the curve is wavy because the chemical bond between the polymer and ettringite base is not completely disconnected in the tensile process, and the phenomenon of reconnection occurs.
The above laws are in good agreement with the experiment. Bezerra et al. [
6,
35] studied PVA and PP, both enols, and showed that the strength and toughness of PVA were higher than those of PP, and PVA had better adhesion to the substrate. At present, there are experimental studies on the properties of the four types of polymers modified, but there is a lack of horizontal comparison of the four polymers. Therefore, this work can effectively guide the selection of polymers and the development of experiments from the perspective of simulation. In the following sections, the mechanisms behind the differences in bonding performance between various polymers and ettringite were analyzed by the local structural and dynamic characteristics.
3.3. Atomic Intensity Distribution
The atomic intensity distribution can reflect atoms of the polymer on the surface of the ettringite.
Figure 5a–d describe the intensity distribution of polyamide, polyacrylic acid, polyethylene glycol and the components between the four polymers, respectively, where Ca denotes the ettringite surface calcium atom, Os denotes the polymer single-bond oxygen atom, Od denotes the polymer double-bond oxygen atom, Oco denotes the polymer carboxyl oxygen atom, Oc denotes the polymer main-chain oxygen atom, Hal denotes the aluminum hydroxyl group of ettringite and C denotes the polymer main-chain carbon atom. While ensuring the same length of the main chains of the four polymers, the atomic content of the main chains of the polymers differed due to the degree of polymerization, so we mainly observe the changes in the intensity distribution of each polymer atom in terms of position.
It can be seen from
Figure 5a that the Od intensity distribution is closer to the Ca layer than its main-chain carbon atoms at the ettringite interface, indicating the strong interaction between calcium atoms near the interface between polyamide and ettringite, which causes its distribution to shift. The atomic strength distribution of polyacrylic acid and ettringite substrate is shown in
Figure 5b. The intensity peak of Oco of the carboxyl functional group of PAA is close to that of Ca, and, from the overall view of the polymer, the carboxyl Oco is biased to be distributed on the side of the main-chain C close to the substrate. Both phenomena can reflect the interaction of PAA with Ca of the surface layer of ettringite. Different from the former two kinds of polymers, polyethylene glycol is out of the side chain of hydroxyl functional groups, and the main chain also exists in the more electronegative Oc. From
Figure 5c, the intensity distribution can be observed; the intensity peak of hydroxyl Os is very close to the intensity peak of Ca, both with strong interaction, while the main-chain oxygen, due to the restrictions of the main chain itself, does not show a bias towards the base. In addition to the interaction mentioned above, it can be obviously found from
Figure 5d that Hal of the ettringite substrate of the PAA, PA and PEG system is more inclined to the intermediate polymer layer than the PP system, indicating that there is H-bond interaction between the three polymers and the substrate. The specific bonding situation will be analyzed later.
Fundamentally, due to the polarity of the polymer itself, the above three polymers interact with the surface calcium and hydroxyl groups of the ettringite substrate, reflecting the adsorption characteristics of the polymer and the substrate.
3.4. Local Interface Analysis
In order to accurately analyze the bond situation at the interface between polymer and ettringite, and exclude the influence brought by the complexity and diversity of the intermediate polymer layer, a single polymer at the interface was selected for subsequent analysis.
3.4.1. Interfacial Ca–O Ionic Pair
The radial distribution function (RDF) can qualitatively reflect the interface structure of polymers and ettringite [
36].
Figure 6a–d show the bonding of the three polymer functional groups, PAA, PA and PEG, to the surface calcium of ettringite. In the PA/ettringite interface, the first peak of Ca–Od is 2.55 Å, which is consistent with the bond length of the calcium–oxygen polyhedron in ettringite crystal between 2.35 and 2.75 Å [
37]. Therefore, the sharp peak of PA indicates that the double-bonded oxygen on the amide group is bonding with the surface Ca, and the peak value is high, indicating the strong interaction between the two.
Figure 6e is a partial schematic diagram of the Ca–O ionic pair of PA and ettringite, which intuitively shows the bonding situation of the interface. This simulation phenomenon is consistent with the experimental characterization of the polymer in the process of cement modification and will participate in the chemical reaction regarding the formation of the Ca–O ionic pair [
11,
38,
39].
Similarly, the first peak of Ca on the surface of PAA and ettringite is about 2.65 Å, indicating that oxygen atoms of the carboxyl group in PAA can interact with calcium atoms on the ettringite interface. In PEG/ettringite composites, the first peaks of Ca–Os and Ca–Oc are both at 2.65 Å, respectively, indicating that the surface Ca of ettringite interacts not only with the hydroxyl group at the end of the PEG chain but also with the oxygen atom on the PEG main chain. This analysis method is consistent with the related simulation studies on polymers and CSH, indicating that polymer functional groups can interact with the substrate to achieve performance improvement [
15,
16,
40,
41]. The bonding between PAA, PEG and the ettringite interface is shown in
Figure 6f,g.
The coordination number can be used to quantitatively analyze the interaction between different polymers and ettringite [
36].
Table 1 shows the number of coordination calcium atoms of each polymer. The three polar polymers can coordinate with the surface calcium of ettringite, and the overall order of the total coordination number of the three polymers is PAA > PA > PEG. The coordination number of PAA is three times that of PA and PEG, indicating that PAA has the stronger binding ability with ettringite surface, mainly because the carboxyl molecular structure of the PAA branch chain is larger and the degree of freedom is higher, which makes it easier to capture the surface calcium of ettringite.
While ensuring that the main chain length of all kinds of polymers is basically the same, the degree of polymerization of PA is only one-fourth that of other polymers, and the number of functional groups is significantly smaller; thus, its value on the number of coordination calcium atoms is relatively small. In addition, the number of oxygen atoms in the main chain of PEG is much larger than that of hydroxyl oxygen at the end of the chain, but there is little difference between them in the coordination number, indicating that the main-chain oxygen atoms are difficult to bind to the calcium ions due to the limitation in the degree of freedom, and calcium prefers to adsorb on the hydroxyl oxygen. Thus, it can be seen that the polymerization degree, branched chain degrees of freedom and other properties of the polymer will affect the coordination of the polymer to the substrate.
3.4.2. H Bond
Apart from the crucial Ca–O ionic pair, the interaction between ettringite and the polymer involves H bonds that significantly influence the overall bond performance at the interface. In
Figure 7, the Radial Distribution Function (RDF) diagram and local structure diagram elucidate the H-bond interactions between the polymer and ettringite. Here, H represents the hydrogen in the polymer functional group, Ow denotes water oxygen, Os signifies sulfate oxygen and Oal represents the oxygen in the aluminum hydroxyl group. The ettringite surface, comprising water molecules, aluminum hydroxyl groups and sulfate, facilitates the formation of two types of H bonds with the polymer. One type involves the oxygen atom as the acceptor, capable of accepting electrons from the hydrogen atom in the polymer functional group. The other type features the hydrogen atom as the donor, providing electrons to the oxygen atom of the polymer functional group. This dual role of H bonding underscores the intricate nature of the interactions at the polymer–ettringite interface, emphasizing the diverse mechanisms contributing to the overall bond performance. The detailed analysis presented in the RDF and local structure diagram enhances our understanding of the complex intermolecular dynamics governing the interface.
Figure 7a is the RDF curve of the PAA system. It can be seen from the figure that PAA can form five types of H bonds with the base within the bond formation range of 2.45 Å, and the H bonds formed are mainly with oxygen atoms of sulfate and oxygen atoms in water. The local structure diagrams of five kinds of bonds are shown in the blue box in
Figure 7b. The peak position of the RDF diagram shows that only two representative polymers are indicated to show the H bond between the polymer and ettringite substrate more intuitively and briefly.
Figure 7b shows the distribution of H bonds of all PAAs. It can be found that H bonds can also be formed among PAA, which increases the bond between polymers and increases the bond strength between PAA and the ettringite interface. In
Figure 7c for the RDF curves of the PA system, PA is special in that the H-bond receptor comes from the amino nitrogen atoms, has less electronegativity than O atoms and, coupled with the number of functional groups, was only about a quarter of the PAA, decreasing the likelihood to form H bonds, so the hydrogen atoms form a H bond on the functional groups of the aft peak position, and the peak fell. The basket on the right of
Figure 7d is the local diagram of H bonds. Similarly, there are H bonds between PA chains. It can be seen intuitively that the number of H bonds in PA decreases due to the small number of functional groups.
The H-bond RDF curve of PEG is shown in
Figure 7e. It can be seen from the curve that PEG mainly forms H bonds with water molecules and sulfate, while the H bond with the aluminum hydroxyl group is weak, and its bond is shown in the blue box in
Figure 7f. By comparing the left of
Figure 7b,d,f, it can be found that the H-bond relationship between molecules is PAA > PA > PEG, and the intermolecular interaction of polymers enhances the interfacial bonding properties between polymers and ettringite substrate.
3.4.3. Time Correlation Function
The bond formation and coordination number of different polymers and ettringite substrates were analyzed in the previous section, and bond stability also determines the strength of bond performance. The time correlation function (TCF) can be used to describe the stability of chemical bonds between different ions; the faster the TCF curve decays with time, the weaker the bond connection [
42].
Figure 8a is the time correlation function of the Ca–O ionic pair. It can be seen from the figure that the TCF value of the Ca–O ionic pair of PAA is maintained at about 0.9, and the stability is the best. The two Ca–O ionic pairs of PEG exhibit different stability, and the bonding stability of oxygen atoms in the main chain is higher than that of the terminal hydroxyl group. It can be shown that the main-chain oxygen atom is the main source of PEG forming the Ca–O ionic pair. The Ca–O ionic pair stability of PA is between PAA and PEG. In analyzing the stability order of the Ca–O ionic pair among three polymers—PAA, PA and PEG—it is evident that PAA exhibits the highest stability, followed by PA and PEG. This order aligns consistently with prior examinations of bond formation. The intricate interplay of chemical structures within each polymer contributes to the observed variations in Ca–O ionic pair stability. The preference for PAA suggests specific molecular features enhancing its bond strength, reinforcing the importance of understanding polymer characteristics in the context of bond dynamics. The established order sheds light on the nuanced relationships between polymer composition and the strength of Ca–O ionic pairs, offering valuable insights for applications in various scientific and industrial domains reliant on these materials.
Figure 8b shows the stability of the H bond. The stability of the H bond formed by the amino group of PEG and ettringite is relatively poor, and the TCF value is about 0.25. For PAA and PA, although the above local structure analysis results show that the number of H bonds formed is small, its stability is high, which is inseparable from the fact that there are more water layers on the surface of the ettringite substrate. The H bond between polymer and substrate is still an important source of interfacial bond performance.
3.5. Dynamic Coordination Number
According to the above microscopic analysis of local structure, the bond performance between polymer and ettringite interface mainly depends on the interaction of Ca–O ionic pair strength and H-bond interaction. In order to quantitatively characterize the changes in the interface during the tensile process, the changes in coordination number over time, i.e., dynamic coordination numbers, of the two bonds were statistically analyzed, as shown in
Figure 9. As can be seen from
Figure 9a in the Ca–O dynamic coordination map, the curve shows a trend of rising first and is then stable in the first 300 ps, which is consistent with the equilibrium stage of polymer and substrate in the first 300 ps, where the two interact and the coordination number increases first and then achieves stable adsorption. At the stretching stage of 300 ps, the coordination number showed a downward trend. At a1, a2 and a3, the coordination number of the corresponding polymer decreased sharply and then remained stable. Combined with
Figure 3, it can be found that this turning point corresponds to the time when the polymer separates from the substrate, which can reverse-prove that the three polymers bond with the substrate through Ca–O ionic pairing. In addition, the coordination number relationship of the three polymers can also be the strength of the bond: PAA > PA > PEG. Similarly, the dynamic coordination number of H bonds (
Figure 9b) also shows a corresponding sharp decrease and stable stage at the time of polymer separation, b1 and b2, respectively, but peg does not change significantly due to the small number of H bonds, which is consistent with the previous analysis. The H bond is not the main source of PEG bond performance.
4. Conclusions
In this work, the interfacial bonding properties between ettringite and polymers were investigated by molecular dynamics for the first time. The separation process of four polymers, PA, PAA, PEG and PP, from ettringite was simulated by steered molecular dynamics to characterize the strength of the interfacial bonding properties of the four polymers, and the microscopic mechanisms of the differences in interfacial bonding properties were analyzed by local structural and dynamic characterization. The main findings of this work are as follows:
Under the tensile dynamics simulation adopted in this paper, the order of tension required for the separation of the four polymers from the interface bond is PAA > PA > PEG > PP. In the interaction with polar ettringite substrate, three polar polymers show better bonding properties than non-polar PP, and the types of polar functional groups in the polymer have a key influence on the strength of the interaction.
Through the microscopic mechanism analysis of local structure, it is found that the polymer can form a Ca–O ionic pair with ettringite surface calcium atoms, resulting in a strong interaction. Oxygen atoms on PA, PAA and PEG non-backbone chains can provide sites to bind calcium ions, and oxygen atoms on the PEG backbone chain can also provide sites for calcium atoms, but, due to limitations in freedom, the coordination number value is relatively small.
In addition to the Ca–O ionic pair, the H bond between ettringite and polymer also determines the bond performance of the interface. The carboxyl group of PAA, the amino group of PA and the hydroxyl group of PEG provide sites for the formation of H bonds.
This study unveils the molecular-scale interface bond mechanism between ettringite and polymers, providing valuable insights into characterizing the bond properties of four types of polymers on ettringite surface. These findings offer guidance for advancing polymer-modified sulfoaluminate-cement-based materials.