Influence of MgO and Hybrid Fiber on the Bonding Strength between Reactive Powder Concrete and Old Concrete

The reactive powder concrete (RPC)was used as concrete repairmaterial in this paper.The influence of steel fiber, steel fiber +MgO, and steel fiber + MgO + polypropylene fiber (PPF) on the mechanical properties of RPC repair materials and the splitting tensile strength between RPC and old concrete was studied. Influences of steel fiber, MgO, and PPF on the splitting tensile strength were further examined by using scanning electronicmicroscopy (SEM) and drying shrinkage test. Results indicated that the compressive and flexural strengthwas improvedwith the increasing of steel fiber volume fraction.However, the bonding strength showed a trend from rise to decline with the increasing of steel fiber volume fraction. AlthoughMgO caused mechanical performance degradation of RPC, it improved bonding strength between RPC and existing concrete. The influence of PPF on the mechanical properties of RPC was not obvious, whereas it further improved bonding strength by significantly reducing the early age shrinkage of RPC. Finally, the relationship of drying shrinkage and splitting tensile strength was studied, and the equation between the splitting tensile strength relative index and logarithm of drying shrinkage was obtained by function fitting.


Introduction
Reactive powder concrete (RPC) was a new type of super high strength performance cement based composite materials which was invented by French Bouygues company [1,2] and used the Linear Packing Density Model (LPDM), Compressible Packing Model (CPM), and fiber reinforced technology.Compared with conventional concrete, the advantages of RPC were as follows.(1) Super high strength [3]: the weight of RPC structure dramatically reduced compared with the corresponding conventional concrete structures at the same loading condition [4].This characteristic expanded the application range of RPC in high-rise buildings and largespan structures.(2) Excellent durability: the coarse aggregate was removed during the process of RPC preparation.The internal defects of RPC were greatly reduced because of the particle size distribution optimized and internal structure uniformity increased which is caused by coarse aggregate removed [5].As a result, RPC had high resistance to deicing salts, freeze-thaw cycles, and aggressive environments.(3) High performance of impact behavior [6]: former research had been showing that the antipenetration performance of RPC was up to 3 times of C30 concrete [7], which made it have a broad application prospect in protective engineering and antiearthquake engineering.(4) Self-healing ability: the water-binder ratio of RPC materials was very low generally between 0.17 and 0.22, so there was a significant amount of unhydrated cement in finished products which might provide a self-healing potential after the generation of crack [8].(5) High performance of resistance to elevated temperature: researchers [9,10] reported that the cubic and axial compressive strength of RPC increased first and then decreased with the elevated temperature.The RPC had excellent capacity in resistance to high temperature compared with normalstrength concrete.
At present, the study of the RPC mainly focused on its preparation technology, mechanical properties, durability, and performance of RPC elements.The literature of using RPC as concrete repair materials was rare. Lee et al. [11] had been using RPC as the repair material; the results indicated that the RPC material showed a good repair performance.However, due to the low water-binder ratio, the shrinkage deformation of RPC was large.Its shrinkage deformation could not agree with the deformation of old concrete which led to the generating of internal stress.The concrete repair failed when cracks generating between RPC and old concrete caused by internal stress surpassed the interfacial bonding strength.The drying shrinkage reduced by adding a certain amount of steel fiber; however, the steel fiber had little effect on the early age shrinkage of RPC.In engineering practice, the early age shrinkage of concrete was mainly controlled by adding polypropylene fiber [12].Therefore, it might be a good method to inhabit early age shrinkage and drying shrinkage of RPC by hybrid fibers.In addition to inhibiting shrinkage, compensating the shrinkage of RPC by adding expansion additives was another effective way.The compensation for shrinkage was mainly due to the volume expansion caused by the hydration of expansion additives.The literature about using MgO as concrete expansive agent was familiar [13].
For a long period, the cement containing calcined MgO as delayed expansive agent in China had been used for dam concrete to compensate for temperature shrinkage [14].Compared with sulfoaluminate-type and CaO-type expansive additives, the hydration of MgO demanded less water, and the hydration products of Mg(OH) 2 are more stable in cement paste [15].Thus, the MgO expansive agent played a more important role in modern concrete.At present, using MgO as expansive additives to improve the shrinkage deformation of RPC was still very scarcely.The objectives of this work were as follows: using RPC as concrete repair material to study the influence of steel fiber, MgO expansive agent, and polypropylene fiber on the bond strength between RPC and old concrete, to explain reasons of the differences of bonding strength by shrinkage test and the microstructure analysis.The grain diameter of quartz flour was about 10 m.It is in a form of white powder, produced in Shanghai.The majority of mixes were produced using fine river sand whose particle size is from 0.075 to 0.6 mm.The water reducer used in this experiment was polycarboxylate superplasticizer and

Mix Proportion.
The cement used for old concrete was P.C325.The mix proportion of old concrete was shown in Table 3.The cement used in RPC was P.O425R.The mix proportion of RPC was shown in Table 4.
The meanings of codes in this study were as follows: M on behalf of MgO, S on behalf of the steel fiber, and P on behalf of polypropylene fiber.For example, the code M5S10P1 means that the dosage of MgO was 5% of the quality of cement, steel fiber volume fraction was 1.0%, the polypropylene fiber volume fraction was 0.1%, and so on.

Experiment Method
The RPC mixes were produced by a high speed mortar mixer in this experiment.At first, the cement, silica fume, quartz flour, quartz sand, and MgO should be put into the mixer for 3-minute dry mixing.The fiber should be added during the process of dry mixing.In order to make the fiber disperse uniformly, the dry mixing time should be prolonged as the volume fraction of fiber is increasing.After dry mixing, half volume water which contained half amount of water reducer was added during stirring process.The remaining water and water reducer would be added after 3 min.At last, mix about 10 min and then pour it into the required moulds.1.
The splitting tensile strength can be calculated as   = 2/ = 0.637(/), where  stands for splitting tensile failure load (N) and  stands for area of bonding surface (mm 2 ).The relative index  can be calculated as  =  , / , × 100%.In this formula,  , stands for the splitting tensile strength between RPC and old concrete;  , stands for the splitting tensile strength of whole old concrete.The shrinkage performance of RPC repair materials had a great impact on the bonding strength between the new concrete and old concrete.Studying the drying shrinkage performance of RPC was a main objective of this research.For drying shrinkage test, 40 mm × 40 mm × 160 mm prisms were cast for the determination drying shrinkage of RPC according to GB/T 29417-2012.After casting, the specimens should be cured for 7

Compressive and Flexural Strength of RPC.
Compressive and flexural strength of each sample was as shown in Figures 2 and 3.According to the experiment results of this work, it was known that the presence of steel fiber and MgO had great influence on the compressive and flexural strength of RPC.
The use of steel fiber led to the improvement of the compressive and flexural strength of RPC while the use of MgO as expansion additives decreased strength of RPC.The main reason was that the steel fiber played a role of bridge and dowel in RPC [16].The cohesive force between high elastic modulus steel fiber and cement matrix would act on a role of the resistance to crack when the load of RPC carried exceeded its ultimate load.So the compressive and flexural strength of RPC was elevated by adding steel fiber.The compressive and flexural strength obtained maximal value when the volume fraction of steel fiber was 1.5%.The value of S15 exceeded the sample-Con 36% and 69%.However, the steel fiber began to reunion together and decreased the flowability of RPC significantly when the volume fraction attained 1.5%.That is because the steel fiber took up some of mixing water; furthermore, there was not enough cement paste to wrap steel fiber and fill the gap with the increasing of steel fiber volume fraction.In addition, the steel fiber distributed randomly in three-dimensional RPC; the friction among the fibers increased with the increment of steel fiber which led to the decreasing of the RPC workability.
The mechanical strength of RPC declined with the dosage of MgO increasing.The compressive strength of M9S05 decreases 14% compared with S05 at 28 d.The decreased values were 8.4% and 19% when the steel fiber volume fraction was 1.0% and 1.5%, respectively.The variation tendency of flexural strength was likely to compressive strength.The reason for reduction in strength of RPC was that the hydration production C-S-H gel of RPC repair materials reduced as the content of cement reduced due to the increasing content of MgO.
The influence of PPF on the mechanical strength was shown in Figure 4.The results indicated that the effect of PPF on the mechanical strength was small when the volume fraction of steel fiber is fixed at 1.0%, and the dosage of MgO was the same.PPF was one of the polymer fibers with low elastic modulus and high ductility.It was difficult to undertake internal stress after RPC hardened.The elastic modulus of PPF used in this research was only about 3 GPa; this value was far less than the elastic modulus of the RPC.Thus, the main influencing factors of RPC mechanical property were volume fraction of steel fiber and dosage of MgO.

Split Tensile Strength.
The typical fracture surface of splitting tensile test was shown in Figures 4 and 5. Most of the failures occurred at the bonding surface between RPC and old concrete.This phenomenon indicated that the bonding surface was still the weakest link by using RPC as concrete repair material which was similar to other repair materials.There was almost no damage to RPC repair material after splitting tensile strength test because the strength of RPC was much higher than old concrete.However, the old concrete was crushed normally, and some part of it was bonding to the RPC repair material side.This phenomenon indicated that the bonding strength was very high between RPC repair material and old concrete.

Influence of Steel Fiber on Splitting Tensile Strength.
The splitting tensile strength of old concrete was 3.48 MPa at 28 days.It could be found that RPC performed well at the concrete repair from Figure 6.The value  of every sample exceeded 0.8 at 28 days.This result was very closely to the splitting tensile strength of old concrete as a whole.However, the literature reported that the value  of sample repaired with normal steel fiber enforced concrete was only 0.53 at 28 days [16].The splitting tensile strength of samples with steel fiber were all higher than the control sample.However, splitting tensile strength showed a trend of decline after rising first with the increasing of steel fiber volume fraction.The splitting tensile strength of sample with 1.0% steel fiber reached peak at different age.At 7 days, the order of splitting tensile strength was S10 > S05 > Con > S15; at 28 days the order was S10 > S05 > S15 > Con; at 90 days the order was S10 > S05 = S15 > Con.The splitting tensile strength declined significantly when the steel fiber volume fraction was 1.5%.It was even lower than the samples with 0.5% steel fiber at 7 days and 28 days.The main reason as mentioned in 4.1 was that the workability and flowability became worse with the increasing of steel fiber volume fraction.There was not enough cement slurry to wrap steel fiber and fill the gap between the bonding surfaces.The influence of MgO on the splitting tensile strength was shown in Figure 7.The results indicated that splitting tensile strength of all samples improved considerably with the addition of MgO.The splitting tensile strength showed a rising trend with the increasing of MgO content when steel fiber volume fraction was 0.5%.The trend of group with 1.0% and 1.5% steel fiber was similar to that in Figure 7(a).This trend was contrary with the trend of the compressive and flexural strength.The main reason was that the shrinkage deformation of RPC was restrained by the swelling effects of Mg(OH) 2 crystals which generated from the hydration of MgO [17].The bonding strength increased because the swelling effect narrowed the gap of deformation between the RPC repaired materials and old concrete.The swelling effect was more obvious with the increasing of MgO which led to the higher splitting tensile strength under the condition of same steel fiber volume fraction.It also can be found that the splitting tensile strength raised at first then decreased with the increasing of steel fiber when the dosage of MgO was the same.The peak value was obtained when the steel fiber volume fraction reached 1.0%.Therefore, in order to further research the influence of hybrid fiber composite MgO on splitting tensile strength, the volume fraction of steel fiber was fixed at 1.0% in next step.

Influence of PPF on the Splitting Tensile Strength.
In Figures 8(a)-8(c), the addition of PPF improved the splitting tensile strength.At the beginning, the growth trend was slow; however, it became larger when the content of PPF was 0.3%.The splitting tensile strength increased by 22.5%, 23.4%, and 24.4% at 7 days, 28 days, and 90 days when the content of PPF was 0.3% as in Figure 8(a).The growth rate was 27.5%, 28.2%, and 29.6% as in Figure 8(b) and 41.3%, 29.8%, and 28.7% as in Figure 8(c).It could be found that the positive hybrid effect was produced between steel fiber and PPF from the above data.The method of hybrid fiber composite MgO expansion agent significantly improved the repairing effect of RPC.

Drying Shrinkage of RPC.
The difference of deformation between RPC repair materials and old concrete was directly influenced by the drying shrinkage of RPC.The drying  shrinkage value of RPC at different ages in this experiment was tested.

Influence of Steel Fiber on the Drying Shrinkage of RPC Repair Materials.
The change of shrinkage of RPC repair materials with the increasing of the steel fiber volume fraction was shown in Figure 9.
The drying shrinkage of RPC gradually reduced with the increasing of steel fiber volume fraction.The value of drying shrinkage had fallen by 4.7%, 19.1%, and 31.4%,respectively, with the increase of steel fiber volume fraction at 7 days.At 28 days the drying shrinkage value decreased by 15.9%, 25.5% and 36.8%, and at 90 days it reduced by 24.8%, 32.9%, and 42.6%, respectively.By observing the growth trend of the curve, the drying shrinkage of sample without steel fiber showed an obvious growth after 7 days.The drying shrinkage of control group increased 46.6% at 90 days compared with the value of 7 days.Although the drying shrinkage of samples with steel fiber also increased after 7 days, the growth trend was slower.The growth rate after 7 days was 15.6%, 21.4%, and 22.8%, respectively, when the volume fraction of steel fiber was 0.5%, 1.0%, and 1.5%.The drying shrinkage of RPC was significantly inhibited by the addition of steel from the above experimental data.The reason for drying shrinkage decreased was that the distribution of steel fiber showed a threedimensional random state, the skeleton structure was formed by the lap joint between steel fibers and coupled with high elastic modulus of steel fiber itself, and the inner stress of RPC which was generated from hardening RPC matrix shrinkage was partly compensated.Although the samples with 1.5% steel fiber showed the best performance of antishrinkage, the splitting tensile strength of it was still lower than the samples  with 1.0% steel fiber which caused by the fiber reunion and workability reduced.10(a)-10(c) showed the influence of MgO on the drying shrinkage of RPC when the steel fiber volume fraction was 0.5%, 1.0%, and 1.5%, respectively.

Influence of MgO on Drying Shrinkage of RPC. Figures
The drying shrinkage reduced with the increase of dosage of MgO when the volume fraction of steel fiber was fixed from Figure 10.Compared with group S05, the drying shrinkage reduced by 8.9%, 18%, and 31.5%,respectively, with the increase of MgO in Figure 10(a).In Figure 10(b), the value reduced by 12.4%, 14.6%, and 33% compared with group S10.In Figure 10(c), the value reduced by 11.1%, 20.4%, and 35.2% compared with group S15.The experiment results indicated that the drying shrinkage of RPC was inhabited by MgO.The reason was that Mg(OH) 2 generated from the hydration of MgO caused the volume expansion.Researcher reported that the volume could swell 118% during the hydration of MgO.At the same time, the pressure caused by the growth process of Mg(OH) 2 crystal also leads to the expansion of the cement matrix.With the increase of dosage of MgO, more Mg(OH) 2 is generated which caused greater expansion pressure for the cement matrix.So the drying shrinkage continued to reduce with the increase of dosage of MgO.However, the deformation of RPC repair materials was decided by the competition between the hydration of MgO and cement [18].Theoretically, only under the condition of the ratio of water/MgO exceeding 0.45 could the MgO completely hydrate.The ratio of water/binder was only 0.2 in this experiment, and there was not enough water for the hydration of MgO, and so the drying shrinkage of RPC could only be partially compensated.That was different from general MgO concrete; the MgO content could hydrate completely in common magnesia concrete because water cement ratio was higher which could provide sufficient water for hydration reaction of MgO.Under this condition, the addition of MgO not only could compensate the early age shrinkage caused by cement hydration, but also even formed a microexpansion effect.

Influence of PPF on the Drying Shrinkage of RPC.
The elastic modulus of PPF was far lower than the steel fiber; the enforcement effect for concrete of it was not obvious.However, some literature reported that it could effectively reduce the early age shrinkage of concrete.Therefore, in order to achieve the goal of inhibiting the ultimate shrinkage of RPC, the measures of mix steel fiber with PPF for RPC repair materials should be considered.Figures 11(a)-11(c) showed that the influence of PPF mixed with steel fiber on the drying shrinkage of RPC under the condition of the content of MgO was the same.
As shown in Figures 11(a)-11(c), the drying shrinkage of RPC continuously reduced with the increasing of PPF when the volume fraction of steel fiber and dosage of MgO were the same.The drying shrinkage reduced obviously at 90 days after the PPF blended with steel fiber.The drying shrinkage gradually decreased with the increase of PPF volume fraction.The drying shrinkage reduced by 18.5%, 28.1%, and 33.3%, respectively, with the increase of PPF compared with group M5S10 in Figure 11(a).In Figure 11(b), the value reduced by 24.1%, 29.6%, and 34.7%, respectively, compared with group M7S10.In Figure 11(c), the value reduced by 16.3%, 26.3%, and 39.3%, respectively, compared with group M9S10.The experiment results indicated that the steel fiber and PPF showed obvious positive hybrid effect for drying shrinkage of RPC repair material.There were more single fibers for PPF per unit mass because of the density of which was small, so it could combine closely with the cement matrix.After being blended with steel fiber, the PPF was distributed more uniformly and formed a three-dimensional interleaving support network in the RPC repair material.The early age shrinkage of RPC was reduced by PPF because the pore structure of RPC was further improved, the bleeding path was reduced, and the capillary stress was dispersed and reduced too [19].Because of the hardening of cement matrix and the increasing of strength, the bonding strength between the fiber and concrete substrate strengthened gradually and the tensile stress was mainly undertaken by the high elastic modulus of steel fiber; thus different elastic modulus of steel fiber and PP fiber played different roles of inhibition of shrinkage at the different hydration stage of RPC.By decreasing the early age shrinkage, the final shrinkage value of RPC repair materials was further reduced by PPF.
The hybrid fiber also improved the pore structure and minimized the pore size of RPC at different scales and different levels in three dimensions.The uniformity of RPC was further improved; as a result, the moisture escaping was effectively inhibited and the stress of capillary was reduced too.At the same time, the fiber with different elastic modulus dispersed the contraction stress in different periods of hydration of RPC, the local stress concentration phenomenon was prevented, and at last the shrinkage performance of RPC was greatly improved.12(a) that the steel fiber was tightly bound with the matrix of RPC, and the bond stress between them was large, which could in some extent counteract the drying shrinkage and internal tensile stress of RPC. Figure 12(b) indicated that the PPF is present in a form of leaf shape and its cross-sectional area was far less than that of steel fiber.The number of PPF per unit mass was more than that of steel fiber which caused more firmly anchorage with RPC matrix and more closely self-locking overlap between the fibers.As a result, the final shrinkage values of RPC could be further reduced by the mixed PPF on the basis of steel fiber.
The microstructure of MgO and the hydration product of it were shown in Figures 13(a)-13(b).MgO was in a flocculent form whose particle size was small.What is more, SEM analysis indicated that morphology of MgO particle was mostly anomalistic body, the surface of which was coarse and lax structure.According to this phenomenon, it might be speculated that the hydration activity of MgO was high.Figure 13(b) showed that the hydration product of MgO after 1 d under the condition of water to binder ratio was 0.45.It was found that the morphology of MgO changed obviously, and more flaky Mg(OH) 2 was formed, which indicated that the hydration of it was fast, and the volume was also swelled.Therefore, the addition of MgO could obviously inhibit the shrinkage of RPC.
In Figures 14(a)-14(b), Mg(OH) 2 was wrapped by the hydration products of cement in RPC.The white dotted area was Mg(OH) 2 crystals, and the needle-like crystals in Figure 14

The Relationship between Shrinkage Value and Splitting
Tensile Strength.The bonding strength was greatly influenced by the internal stress caused by the difference of deformation between repair materials and old concrete.This effect was directly reflected in the splitting tensile strength between RPC repair materials and old concrete.In this experiment, the age of old concrete had been exceeding 90 days, so the deformation had been basically stable.The shrinkage deformation of RPC repair material should be approximately considered as the deformation differences between RPC and old concrete.The relationship between the RPC repair material shrinkage rate and the splitting tensile relative index was studied in this part.Although the drying shrinkage of RPC with 1.5% steel fiber was lowest, the splitting tensile strength on the contrary was lower because of the agglomeration of steel fiber.Therefore, the group with 1.5% steel fiber should be eliminating when to study the relationship between drying shrinkage and splitting tensile strength.The logarithm of shrinkage value as the abscissa, the value  as the ordinate, and the relationship between them were shown in Figure 15.

Particles of MgO
According to fitting result, the relationship between splitting tensile relative index and shrinkage rate was shown in  = 1.45 log () + 5.26, 28 d  = 0.898. (1) As shown in (1), the splitting tensile relative index reduced greatly as the shrinkage decreased.

Conclusion
In this paper, the RPC was used as concrete repair material, and the influence of hybrid fiber mixed with MgO on the splitting tensile strength between RPC and old concrete was studied.Moreover, the drying shrinkage deformation of RPC was studied too.Through this research, adopting the method of hybrid fibers mixing with MgO significantly reduced the shrinkage of the RPC, which greatly improved the bonding stress between RPC and old concrete.The conclusions of this research were as follows: (1) The compressive and flexural strength of RPC increased with the content of steel fiber increasing.The addition of MgO reduced the mechanical strength of RPC, and the compressive and flexural strength decreased with the increasing of dosage of MgO.PPF had no obvious effect on the mechanical properties of RPC.(2) RPC displayed excellent repair potentials and possessed high bonding strength with old concrete.The splitting tensile strength reached peak when the steel fiber volume fraction was 1.0%.However, steel fiber began to reunion when the volume rate came to 1.5% which caused the splitting tensile strength to decrease.(3) The volume expansion caused by hydration of MgO partly compensated the shrinkage of RPC, which led to the increasing of splitting tensile strength.Although the addition of MgO reduced the mechanical properties of RPC, it played a positive role for the bonding strength between RPC and old concrete.
(4) Blending PPF on the basis of steel fiber and MgO reduced the early shrinkage of RPC repair materials; as a result the ultimate shrinkage of RPC repair material was further reduced and the bonding strength was further improved too.The PPF and steel fiber showed obvious positive hybrid effect.
(5) The relationship between shrinkage rate of RPC and splitting tensile strength was studied.It showed an obvious linear relationship between tensile splitting relative index and logarithm of shrinkage rate.The splitting tensile relative index decreased gradually with the increasing of shrinkage rate.

Figure 2 :
Figure 2: Influence of MgO and steel fiber on mechanical properties of RPC.

Figure 3 :
Figure 3: Influence of polypropylene fiber on mechanical properties of RPC.

Figure 4 :
Figure 4: The side of RPC repair material.

Figure 5 :
Figure 5: The side of old concrete.

Figure 6 :
Figure 6: Influence of steel fiber on splitting tensile strength.
Splitting Tensile Strength.Influence of MgO on the splitting tensile strength as shown in Figures 7(a)-7(c).

Figure 7 :
Figure 7: Influence of MgO on the splitting tensile strength.

Figure 8 :
Figure 8: Influence of polypropylene fiber on the splitting tensile strength.

Figure 9 :
Figure 9: Influence of steel fiber on the drying shrinkage property of RPC.

4. 4 .
Microstructure of RPC.The morphology of fibers in RPC was shown in Figures 12(a)-12(b).It was visible in Figure

Figure 10 :
Figure 10: Influence of MgO on the drying shrinkage property of RPC.

Figure 13 :Figure 14 :
Figure 13: Microstructure of MgO and hydration products of it.

Figure 15 :
Figure 15: Relationship between  and the logarithm of drying shrinkage ratio.

Table 1 :
Chemical composition of cement.

Table 2 :
The properties of different fibers.

Table 3 :
Mix proportion of old concrete/kg/m 3 .
the water-reducing rate of it exceeded 35%.Silica fume was supplied by Sanyuan Company in Gansu province which existed in pale blue powder form and contains more than 94% reactive silicon dioxide content.The specific surface area of it exceeded 25 m 2 /g.The aggregate used for preparation of old concrete was gravel whose particle size was not more than 25 mm.The sand used in the old concrete was medium sand.The MgO expansive agent used in this research was produced by Haicheng Company in Liaoning province, whose
The dimension of old concrete was 100 mm × 100 mm × 50 mm, and the age was 90 days.Before casting RPC, the interface should be handled as follows.At first, remove the laitance which exists in surface of superficial aggregate with metal wire brush.Then, chisel the bonding surface of existing concrete by bush hammer.At last, clean the bonding surface for splitting tensile test.The bonding surface needed to be wetted before pouring RPC into moulds.The samples should be cured for 7 days under standard conditions before demoulding.The splitting tensile strength of different samples would be tested in age of 7 days, 28 days, and 90 days.The diagram of splitting tensile test was shown in Figure of MgO particles.During this procedure, the large expansion pressure and Mg(OH) 2 crystal growth pressure were caused because of the restriction of the cement matrix which led to the expansion of the matrix of RPC.Therefore, the shrinkage of RPC decreased as the addition of MgO is increasing.The Mg(OH) 2 crystal mainly existed around the MgO particles.Because the internal of RPC was a strong alkaline environment, it had a strong influence on the solubility, hydration degree, nucleation site, crystal growth, and morphology of Mg(OH) 2 .Due to the high concentration of OH − in RPC pore solution, the diffusion of Mg 2+ was limited during the process of hydration.As a result, the supersaturated solution of OH − and Mg 2+ could only be formed around the hydration region of MgO which caused Mg(OH) 2 to firstly generate around the MgO particles and form a layer.With the increasing of age, water should pass through Mg(OH) 2 layer to continue the hydration reaction.Therefore, the shrinkage compensation of MgO was large in the early stage of hydration and reduced at increasing of age.