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    Rheological behavior of fresh cement pastes with a graphene oxide additive

    2017-01-07 04:21:51WANGQinWANGJianLUChunxiangCUIXinyouLIShiyuWANGXi
    新型炭材料 2016年6期
    關鍵詞:漿體水泥漿剪切

    WANG Qin, WANG Jian, LU Chun-xiang, CUI Xin-you, LI Shi-yu, WANG Xi

    (1. Beijing Key Laboratory of Green Building and Energy Efficiency Technology, Beijing College Engineering Research Centre of EngineeringStructure and New Material, Beijing University of Civil Engineering and Architecture, Beijing100044, China;2. National Engineering Laboratory for Carbon Fiber Technology, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan030001, China)

    Rheological behavior of fresh cement pastes with a graphene oxide additive

    WANG Qin1, WANG Jian1, LU Chun-xiang2, CUI Xin-you1, LI Shi-yu1, WANG Xi1

    (1.BeijingKeyLaboratoryofGreenBuildingandEnergyEfficiencyTechnology,BeijingCollegeEngineeringResearchCentreofEngineeringStructureandNewMaterial,BeijingUniversityofCivilEngineeringandArchitecture,Beijing100044,China;2.NationalEngineeringLaboratoryforCarbonFiberTechnology,InstituteofCoalChemistry,ChineseAcademyofSciences,Taiyuan030001,China)

    The rheological properties and morphology of fresh cement pastes with different contents of graphene oxide (GO) were investigated by a rheometer and a laser confocal scanning microscope, respectively. The rheological data were fitted by the Modified-Bingham (M-B) model and Herschel-Bulkley (H-B) model. A mechanism for the effect of GO on the rheological properties is proposed. Results show that the cement particles are re-agglomerated and new flocculation structures are generated by the addition of GO. The new flocculation structures significantly alter the rheological properties of the pastes. The degree of re-agglomeration and the number of new flocculation structures increase with increasing GO content, leading to a sharp increase in the yield stress, plastic viscosity and the area of the hysteresis loop. GO can effectively reduce the degree of shear-thickening, and increase the critical shear rate and the stability of the pastes.

    Graphene oxide; Cement paste; Rheological property; Flocculation structure

    1 Introduction

    With the advance in concrete construction technologies, researchers have paid more attention to not only the concrete strength and durability, but also the consistency, workability and rheological behavior of the cement paste. The suitable fluidity and viscosity of fresh cement slurry is key to assure the stability and workability to avoid aggregate segregation. Due to direct impact to consistency, workability, setting and hardening state of concrete, the rheological behavior of the fresh cement paste is crucial for achieving the desired properties of the finally solid concrete[1-5].

    As the traditional cement has relatively simple composition, most of the studies focus on the effect of various additive including the water-reducing regents, fly ash, silica fume and slag on the rheological properties[6-10]. Recently, with the emerge of nano-materials in building materials, the focus has shifted to the effect of nano-materials on the rheological properties of cement paste, such as nano-SiO2, nano-TiO2, nano-ZnO and carbon nanotubes, etc.[11-14].

    Graphene oxide (GO) is an exfoliation product of graphite oxide and the most important chemical derivative of graphene. The unique mechanical and chemical properties of GO make it an ideal candidate for reinforcement of composite materials[13-15]. The existence of abundant functional groups, such as hydroxyl, carboxyl and epoxy, makes GO highly chemically active and hydrophilic, which results in the homogeneous dispersion of the GO nanosheets in aqueous cement paste phase. GO nanosheets also affect the properties of cement hydration crystals, which in turn creates hardened cement pastes with increased flexural and compressive strength. According to the works reported by Lv[15], Pan[16]and Wang[17], the use of GO nanosheets offers a new mechanism to improve the compressive and flexural strength of concrete. It effectively minimizes the agglomeration and enhances the hydration reaction of cement. Nevertheless, with the addition of GO, the plastic viscosity of cement paste increases dramatically. Zhang[18]et al. demonstrated that graphene oxide encapsulated silica fume better improves the rheological properties of cement paste than single-doped GO due to the synergetic effect of the surface activity of GO and the dimentional effect of SF.

    The thickening effect of GO in cement paste may become a disadvantage when applied practically; however, the improvement on the strength and toughness makes it beneficial, which thus has been the focus of many researchers. On the other hand studies to quantify the impact on the rheological properties are scarce. A solid understanding on the correlation between GO and the rheological behavior of cement paste is important to evaluate GO as a new additive, which is the focus of this study.

    In this paper, the effect of GO on the rheological parameters of cement paste is studied and the micro-morphology of cement paste is investigated using Laser confocal scanning microscope (LCSM). Based on the results, the effect of GO on the rheological properties are quantified and a mechanism is proposed.

    2 Experimental

    2.1 Raw materials

    Pure Grade Portland Cement type PI 42.5 was used to eliminate the effect of mineral mixtures on the tests. The selected physical and chemical properties was shown in Table 1 and 2 as supplied by cement manufacture. GO in water dispersion with a solid content of 3 g/L was provided by Institute of Coal Chemistry, Chinese Academy of Sciences.The GO sample was characterized using AFM and TEM and the results are illustrated in Figs. 1(a) and 1(b). The oxygen-carbon groups of GO are confirmed with FTIR, as shown in Fig. 1(c). Polycarboxylate superplasticizer (PCE) with a solid content of 15 wt% is produced by Sika.

    Table 1 Physical properties of the Portland cement.

    Table 2 Mineralogical components of the Portland cement.

    2.2 Preparation of cement paste

    The W/C (water to cement ratio) of rheological testing cement paste in this paper is kept at 0.35. The dosage of water-reducing agent is 0.8 wt% of the cement. The graphene oxide dispersion is added accordingly to make sure the equivalent GO is 0.01 wt%, 0.03 wt% and 0.05 wt% of the cement. The formula is shown in Table 3. The cement paste is prepared according to the procedure in GB/T8077-2000 of China. Water and graphene oxide dispersion or water-reducing agent are weighed and premixed accordingly. The mixture is then added to the cement in a container with agitating. The sample is stirred at a low shear rate of 62 r/min for 2 min, placed under static condition for 10 s, and then stirred at a higher shear rate of 125 r/min for 2 min to assure the homogeneity of cement paste[19]. As soon as the mixing stops, the sample is poured into the sample cup to carry out the rheological measurement.

    Table 3 Formulations of cement pastes.

    2.3 Testing methods

    2.3.1 Rheological measurements

    The rheological parameters of cement paste were characterized by BROOKFIELD RST-CC rheometer from and the data was analyzed using the software RHE3000. The sample cup FTK-RST and spindle CC3-40 were used. 60 mL of the cement paste is poured to the sample cup. The selected spindle is then placed in it. They are attached to the rheometer together. After the spindle was tightened, the testing protocol was carried out. Controlling the shear rates (CSR) method wasemployed.During a test, the shear rate was increased from 5 to 150 s-1then back to 5 s-1with 16 speed intervals.

    Currently, Bingham model is commonly used to characterize the rheological property of cement pastes. The plastic viscosity (ηp) and shear stress (τ0) can be obtained from the slop and intercept of the linear relationship between shear stress and rate as shown in the equation below:

    τ=τ0+ηp·γ

    (1)

    whereτis the shear stress (Pa),ηpis the plastic viscosity (Pa·s),γis the shear rate (s-1), andτ0is the yield stress (Pa).

    If the cement paste exhibits high pseudo-plastic or shear-thickening behavior, shear stress may not be calculated or the obtained value is lower than the actual one[20]. For this reason, the Bingham model is modified to better extrapolate the shear stress and plastic viscosity. The mathematic equation of the Modified-Bingham (M-B) model can be elaborated as below[21, 22].

    τ=τ0+ηp·γ+c·γ2

    (2)

    whereτis the shear stress (Pa),ηpis the plastic viscosity (Pa·s),γis the shear rate (s-1),τ0is the yield stress (Pa), c is the constant.

    In order to quantify the shear-thickening performance of cement paste, the shear stress and shear rate data are fitted using the Herschel-Bulkley (H-B) model usually[23, 24]. The model is given by:

    τ=τ0+k·γn

    (3)

    whereτ0is the yield stress, k is the consistency, andnis the characteristic of the mixture’s behavior. The mixture is shear-thinning whenn<1 and shear-thickening whenn>1. Whenn>1, cement pastes were shear-thickening, and with the increase of the value ofn, the shear-thickening was more obvious.

    2.3.2 Microstructures characterization

    Nikon Ti-E Laser Confocal Scanning Microscope (LCSM) was used to investigate the morphology and microstructures of fresh cement paste. Rhodamine b was chosen as the fluorescence dye in this experiment. The mixed water is replaced by Rhodamine b solution with the concentration of 7×10-3g/L with the W/C ratio is 10. The cement paste is mixed for 30 s. After staying static for 30 s, a small amount of the suspension is placed on the glass slide for test[25-27].

    3 Results and discussion

    3.1 The effect of the GO on the strength and fluidity of the cement paste

    Table 4 shows the effect of GO on the fluidity of fresh cement paste and the flexural and compressive strength of harden cement paste. The results show that the flexural strength and compressive strength increase by 90.5% and 40.3% at 28 days at a GO addition of 0.05 wt%, respectively. However, the fluidity of cement paste decreases significantly with the increase of GO dosage. It is obvious that the presence of GO changes the rheological properties of cement paste, which leads to a significant thickening effect. The fluidity of cement paste is closely correlated with the workability of concrete. Therefore, understanding the rheological behavior of the cement paste with GO is critical for the development of reliable GO cement composites.

    Table 4 Effect of GO on paste fluidity and strength of harden cement pastes[17].

    3.2 GO characterization

    Fig. 1 GO characterization (a) nanosheet size and thickness of GO by AFM. (b) GO image by TEM and (c) Oxygen-containing functional groups of GO by FTIR.

    3.3 The effect of the GO on the rheological properties

    3.3.1 The effect of the GO on the shear stress and yield stress of the fresh cement paste

    The shear stress-shear rate data are fitted using M-B model, and use this model to get the yield stress of cement paste. The effect of GO on the shear stress and yield stress of cement paste is shown in Fig. 2(a) and 2(b) respectively. Table 5 shows the rheological parameters and the fitted results by using the M-B model.

    From Fig. 2(a), it can be seen that the shear stress of fresh cement paste increase with the shear rate at different GO dosage. And the more is the dosage of GO, the quicker is the increasing rate of shear stress. From Fig.2 (b), the plastic viscosity and yield stress of cement paste sharply increases with rising dosage of GO, especially when dosage higher than 0.01%. There exists a certain correlation between theτ0andηp, but theτ0is growing at a much higher rate thanηp. Theηpof the cement paste increases from 0.06 Pa·s to 0.10, 0.21 and 0.25 Pa·s and theτ0of the cement paste increases from 1.10 Pa to 1.48, 6.42 and 11.3 Pa when the dosage of GO increases from 0 to 0.05 wt%. Theτ0is the maximum stress to prevent cement paste occurring plastic deformation,ηpreflects the deformation speed of cement paste system. So with the increase of the GO, the deformation of cement paste becomes more difficult under the external force.

    Fig. 2 Effect of GO addition on the (a) shear stress, (b) yield stress and (b) plastic viscosity of the fresh cement pastes. Table 5 Rheology parameters of fresh cement pastes fitted by M-B model.

    TypeFittingequationτ0/Paηp/(Pa·s)CorrelativecoefficientBlankτ=1.10+0.06·γ+2.97×10-4·γ21.100.060.99846G32501τ=1.48+0.10·γ+2.37×10-4·γ21.480.100.99937G32503τ=6.42+0.21·γ+4.02×10-4·γ26.420.210.99962G32505τ=11.30+0.25·γ+3.57×10-4·γ211.300.250.99946

    3.3.2 The effect of the GO on the shear deformation of the fresh cement paste

    The shear deformation refers to the shear-thinning phenomenon and shear-thickening phenomenon of the cement paste. In this section, the effect of the GO on the shear deformation of the fresh cement paste was studied. Fig. 3(a) shows the fitted curves by H-B model, Table 6 shows the fitted results of shear rate-shear stress curves by H-B model and Fig.3(b) shows the effect of GO on the apparent viscosity of cement paste.

    Fig. 3 Effect of GO dosage on the shear deformation of the fresh cement pastes: (a) shear rate- shear stress curves and (b) shear rate- apparent viscosity curves.

    As can be seen in Fig.3(a) and Table 6, the pseudoplastic index (n) of cement pastes decreases from1.57 to 1.37, 1.33 and 1.27 when the dosage of GO increases from 0 to 0.01, 0.03 and 0.05 wt%. The flow curves obtained at low dosage of GO exhibited higher shear-thickening response than those obtained at higher dosage of GO. Fig. 3(b) show that the apparent viscosity decrease firstly and then slowly increase and there are inflection points in apparent viscosity-shear rate curves when shear rate increases. The corresponding parameters of the inflection point are critical shear rate (γcrit), critical shear stress (τcrit) and minimum viscosity (ηmin), respectively. This indicated that the cement paste is divided into two stages by inflection point, shear-thinning stage (left sides) and shear-thickening stage (right sides)[29, 30]. With the increase of the GO dosage from 0 to 0.01, 0.03 and 0.05 wt%, theγcritof cement paste increases significantly from 21.5 s-1to 64.4,150.4 and 193.3 s-1.This suggest that the cement paste with higher GO exhibits the shear-thinning effect at the higher shear rate. These results are absolutely different from those obtained from other admixtures, such as PCE[22]and fly ash[29]. Previous research has shown that the cement paste incorporating PCE exhibit a higher degree of pseudoplastic properties compared to conventional paste[23, 28].Some researchers think that the PCE acting by steric effect exhibited high shear-thickening response, and this behavior is more pronounced for paste made with Portland cement and low W/C[24]. On the basis of the above analysis, the results indicate that the GO can effectively reduce the degree of shear-thickening, improve the critical shear rate and increase the stability of the fresh cement paste.

    Table 6 Rheology parameters of fresh cement pastes fitted by H-B model.

    3.3.3 The effect of the GO on the thixotropic property of the fresh cement paste

    The thixotropic properties of the fresh cement paste are closely related to the micro-structures of the cement paste. The effect of GO addition on the thixotropic property of the fresh cement paste is shown in Fig. 4.

    From Fig.4 (a), a loop is observed between the ascent curve and the descent curve. The integrated hysteresis loop area represents the degree of thixotropy. The integration method is shown below. Through the polynomial fitting, the mathematic functions of the curves of the ascent stage and descent stage can be obtained. And the area of hysteresis loop can be calculated using the integral equation below.

    (4)

    whereSis the area of hysteresis loop (Pa/s);x1andx2are the initial shear rate and final shear rate, respectively;Y1andY2are the functional relationship of the curves of ascent stage and descent stage. The areas of hysteresis loop of the samples are listed in Fig. 4(b).

    Fig. 4 Effect of GO dosage on the thixotropic property of the fresh cement paste.

    The samples exhibit thixotropic properties, which indicate possible structures changes in cement paste. In the ascent stage, the cement paste contains a large quantity of flocculated structures, which is hard to be broken and then results in a higher shear stress at a lower shear rate. In the descent stage, due to most of the flocculation structures has been broken at the ascent stage, a large number of free cement particles and smaller flocculation structures form, and then reduce the internal friction of the paste which results in a lower shear stress at same shear rate compared with the ascent stage. Thus, the more are the number of flocculated structures, the larger are the area of hysteresis curve encircles which indicates the fresh cement paste has a higher thixotropic property.

    In Fig.4, as the thixotropic effect is time dependent, the shear stress recovers when the shear is removed as shown in the curves where the loops close when back to lower shear rate. It can also be seen that the area of hysteresis loop increases with dosage of GO. According to the integral calculated result, the loop area with 0.01 wt%, 0.03 wt% and 0.05 wt% of GO is 101%, 186% and 289% of that of the blank sample, which is attributed to the abundant flocculation structures in the fresh cement paste. The higher the GO dosage, the more it is flocculated.

    3.4 Effect of GO on the morphology of flocculation structures of the fresh cement paste

    The morphology and inter structures of the different types of fresh cement paste were characterized by LCSM, shown in Fig. 5 and Fig.6. To show the effect of GO on the flocculation structures of cement paste, three types of cement paste were chosen to be investigated (1) without PCE (2) with PCE and (3) with PCE and GO.

    At a water/cement ratio 10, the existence stage of the hydrated cement particles without any admixtures was illustrated in Fig. 5. The red background presents water, as Rhodamine B is employed as the fluorescent agent. When a water-reducing agent is absent, the cement paste particles will sediment as soon as agitation is removed. The majority of cement particles settle on the bottom of the container with particles smaller than 10 μm suspended in supernatant. The image of the supernatant suspension by CLSM is illustrated in Fig.5a. The image of the settled particles is illustrated in Fig.5b. From Fig.5a, it can be seen that the cement particles with the smaller size uniformly dispersed in water, without flocculation, while abundant irregular flocculated aggregations are seen on the bottom of the paste.

    Fig. 5 The existence stage of the hydrated cement particles without admixtures: (a) supernatant suspension and (b) settled particles.

    Fig. 6 Effect of GO dosage on the morphology and inter structures of the fresh cement pastes: (a) 0%, (b) 0.01%, (c) 0.03% and (d) 0.05%.

    When the addition of water-reducing agent is added, the flocculation structures of the cement paste is retarded and the cement paste exhibits an excellent stability. After static aging for 30 s, no evident solid/liquid separation was observed. From Fig. 6(a), it can be seen that with water-reducing agent, large particle aggregations are scarce.The particles are homogenously dispersed except a few agglomerations as circled in the image.

    The morphology of the cement particles are illustrated in Fig. 6(b)-6(d), when both the water reducing and GO are presented. With an addition of 0.01 wt% of GO, slight aggregation of cement particles is seen in Fig. 6(b). When the dosage of GO is increased to 0.03 wt% (Fig.6(c)) or 0.05 wt%(Fig.6 (d)), agglomeration of cement particles becomes more popular. Particularly, when the GO addition reaches 0.05 wt%, a large quantity of flocculation structures is seen and individually dispersed cement particles are very scarce. It also can be seen that the flocculation structures with GO is more packed than that of blank sample where no water reducing agent is used.

    It is evident that the presence of GO alters the flocculation structures and the flocculation structures are much looser and easily to be broken, which is very different from that of the cement paste without PCE. And this is also accordance with the afore-mentioned results that the Bingham fluid model can't be applied to calculate the shear stress at the existence of GO. The addition of GO increases the re-arrangement of flocculation structures and improves the pseudo-plastic property of the fluid.

    3.5 The mechanism of effect of GO on the rheological properties of the cement paste

    Considering the results obtained from the rheological behavior and the images obtained by LCSM. The mechanism of effect of GO on the rheological property of the fresh cement paste is illustrated in Fig. 7.

    Fig. 7 Schematic illustration of the formation of flocculation structures (a) cement paste without PCE, (b) cement paste with PCE and (c) cement paste with PCE and GO.

    The re-arrangement of the flocculation structures leads to the unique rheological properties of the cement paste. With the increase of GO, the number of new flocculation structures increase, leading to a sharp increases in the yield stress, plastic viscosity and the area of the hysteresis loop of cement paste, as illustrated in Fig.2 and 4. Due to the loose structures and weak intermolecular forces of the new agglomeration of cement particles, with the increase the shear rate, the apparent viscosity of cement paste exhibits a firstly abrupt decline, and then a plateau and ultimately a slow increase, as illustrated in Fig.3 (b). With the increase of shear rate, the flocculation structures have been destroyed by the rotor, result in the decrease ofthe apparent viscosity. The cement paste shows the shear-thinning behavior. In the same time, the more is the number of the new flocculation structures, the higher is the critical shear rate. When the increase of shear rate exceed the critical shear rate (γcrit), the cement paste with a more loosen and smaller flocculation structures exhibits a shear-thickening behavior, which is similar to the result obtained from the cement paste with only PCE[22]. This results are different with the cement paste with initial flocculation structures which only exhibits a shear-thinning behavior[23]. At a higher shear rate, the new flocculation structures of cement paste are divided into smaller flocculation structures which contribute to the stability of the cement paste. This phenomenon is elaborated by the theory of "order-disorder transition" in the literature[32]. With the increase of GO, the degree of shear-thickening of cement paste is reduced and the stability of the cement paste increased.

    4 Conclusions

    The effects of GO on the rheological parameters of cement paste was investigated in this paper. Rheological measurement and CLSM are used to investigate the physical properties and flocculation structures of cement paste. The specific findings are summarized below:

    With the increase of the GO dosage, the shear stress of fresh cement paste increase with the shear rate at different GO dosages. And the more is the dosage of GO, the quicker is the increasing rate of shear stress. The plastic viscosity and yield stress of cement paste sharply increases with rising dosage of GO, especially when dosage higher than 0.01 wt%. The dosage of GO has a noticeable thickening effect.

    The pseudo-plastic index of cement pastes decreases when the dosage of GO increases. The flow curves obtained at low dosage of GO exhibited higher shear-thickening response than that obtained at higher dosage of GO. The GO can effectively reduce the degree of shear-thickening, improves the critical shear rate and increases the stability of the fresh cement paste.

    With the increase of the dosage of GO, the cement paste becomes more thixotropic, which indicates that the presence of GO enhances the formation of flocculated structures. The presence of GO alters the flocculation structures and the flocculation structures is much looser and easily to be broken, which is very different from that of the cement paste without PCE.

    It can also be observed from CLSM that the addition of GO result in a significant growth of the flocculation structures, which is accordant with the results from the rheological data. In conclusion, the addition of GO results in the re-arrangement of flocculation structures, which is attributed to the high specific surface area and the abundant quantity of oxygen-containing functional groups of GO. The new flocculation structures are bonded by intermolecular force.The new flocculation are smaller in size, more quantity, lower free water be packed and the whole structures is relatively loose,compared to the initial flocculation structures. This provides a novel way to control the cement paste properties and a quantitative understanding of the potential use of graphene oxide in cement industry.

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    [30] 謝友均, 陳小波, 馬昆林, 等. 石灰石粉對水泥-粉煤灰漿體剪切變稀和剪切增稠的影響[J]. 建筑材料學報, 2015, 18(5): 824-829. (Xie Y J, Chen X B, Ma K L, et al. Effects of limestone powder on shear thinning and shear thickening of cement-fly ash paste[J]. Journal of Building Materials, 2015, 18(5): 824-829.)

    [31] Zhang Y, Kong X. Correlations of the dispersing capability of NSF and PCE types of superplasticizer and their impacts on cement hydration with the adsorption in fresh cement pastes[J]. Cement & Concrete Research, 2015, 69(69): 1-9.

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    1007-8827(2016)06-0574-11

    氧化石墨烯水泥漿體流變性能的定量化研究

    王 琴1, 王 健1, 呂春祥2, 崔鑫有1, 李時雨1, 王 皙1

    (1.北京建筑大學 土木與交通工程學院 工程結構與新材料北京市高校工程研究中心 綠色建筑與節(jié)能技術北京市重點實驗室,北京100044;2.中國科學院山西煤炭化學研究所 碳纖維制備技術國家工程實驗室,山西 太原030001)

    采用流變儀和激光共聚焦顯微鏡對不同氧化石墨烯(GO)摻量的新拌水泥漿體的流變參數以及漿體微觀形態(tài)進行了定量化研究,并采用Modified-Bingham (M-B)模型和Herschel-Bulkley (H-B)模型對所測數據進行了擬合處理,提出了GO影響新拌水泥漿體的作用機理。結果表明,GO的摻入可以使新拌漿體中在減水劑作用下分散的水泥顆粒發(fā)生再次凝聚,形成重組絮凝結構,且隨著GO摻量的增加,重組絮凝結構的數量越多,從而使得漿體流變性發(fā)生顯著變化。一方面,新拌漿體的塑性粘度、屈服應力以及觸變性隨GO摻量的提高而顯著增加。另一方面,GO的摻入提高了新拌漿體的臨界剪切速率,使其在較大剪切速率下的流變行為仍然表現為剪切變稀;降低了漿體的剪切增稠程度,提高了漿體的穩(wěn)定性。

    氧化石墨烯; 水泥漿體; 流變性能; 絮凝結構

    TB321

    A

    國家自然科學基金(51508020); 北京市教育委員會基金資助項目(KM201510016003); 北京高校創(chuàng)新團隊建設與教師職業(yè)發(fā)展計劃項目(IDHT2013).

    王 琴,講師. E-mail: wangqin@bucea.edu.cn

    Foundationitem: National Natural Sciences Foundation of China (51508020); Beijing Educational Commission (KM201510016003); Beijing College Innovation Team-building and Teacher Career Development Project (IDHT2013).

    WANG Qin, Lecturer. E-mail: wangqin@bucea.edu.cn

    10.1016/S1872-5805(16)60033-1

    Receiveddate: 2016-08-15:Reviseddate: 2016-12-10

    English edition available online ScienceDirect (http:www.sciencedirect.comsciencejournal18725805).

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