1.Introduction

Shotcrete or sprayed concrete,a cement-based mixture projected pneumatically in high velocities(ACI CT_13,2013),is often used by the mining industry(ACI 506.5R-09,2009;ASS,2010;Martin et al.,2011).The flexibility of shotcrete makes it an effective alternative to conventional concrete in rock support,tunnel lining,and concrete repair.For example,the pneumatic projection allows shotcrete to be applied quickly on the uneven substrate surfaces,acting as excavation stabilization and arch lining in mines(Höf l er and Schlumpf,2006).In another instance,shotcrete had been found to provide capable ground supports in underground mines,preserving beams and maintaining confinement of the surrounding rock(Morissette et al.,2017).Such results have led the mining industry to use over 700,000 m3of shotcrete per year in North America and Australia(Rispin and Brooks,2001;Stefan,2009).

Although shotcrete is widely and frequently used,cracking in shotcrete construction is a common issue,resulting in structural failures,falling rocks,increasing maintenance costs,and delaying production schedule(Drover and Villaescusa,2015;Poisel et al.,2016;Lewis et al.,2017).Ground movement and shrinkage of shotcrete are the two primary sources for cracking.Ground movement around the shotcrete structure exerts tensile forces on shotcrete,causing cracksand fractures(Szwedzicki,2001).Shrinkage in shotcrete,on the otherhand,generatestensile stresses exerted by substrate and causes cracking.The commonly used ordinary Portland cement(OPC)shotcrete mixture can shrink up to 9%due to the drying and formation of smaller hydration products(Lagerblad et al.,2010),leading to further cracking.That is,the shrinkage generates small cracks in shotcrete,where high stresses are concentrated on the cracks tips(Irwin,1957).Due to this,these small cracks are easily affected by ground movement,developing larger cracks(Campbell,1999).Therefore,much effort must be spent on repairing and reducing shotcrete cracks.For example,many complaints about extensive cracking in shotcrete were reported for a large traff i c tunnel in Sweden,which prompted the creation of a dedicated research team to explain and reduce the issue(Holmgren,2010);it was found that large shrinkages were present in the shotcrete due to alkali-free accelerators,leading to increased cracking.

To reduce cracking,shrinkage-compensating shotcrete mixtures are used at underground mines(Storrie,2001;King Shotcrete,2014a).For example,shrinkage-compensating shotcrete was used to construct an ore pass bin at a nickel and copper mine in Canada(King Shotcrete,2014a).Expansive cement is usually added to the shotcrete mixture for shrinkage compensation,and there are currently many commercial expansive cement products(e.g.CTS Type-K cement,DENKA CSA#20,and Komponent®)available(ASS,2010;Huang and Ma,2011).The expansive cement is categorized into type K,type M,type S,and type G based on their constituents(ACI 223R-10,2010).Type K expansive cement mainly consists of OPC,anhydrous tetracalcium trialuminate sulfate(C4A3S),calcium sulfate(CS),and lime(CaO);type M includes blended or intergrounded OPC,calcium-aluminate cement,and CS;type S is an OPC containing a high portion of tricalcium aluminate blended with CS;and type G is an OPC that is high in lime content and blended with calcined pozzolans.Besides expansive cement,premixed shrinkage-reduced shotcrete mixtures are also available for application in various mine locations such as ore passes and rock chutes(King Shotcrete,2014b).

当前的实验课程设置与学科建设、科研项目相对独立，联系不够紧密。学科建设和科研成果没有在实验教学上得到充分利用，科研成果没有及时转化为实验项目，不利于实验教学内容和水平的提升，特别是大型作业、课程设计、毕业设计(论文)选题，不利于激发学生学习兴趣、提高工程实践能力。

Despite the fact that there are many expansive cement or shotcrete mixture products on the market,the compositions and ingredients of these commercial products are usually confidential information or trade secrets.This limits the development and optimization of shrinkage-compensating shotcrete mixtures.To address this problem,expansive mixtures with known compositions and different ingredients should be studied.The authorshadpreviouslycombinedcommonlyusedbindercomponents such as CSA(calcium sulfoaluminate cement),OPC,and CS in systematic ratios to create shrinkage-compensating shotcrete mixtures,where the expansion ratios of the mixtures at different CSAOPC-CS ratios were identified(Yu et al.,2017).Various mixtures tested in the previous study are shown in Fig. 1,and the binders of the mixtures are best classified as type K expansive cement based on their constituents.The expansive mixture(20%OPC+40%CSA+40%CS)having the highest unconfined compressive strength(UCS)was selected for further investigation in this study.

还有一次，关羽的右臂被敌人射中一箭。箭头有毒，毒已入骨，又青又肿，不能动弹。特别是遇到下雨天，剧痛难忍。名医华佗听说关羽箭伤不愈，就为他割开皮肉，刮骨去毒。当时没有麻醉剂，进行手术时，华佗刮骨的声音窸窣（）刺耳，周围的人心惊胆战，掩面失色。血沿着他的胳膊不断流下，盛血的盘子都满了，而关羽却依然和客人喝酒、下棋，若无其事。等到华佗刮尽骨上的毒，敷上药，缝上线后，关羽大笑而起，高兴地说：“先生真是神医。看，我的手臂已经屈伸自如、毫无痛楚了。”华佗感慨地说：“我一生行医，没有见过像您这样的英雄啊！”

拌和站的混合料拌和能力应与混合料摊铺速度相匹配，在沥青混合料摊铺时，应保证摊铺机前始终有4～5辆自卸卡车等待卸料。混合料在运输过程中，为防止温度下降过快，影响长大纵坡试验段路面摊铺、压实质量，最好在自卸式卡车上覆盖一层油毡布，同时尽可能加快车辆在运输时的速度，以减少混合料热量的散发。

where Restraint Ratio is the percentage of Mix1’s free expansion being restrained(%);Expansionfreeis the expansion of Mix1(%);Expansionrestrainedis the expansion of Mix1 after fiber addition(i.e.Mix1-N,Mix1-G,and Mix1-S)(%).

Different types of fibers(i.e.nylon,glass,and steel)are often added to shotcrete mixtures for various applications.For example,Yun et al.(2015)suggested that nylon fiber can improve the rheological performances such as yield stress and plastic viscosity.Bryne et al.(2014)identified that glass fiber added to shotcrete mixture could reduce shrinkage cracking.Zhu(2013)added steel fiber to shotcrete acting as permanent lining in tunnels,and he found that steel fiber increased tensile strength and crack resistance significantly.In other words,fibers can reduce,block,and bridge the cracks in the mixtures,allowing the samples to become tighter and withstand more loads(Song et al.,2005;Zhou et al.,2012;Dawood and Ramli,2014).

Fig. 1.CSA-OPC-CS mixtures previously tested(Yu et al.,2017).

In this study,for the first time,an investigation was initiated on the effects of fibers as a restraint on the expansive CSA-OPC-CS shotcrete mixtures.The influences of fibers on volume change,UCS,and STS(splitting tensile strength)were also evaluated.This research provides essential information on strength and volume change of fiber restrained expansive CSA-OPC-CS mixtures,in comparison with common OPC mixture.Relationships between different types of fibers and the strengths/volume changes are also established for future research.

2.Materials and methods

2.1.Materials

The expansion of fiber added mixtures(Mix1-N,Mix1-G,and Mix1-S)in comparison to fiber free mixture(Mix1)after 7 d,14 d,21 d and 28 d,or the restraint ratio was calculated using the following equation(Eq.(1))and is displayed in Fig. 6:

即使是这样，也还是存在问题。因为90号沥青与防水沥青共用装车台，所以在装90号专供沥青之前必须先将共用管道的防水沥青全部顶回防水沥青储罐里，防止共用管道残留部分防水沥青混入90号专供沥青中影响专供沥青质量。可这样一来，装车时间上就会有所延误。“为此，我们与胜利炼油厂多次协调，调整了装车流程，专门设置了一个装车鹤位平台只装90号沥青，这样就为专供沥青开辟了一条绿色通道，确保首都新机场和北京冬奥会高速公路建设专供沥青及时装运、保质保量、快速出厂。”李勇说。

Fig. 3 shows the three different types of fibers(i.e.nylon,glass,and steel)utilized in this research.The fibers were tested for water absorption following the absorption calculation process described in the ASTM C642 standard(ASTM C642,2013),and it was found that nylon fiber had a water absorption of 105%;glass fiber had a water absorption of 64.9%;and steel fiber had a water absorption of 4%.The properties of these fibers are listed in Table 2.

Table 1 Basic properties of CSA,OPC,and CS(CTS Cement,2015;USA Gypsum,2017).

Ingredient specific gravity pH value when wetting Composition CSA 2.98 11-12 80%-100%of CAS,with less than 0.1%of silica crystalline OPC 3.15 12-13 0%-15%of limestone,2%-10%of gypsum,0%-5%of calcium oxide,0%-4%of magnesium oxide,and 0%-0.2%quartz CS 0.56 7.25 19%calcium,14%sulfur,and 85%calcium sulfate dihydrate

2.2.Mixture design and preparation of samples

The shotcrete mixture design proportions are summarized in Table 3.The shotcrete mixtures prepared for testing were designed following the ACI 506.5R(2009)guideline for typical underground shotcrete proportions.Selected expansive CSA-OPC-CS mixtures with the highest UCS from a previous study(Yu et al.,2017)were assigned the mixture name of“Mix1”(40%CSA+20%OPC+40%CS,showing the second highest expansion of all the expansive CSAOPC-CS mixtures and the highest UCS)in this research.A 100%OPC mixture,assigned the mixture name of “Ref”was also selected alongthe expansiveCSA-OPC-CS mixtureas a control sample.Three different types of fibers(i.e.nylon,glass,and steel)were added to Mix1 individually to study their influences.These fibers were added at 1%volume fraction,a value that was found effective in restraining expansion(Chen and Liu,2003).Mixture names“Mix1-N”,“Mix1-G”,and “Mix1-S”were assigned to the mixtures with nylon fiber,glass fiber,and steel fiber reinforcement,respectively.Note that fibers were added to the mixtures to replace fine aggregates volumetrically,and the aggregate-to-cementitious materials ratio(a/c)was kept at 3.13 as suggested in the ACI 506.5R-06(2009)guideline for specifying underground shotcrete;however,an a/c ratio of 4.35 was then used to investigate the effect of increasing a/c ratio on the strength.The water-to-cementitious materials ratio(w/c)was kept constant at 0.45,following the ACI 506 guideline.Under this w/c ratio,the slumps of Mix1 and Ref were found to fall within the 75 mm-125 mm desired workability suggested by the ACI 506.5R-06(2009)guideline.

Fig. 2.Sieve analysis results for the aggregate utilized in this research.

Fig. 3.Various fibers used in the research:(a)nylon fibers;(b)glass fibers;and(c)steel fibers.

Table 2 Basic properties of fibers(Bon,2009,2015;Propex,2012).

Fiber specific gravity Tensile strength(MPa)Length(mm)Diameter(mm)Shape Nylon 1.14 966 19 0.03 Straight,round Glass 2.68 1700 19 0.01 Straight,round Steel 7.79 966-1242 38 1.14 Wavy

Table 3 Mixture design proportions.

aNote:a/c ratio was later changed to 4.35 to study the effect of increasing a/c ratio on UCS and STS.

Mixture name Fiber volume fraction(%)w/c a/ca CSA OPC CS Nylon Glass Steel Ref 0.45 3.13 0 100 0 0 0 0 Mix1 0.45 3.13 40 20 40 0 0 0 Mix1-N 0.45 3.13 40 20 40 1 0 0 Mix1-G 0.45 3.13 40 20 40 0 1 0 Mix1-S 0.45 3.13 40 20 40 0 0 1 Weight ratio in mixture Weight proportion in binder(%)

The mixtures were prepared according to the ASTM C192/C192M(2016)standard for making and curing concrete test samples.All mixtures weremixed using adrum mixer with acapacityof 0.116 m3.The fiber volume fraction mentioned in Table 3 was added to the cementitious material during the mixing stage.The dry mixture materials with fibers were rotated for 5 min before water addition(with a lid covering the mixer drum to reduce the loss of materials during rotation),and then the whole mixture with water was rotated for another 5 min.A table vibrator was used to compact the mixtures in the molds,and a 5 min vibration per layer was initiated as suggested in the ASTM C192C192M(ASTM,2016)standard.For each mix,a total of six cylindrical samples(diameter:φ75 mm;height:150 mm),and two cube samples(side dimension:5 mm)were created.The cylindrical samples were used to determine the UCS and STS,and the cube samples were created to assess density,water absorption,and volume of permeable voids.After the first 24 h,the samples were demolded and transferred to a moisture room with a temperature of(25 2)?C and a relative humidity(RH)of 100%for curing.

2.3.Tests procedures and specifications

The 28th day UCS and STS of the samples are presented in Table 5,including the percentage increases of UCS and STS after fiber additions(compared to the fiberless expansive mixture“Mix1”).The UCS of shotcrete is one of the primary indicators for concrete quality(ASS,2010),and it was tested in this study to represent compressive strength.As seen in Table 5,OPC mixture(mixture name “Ref”)had 42.6%higher UCS than that of the CSAOPC-CS mixture(mixture name “Mix1”)without fiber addition.This is consistent with other research where CSA-OPC-CS mixtures with high CS content had a lower 28th day UCS than OPC mixture(Dachtar,2004;Yu et al.,2017).The ettringite formed in CSA-OPCCS mixtures was responsible for Mix1’s lower UCS value since growth and replacement of ettringite would damage the matrix of the mixture(Stark and Bollmann,2000)and thus decrease the UCS.

This paper examined the effects of fiber additions(nylon,glass,and steel)in expansive shotcrete mixtures consisting of CSA,OPC,and CS.Based on the experiments performed in this study,the following conclusions are drawn:

2.3.2.UCS tests

The UCSs of the samples were evaluated using ASTM C39C39M(2016),as shown in Fig. 4b.For each mixture,three cylindrical samples were tested on the 28th day to determine the average UCS.

2.3.3.STS tests

MGD患者白内障手术前后OSDI差异具有统计学意义（F=1193.031，P＜0.001），术后1、2、3个月较术前上升66.7%、82.4%、85.2%，。

The STSs were determined by ASTM C496(2011)on the 28th day.Three cylindrical samples were tested per mixture for the average values,as shown in Fig. 4c.

As shown in Table 6,the drops in UCS and STS values of the fiber inclusive mixtures were less than that of the fiberless mixtures,after increasing the a/c ratio.The highest reduction occurred in the fiberless mixtures(UCS at-44.6%and STS at-42.9%),and the UCS and STS decreased with increasing a/c ratio,but the decrease percentage was reduced after fiber addition.The mitigated UCS and STS drop after fiber additions can be explained by the fibers’ability to bridge the materials together,which provided extra strength as stresses were transferred from the mixture to the fiber(Song and Hwang,2004;Dawood and Ramli,2014).This increased strength would mitigate the strength losses due to increasing aggregate content and can result in less UCS loss and STS loss.

Volume changes of the samples were measured using a digital caliper on the cylindrical samples used for the 28th day STS tests.The procedure for the volume determinations was in the form of length measurements and diameter measurements described in ASTM C496(2011).Samples were marked on the sides and the ends,so measurements could be performedin the same locations.A typical dimension measurement is illustrated in Fig. 4d.The volumes of the samples were measured on the 1st,7th,14th,21st,and 28th days to monitor volume change.

3.Results and discussions

3.1.Density,water absorption,and volume of permeable pore space

Fig. 4.Tests performed on the samples:(a)Boiling of cube samples for density,absorption,and voids determination;(b)UCS test of a cylindrical sample;(c)STS determination of cylindrical samples;and(d)Dimension measurement of a cylindrical sample.

Table 4 shows the oven-dry bulk densities,water absorptions,and volume of permeable spaces of the mixtures.The oven-dry bulk densities of CSA-OPC-CS mixtures(Mix1,Mix1-N,Mix1-G,and Mix1-S)ranged between 1624 kg/m3and 2039 kg/m3.CSAOPC-CS mixtures could be best classified as lightweight concrete under the ACI definition(ACI CT-13,2013)since they had densities lower than 1920 kg/m3.When nylon fiber was added,the samples showed a significant increase in density at 14.96%,followed by glass fiber addition at a rise of 12.65%,while the addition of steel fiber made the least change(9.62%).These increases in oven-dry bulk densities were attributed to the binding provided by the fibers,which allowed more materials to be constrained in themixture.Table 4 also displaysthe water absorptions of CSA-OPC-CS mixtures,which are between 12.83%and 17.95%.Compared to a pure OPC mixture(mixture name“Ref”),Mix1 had a significantly higher water absorption when no fiber was introduced.This can be explained by the higher absorption ratio of CSA in the CSA-OPC-CS mixtures,which is around three times larger than that of the OPC(Dachtar,2004).Besides absorption,CSA-OPC-CS mixtures also contained more voids than the OPC mixture.CSA-OPC-CS mixtures contained voids ranging between 30.38%and 39.85%,which were 8.57%-18.04%more than the voids of OPC mixture.The high void content in CSA-OPC-CS mixtures stemmed from their expansion,where larger hydration products replaced smaller constituents(Mehta,1973;Chaunsali et al.,2015)and created more pore spaces in the process.Fiber additions were found to decrease the volume of permeable voids,enforcing reductions between 0.98%and 9.47%.In brief, fibers provide a binding effect that leads to enhanced density,reduced absorption,and reduced volume of voids.

Table 4 Density,water absorption,and volume of permeable pore space of different mixtures.

Mixture name Volume of permeable pore space(%)Ref None 2039 8.12 21.81 Mix1 None 1624 17.95 39.85 Mix1-N Nylon 1867 12.83 30.38 Mix1-G Glass 1829 13.30 30.74 Mix1-S Steel 1780 16.02 38.87 Fiber addition Oven-dry bulk density(kg/m3)Water absorption(%)

The water absorption and the volume of permeable pore space listed in Table 4 can also be used to indirectly reflect the permeability of shotcrete and its durability(Supit and Shaikh,2015;Wang et al.,2015).Permeability is defined as the ability to permit liquids or gases passage(ACI CT-13,2013),which allows chemical and waterintrusion.Therefore,a higher permeability reduces durability and results in more hydration expansion.Based on the results shown in Table 4,CSA-OPC-CS mixtures(Mix1,Mix1-N,Mix1-G,and Mix1-S)had higher absorptions and void contents than the OPC mixture(Ref),suggesting worse durability.However,fiber additions to Mix1 group mixtures decreased water absorption and void content(permeability),which would reduce expansion and thus improve durability.

3.2.Expansion of CSA-OPC-CS mixtures

Fig. 5.Volume changes of mixtures with various fiber contents over time.

The volume changes of CSA-OPC-CS mixtures(Mix1,Mix1-N,Mix1-G,and Mix1-S)over time,along with a pure OPC mixture for reference(Ref),are shown in Fig. 5.The authors found that CSA-OPC-CS mixtures expanded until the 28th day regardless of fiber content,reaching expansions between 0.7%and 1.4%,while OPC mixture was shrunk by 0.13%.The early age shrinkage of the OPC mixture is explained by the cement hydration reaction,which generates smaller cement hydrates than water and cement in volume(Lagerblad et al.,2010).A higher hydration rate is often observed in the fi rst several days(Kosmatka et al.,2002).In comparison to the pure OPC mixture,the CSA-OPC-CS mixtures generated much of the expansion before the 21st day,and the volume remained almost constant after that time.These expansions were expected because the mixture similar to Mix1 was observed to expand up to 0.32%in previous research(Yu et al.,2017).The higher expansion(1.4%)observed in this paper could be attributed to the usage of different fine aggregates and the absence of coarse aggregates,which left Mix1 with smaller size aggregates that allowed greater expansions from better binderaggregate interaction and possible alkali-aggregate reactions(Farny and Kosmatka,1997;Zhang et al.,1999).The expansions of CSA-OPC-CS mixtures were generated as CSA,OPC,and CS hydrated,forming ettringite crystals(Dachtar,2004).As ettringite crystals grew,the volume of the mixture expanded to accommodate the crystals,until the hydration was completed.To verify that ettringite was responsible for the expansion,it is recommended that in the future,X-ray powder diffraction(XRD)analysis should be conducted on the mixtures over time.In this way,theamountofettringitepresented can beplotted against expansion,providing evidence for ettringite formation causing expansion.

3.3.influence of fibers on expansion of CSA-OPC-CS mixture

The materials used for the shotcrete mixtures include CSA,type GU(general use)OPC,CS in the form of granular gypsum,fine aggregates,tap water,nylon fiber,glass fiber,and steel fiber.The fine aggregates were in a saturated surface dried(SSD)condition and had an oven-dry relative density of 1578 kg/m3;they were smaller than 4.75 mm and demonstrated water absorption of 5.1%.The sieve analysis result for the aggregate is shown in Fig. 2,where the aggregate was found to fit within the ASTM C1436(2013)Grading Zone No.1,and is suitable for application in shotcrete.All the cementitiousmaterials(CSA,OPC,and CS)and aggregates mentioned above were purchased locally,and the basic properties of the cementitious materials are summarized in Table 1.The tap water used for this research was from Edmonton,Alberta,Canada in accordance with the parameters set by Health Canada for drinking water(Health Canada,2014).In other words,the impurities of the drinkablewater wereunder acceptable levels and could be used for the creation of shotcrete mixtures(Höf l er and Schlumpf,2006).

Fig. 6.Restraint ratio of fiber-reinforced CSA-OPC-CS mixtures over time.

In addition to the shrinkage-compensation,restraint(e.g.rebar,and fibers)could be introduced into the expansive mixtures to generate self-compressive stresses in mixture and self-tensile stresses in restraint(Scholer et al.,1978;ACI 223R-10,2010).Selfstressing concrete is a product that contains both expansion cement and restraints.Since the 1960s,self-stressing concrete has been widely used in underground applications because it minimizes cracks,frost damage,water leaks,and sulfate attacks(Valentine,2000;Jabbari and Vallens,2014).Self-stressing concrete has also been utilized in rock anchoring to enhance pile capacity(Haberfield,2000).Likewise,there is a potential to develop a selfstressing shotcrete to mitigate cracks and improve durability.However,verylittle research has been done in the shotcrete area.In particular,the effects of fibers as a restraint on expansive shotcrete mixtures are still unknown.This is important because fibers are usually added to the mixture under the guide of the Barton’s Q-system chart(Vandewalle,1998;NGI,2015),and their effects are directly related to the application of expansive shotcrete mixtures.

In Fig. 6,it is observed that the restraining effects of fibers increased during the first 21 d and slightly decreased on the 28th day.These trends maybe relatedto the self-stresses generatedfrom restrained expansion,which produced tensile stresses in the restraints(Scholer et al.,1978).When more tensile stresses are introduced inthe fibers,thefibers providebetterrestrainingeffects.The magnitude of stresses generated from the restrained volume change increases when more volume change is restrained(Hossain and Weiss,2004).The fibers demonstrated increasing restraining effects as more and more expansion was restrained in the first 21 d(seeFig. 5).However,onthe28th day,lessexpansionwasrestrained whencomparedto the21stday,whichresultedinslightdecreasesin the restraining effects of fibers.To correlate the self-stresses generated from the fibers’restraining effects in the future,existing strain/stress sensors such as strain gages,optical fibers,or piezoelectricsensors(ChenandChung,1996)couldbeutilizedtomonitor self-stresses developments regarding different restraint ratios.

建场以来，农场种过柑桔、橡胶等农作物，办过场办工厂，因效益不佳都没能坚持下来。“那时可不像现在这样。2001、2002年的时候，农场工资发不出、社保医保没落实，职工居民住的是旧瓦房、吃的是番薯……”湛江农垦集团宣传处副处长傅学军回忆道。

Although the restraining effects of fibers varied with time,Fig. 6 shows that different types of fibers had different restraining effects.Glass fiber showed the most restraining effect on the 28th day at 50%,followed by nylon fiber at 42.9%and then steel fiber at 27.9%.The better restraining effect of glass fiber was possibly attributed to its smaller size.As seen from the fiber length and diameter shown in Table 2,the glass fiber(φ0.01 mm)used in this research has a smaller string diameter than the nylon fiber(φ0.03 mm).Likewise,the nylon fiber bears a smaller string diameter than the steel fiber(φ1.14 mm).At the same fiber volume fraction(1%),a decrease in fiber size allowed more fiber strings to be contained in the unit volume of shotcrete mixture,resulting in more fiber surface area in contact with the mixture.The increased contact area between the fibers and mixtures was then responsible for the improved restraining effects,as more area was available for bond development.Similar fibers restraining effects were observed in another study(Chen and Liu,2003),where smaller fiber restrained more expansion.Therefore,smaller fibers are recommended for more restraints to control the expansion of shotcrete mixtures.

3.4.unconfined compressive strength

2.3.1.Density,water absorption,and volume of permeable voids tests

As shown in Table 5,UCS of the steel fiber reinforced CSA-OPCCS mixture(Mix1-S)improved 30.7%over the fiberless mixture(Mix1),followed by the nylon fiber reinforced mixture(Mix1-N)at 25.7%,and the glass fiber reinforced mixture(Mix1-G)at 15.8%.The improvement of UCS after fiber additions agrees with that of other studies,where the UCS of fibers was increased by as much as 15.8%when added to normal and expansive concrete mixtures(Song and Hwang,2004;Zhou et al.,2012;Dawood and Ramli,2014).The f ibers mitigated,blocked,and diverted the cracks in the mixtures,allowing samples to withstand more loads(Burak et al.,2007).On the other hand,fiber additions to expansive mixtures may also reduce the UCS.In theory,extra compressive stresses are introduced to the mixtures when the expansion is restrained(Scholer et al.,1978);as a result,the UCS can be reduced.Therefore,fiber additions could either enhance or weaken the UCS of expansive mixtures,and the effects are dependent on the combination of mechanisms described.Based on the results shown in Table 5,fiber additions enhanced UCS of Mix1,suggesting that fiber’s crackbridging effect overcame the generated self-stresses.

The UCS of the Mix1 improved the most when steel fiber was added,followed by nylon fiber and then glass fiber.The UCS of the steel fiber reinforced mixture was higher than that of the nylon fiber reinforced mixtureby3.9%,and it outperformed the glass fiber reinforced mixture by 12.8%.These greater increases in UCS may be explained by the fact that steel fiber has a less restraining effect than nylon fiber and glass fiber,as seen in Fig. 6.This can generate less self-stresses that reduced the UCS.Therefore,the improvement of UCS for expansive mixtures by fibers may be dependent on their restraining effect,where more restraining effects lead to less UCS improvements.

3.5.Splitting tensile strength

Tensile strength is an important indicator for shotcrete used as groundsupportsystemsinmines(Seymouretal.,2010).BecauseSTS represents tensile strength better than flexural strength(Lamond and Pielert,2006),STS of the shotcrete mixtures developed in this studywasevaluated.Asseenin Table5,theSTSofthe28thdayofthe OPC mixtures(Ref)was 38.1%higher than that of the CSA-OPC-CS mixture(Mix1)when no fibers were introduced.Mix1’s low STS may be explained by its ettringite formation.Ettringites were formed as the CSA,CS,and OPC hydrated(Dachtar,2004),causing expansionof themixture.Theformationofettringitecrystals would consume and replace cementitious materials,generating microcracks in the mixtures and decreasing STS(Rocco et al.,2004).

Although OPC mixtures(Ref)had a higher STS than that of fiberless CSA-OPC-CS mixture(Mix1), fiber additions to Mix1 increased the STS at levels higher than that of the OPC mixture.As seen in Table 5,the STS of Mix1 after fiber addition(2.9-3.3 MPa)was equal to or higher than that of the fiberless OPC mixture(2.9 MPa).Improvement of STS by fibers incorporations was also observed in other research(Balaguru and Shah,1992;Song et al.,2005),and this may be related to several factors.First, fibers bridged the mixture,delaying and reducing crack developments that would weaken the mixture(Burak et al.,2007).Second,fiber additions allowed the transfer of tensile stresses acting on the mixture to the fibers,providing extra supports(Bentur and Mindess,2006).Finally,self-stresses generated from restrained expansion(Scholer et al.,1978)of Mix1 introduced compressive stresses in the mixture,which required extra tensile stresses to counter and thus indirectly increased the STS.Note that compressive stresses were introduced in the mixtures as self-stresses of Mix1(-N,-G,and-S)showed more improvement in the STS(38.1%-57.1%)than the UCS(15.8%-30.7%)after fiber additions,regardless of fiber types.

Although all three types of fibers improved the STS(as shown in Table5),glassfiber inMix1showedthehighest STSincrease(57.1%),followed by steel fiber(42.9%)and nylon fiber(38.1%).The best STS improvement of glass fiber may be due to its smaller size in comparison to nylon fiber and steel fiber.Potrebowski(1983)found that STS is proportional to the number of fibers intersecting the fracture surfaces,whichprovidedbridging.Thesizeofglassfiber(φ0.01mm)allowed more fiber string count per unit volume of the mixture,which increased its chance to intersect fracture and thus improved STS.For steel fiber,however,shape also played an important role in STS increase(steel fiber:φ1.14 mm,curvy shape).Studies have shown that curvy and hooked steel fiber improved STS and flexural strengthbetterthanstraightfiber(FaisalandAshour,1992;Wuetal.,2016),which is attributed to the better mechanical interlock provided by these fiber shapes.Following the same mechanism,the curvy shape of the steel fiber used in this study enhanced mixture(Mix1-S)STS to a similar level with the nylon fiber reinforced mixture(Mix1-N).However,theinfluenceofthefibershapewasnot investigated in this study,and it needs further research.

3.6.influences of increasing aggregate content on strengths

Theimpactsofincreasingtheaggregate-to-cementitiousmaterials(a/c)ratio in strengths are shown in Table 6,includingUCS,STS,and differences of strength in percentage between a/c ratios of 3.13 and 4.15(change of aggregate content).UCS and STS decreased as the a/c ratio increased from 3.13 to 4.35.For the CSAOPC-CS mixtures(Mix1,Mix1-N,Mix1-G,and Mix1-S),the UCS decreased in the ranges between 21.7%and 44.6%,and the STS decreased between 17.2%and 42.9%.This decreases in the UCS and STS can be explained by the insuff i ciency of binding cementitious materials,which resulted in poorly bonded shotcrete matrixes and low strength(Gündüz,2008).In other words,increasing a/c ratio means reducing cement content.The reduced cement content contributes to less binding material and decreases bonding in the mixture,leading to lower strength.

教学的过程就是解决问题的过程，而解决问题的过程就是学生学习的过程。因此，学习效果评价可以采取过程性评价法——即在学习过程中随时观察并记录每个学生的表现。另外，为确保各组同学间能友好积极地学习、交流，可以将一组同学间的“利益”绑到一起，集体考评，使他们团结合作，共同进步。

Table 5 UCS and STS test results.

Note:N/A means not applicable.

Mixture name Fiber addition UCS of the 28th day(MPa) Percentage of UCS increase(%) STS of the 28th day(MPa) Percentage of STS increase(%)Ref None 28.8 1.6 N/A 2.9 0.0 N/A Mix1 None 20.2 0.9 0 2.1 0.2 0 Mix1-N Nylon 25.4 0.4 25.7 2.9 0.0 38.1 Mix1-G Glass 23.4 0.6 15.8 3.3 0.2 57.1 Mix1-S Steel 26.4 0.2 30.7 3.0 0.1 42.9

Table 6 UCS and STS at different a/c ratios.

Mixture name Fiber addition UCS of the 28th day(MPa) Percentage of UCS change(%) STS of the 28th day(MPa) Percentage of STS change(%)a/c=3.13 a/c=4.15 a/c=3.13 a/c=4.15 Ref None 28.8 1.6 20.2 1.9 -29.9 2.9 0.0 2.6 0.1 -10.3 Mix1 None 20.2 0.9 11.2 1.1 -44.6 2.1 0.2 1.2 0.0 -42.9 Mix1-N Nylon 25.4 0.4 19.9 0.5 -21.7 2.9 0.0 2.4 0.5 -17.2 Mix1-G Glass 23.4 0.6 17.4 0.2 -25.6 3.3 0.2 2.4 0.1 -27.3 Mix1-S Steel 26.4 0.2 18.2 0.6 -31.1 3.0 0.1 2.0 0.2 -33.3

2.3.4.Volume change tests

4.Conclusions

The density,water absorption,and volume of permeable voids were determined following the test methods described in ASTM C642(2013).The boiling setup is shown in Fig. 4a.For each mixture,two samples were tested on the 7th day to determine the average value.

(1)Additions of fibers to expansive CSA-OPC-CS shotcrete mixture decreased water absorption and volume of permeable pore space,which indirectly reflected the permeability.The reduced permeability would decrease expansion and thus improve the durability of the mixture.

为有效解决回声问题,最初的算法思路是采用一种非线性的回声抑制器[3]。但这种机制会使通话断断续续,故在实际运用中,很少使用。上世纪60年代,贝尔实验室首次结合自适应滤波技术设计了回声抵消器,使得该技术得到了广大支持并迅速应用开来。在众多自适应算法中,最常用的是NLMS[4-5,7]算法,其算法原理是运用最小均方误差准则,使自适应滤波器逼近真实路径的频响特性。NLMS算法收敛性能好,稳定性强[6],但计算量较大[8],当N(滤波器阶数)增大时,运算量以N的平方的比例迅速增加,这会影响VoIP电话这类系统的实时性能。

(2)Fiber additions to expansive CSA-OPC-CS shotcrete mixture restrained expansion.Glass fiber,nylon fiber,and steel fiber effectively restrained the expansion by 50%,42.9%,and 27.9%,respectively.The restraining effect of fiber depended on fiber size,i.e.smaller fiber size allowed more contact area and improved the restraining effect.

通过考证可知，晚唐镜湖周边存在大量的佛寺和道观，而且隐士与僧道的交往甚密。方干诗作《寒食宿先天寺无可丈人房》和可朋的诗作《赠方干处士》《哭方先生》[12]830说明方干与不少诸如无可、可朋等著名的诗僧、诗道有所交往，他所创作的以佛道情怀为内容的诗歌，在当时方外诗人之群体中已具有一定的影响力。

(3)The 28th day UCS of expansive shotcrete mixtures was increased when fibers were added.Steel fiber addition improved the UCS the most,showing a 30.7%increase in comparison with the fiberless sample.Nylon fiber and glass fiber additions increased the UCS by 25.7%and 15.8%,respectively.The increase in UCS arose from fiber mitigating and bridging the fractures.However,the UCS improvement was reduced when more expansion was restrained,due to high compressive stresses being generated in the mixture.

(4)Fiber additions to expansive shotcrete mixtures increased the 28th day STS.For the expansive CSA-OPC-CS mixtures,glass fiber showed the most STS improvement at 57.1%over the fiberless mixture,followed by steel fiber at 42.9%and then nylon fiber at 38.1%.The improvement in STS stemmed from both fibers bridging fractures to provide extra support and restraining expansion to generate compressive stresses.

(5)Fiber additions to expansive CSA-OPC-CS mixture improved STS more than UCS.This may be due to the self-stresses generated when expansion was restrained.The restrained expansion introduced extra compressive stresses into the mixture,which indirectly mitigated UCS improvement and further increased STS.

(6)Expansive shotcrete mixture consisting of CSA,OPC,and CS can be created to compensate shrinkage.However,the UCS and STS of such mixture are lower than those of the ordinary mixture consisting of solely OPC.Therefore,fiber additions are recommended for the expansive mixture to enhance the strength.

(7)Increasing the aggregate-to-cementitious materials ratio(a/c)of the CSA-OPC-CS mixture from 3.13 to 4.35 decreased the UCS by 44.6%,and the STS by 42.9%.However,these reductions in UCS and STS were mitigated when fibers were added.The mitigation effect may have originated from fibers providing bridging to fracture and mixtures,which resulted in less strength loss after aggregate content was increased.

即使是马戏团的狮子也会因为怕鞭打而学会坐在椅子上，但你们会说这是“良好的训练”，而不是“良好的教育”。

The results suggested that fiber additions to expansive shotcrete mixture consisting of CSA,OPC,and CS improved durability and strengths while controlling expansion.Moreover,each fiber type had a different effect on UCS,STS,and volume change.These fibers reinforced expansive mixtures provide possible alternative options for mitigating shotcrete crack,which reduce cost and time spent on crack repair.

建筑行业经过长期的发展，已经积累出了丰富的管理经验。在此过程中，通过大量的理论研究和专业积累，工程项目的质量管理也逐渐形成了一系列的管理方法。但工程实践表明，大部分管理方法在理论上的作用很难在工程实践中得以发挥。由于受实际条件、操作工具、施工设备的限制，这些方法和理论作用仅能部分发挥，甚至得不到发挥，影响工程质量管理的工作效率，造成工程项目的质量目标最终不能完全实现。

Con fl icts of interest

The authors wish to confirm that there are no known Conflicts of interest associated with this publication and there has been no significant financial support for this work that could have influenced its outcome.

Acknowledgements

The authors would like to thank the University of Alberta for providing laboratory equipment,Dr.Chichi Liu for reviewing the paper,and Rizaldy Mariano for guiding laboratory usage.Continued fi nancial support from Natural Sciences and Engineering Research Council(NSERC)(NSERC EGP 501335-16)along with the donated CSA cement and technical instructions provided by CTS Cement are also gratefully acknowledged.

Appendix A.Supplementary data

Supplementary data related to this article can be found at https://doi.org/10.1016/j.jrmge.2017.12.001.

他几经辗转才找到紫光医院古主任的居住地址，他做这一行才不到一年，资历尚浅，无人提携也罢，还处处受到同行排挤，公司今年与德国公司的合作项目研发出人工骨骼，他一直带着密封袋里的这些人工腓骨、股骨头，仅凭着一颗赤诚的心跑遍全市各家医院，可迎接他的是医生冷漠敷衍的神色和似有若无的逐客令。这次登门拜访无疑是他最后一次机会，业绩完成不了意味着失业，一想到病重的老母、产后的妻子和嗷嗷待哺的婴儿使原本愁容满面的他更显得焦灼。行内盛传性情阴冷怪僻的古主任素来极度反感行内潜在的规则，希望他看得上这些新产品，让公司来供应紫光医院骨科手术的人工骨骼。

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