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Page 1: Static performance of geosynthetic reinforced soil walls with ...scientiairanica.sharif.edu/article_21076_34cc6e5357fe...soil structures for high-speed train lines. In order to evaluate

Scientia Iranica A (2020) 27(3), 1028{1038

Sharif University of TechnologyScientia Iranica

Transactions A: Civil Engineeringhttp://scientiairanica.sharif.edu

Static performance of geosynthetic reinforced soil wallswith peripheral soil-cement mixtures

M. Derakhshandia;�, Gh. Rahmatib, and M. Sadjadia

a. Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran.b. Department of Civil Engineering, Arak University, Arak, Iran.

Received 11 May 2017; received in revised form 2 January 2018; accepted 22 October 2018

KEYWORDSGeogrid;Reinforced retainingwalls;Cement-treated soil;Numerical model;Parametric analysis.

Abstract. Recently, much e�ort has been devoted to improving the performance ofgeosynthetic reinforced walls under various stress conditions. In this research, the e�ect ofusing cemented mixed soil as a back�ll material on the static response of GeosyntheticReinforced Soil (GRS) walls is studied. For this, numerical models based on a �nitedi�erence code are made according to one of the Royal Military College's (RMC) full-scale test walls with the segmental facing. Di�erent arrangements of soil reinforcement areconsidered in the presence of cemented sandy soil and sandy soil alone. In the cement-treated approach, each reinforcement layer is surrounded by a 30-cm cemented sand soil.The results show that the application of cement-treated sandy soil decreases the maximumdeformation of the wall by as much as 75% compared to the cases where untreated sandysoil is used. Moreover, by applying cemented soil around reinforcements, the reinforcementforces reduce considerably. Therefore, increasing the number of reinforcement layers in theback�ll will decrease the face wall deformation and the reinforcement forces, which are notcost e�ective in many situations. It is also suggested that the application of the cement-treated technique can be an e�cient cost-saving method, compared to common GRS walls.

© 2020 Sharif University of Technology. All rights reserved.

1. Introduction

In order to improve the performance of earth struc-tures, various techniques have been proposed up tonow. In 1963, the stabilization of the soil retainingwalls entered a new era by using galvanized steelstrips as reinforcement. By introducing geosyntheticreinforcements in the 1980s, Geosynthetic ReinforcedSoil (GRS) walls gained popularity due to severaladvantages such as cost e�ectiveness and the abilityto tolerate deformation and settlement compared with

*. Corresponding author.E-mail addresses: [email protected] (M.Derakhshandi); [email protected] (Gh. Rahmati);[email protected] (M. Sadjadi)

doi: 10.24200/sci.2018.21076

the other type of soil retaining walls [1{3]. Moreover,since soil retaining walls are considered as permanentstructures, the safety and serviceability during theirlifetime should both be taken into account in theirdesign. For this purpose, there are many recom-mendations in guidelines and provisions for evaluatingthe maximum horizontal deformation of reinforced soilretaining walls [4{6].

The main causes of deformation in GRS retainingwalls in the absence of surcharge loading includethe deformation of reinforced soil section and back�llsoil, post-construction deformation, deformation dueto construction defects, and deformation due to com-paction and yielding of the foundation. Therefore, sev-eral studies have been carried out to assess the e�ects ofthese factors on the behavior of GRS retaining walls [7].

Time-dependent properties of reinforced soils(i.e., back�ll soil creep and time-dependent properties

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M. Derakhshandi et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 1028{1038 1029

of geosynthetic reinforcements) are important causesof post-construction deformation in GRS retainingwalls that cannot be neglected in analysis (e.g., [1,8{11]). In this regard, Liu (2012) employed calibrated�nite element models to study the short-term (endof construction) and long-term (10 years of creep)performances of GRS retaining walls [12]. Theyinvestigated the e�ects of reinforcement spacing, typeof back�ll soil, reinforcement sti�ness, and length. Theresults showed that the deformation of a reinforcedsoil block was considerably a�ected by spacing andsti�ness of reinforcement layers. They observed thatthe reinforcement length had a negligible e�ect on thedeformation of a reinforced soil block. In addition, itwas observed that lengthening the reinforcement layersled to a signi�cant decrease in lateral displacement ofthe back of the reinforced soil section [11].

Other studies on the back�ll material indicatedthat the type of soil had an important e�ect on thesti�ness of the reinforced soil zone and consequentlythe active earth pressure at the back of the reinforcedsoil [7,13{15]. In general, it is accepted that thestrength of soil or active earth pressure coe�cient ismore important than the soil sti�ness (e.g., [7,16]).However, using reinforcements with high sti�ness ina dense spacing arrangement reduces the e�ect of soilstrength on deformation of the reinforced soil zone and,thus, soil sti�ness and strength should be consideredsimultaneously for assessing the lateral displacementof GRS walls [17].

Recently, cement-treated soils have been devel-oped to improve the serviceability of various GRSstructures. For instance, the GRS bridge abutmentwith cement-treated back�ll is now one of the standardsoil structures for high-speed train lines. In orderto evaluate the long-term performance of this type ofGRS structure, especially against severe seismic loads,many investigations have been conducted based on thephysical model in the laboratory and full-scale modelin the �eld [18{24]. The results of these studies,in which cement-treated soils were used as a back�llimmediately behind the GRS bridge abutment, showedthat the lateral sti�ness of the structure increased,resulting in a decrease in the deformation of the wallssubjected to severe lateral loading. Moreover, greaterintegrity was observed between back�ll and abutment.In addition to improving the performance of GRS walls,the application of cement-treated soil can result in adecrease in the thickness of the wall without a need touse pile foundations, which is more cost e�ective thancommon GRS walls [25].

As mentioned before, many studies have been per-formed on the behavior of GRS walls under operationalstress conditions to optimize the performance andminimize the costs. The application of cement-treatedreinforced soil can be an e�ective alternative to meeting

these goals. However, there is no economic justi�cationto implement this method for all projects due to themassive volume of cement required. Therefore, theobjective of this study is to propose a simple methodto improve the performance of GRS walls by applyinga limited amount of cement adjacent to the reinforce-ment layers. For this purpose, the �nite di�erenceanalysis is employed to investigate the e�ciency andcost e�ectiveness of this technique, compared withcommon GRS walls with di�erent reinforcement ar-rangements. According to previous studies carried outon the behavior of cement-treated soil, it appears thatthe application of cement-treated soil in reinforcementlayers can improve the performance of GRS walls.

In this research, a numerical analysis is conductedon a large-scale GRS wall up to the end of construction.The numerical model is veri�ed with the large-scale testconstructed under the plane strain condition [26]. Theresults include the horizontal displacement of facing,and the reinforcement forces are compared with thoseattributed to the same wall, but with cement-treatedsandy soil around the reinforcements.

2. Numerical approach

In this study, the �nite di�erence code, Fast LagrangianAnalysis of Continua (FLAC) [27], is employed to inves-tigate the plane-strain behavior of the GRS retainingwalls. The numerical model is calibrated using thedata presented from Royal Military College (RMC)physical models developed by Hatami and Bathurst(2005) [26]. Bathurst et al. (2001) [28] conductedthree instrumented, large-scale tests to explore theperformance of GRS segmental walls under workingstress. In the following section, the physical model testis described brie y.

2.1. The RMC physical model test descriptionA modular block (segmental) GRS retaining wall,which is 3.6 m high, with a target-facing batterof 8� from the vertical is constructed on a rigidfoundation. The wall with six polypropylene (PP)geogrid reinforcement layers is constructed accordingto the AASHTO standard requirements. Accordingly,the spacing between reinforcement layers is 0.6 m,and the ratio of the length of reinforcement to theheight of the wall (L=H) is 0.7. Moreover, throughmechanical connections, the reinforcement layers arerigidly attached to the facing (see Figure 1).

A discrete column of solid concrete blocks isemployed as the wall facing. Each concrete unit is 20 kg(300 mm wide, 150 mm high, and 200 mm long). Thepoorly graded sand soil (Uni�ed Soil Classi�cation -SP) is used as back�ll with D50 = 0:34 mm, coe�cientof curvature Cc = 2:25, and coe�cient of uniformityCu = 1:09.

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1030 M. Derakhshandi et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 1028{1038

Figure 1. Cross-section of segmental reinforced soil retaining wall with Royal Military College's (RMC) physical modelsutilized for the calibration of the numerical model.

2.2. Finite-di�erence procedure and modelThe FLAC 2D program [27] is used to simulate theplane-strain behavior of the GRS model test. The nu-merical procedure includes modeling the back�ll, facingmodular blocks and reinforcement layers, and specify-ing the characteristics of interfaces and boundaries. Itshould be noted that the stage-construction procedureis considered in the simulation for placing each soillayer, course of blocks, and geogrid reinforcement layer.

2.3. Modeling of back�ll soilThe continuum zone is utilized to simulate the back�llsoil as a homogeneous, isotropic and nonlinear elasto-plastic material with the Mohr-Coulomb failure crite-rion and dilation angle. By using the stress-dependenthyperbolic constitutive model [29], a nonlinear elasticbehavior is considered for the back�ll. This constitu-tive model is implemented using the FISH language.In this hyperbolic model, the tangent elastic modulus,

E(t), the bulk modulus, B, and the tangent Poisson'sratio, �(t), of soil are calculated as follows:

E(t) =�1� Rf � (�1��3)

(�1��3)f

�2

Ke � Pa(�3=Pa)n; (1)

B = Kb � Pa(�3=Pa)m; (2)

�(t) = 0:5� Et6B

; 0 < �t < 0:49; (3)

where Ke is the elastic modulus number; (�1 � �3)fis the deviatoric stress at failure; Rf is the failureratio; �1 and �3 are major and minor principalstresses,respectively; n is the elastic modulus exponent;Kb and m are the bulk modulus number and bulkmodulus exponent, respectively; Pa is the atmosphericpressure. The properties of the back�ll material arelisted in Table 1.

Table 1. Back�ll soil properties [26].Hyperbolic model parameters Ke 1150

Kb 575Rf 0.86Kur

� 1380n 0.5m 0.5

Strength properties ' (�) 44c (kPa) 1 (�) 11

Unit weight (kN/m3) 16.8�Unloading-reloding modulus number assumed to be 1:2 �Ke for compacted sand [29].

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Table 2. The properties of cement-treated soil [32].

Young's modulus, E (MPa) 200Cohesion, C (kPa) 200Internal friction angle, � (�) 46Poisson's ratio, � 0.3

It should be noted that the boundary of back�llis extended to �ve times the wall height to minimizethe possible e�ect of the far-�eld boundary onsimulation response [30]. In addition, a parametricstudy is conducted to study the e�ect of usingcement-treated soil adjacent to geogrid layers on thebehavior of the wall. The mechanical properties ofthe cemented poorly graded sand soil are chosenbecause of their similarity to the results of triaxialtests in the literature [31,32]. The cement contentof the soil is considered to be 5%. The mechanicalproperties of cement-treated soil are given in Table 2in which E is Young's modulus of cemented soil with15 cm thickness on either side of reinforcement layers,which is de�ned by FLAC FISH programming as ahyperbolic formulation. The analysis in this part hasbeen conducted for back�ll sandy soil and back�llcemented sandy soil in di�erent reinforcement layers.

2.4. Modeling of reinforcement layersReinforcement layers are modeled using a cable ele-ment with strain-dependent tangent tensile sti�ness Jt("), tensile strength Ty, and no compressive strength.Cable elements are one-dimensional axial elementswith elasto-plastic behavior. The soil-reinforcementinteraction can be simulated by using the FLAC groututility with zero thickness, zero cohesion, and interfacefriction angle of 0:75� (�sr). However, previous studiesshow that no slippage may occur between the reinforce-ment elements and the back�ll soil under working stressconditions [17,26,33]. Therefore, in this study, thereinforcement structural nodes are rigidly connected tothe back�ll grid points. The reinforcement materialproperties used in numerical simulations are summa-rized in Table 3. Moreover, the reinforcement layers

Table 3. The reinforcement material properties [26].

�sr (�) 33Ty (kN/m) 13Jt (kN/m) (119-2938) "

are attached rigidly to the facing based on the use ofmechanical connections in the model.

2.5. Modeling of facing systemThe linear elastic continuum zones are used to modelthe facing wall. The nulled zones with zero thicknessthat include interfaces are used to divide the facing col-umn of walls into 24 rows of concrete modular blocks.The sti�ness of the facing column is determined bythe values of interface shear sti�ness between modularblocks obtained from the results of direct shear testsconducted in the laboratory.

2.6. Interfaces and boundary conditionsThe interface elements between di�erent contact sur-faces and joints are simulated by linear spring-slidersystems. The interface shear strength is de�ned by theMohr-Coulomb failure criterion in which the shear andnormal interface sti�ness (Ks and Kn, respectively)values must be de�ned to control the relative interfacemovement. Therefore, the values of interface sti�nessshould be selected to match physical test results. In thenumerical simulations, the boundary conditions havebeen de�ned to represent the RMC model test facilitiesaccurately. In this regard, a �xed boundary conditionis applied at numerical grid points in the X direction onthe back�ll far-end boundary to match the bulkheadsthat are used at the back of the test facility. Inaddition, in order to simulate the concrete foundationof the RMC model test, a �xed base condition isassumed in both X and Y directions on the bottomof the model [26]. The interface parameters used inthe current study are reported in Table 4.

Moreover, in order to consider the compactione�ects in the simulations, a uniform vertical stress of8 kPa has been applied at each construction stage tothe entire surface. Since the wall is constructed usingthe bottom-up approach, this vertical stress incrementis removed after solving the model to equilibriumat each stage. Static analyses are conducted foridentical segmental walls with di�erent reinforcementlayer arrangements. Walls are modeled with six, �ve,four, and three reinforcement layers at 60 cm, 75 cm,90 cm, and 120 cm vertical distances, respectively. Theschematic cross-section of the �nite-di�erence model isshown in Figure 2.

Table 4. Interface properties [26].

Interface properties Soil-block Block-blockFriction Angle, � (�) 44 57Dilation Angle, (�) 11 |Cohesion, C (kPa) | 46Normal Sti�ness, kn (MN m�1 m�1) 100 1000Shear Sti�ness, ks (MN m�1 m�1) 1 40

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1032 M. Derakhshandi et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 1028{1038

Figure 2. The �nite di�erence model of GeosyntheticReinforced Soil (GRS) wall with six layers at a 60-cmvertical distance.

2.7. Validation of �nite di�erence procedureAny numerical simulation needs to be validated beforeanalyzing the results. In the current investigation, anumerical model made by FLAC is veri�ed againstthe data gathered from the RMC laboratory's physicalmodel. More details of the physical model can be foundin the study of Hatami and Bathurst (2005) [26]. Thepredicted horizontal displacement and connection loadsof the GRS walls with six reinforcement layers at a 60-cm vertical distance are compared with the measuredidentical test data. As shown in Figure 3, the resultsof the numerical model are in satisfactory agreementwith the laboratory results.

Figure 3. The validation of the �nite di�erence procedurewith Royal Military College's (RMC) physical model: (a)Relative facing displacement and (b) connection load.

It should be noted that the reported displacementvalue at each level in Figure 3(a) represents themagnitude of the lateral displacement of the corre-sponding facing block from the time of potentiometerplacement to the end of construction. Hence, theseplots should not be confused with the actual wall defor-mation pro�les at the end of construction. Moreover,Figure 3(b) shows the satisfactory agreement betweenthe calculated and measured connection loads withthe exception of Reinforcement Layers 1 and 2. Thesame trend was seen in the numerical study of Hatamiand Bathurst (2005) [26] using FLAC software incomparison with the results of the same full-scale testwall. They explained that these discrepancies mightresult from the local over-compaction of soil directlybehind the facing units at the bottom of the walls.

3. Results and discussion

In the following sections, a comparison is made betweenthe results of static analyses of segmental GRS wallsand di�erent reinforcement layer arrangements in thepresence and absence of cement-treated reinforced soil.The schemes of reinforcement distribution include six,�ve, four, and three reinforcement layers at 60 cm,75 cm, 90 cm, and 120 cm vertical distances, respec-tively. In addition, in all numerical simulations, thethickness of cement-treated soil is considered to be 15cm on each side of the reinforcement layer.

3.1. The horizontal deformationIn this part, the horizontal deformation of GRS wallfacings with di�erent back�ll conditions is presented.It should be noted that since the wall foundation ismodeled as rigid and the e�ect of compaction e�ortson wall deformation is considered at di�erent stagesof construction, the lateral displacement of the wallmainly results from deformation in the reinforced zoneand the unreinforced soil zone behind the facing. Thereinforcement sti�ness factor � = J

Ka HSv can be intro-duced as one of the most e�cient material parametersa�ecting the lateral deformation of GRS walls, where Jis the reinforcement sti�ness; Ka is the Rankin activeearth pressure coe�cient; is the unit weight of thesoil; H is the wall height; Sv is the vertical spacingbetween layers of reinforcement [7]. For instance, ascan be observed in Figure 4(a) and (b), an increase inthe number of reinforcements (i.e., increase in �) causesa decrease in the horizontal deformation of the wallfor di�erent back�ll conditions. These observationscon�rm the e�cient role of � in controlling the walldeformation.

In Figure 5, the lateral displacement of GRSwalls is compared for cement-treated back�ll relativeto the untreated back�ll using the same scheme ofreinforcement distribution. This �gure clearly indicates

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M. Derakhshandi et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 1028{1038 1033

that using cement-treated soil adjacent to the rein-forcements signi�cantly decreases the deformation ofthe facing. The maximum amounts of decrease in wall

Figure 4. Horizontal deformation of GeosyntheticReinforced Soil (GRS) wall using (a) untreated back�llsoil and (b) cement-treated back�ll soil.

Figure 5. Comparison of horizontal deformation ofGeosynthetic Reinforced Soil (GRS) wall under staticcondition in the presence and absence of cement-treatedback�ll: (a) Three reinforcement layers, (b) fourreinforcement layers, (c) �ve reinforcement layers, and (d)six reinforcement layers.

deformation along the height of the facing are presentedin Table 5.

As a result, using cement-treated back�ll can beattributed to greater sti�ness of the reinforced soil inthe reinforced soil zone, especially in areas adjacentto the reinforcement layers. Therefore, due to straincompatibility between the reinforcement and the soil,the potential slippage at the reinforcement-soil inter-face becomes smaller, which decreases the reinforcedsoil zone deformation. Furthermore, the horizontalmovement of the unreinforced soil zone behind thereinforced soil block has a considerable e�ect on thewall facing deformation. The amount that this sourcecontributes to wall face displacement depends on thelevel at which the zero-force line intercepts the backof the reinforced soil block. The zero-force line is atheoretical line beyond which the soil does not makea signi�cant contribution to wall face de ection. Ascan be observed in Figure 6, the internal frictionangle of back�ll soil determines the slope of the zero-force line. Thus, the internal friction angle of back�llsoil is another important parameter that a�ects thedeformation of GRS walls [7].

The application of cement-treated soil adjacent toreinforcement layers increases the inertial friction angleof back�ll soil. This makes the area of unreinforcedretained �ll above the zero-force line smaller. Hence, itappears that the movement of unreinforced soil behindthe reinforced soil block becomes smaller, which leadsto a decrease in wall deformation. Moreover, as can beseen in Figure 5, the application of cement-treated soilcauses the locus of maximum deformation of the wallto move down from H=2 to H=3. This is also due to

Table 5. The maximum percentage of reductions in wallfacing deformation using cement-treated back�ll comparedwith untreated back�ll.

The number of reinforcement layers 3 4 5 6The reduction of facing deformation (%) 64 73 74 75

Figure 6. Schematic Geosynthetic Reinforced Soil (GRS)wall geometry and zero-force line [7].

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1034 M. Derakhshandi et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 1028{1038

Table 6. The maximum reduction in wall deformationusing di�erent reinforcement layers.

The numberof layers

The percentage of reductions

Cement-treatedback�ll

Untreatedback�ll

From 3 to 4 44.5 22From 4 to 5 27 13.5From 5 to 6 24.5 12

the reduction of the unreinforced soil zone behind thereinforced soil zone, which contributes to the top walldeformation.

Table 6 presents the maximum reduction in facingdisplacement in the presence of the reinforcementlayers. The numerical results suggest that the ap-plication of cement-treated soil results in the maxi-mum reduction of deformation, about twice as muchas the untreated soil with an increased number ofreinforcement layers. This means that the applicationof cement-treated soil increases the e�ect of using thereinforcement layers on the reduction of horizontaldeformation of the wall. It can also be observed thatthere are four reinforcement layers under both back�llsoil conditions. Increasing the number of reinforcementlayers beyond four does not seem to cause a signi�cantreduction in wall deformation.

The lateral deformation of wall facing understatic conditions is shown in Figure 7 for di�erentschemes of reinforcement distribution using cement-treated back�ll, compared with untreated back�ll usingsix layers of reinforcement. According to this �gure, inthe presence of cement-treated soil, the deformation ofthe wall with the minimum number of reinforcement

Figure 7. Comparison of the horizontal deformation ofthe facing wall in the presence and absence ofcement-treated back�ll.

layers (i.e., three layers) becomes smaller than that ofthe wall without cement-treated soil with the maximumnumber of reinforcement layers (i.e., six layers). Thisimportant �nding implies that the use of the recom-mended method in this study can decrease the numberof reinforcement layers, which may be a cost-e�ectivetechnique in the construction of GRS walls.

3.2. Force distribution in the reinforcementlayer

In this section, the maximum force in the reinforcementlayers along the height of the wall is compared underdi�erent back�ll conditions. As illustrated in Figure 8,the application of the cement-treated soil adjacent tothe reinforcement layers causes a considerable reduc-tion in the maximum reinforcement forces.

It should be noted that the magnitude of re-inforcement forces in GRS walls depends on theshear strength mobilized in the back�ll soil [7]. Theapplication of cement-treated soil increases the soil-reinforcement contact e�ciencies, enhancing both theshear strength of the back�ll soil and the pulloutresistance along the soil-reinforcement interface [34].Therefore, a smaller force would be required in the

Figure 8. The maximum reinforcement force in thepresence and absence of cement-treated soil: (a) Threelayers, (b) four layers, (c) �ve layers, and (d) six layers.

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Table 7. Comparison of the maximum percentage reduction of reinforcement force due to using cement-treated soil.

The number ofreinforcement layers

The reinforcement layer number fromthe bottom of wall

1 2 3 4 5 6

3 30.94 40.63 85.81 | | |4 82.3 45.8 82.34 89.95 | |5 88.1 60.95 76.42 87.6 83.75 |6 88.55 73.59 86.46 91.31 90.34 83.3

GRS wall system to maintain equilibrium. This resultsin a reduction in the reinforcement maximum forces.Table 7 shows the maximum percentage reduction ofreinforcement forces for di�erent schemes of reinforce-ment distributions.

Figure 9 shows the distribution of forces alongreinforcement layers for cement-treated and untreatedback�ll soil reinforced with �ve geogrids. It can beobserved that, in the presence of cemented soil, aconsiderable force reduction occurs along the reinforce-ment layers compared with untreated reinforced soil.

Figure 10(a) and (b) demonstrate the e�ect ofincreasing the amount of reinforcement on the max-imum forces of reinforcement layers. According tothese �gures, for both reinforced soil conditions, as thenumber of reinforcement layers increases, the largestmagnitude of reinforcement forces decreases. This isdue to an increase in �, which leads to a decreasein reinforcement forces. According to the numeri-cal modeling results, the second reinforcement layerexperiences a higher maximum force than the otherreinforcement layers in all the cases studied.

The maximum forces in the reinforcement layersunder operational conditions are shown in Figure 11 fordi�erent schemes of reinforcement distribution usingcement-treated back�ll against untreated back�ll usingsix layers of reinforcement. It is clear in this �gure that,

Figure 9. The variation of force distribution along 5reinforcement layers: (a) Untreated back�ll soil and (b)cement-treated back�ll soil.

in the presence of cement-treated soil, the maximumreinforcement forces along the height of the wall, evenwith the minimum number of reinforcement layers (i.e.,three layers), are smaller than the untreated reinforcedsoil with the maximum number of reinforcement layers

Figure 10. Comparison of the maximum magnitude ofreinforcement forces with increasing the number ofreinforcement layers using (a) untreated back�ll soil and(b) cement-treated back�ll soil.

Figure 11. Comparison of the maximum reinforcementforce in the presence and absence of cement-treatedback�ll.

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1036 M. Derakhshandi et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 1028{1038

(i.e., six layers). These observations are in agreementwith our previous suggestions, in which the applicationof cement-treated soil adjacent to the reinforcementis considered to be a cost-e�ective technique for con-structing GRS walls.

In summary, according to the results achieved inthis study, the application of the peripheral soil cementmixture can be a trustworthy method for improvingthe performance of GRS walls. It should be noted thatthis improvement technique can be more economicalthan typical types of GRS walls with the rectangular ortrapezoidal soil cemented zone due to the reduction ofcement consumption. However, it is recommended thatmore investigation of and comparison between thesemethods be done.

4. Conclusion

Geosynthetic Reinforced Soil (GRS) retaining walls arewidely used as permanent structures in many countries.However, the safety of these walls is always the �rstconcern in their design. In order to improve thebehavior of this kind of the soil structure, variousimprovement methods have been recommended suchas using cement-treated reinforced soil. In this paper,a numerical simulation was conducted to study the ef-fectiveness of applying cement-treated soil with limitedthickness (30 cm) adjacent to reinforcement layers. Themost important �ndings of this study are summarizedbelow:

1. Increasing the number of reinforcement layers in thepresence and absence of cement-treated reinforcedsoil results in a decrease in wall deformation byincreasing the reinforcement sti�ness factor (�);

2. Using cement-treated soil adjacent to reinforcementlayers reduces the wall facing deformation consider-ably (e.g., up to 75% for a wall including six layersof reinforcement). This reduction is the result ofdecreasing deformation in the reinforced zone anddisplacement in the unreinforced soil block behindthe reinforced zone;

3. Adding cement to back�ll soil around the reinforce-ment layers changes the deformation mode of facingblocks. The maximum horizontal deformation dueto the reduction of unreinforced soil behind thereinforced zone and beyond the zero-force line islowered from H=2 to H=3;

4. The application of cemented soil has a signi�cante�ect on the reduction of the maximum reinforce-ment forces. This is caused by increasing the shearstrength of back�ll soil around the reinforcementlayers;

5. In the presence of 30-cm cement-treated soil adja-cent to the reinforcement layers, the performance

of GRS walls considerably improved. This �ndingimplies that the application of this technique canbe a cost-saving construction alternative, where alarge number of reinforcement layers are required.

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Biographies

Mehdi Derakhshandi received his BS degree in CivilEngineering from Isfahan University of Technologyin 1998 and his MSc degree in Soil Mechanics andFoundation Engineering in 2000. He earned his PhDdegree from Amirkabir University of Technology in2006. He is currently an Assistant Professor of Scienceand Research Brunch, Islamic Azad University ofTehran. His research activities include cyclic behaviorof soil materials by physical modelling and elementtesting.

Ghazale Rahmati obtained her BS degree in CivilEngineering and her MSc degree in Geotechnical En-gineering from Arak University. The study of staticand seismic performance of the geosynthetic reinforced

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1038 M. Derakhshandi et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 1028{1038

soil systems is her research interest. She is currently aGeotechnical Engineer.

Mani Sadjadi is currently a PhD Candidate inGeotechnical Engineering at Research Brunch of Is-

lamic Azad University, Tehran, Iran. His PhD thesis ison the performance of rocking soil-structure systems onimproved soils. His research interests include geotech-nical earthquake engineering, soil-structure interaction,and soil improvement.