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Article

Experimental Investigation on Shear Strength Parameters of Lime Stabilized Loess

1
College of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2
Geotechnical Engineering Department, Nanjing Hydraulic Research Institute, Nanjing 210024, China
3
Department of Civil and Environmental Engineering, National University of Singapore, Singapore 117576, Singapore
4
Department of Civil and Environmental Engineering, Washington State University, Pullman, WA 99164-2910, USA
5
Engineering Research & Development Centre for Underground Technology of Jiangxi Province, East China Jiao Tong University, Nanchang 330013, China
*
Author to whom correspondence should be addressed.
Sustainability 2019, 11(19), 5397; https://doi.org/10.3390/su11195397
Submission received: 5 August 2019 / Revised: 12 September 2019 / Accepted: 24 September 2019 / Published: 29 September 2019
(This article belongs to the Section Sustainable Engineering and Science)

Abstract

:
Loess is a typical collapsible soil, which is widely distributed in the upper and middle areas around the Yellow River of China. The stabilization of loess with lime provides a significant improvement in the physical and the mechanical characteristics of the loess and is therefore widely used in the pavement base and subgrade. Therefore, a systematic investigation of Mohr-Coulomb failure envelope of lime stabilized loess needs to be conducted. In this pursuit, the present research envisages the investigation of the effects of the lime content, porosity and curing time on the strength parameters (friction angle (φ) and cohesion (c)), using a series of triaxial tests performed on lime stabilized loess specimens. The experimental results revealed that the friction angle (φ) was independent of the lime content, the porosity and the curing time of the specimen for a given lime stabilized loess, while the factors mentioned above had a significant effect on the cohesion (c) of the lime stabilized loess. For a relatively short curing time (7 days), the change in the lime content did not present an obvious effect on the cohesion (c) of the stabilized loess. However, when the curing time (28, 90 and 180 days) was longer, the increase of the lime content significantly enhanced the cohesion of the stabilized loess. When the lime content was constant, the cohesion (c) of the stabilized loess increased linearly with the decrease in the void ratio. A power function equation was proposed to assess the comprehensive influences of the factors like the lime content, porosity and curing time on cohesion (c). Finally, the Mohr-Coulomb failure envelopes were drawn based on the triaxial test for 47 specimens with various curing time and confining pressure, and the shear strength parameters obtained by the proposed equation were also compared with the experimental results.

1. Introduction

The loess is mainly distributed in the upper and middle areas of China’s Yellow River and covers approximately 631,000 km2 of the mainland, which is over 6% of the territory of China [1]. The loess is mainly composed of clay particles, silt-sized mineral particles and quartz particles, and characterized by high porosity, metastable microstructure and water-sensitivity [2]. In an unsaturated state, it has a certain strength and stability due to the connection by bonding between the quartz particles inside the loess [3]. However, these bonds can break down after immersing in water or applying a greater stress, which can result in the collapse and deformation of the structure [4]. Furthermore, it may even lead to serious geotechnical disasters, such as uneven settlement of the foundation, landslides and ground fissures [5,6,7,8], and has thus attracted attention from scientists and engineers worldwide [9,10,11,12,13,14].
The stabilization of soil by cementitious agents such as lime, cement and fly ash to obtain excellent engineering performance [15,16,17], has developed into a mature technology around the world [18,19,20,21,22,23]. Lime is commonly applied to improve the fine-grained soils due to its technical efficiency and low cost [24,25]. The improvement was mainly attributed to the physicochemical effects of cation exchange, pozzolanic reactions and crystallization within the soil structure [26]. Generally, cation exchange results in aggregate formation, which leads to the improvement in plasticity, compaction characteristics and workability. During this process, the exchange of calcium ions with monovalent cations (e.g., Na+, K+ and H+) associated with the soil lattice results in a reduction in the thickness of the electrical double layer, which leads to a closer proximity for soil particles. Correspondingly, the increase of their mutual attraction causes the flocculation of soil particles [27,28,29,30,31]. After the short cation exchange processes, the pozzolanic reactions occur in the mixture. It induces the cementation of soil particles and fills with new cementitious materials within the voids of the flocculated fabric, which improves the mechanical properties of the soil such as strength, stiffness and stability [32]. Some research results also indicated that the application of lime in stabilized soil can enhance its durability, and reduce the compressibility and hydraulic conductivity [26,30,33].
To evaluate the influence of the lime content and porosity on tensile and compressive strength, numerous studies were performed by Consoli et al. [34] on lime stabilized soil, and the results indicated that an increase in lime content caused a linear growth in the tensile and the compressive strength, while the porosity showed the opposite trend. In addition, the void/lime ratio adjusted by a power coefficient has demonstrated to be an accurate parameter to assess the tensile and compressive strength of the lime stabilized soil. To date, the Coulomb criterion is generally used to establish a failure envelope for the stabilized soil with a specific amount of stabilization agent and porosity. However, the determination of parameters for the Mohr-Coulomb failure envelope of stabilized soils requires carrying out the triaxial test or direct shear test, which are complex and time-consuming [35].
In recent years, many researchers have contributed great efforts in the determination of parameters (friction angle (φ) and cohesion (c)) of the Mohr–Coulomb failure envelope of stabilized soil. Mitchell [36] investigated the Mohr–Coulomb failure envelope parameters of treated granular soils, and showed that the friction angle varied from 40° to 45°. Additionally, the relationship between cohesion (c) and unconfined compressive strength (qc) was also established by Mitchell, as: c = 0.225qc + 50 (in kPa) [36]. Subsequently, Brown [37] reported that the friction angle varied from 40° to 60° and the cohesion was approximately a few thousand kPa. Consoli et al. [38] conducted numerous splitting tensile tests and unconfined compressive tests on lime-fly ash treated soil. Their results indicated that the change in lime content, porosity and curing time can cause a significant effect on unconfined compressive strength or splitting tensile strength. However, the ratio of unconfined compressive strength to splitting tensile strength is independent of the above factors and tends to be a constant value, which is related to the friction angle of the treated soil. In other words, for a given treated soil, it has a constant friction angle, regardless of the lime content, porosity and curing time, and may be related to its particle size distribution. Furthermore, Consoli et al. established a function between the cohesion and splitting tensile strength (or unconfined compressive strength) of the treated soil [39,40]. An extensive amount of triaxial tests related to the loess have been carried out worldwide for the past several decades, and the research has mainly focused on the mechanical behavior and failure characteristics of loess. The relationship between the Mohr–Coulomb failure envelope parameters and the factors mentioned above (lime content, porosity and curing time) has not yet been sufficiently addressed.
In this paper, a functional relationship to evaluate the shear strength parameters was established by conducting a series of triaxial tests. The relationship was also successfully validated for stabilized loess with different lime content and porosity, considering 7, 28, 90 and 180 days of curing, based on which, shear strength parameters were obtained only by conducting simpler, less costly and time-consuming tests, such as the density test and specific gravity test.

2. Materials and Experimental

2.1. Materials

The loess was collected from an excavation site in Lanzhou city, China. To obtain a homogeneous state in its particle distribution, the collected loess was air-dried, and crushed with a rubber hammer, until the powdered loess passed through the sieve with a 0.5 mm aperture. Subsequently, the physical properties of the loess such as specific gravity and Atterberg limits were obtained by using the water pycnometer method described in ASTM D854 [41] and the fall cone test in accordance to the Chinese standard procedures GB/T50123 [42], respectively. The other physical properties were obtained by referring to the literature related to Lanzhou loess [43], and listed in Table 1.
Hydrated lime with a specific gravity of 2.49 was purchased from Hengwang Environmental Protection Company (China). The chemical composition of lime was obtained by X-ray diffraction and presented in Table 2.

2.2. Standard Compaction Test

The standard compaction test is generally performed to determine the maximum dry density, the optimum moisture content, and to achieve the target in-situ degree of compaction. In this study, standard compaction tests were carried out to estimate the optimum moisture contents and the corresponding maximum dry densities of the stabilized loess on all mix ratios following procedures described in ASTM D698 [44]. The results of the standard compaction test were used as the basis for the density and moisture content required to prepare the triaxial specimens. The preparation process of sample for the standard compaction test was similar to that of the triaxial compression test soil sample. During the compaction tests, the mixture was compacted in three layers into a cylindrical metal mold with a hammer (Figure 1a). The relationships of the dry density and water content of different stabilized loess (lime contents of 10%, 16% and 23%) are presented in Figure 2.
The molding points for the triaxial compression tests are summarized in Table 3. Combining with the experimental procedure of Consoli et al. [34] and the results of the standard compaction test, 5 molding points (A, B, C, D and E) were set in this study. At points A, B and C, the loess was stabilized with a different content of lime. The lime percentages used were chosen based on the field experience of loess stabilization with lime. The obtained values for the maximum dry density were 1.71, 1.66, and 1.58 g/cm3 for stabilized loess with 10%, 16% and 23% lime, respectively (volumetric ratios of lime to loess were 2:8, 3:7 and 4:6, respectively). The corresponding optimum moisture content was 16.8, 17.97, and 19.4%, respectively. At point C, D, and E, the lime stabilized loess specimens contained the same moisture content (19.4%) and lime content (23%), but different dry density values in order to investigate the effect of porosity on its strength behavior. The dry density was controlled to be 1.58, 1.48, and 1.38 g/cm3 for the lime stabilized loess specimens at points C, D, and E. Moreover, the specimens at point D were prepared with three different lime percentages: 10%, 16% and 23% to investigate the effects of lime content on its strength behavior.

2.3. Triaxial Compression Test

The specimens used in the triaxial compression tests were cylinders with a height of 125 mm and a diameter of 61.8 mm, and the height to diameter ratio was approximately 2. The requisite quantities of lime, loess and water were first pre-weighed. The dry mixture of lime and loess was mixed using a cement mortar mixer. The required amount of water was then added to the dry mixture, and rapidly mixed until a uniform mixture was obtained. Subsequently, the mixture was placed into a sealed plastic bag for 24 h under indoor temperature to achieve moisture equilibrium.
The mixture was compacted in five layers into a 125-mm-height and 61.8-mm-internal diameter cylindrical steel mold to acquire a homogeneous lime stabilized loess. After the molding process, the specimens were extracted from the mold, labelled and placed in a suitable container immediately to prevent a further loss of moisture. After the preparation of all 240 specimens, in which, there are 23 spare specimens, they were cured in a humid room at a controlled humidity of above 95% and temperature of 20 ± 2 °C for different time points of 7 days, 28 days, 90 days and 180 days. To obtain reliable experimental results, the curing condition of all specimens was consistent.
The static consolidated drained triaxial tests were conducted to obtain the failure envelope parameters of the lime stabilized loess samples in accordance with ASTM D7181 [45]. The apparatus for the triaxial compression test is presented in Figure 1b. The confining pressure was 50, 100, 150, 200, 250, 300 and 400 kPa for the specimens with 7days of curing time, and was 50, 100, 150, 200, 250, 300, 400 and 500 kPa for the specimens with 28, 90, 180 days of curing time. The stress-strain relation of the lime stabilized loess was constructed for each specimen from the history of axial stress and strain.
The determination of the failure envelope parameters of soil generally requires carrying out triaxial tests on more than three specimens under different minimum principal stress and maximum principal stress. After the laboratory tests, the corresponding Mohr Circles and common tangent are drawn, and the gradient and intercept of the common tangent are the tangent value of friction angle (φ) and cohesion (c) of the tested lime stabilized loess, respectively.

3. Results and Discussion

3.1. Effect of Lime Content, Porosity and Curing Time on the Friction Angle (φ)

Figure 3 depicts the deviatoric stress-axial strain curves for the drained triaxial compression tests on molding points A and C with 90 days of curing, and at molding point B with 7, 28, 90 and 180 days of curing. The confining pressures applied on the specimens with 28, 90 and 180 days of curing were 50, 100, 150, 200, 250, 300, 400 and 500 kPa, and the confining pressures applied on the specimens with 7 days of curing were 50, 100, 150, 200, 250, 300 and 400 kPa.
It can be observed from Figure 3 that the deviatoric stress-axial strain curves of the lime stabilized loess presents a strain-hardening characteristic up to a peak (the critical value of the transition from the plastic phase to the failure phase when the specimen is under loading process), which occurs at small strains, and then presents a softening behavior. The residual strength is much lower than the peak strength at low confining pressures. However, the difference between the peak strength and the residual strength decreases with an increase in the confining pressure, while the lime content and curing time showed the opposite trend. This indicates that the brittleness of the specimens decreases with an increase in the confining pressure, while the brittleness increases with an increase in the lime content and the curing time.
Figure 4 shows the friction angle of specimens with 10 to 23% lime contents and 1.38 to 1.71 g/cm3 dry density and cured for 7 days, 28 days, 90 days and 180 days, respectively. It can be readily seen that no correlation can be observed between the friction angle and the lime content or the dry density of lime stabilize loess specimens for all curing time.
Table 4 shows the results of friction angle (φ) for the lime stabilized loess considering all scenarios with 7, 28, 90 and 180 days of curing. It can be seen from Table 4 that the friction angle φ of the lime stabilized loess ranges from 36.5° to 38°. The mean, median and standard deviation of the results obtained for the friction angle were 37.25, 37.25 and 0.37, respectively. The change in the amount of lime, the porosity and the time of curing did not lead to a significant effect on the friction angle φ. This indicates that the friction angle φ may be independent of the factors mentioned above for a given lime stabilized loess. This observation was consistent with the previous studies of Consoli et al. [39].
Figure 5 depicts the shear failure planes of the representative lime stabilized loess specimens in the triaxial compression test, including the specimens on molding points A and C with 90 days of curing, and the specimens on point B with 7, 28, 90 days of curing. In order to further verify the reliability of the above test results, the shear failure angle between the shear failure plane and the major principal plane was determined for each specimen, and the shear failure plane was marked with a red line, as shown in Figure 5.
After curing for 180 days, most of the specimens were pressured into pieces when they were taken out of the rubber film, and thus the angle between the shear failure plane and the major principal plane could not be measured. The results listed in Table 5 show that the majority of the shear failure angles ranged from 63° to 68°. According to the Mohr-Coulomb theory, the shear failure angle has a good relation with the friction angle φ, which is known as (45° + φ/2). Combining with the measured shear failure angles, the estimated values of φ varied from 36° to 46°, the mean and median of which were 41.5° and 42°, respectively, and the percentage difference of mean and median of the friction angle obtained by these two approaches were 11.4% and 12.8%, respectively. It can be seen that the φ calculated from the shear failure angle is quite close to the measured values from the triaxial compression test. Furthermore, using the average (37.25°) of the measured friction angles, 45 + 37.25°/2 = 63.6°, the value obtained is closer to 63% (the lower limit of the 63–68° range).

3.2. Effect of Lime Content, Porosity and Curing Time on the Cohesion (c)

Figure 6 illustrates the experimentally determined cohesion c of the lime stabilized loess on molding point D for 7, 28, 90 and 180 days of curing. In addition, cohesion c was linearly fitted as a function of the lime content. For 7 days of curing, the cohesion c of the lime stabilized loess increased up to a lime content of 16%, but then showed a slightly decreasing trend when the lime content was increased to 23%, which led to a lower R2 value (0.221). After 28, 90 and 180 days of curing, the variations of cohesion c exhibited a continuously increasing trend with an increase in lime content for the stabilized loess. In general, the slope of the fitted line increased with the growth in the curing age. This indicates that an increase of curing days induces the increase of the growth rate of cohesion c for the lime stabilized loess.
The variations of cohesion c of the lime stabilized loess with various porosities for all curing times are illustrated in Figure 7. It can be seen that the cohesion c (for all curing time) can be fitted as a function of the porosity for the specimens with the same dry density and lime content. The coefficients of determination (R2) of the linear regression were higher than 0.88 and sometimes even close to 1.0. Overall, the cohesion c of the lime stabilized loess decreased linearly with an increase in the porosity.
The change in shear strength is mainly related to cohesion under the same total stress (σ). For a constant curing time, the variations of strength of stabilized soil were mainly related to the porosity and the content of stabilizing agent of the mixture [46]. In the related studies of Consoli et al. [34], the strength of the lime stabilized soil was determined as a function of the ratio of voids volume to lime volume (VV/VLi), and a power (ς) was applied on the parameter VLi to improve the prediction accuracy. Therefore, it was possible to establish a relation between the cohesion of the lime stabilized loess and the ratio of voids volume to lime volume (VV/VLi). A similar improvement by adding a power (ς) was also considered. The process of obtaining the power is very tedious. During the process, amounts of different values were used as the power (ς), and then regression fitting was performed by original software to obtain different correlation coefficients (R2). The value corresponding to the maximum correlation coefficient was selected as the power.
The ratio of voids volume to lime volume (VV/VLi) is defined by Equation (1). The lime volume (VLi) and voids volume (VV) are expressed by Equations (2) and (3), respectively [34].
V v V L i = Absolute   volume   of   voids Absolute   volume   of   lime
V L i = V S ρ d ( L i 100 ) G s L i
V V = V S V S ρ d ( L i 100 ) G s L i V S ρ d ( L o 100 ) G s L o
A good agreement of the experimental data of c was obtained as presented in Figure 8a–d. A good correlation between the c and Vv/(VLi)ς was achieved by using a power relationship for the lime stabilized loess with various curing periods (7 days, 28 days, 90 days and 180 days). The established relations are given by Equations (4)–(7), respectively. The nomenclatures for all the parameters are summarized in Appendix A.
c ( kPa ) = 1.01 × 10 7 [ V v ( V L i ) 0.11 ] 2.53
c ( kPa ) = 5.758 × 10 4 [ V v ( V L i ) 0.17 ] 1.357
c ( kPa ) = 4.828 × 10 3 [ V v ( V L i ) 0.35 ] 0.834
c ( kPa ) = 497.55 [ V v ( V L i ) 1.15 ] 0.331
It can be observed that the above formulas have evinced a higher correlation of coefficients R2, which are greater than 0.87. In addition, with an increase in curing time from 7days to 28 days, the power (ς) increased almost linearly from 0.11 to 1.15. The best fitting line is displayed in Figure 9. The correlation (R2 = 0.903) between the power (ς) and curing time could be represented by Equation (8).
ς = 0.00599 t 0.01184
Furthermore, based on Equations (4)–(8), a unique relationship was obtained in the cohesion c with lime volume (VLi), voids volume (Vv), and curing time (t). Figure 10 shows that when all the points for all factors mentioned above were plotted together, a formula with a higher correlation of coefficients was still achieved between Vv/(VLi)0.00599t−0.01184 and the cohesion c of the lime stabilized loess (R2 = 0.967, see Equation (9)).
c ( kPa ) = 6.4183 × 10 4 [ V v ( V L i ) 0.00599 t 0.01184 ] 0.00116 + 64,641.32
The comparative analysis was conducted with the cohesion values obtained by applying Equation (9) and the values obtained from the triaxial test results for 28 groups of specimens studied. The results indicated that the percentage difference between the cohesion values obtained by the above two approaches ranged from −19% to 19.7% for 25 groups of specimens. There are specific statistical methods to validate similarity between the groups of values. This analysis can be completed in future work.
Therefore, the use of voids of compacted mixture divided by the volumetric lime content, adjusted by a power (the variation of this power is mainly controlled by the curing time) to assess the cohesion c in the lime stabilized loess studied is herein relatively accurate for all considered curing times.
Figure 11 presents the Mohr Circles of triaxial peak shear strength in a τ–σ stress space and the Mohr-Coulomb failure envelopes of the specimens studied in Figure 3. The Mohr-Coulomb failure envelopes were developed by the proposed methodology (Equation (9) and Table 4) and based on the triaxial compression test results, respectively. It can be seen that the Mohr-Coulomb failure envelopes drawn using φ = 3 6.5° to 38° and c = 6.4183 × 104[VV/(VLi)0.00599t−0.01184]0.00116+64641.32 provide a good representation of the tangent to the Mohr Circles drawn based on triaxial compression test of lime stabilized loess, by comparing the solid lines to the dash lines.
Therefore, the methodology proposed in this study is fairly reliable to access the failure envelope parameters of the lime stabilized loess and the computational process is effectively accomplished from some basic soil tests, thereby reducing the experimental cost and time to a great extent.

4. Conclusions

In pavement design, the engineers need to choose the appropriate lime content, the compaction effort and curing time to provide an optimum mixture. Therefore, the proposed formulas in this study provide a useful reference for a quick and reliable design.
The loess collected from Lanzhou city in northwest China was stabilized with different lime content, porosity and curing time, and its Mohr-Coulomb failure envelope parameters were investigated based on a series of triaxial tests. The following conclusions could be drawn:
(1)
The change in the amount of lime, porosity and curing time did not present an obvious effect on the friction angle of the lime stabilized loess.
(2)
A linear relationship was observed between the cohesion and lime content for the lime stabilized loess with different curing time.
(3)
A linear relationship was also established between the void ratio and the cohesion of the lime stabilized loess.
(4)
The relationship between the lime content, void ratio, curing time and cohesion was established by using the power function fitting regression of experimental data.
(5)
The specimens of the lime stabilized loess presented a brittle behavior, and the brittleness decreased with an increase in the confining pressure, while it increased with an increase in the lime content and curing period.

Author Contributions

The authors confirm their contributions to the paper as follows: L.J. and J.G. proposed the idea and wrote the paper; Y.J. and Y.F. revised the manuscript; Z.Z., S.M.L. and X.Z. reviewed the results and approved the final version of the manuscript.

Funding

This study was funded by the first-class subjects of Lanzhou University of Technology (grant number: 25-225209), National Natural Science Foundation of China (grant number: 51668018) and China Scholarship Council Foundation of China (grant number: 201809795003).

Acknowledgments

The Program of Study Abroad for Middle Age and Young Scholars supported by Lanzhou University of Technology is also acknowledged.

Conflicts of Interest

The authors declare no conflicts of interest.

Appendix A

Table A1. Nomenclature and measure units.
Table A1. Nomenclature and measure units.
LiLime Content (%)cCohesion (kPa)
φFriction Angle (°)tcuring period (day)
VLiVolume of Lime (mm3)ρdDry Density (g/cm3)
Loloess content (%)R2Coefficient of Determination
VSVolume of Specimen (mm3)ςExponential of Power Function
VvVolume of Voids (mm3)ωWater Content (%)
GsLiSpecific Gravity of LimeGsLoSpecific Gravity of Loess

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Figure 1. Apparatus for compaction (a) and triaxial compression test (b) [14].
Figure 1. Apparatus for compaction (a) and triaxial compression test (b) [14].
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Figure 2. Relationships of dry density and water content of different stabilized loess and the corresponding molding points.
Figure 2. Relationships of dry density and water content of different stabilized loess and the corresponding molding points.
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Figure 3. Deviatoric stress-axial strain curves for the drained triaxial compression tests: (a) molding points B for 7 days of curing; (b) molding points B for 28 days of curing; (c) molding points B for 90 days of curing; (d) molding points B for 180 days of curing; (e) molding points A for 90 days of curing; (f) molding points C for 90 days of curing.
Figure 3. Deviatoric stress-axial strain curves for the drained triaxial compression tests: (a) molding points B for 7 days of curing; (b) molding points B for 28 days of curing; (c) molding points B for 90 days of curing; (d) molding points B for 180 days of curing; (e) molding points A for 90 days of curing; (f) molding points C for 90 days of curing.
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Figure 4. Effect of lime content and dry density on friction angles of specimens at all molding points with all curing time.
Figure 4. Effect of lime content and dry density on friction angles of specimens at all molding points with all curing time.
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Figure 5. Failure plane of specimens: (a) molding point B for 7 days of curing; (b) molding point B for 28 days of curing; (c) molding point B for 90 days of curing; (d) molding point A for 90 days of curing; (e) molding point C for 90 days of curing.
Figure 5. Failure plane of specimens: (a) molding point B for 7 days of curing; (b) molding point B for 28 days of curing; (c) molding point B for 90 days of curing; (d) molding point A for 90 days of curing; (e) molding point C for 90 days of curing.
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Figure 6. Effect of lime content and curing time on the c of specimens at molding point D.
Figure 6. Effect of lime content and curing time on the c of specimens at molding point D.
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Figure 7. Variations of cohesion c with different porosity at molding points C, D and E.
Figure 7. Variations of cohesion c with different porosity at molding points C, D and E.
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Figure 8. Variation of the cohesion c with Vv/(VLi)ς for different curing time: (a) 7 days; (b) 28 days; (c) 90 days; (d) 180 days.
Figure 8. Variation of the cohesion c with Vv/(VLi)ς for different curing time: (a) 7 days; (b) 28 days; (c) 90 days; (d) 180 days.
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Figure 9. Variation of power (ς) for different curing time.
Figure 9. Variation of power (ς) for different curing time.
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Figure 10. Correlation of c with voids volume (VV), lime volume (VLi) and curing time (t).
Figure 10. Correlation of c with voids volume (VV), lime volume (VLi) and curing time (t).
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Figure 11. Mohr–Coulomb failure envelopes of lime stabilized loess (using methodology developed in present research) (a) molding points B for 7 days of curing; (b) molding points B for 28 days of curing; (c) molding points B for 90 days of curing; (d) molding points B for 180 days of curing; (e) molding points A for 90 days of curing; (f) molding points C for 90 days of curing.
Figure 11. Mohr–Coulomb failure envelopes of lime stabilized loess (using methodology developed in present research) (a) molding points B for 7 days of curing; (b) molding points B for 28 days of curing; (c) molding points B for 90 days of curing; (d) molding points B for 180 days of curing; (e) molding points A for 90 days of curing; (f) molding points C for 90 days of curing.
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Table 1. Physical properties of loess.
Table 1. Physical properties of loess.
PropertiesValues
Liquid Limit24.67%
Plastic Limit13.51%
Plasticity Index11.16%
Particle Size≤0.5 mm
Specific Gravity2.71
Dry Density1.38 g/cm3
Water Content3.5%
Cohesion13.8 kPa
Friction Angle29.6°
Table 2. Chemical compositions of lime.
Table 2. Chemical compositions of lime.
CompositionsValues
Ca(OH)2≥94%
CaCO3≤4%
MgO≤2%
SiO2≤2%
Pb≤0.4 ppm
As≤2.71%
Free Moisture≤1.0%
Table 3. Characteristics of molding points.
Table 3. Characteristics of molding points.
Pointρd (g/cm3)Porosity (%)ω (%)Lime Content (%)
A1.716.8716.810
B1.6610.6717.9716
C1.5814.5919.423
D1.485.94, 9.51, 13.6719.410, 16, 23
E1.3812.7519.423
Table 4. The friction angle for lime stabilized loess at curing time of 7, 28, 90 and 180 days.
Table 4. The friction angle for lime stabilized loess at curing time of 7, 28, 90 and 180 days.
SpecimenCuring Time (Day)ρd (g/cm3)Lime Content (%)Friction Angle (°)
171.711037.7
2281.711037.4
3901.711036.7
41801.711037.4
571.661637.8
6281.661637.0
7901.661637.8
81801.661637.4
971.582337.6
10281.582337.1
11901.582338.0
121801.582337.4
1371.481036.7
14281.481037.1
15901.481037.2
161801.481037.3
1771.481637.2
18281.481636.7
19901.481637.7
201801.481637.1
2171.482337.5
22281.482336.8
23901.482337.4
241801.482337.1
2571.382336.5
26281.382337.0
27901.382337.1
281801.382337.3
Table 5. The angle of shear plane to the horizontal of specimens for 7, 28, 90 and 180 days of curing.
Table 5. The angle of shear plane to the horizontal of specimens for 7, 28, 90 and 180 days of curing.
SpecimenCuring Time
(Day)
Dry Density
(g/cm3)
Lime Content (%)The Angle of Shear Plane (°)
Confining Pressure (kPa)
50100150200250300400500
171.711064666566666870/
2281.71106268656168676765
3901.71106364686372696464
41801.7110////68//69
571.661666686664656465/
6281.66166064656768676673
7901.66167068676866686266
81801.6616/68///6967/
971.582360686564636467/
10281.58236367676665646366
11901.58236564686864656568
121801.5823///6764/72/
1371.481067676664656467/
14281.48106766656863656863
15901.48106363686566666666
161801.48106367666568646867
1771.481666636863646667/
18281.48166563656663646664
19901.48166767656463656566
201801.4816/66////6969
2171.482363656763676868/
22281.48236867686769666767
23901.48236663656365646863
241801.4823///63/64/66
2571.382365656867676864/
26281.38236864656668676464
27901.38236863636564646564
281801.3823//6863////

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Jia, L.; Guo, J.; Jiang, Y.; Fu, Y.; Zhou, Z.; Lim, S.M.; Zhao, X. Experimental Investigation on Shear Strength Parameters of Lime Stabilized Loess. Sustainability 2019, 11, 5397. https://doi.org/10.3390/su11195397

AMA Style

Jia L, Guo J, Jiang Y, Fu Y, Zhou Z, Lim SM, Zhao X. Experimental Investigation on Shear Strength Parameters of Lime Stabilized Loess. Sustainability. 2019; 11(19):5397. https://doi.org/10.3390/su11195397

Chicago/Turabian Style

Jia, Liang, Jian Guo, Yanbin Jiang, Yong Fu, Zhidong Zhou, Sin Mei Lim, and Xiushao Zhao. 2019. "Experimental Investigation on Shear Strength Parameters of Lime Stabilized Loess" Sustainability 11, no. 19: 5397. https://doi.org/10.3390/su11195397

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