3.1. Influence of Dry Bulk Density and Water Content
The bulk density affects compacted unsaturated soil such that the shear strength gradually increases with an increasing dry bulk density, and the degree of the increase decreases significantly with increasing water content. When the water content is around the natural water content (20%), the shear strength has a significant positive correlation with the dry bulk density, as shown in
Figure 3. When the dry bulk density was 1.1 g/cm
3, the shear strength of the specimen was 27.3, 35.3, 50.3, and 79.7 kPa in the range of 12.5~100 kPa; when the dry bulk density increased to 1.2 g/cm
3, the shear strength was 35.7, 46.8, 60.9, and 90.5 kPa; and when the bulk density was 1.3 g/cm
3, the shear strength was 55.3, 64.9, 83.7, and 116.2 kPa. Correspondingly, when the dry bulk density was 1.1 g/cm
3, c was 29.86 kPa and the corresponding φ was 31.4°; when the bulk density increased to 1.2 g/cm
3, c was 47.5 kPa and φ was 34.8°; and when the dry bulk density was 1.3 g/cm
3, c was 57.5 kPa and φ was 37.5°; therefore, with increasing dry bulk density, the cohesion force and the internal friction angle increased. Zhang et al. [
19] studied the variation law of shear strength with the dry bulk density of intermountain surface loam and found it to have the same trend as presented in our research. The main reason for this phenomenon is that the increase in dry bulk density changes the contact mode between soil particles. In the low bulk density state, the contact mode between the particles is point contact. In the high bulk density state, due to the dense particle distribution and extrusion, the point contact mode becomes a point–surface contact or a surface contact, which greatly increases the cohesion and internal friction angle, resulting in an increase in shear strength [
20,
21].
The water content is negatively correlated with the shear strength of compacted unsaturated soil. The higher the water content, the lower the value to which shear strength decreases. The decrease in water content can effectively result in an increase in the shear strength of the soil. As shown in
Figure 4, when the dry bulk density was 1.3 g/cm
3, the Mohr–Coulomb line of the shear strength under the 16% water content condition was much higher than the shear strength of the other cases, and the changes in the c and φ values are shown in
Table 3. Decreasing water content results in an increase in shear strength and increases the cohesion and the angle of internal friction. Taking D3 as an example, when the water content was decreased from 24% to 16%, c increased from 19.8 kPa to 111.7 kPa and φ increased by 16.1°. These results are similar to the research conclusions on the shear strength of specimens under high normal stress of 100~400 kPa presented by Huang et al. [
22], where it was concluded that the reduction in water content changed the cohesion and the internal friction angle. The above phenomenon was also exhibited under the low normal stress of 100 kPa, and the Mohr–Coulomb line in this study was not linear. It can be seen from
Figure 4 that with increasing normal stress, c increased while φ gradually decreased. Under the influence of water content and dry bulk density, the lower the dry bulk density and the greater the water content, the lower the shear strength. The change trend of the mechanical parameter c was positively correlated with the shear strength, although φ decreased. The amplitude ratio was smaller, and the change was relatively stable. In the case of low bulk density, since there are still many pore structures that are not filled at low bulk density, the particles are in a state of point contact, and the water content is not able to change their loose state [
19]; therefore, it can be seen that shear strength and related parameters increase to a lesser extent.
In the experimental group of dry bulk density and water content, the Mohr–Coulomb curve was not a straight line but indicated lower shear strength under lower stress, as can be seen for D3-B16, D3-B20, D2-B16, and D1-B16. With increasing normal stress, the shear strength showed a nonlinear increase and the internal friction angle continued to decrease to the internal friction angle in the high-water-content experimental group, whereby the same phenomenon was described by Xiao et al. [
23]. With increasing normal stress, the growth rate of the strength gradually decreased to a stable state. Under the normal stress of 0~50 kPa, the shear strength of the soil presented a nonlinear increase, and after reaching 50 kPa, it showed a stable linear increase.
In this experimental group, the Mohr–Coulomb curves fitted by the experimental groups with water contents of 16% and 20% were compared with the Mohr–Coulomb curve formed by connecting the 50~100 kPa line, and it was found that when the water content was greater than 20%, both c and φ were similar. In the research of Xiao et al. [
23], there was also a Mohr–Coulomb curve formed by connecting two points. The values of c and φ decreased with increasing normal stress and tended to be stable. Combined with the content of this study, the slope of the 50~100 kPa segment, the internal friction angle, and cohesion results are listed for comparison, and the results are shown in
Table 3.
On the basis of
Figure 5 and
Table 3, it can be found that in the two fitted Mohr–Coulomb curves, the full-phase curve in
Figure 4 of 12.5~100 kPa is not linear but shows nonlinearity under low stress; therefore, the fitted Mohr–Coulomb curve was not very close to the real values measured by the test. After fitting the full-phase curve to a straight line (AC), the specific performance showed that the c value of AC was lower than the value of the 50~100 kPa curve (HC), and the φ value of the AC segment curve was higher than that of the HC curve. With decreasing water content, the φ value increased more, and in the specimen with a water content of 24%, it was found that the φ value became stable in this range, while both c and φ showed an increase with increasing dry bulk density and a decrease with decreasing water content.
According to the research conclusions of Huang et al. [
22], when the normal stress is higher than 100 kPa, c and φ are greatly affected by water content. In this study, in the experimental group with 16% water content under the loading of different normal stresses in the range of 12.5~100 kPa, the φ value gradually decreased with increasing normal stress until a relatively stable value coinciding with the value of the linear Mohr–Coulomb curve was exhibited in the high stress stage; this same phenomenon was reported in the research by Xiao et al. Although the AC’s parameters have a certain deviation compared with the linear parameters, they reflect the specimen’s the actual value, so this paper discusses the actual value of c and φ within the range of 12.5~100 kPa.
3.2. Influence of Bentonite Content
The addition of bentonite can effectively increase the shear strength of unsaturated compacted soil. When the content of bentonite increased from 0% to 30%, the shear strength increased significantly in each water content stage, especially at low water content. Comparing
Figure 5 with
Figure 6, when the water content was 16%, and with increasing the normal stress, the shear strength of B18 compared with B0 increased from 2.6 kPa to 27.7 kPa, B24 increased from 4.1 kPa to 72.0 kPa, and B30 increased from 3.6 to 116.5 kPa. The c and φ values of the specimens were calculated using the method described above. The results are shown in
Table 4. The improvement in shear strength was accompanied by an increase in cohesion and the internal friction angle. The experimental group with bentonite added, on the whole, showed a gradual decrease in internal friction angle and an increase in cohesion with increasing amount of bentonite added [
24].
In different remodeled soil specimens, the increase in the shear strength of the specimens with the addition of bentonite occurs with increasing addition amount and increasing shear strength. In the experimental group with the same addition amount of bentonite, the internal friction angle and cohesion decreased with increasing water content, as shown in
Table 4; bentonite itself has strong cohesion, and increasing the amount of bentonite added caused a higher expansion force, which was accompanied by an increase in the internal elastic energy of the soil and the ability to resist external forces, such that the content of bentonite increased from 18% to 30% while the internal friction angle and cohesion also increased gradually.
In addition, the particle size ratio is also one of the reasons for the change in shear strength and related parameters. The particle size composition of the B18~B30 specimens is different, and the particle size of the bentonite is 44 μm. The prepared soil is classified as silt. With the addition of bentonite, the particle composition of the remodeled expansive soil also changes. As shown in
Table 5, the increase in bentonite content in the silt led to an increase in the internal friction angle. The reason for this phenomenon is that the specific surface area of the silt particles is larger than that of sand particles, and this increase in specific surface area is able to increase the force between the particles, resulting in matrix suction [
25], and matric suction is well-known to be a factor in cohesion force. The increase in the number of silt particles also makes the originally loose soil structure denser, resulting in more effective contact between particles, and the occlusal force between smaller particles also increases [
26]. Both of these effects result in changes in cohesion and internal friction angle from a macroscopic perspective. In this study, when the bentonite content of the silt was increased from 43.5% to 51.8%, the internal friction angle increased by 2.4~12.8° and the cohesion force increased by 1.49~60.8 kPa.
3.3. Influence of Pb(II) Concentration
The shear strength is regulated in remodeled soil treated by Pb(II) ions such that the higher the concentration, the lower the shear strength, and the degree of reduction in shear strength increases with increasing Pb(II) ion concentration.
In the Yunnan mountain red laterite experimental group without bentonite, the effect of Pb(II) ion concentration on the mechanical strength of the remodeled soil was very small, ranging from 3 kPa to no more than 8 kPa, and the influence on the internal friction angle of the experimental group was 0.2~0.67°. As can be seen in
Figure 7, the curves of the samples in the contaminated group overlap with those in the uncontaminated experimental group. The maximum decrease in the D1 group was 3.7, 6.4, and 5.1 kPa, the maximum decrease in the D2 group was 3, 3.8, and 4.9 kPa, the maximum decrease in the D3 group was 7.4, 4.4, and 4.3 kPa, and the characteristics of the Mohr–Coulomb curve were almost the same as in the uncontaminated group, but under high normal stress, the decay rate of shear strength increased rapidly, and the results are similar to those of the test performed by Zha et al. investigating unconfined soil shear strength [
27]. The damage to the specimens caused by Pb(II) ions comes from the replacement of cations in the clay mineral lattice of part of the bentonite with Pb(II) ions, while the displaced cations are distributed on the edges of the crystal, forming an unstable crystal structure and resulting in a decrease in mechanical strength [
28]. In the low-stress section, the corrosion damage caused by Pb(II) ions is not obvious inside the specimen, while the high-stress stage is similar to the effect of magnification, amplifying the effect of damage and resulting in a slight decrease in the internal friction angle and cohesion force. The main mineral components of laterite are iron oxide and aluminum oxide and the sand content is 45.18%, both of which lead to a limitation of the damage caused by the reaction with Pb(II) ions. Because the main components of bentonite are silicon dioxide and aluminum oxide and it contains a small amount of calcium oxide and magnesium oxide, Pb(II) ion pollution chemically reacts with its chemical composition, thus reducing the mechanical strength of the specimen.
In the experimental group with the addition of bentonite addition, it can be clearly seen in
Figure 8,
Figure 9 and
Figure 10 that with increasing Pb(II) ion concentration, the shear strength of the specimen under each normal stress decreased very quickly, especially in the higher dry bulk density treatment. With the increase in bentonite content from 0% to 30%, the degree of decrease in shear strength first increased and then decreased, while the shear strength of B24 decreased the most, at 56.1 kPa, which was the maximum reduction achieved in the contaminated soil. The shear strengths of the experimental groups with any amount of bentonite were greatly affected compared with the experimental group without bentonite, and the decrease showed an increasing trend with decreasing water content and increasing dry bulk density, as shown in
Figure 7,
Figure 8,
Figure 9 and
Figure 10.
When treated with Pb(II) ions, the shear strength of each specimen decreased but this reduced shear strength was still greater than that of the experimental group without bentonite under the same treatment. At 50 kPa, the shear strength of B0-D3W16 treated with different concentrations of Pb(II) ions was 103.1, 100.5, 99.0, and 97.9 kPa, that of the B18-D3W16 group was 123.0, 119.9, 117.5, and 112.2 kPa, and that of the B24-D3W16 group is 146.7, 137.4, 129.5, and 118.3 kPa. The strength of the B30-D3W16 group was 174.2, 172, 162.5, and 152.3 kPa. It can be seen that the shear strengths of the experimental groups with bentonite added were greater than that of the experimental group without bentonite, even when damaged by Pb(II) ions.
When treated with the Pb(II) ion solution, the shear strength of the B24 experimental group decreased the most; the shear strength of the B18 experimental group decreased by 0.5~12.7 kPa, the B24 group decreased by 3.9~30.3 kPa, and the B30 group decreased by 2.2~22.4 kPa. The shear strength of the B18 experimental group showed an increasing trend, except that the D1W16 and D2W16 experimental groups showed a slight decrease after erosion compared with the experimental group without the addition of bentonite. The shear strength of the B18 groups treated with Pb(II) ions under a normal stress of 100 kPa increased by 4~20.6 kPa compared with the experimental group of B0. B24 increased by 2.3~38.4 kPa, and B30 increased by up to 73.5 kPa compared with B0. The above increments all increased with increasing dry bulk density and decreasing water content, which is consistent with the phenomenon previously described. The decrease in the shear strength of bentonite caused by the influence of Pb(II) ions tended to be stable when the addition of bentonite reached 24%, indicating that the maximum amount of bentonite is 24%, after which the effect of the Pb(II) ions on the shear strength of the specimen decreased and the increase in shear strength began to decay. Comparing groups with the same dry bulk density in
Figure 7 and
Figure 10, it can be seen from the degree of decrease in shear strength with Pb(II) pollution had a greater effect on specimens with lower water content and higher bulk density.
Pb(II) ions also had a certain influence on the mechanical parameters of the specimen. Taking the B24 experiment group as an example, as shown in
Table 6, the values of c and φ of the Mohr–Coulomb curve of each treatment all showed a decrease with increasing Pb(II) ion concentration. When the water content was constant, the φ value of the specimen decreased by 0.5~3.9° when the Pb(II) ion concentration was 0.2 mol/L; it decreased by 1.8~7.1° when the Pb(II) ion concentration was 1 mg/L; and it decreased by 3.3~9.7° when the Pb(II) ion concentration was 5 mg/L. The lower the water content, the more susceptible the φ value was, as was the c value. The higher the dry bulk density, the more susceptible the c value was. Taking W16 as an example, when E50 and E0 are compared, the c value of D30 was reduced by 27.7 kPa, D2 was reduced by 12.8 kPa, and D1 was only reduced by 3.3 kPa. It can be seen that the c and φ values have high sensitivity to water content and bulk density.
The damage caused by Pb(II) ions to the specimens, resulting in the decrease in mechanical strength, is amplified when the water content decreases. During the drying process of the specimens, the original micro-damage and particle contact changes, leading to a reduction in the internal forces, such as the bite force and matric suction [
29], between soil particles. Essentially, as the concentration of Pb(II) ions increases, the internal defects of the soil increase under the interaction force, the flaky structure on the surface of the bentonite gradually disappears, and cracks appear on the surface of large particles and clay minerals inside the specimen. The structure of the expansive soil suffers continuous damage, the bonding between particles becomes smaller, and the heavy metal ions destroy the structure of clay minerals in the expansive soil, thus reducing the occlusion between large particles [
30,
31], and the increase in normal stress significantly deteriorates the internal defects; macroscopically, this defect manifests as a decrease in c and a decrease in φ.
3.4. Shear Strength and Displacement Characteristics
The stress–strain curve of the soil reflects the mechanical properties of the specimen under load from external force. The shear modulus, calculated using the slope of the elastic stage included in the stress–strain curve and the residual stress in the stable stage after the peak strength, can reflect the stress state of a specimen under different normal stresses and external forces during testing.
Figure 11a shows the stress–strain curve of each specimen in the B0W24 group when the normal stress is 25 kPa. It can be seen that with increasing dry bulk density, the peak value of the specimen increased and the shear modulus was 16.6, 24.2, and 28.6 kPa/mm. With a dry bulk density of 1.1 g/cm
3 and 1.2 g/cm
3, the peak strength of the specimens increased with increasing displacement and no fracture occurred within the limited range, so the residual strength cannot be read, while the residual strength of the specimen with a bulk density of 1.3 g/cm
3 was 28.1 kPa.
Figure 11b shows the stress–strain curves of specimens with different water contents in the B0D3 group under a normal stress of 25 kPa. It can be seen that with increasing water content, the brittleness of the specimens decreased and the ductility increased significantly, while the displacement of reaching peak strength increased with the water content from 2.2 mm at 16% water content to 2.6 mm at 20% water content and 3.2 mm at 24% water content. At the same time, the elastic modulus of the specimen decreased from 93.5 kPa/mm at 16% water content to 28.6 kPa/mm at 24% water content; the residual strength also decreased with increasing water content, with values of 63.99, 39.18, and 28.1 kPa, respectively. It can be seen that increasing the dry bulk density and decreasing water content could effectively result in an increased shear modulus and ductility in the soil, such that it has greater elasticity and can resist damage due to external forces, and the residual strength of the specimen could also be greatly improved after failure.
Figure 12 shows the stress–strain curves of specimens with different contents of bentonite in the D3W24 group at 25, 28.1, 29.9, 34.3, and 37.8 kPa, where it can be seen that the increase in the bentonite content caused a greater increase in the shear strength due to the increase in the shear modulus and the displacement of the shear elastic phase in the experimental group with bentonite increased by 0.4, 0.6, and 0.6 mm compared with the experimental group without the addition of bentonite; not only did the increment of shear strength increase but the elastic stage of the specimen was also prolonged. Therefore, the specimen with a high content of bentonite exhibits high shear strength. The mentioned changes in particle size composition and properties of bentonite are also responsible for the increase in shear strength. At the same time, the increase in the amount of bentonite led to the advance of the yield limit point, and the peak strength was 4 mm, 3.6 mm, 3.6 mm, and 3.2 mm when the amount of bentonite was increased; that is, although the shear strength of the bentonite specimen increased, the required failure displacement decreased significantly, indicating that the addition of bentonite greatly increased the brittleness of the specimen. After reaching the yield limit, the displacement of the residual stress decreased rapidly with increasing bentonite content.
In addition to reducing the cohesion and internal friction angle of the specimen, Pb(II) ions also had a great impact on the stress–strain characteristics of the specimens.
Figure 13 shows the stress–strain characteristics of the specimens under different degrees of lead ion contamination in the D3B24 group. From the graph, it can be clearly seen that Pb(II) contamination decreased the brittleness of the specimen, and the displacement reaching the peak value of shear strength was obviously moved backward, increasing by 0.2~0.4 mm. In addition, after the specimen reached its peak strength, the instantaneous attenuation of shear strength gradually decreased with increasing normal stress. Under the stress of 12.5 kPa, with increasing concentration of lead ion contamination, the shear strength of specimen decreased rapidly within 0.4 mm displacement, with change rates of 26.2%, 41.4%, 44.8%, and 53.1%, respectively. This phenomenon gradually decreased with increasing normal stress. The change rates of E0~E50 within 0.4 mm at 25 kPa were 40.1%, 24.3%, 37.0%, and 45.7%, the change rates at 50 kPa were 40.0%, 26.2%, 33.7%, and 28.1%, and the change rates at 100 kPa were 11.5%, 22.5%, 16.9%, and 13.5%. This phenomenon is related to the densification of the specimen caused by the normal stress in the former discussion presented in this research. With an increasing concentration of Pb(II) ion contamination, the residual stress also showed a decreasing trend that is similar to the law of peak strength. When the normal stress was 12.5 kPa, the residual strengths of E0~E50 were 29.6 kPa, 21.2 kPa, 17.9 kPa, and 12.9 kPa, and with increasing normal stress, the residual strength of each treated specimen increased. When the Pb(II) ion pollution was 0.2 mg/L, the residual strengths under 12.5~100 kPa were 21.2 kPa, 25.6 kPa, 36.5 kPa, and 41.5 kPa, respectively.
The slope of the straight line in the elastic phase gradually decreased with increasing Pb(II) ion concentration. It can be seen from
Figure 13a,b that the Pb(II) ions had little effect on the elastic stage of the specimen at relatively low stress. In
Figure 13a, the shear modulus had values of 55.7, 52.9, 52.3, and 50.9 kPa/mm, and with increasing Pb(II) ion concentration, it showed values of 60.5, 59.6, 56.5, and 55.5 kPa/mm in
Figure 13b, but with increasing normal stress, the higher the concentration of Pb(II) ion contamination, the greater the decrease in the shear modulus of the specimen. In
Figure 13c, with increasing Pb(II) ion concentration, the shear modulus of the specimen was 73.2, 70.8, 65.5, and 61.7 kPa/mm, and in
Figure 13d, it was 75.7, 71.1, 65.4, and 63.7 kPa/mm. The higher the normal stress, the easier plastic failure occurs and the easier the shear strength of the specimen is damaged, which also explains why the shear strength decreased with increasing normal stress.