 
          2874
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          rebound deformation and recompression deformation, such as
        
        
          the relation curves of unloading ratio-rebound proportion, the
        
        
          relation curves of unloading ratio- modulus of resilience, the
        
        
          relation curves of reloading ratio-recompression ratio etc.
        
        
          (1)  The relation curves of unloading ratio-rebound proportion
        
        
          In the process of unloading, figure 2 shows that: i) as the
        
        
          unloading ratio is less than 0.4, the rebound deformation is less
        
        
          than 10% of the total rebound deformation; ii) as the unloading
        
        
          ratio increases to 0.8, the rebound deformation is about 40% of
        
        
          the total one; iii) as the unloading ratio increases from 0.8 to 1.0,
        
        
          the rebound deformation is about of 60% of the total one. So
        
        
          unloading ratio is the key influencing factor of rebound
        
        
          deformation.
        
        
          Figure 2. The relation curves of unloading ratio-rebound
        
        
          proportion of clay soil sample
        
        
          (2) The relation curves of unloading ratio-modulus of resilience
        
        
          The modulus of resilience is not a constant, see Figure 3. It
        
        
          varies with the unloading ratio and exhibits three-phase
        
        
          character
        
        
          
            istics. For the soil of the same depth, the modulus of
          
        
        
          
            resilience is varied according to the excavation depth. The
          
        
        
          
            relation curves of R-E
          
        
        
          
            c
          
        
        
          
            can be divided into two lin
          
        
        
          e segments,
        
        
          see figure 3(a), and the unloading ratio of intersection of the two
        
        
          line segments can be defined as critical unloading ratio
        
        
          
            R
          
        
        
          cr
        
        
          .
        
        
          When
        
        
          
            R
          
        
        
          <
        
        
          
            R
          
        
        
          
            c
          
        
        
          r
        
        
          ,
        
        
          
            E
          
        
        
          c
        
        
          increases sharply and rebound deformation
        
        
          could be negligible. The relation curves of
        
        
          
            R- lgE
          
        
        
          c
        
        
          also can be
        
        
          divided into two line segments approximately, see figure 3(b),
        
        
          and the intersection point of the two line segments can be
        
        
          defined as limit unloading ratio
        
        
          
            R
          
        
        
          u
        
        
          . When
        
        
          
            R
          
        
        
          >
        
        
          
            R
          
        
        
          
            u
          
        
        
          ,
        
        
          
            E
          
        
        
          c
        
        
          decreases
        
        
          sharply and the most rebound deformation occurs.
        
        
          (a)
        
        
          (b)
        
        
          Figure 3. The relation curves of
        
        
          
            R-E
          
        
        
          c
        
        
          and
        
        
          
            R-lgE
          
        
        
          c
        
        
          of clay soil sample
        
        
          The relation curves of unloading ratio-modulus of resilience can
        
        
          be used to determine the calculation depth of rebound
        
        
          deformation. In calculation, the depth of
        
        
          
            R
          
        
        
          
            c
          
        
        
          r
        
        
          can be calculated.
        
        
          The rebound deformation beneath the depth is negligible, and
        
        
          rebound deformation of this depth can be calculated. The
        
        
          rebound deformation result meets the requirments of
        
        
          engineering.
        
        
          
            2.2 The Law of Recompression Deformation
          
        
        
          (1) The relation curves of reloading ratio-recompression ratio
        
        
          [3]
        
        
          In the process of recompression, the curves of reloading ratio-
        
        
          recompression ratio of clay soil, see figure 4, shows that: i) as
        
        
          the reloading ratio
        
        
          
            R
          
        
        
          ’ is 0.2, the recompression deformation is
        
        
          about 40% ~60% of rebound deformation; ii) as the reloading
        
        
          ratio increases to 0.4, the recompression deformation is about
        
        
          70% of rebound deformation; iii) as the reloading ratio
        
        
          increases to 0.6, the recompression deformation is about 90% of
        
        
          rebound deformation; iv) as the reloading ratio reaches 0.8, the
        
        
          recompression is roughly euqal to the rebound deformation; v)
        
        
          for this kind of soil, as the reloading pressure is equal to the
        
        
          unloading pressure, the recompression deformation is 1.2 times
        
        
          to the rebound deformation. A large amount of testing data
        
        
          show that,  the recompression deformation is not equal to the
        
        
          rebound deformation in value as the reloading ratio is equal to
        
        
          1.0. Generally the recompression deformation is larger, and the
        
        
          increase proportion of deformation varies with different kind of
        
        
          soil
        
        
          [4]
        
        
          .
        
        
          Figure 4. The curves of reloading ratio-recompression ratio of clay soil
        
        
          
            2.3 Verification by Model experiment
          
        
        
          In order to verify the law of rebound and recompression, the
        
        
          model experiment was
        
        
          carried out in the laboratory of Institute
        
        
          of Foundation Engineering, China Academy of Building
        
        
          Research. In the model experiment, soil deformation was
        
        
          monitored during excavating and backfilling. The dimension of
        
        
          the test pit is 13.0m×5.3m, the excavation depth is 3.5m, and
        
        
          the backfilling depth is about 3.5m. Rigid measure points were
        
        
          installed into the soil in different depth to measure the
        
        
          deformation during the model experiment
        
        
          [1, 5, 6]
        
        
          .
        
        
          Figure 5. The curves of unloading ratio-rebound proportion of soil at the
        
        
          bottom of excavation
        
        
          Figure 6. The curves of reloading ratio-recompression ratio of soil at the
        
        
          bottom of excavation
        
        
          The curves of unloading ratio-rebound proportion of soil at the
        
        
          bottom of excavation, see figure 5, reflect the similar law of
        
        
          rebound deformation with curves of soil tests, but the curves are
        
        
          relatively flat, compared with the curves of soil tests.
        
        
          In the process of backfilling, the curves of reloading ratio-
        
        
          recompression ratio of soil show as figure 6. The recompression
        
        
          deformation of soil can be divided into two line segments, and
        
        
          the reloading ratio of the intersection point of the two line