 
          1613
        
        
          Technical Committee 203 /
        
        
          
            Comité technique 203
          
        
        
          3.2
        
        
          
            Cyclic Mobility (MT) vs Runaway Deformation (DD)
          
        
        
          A remarkable change in MT behavior is observed as soon as the
        
        
          soil density reaches D
        
        
          rc
        
        
          = 35%. Cyclic mobility prevails in its
        
        
          failure mode when
        
        
          
        
        
          = 0. Under otherwise identical condition,
        
        
          DD specimen is still liable to complete collapse i.e. runaway
        
        
          deformation. It is illustrated in Figure 3.
        
        
          Here, cyclic mobility is featured by the progressive excess
        
        
          PWP build-up which eventually leads to transient softening of
        
        
          soil whenever the applied deviatoric stress reaches zero. When
        
        
          it is non-zero, the sand gains back strength and stiffness as a
        
        
          result of the temporary PWP reduction. Yet, once softening is
        
        
          first triggered, the associated deformation becomes excessive
        
        
          and keeps accumulating in double-amplitude.
        
        
          Figure 3. Cyclic mobility (MT) & runaway deformation (DD):
        
        
          [D
        
        
          rc
        
        
          =35%,
        
        
          
        
        
          nc
        
        
          ’=100kPa,
        
        
          
        
        
          =0, CSR
        
        
          n
        
        
          =0.225(MT),0.125(DD)]
        
        
          Figure 4. Plastic strain accumulation in single amplitude (MT & DD):
        
        
          [D
        
        
          rc
        
        
          =35%,
        
        
          
        
        
          nc
        
        
          ’=100kPa,
        
        
          
        
        
          =0.4, CSR
        
        
          n
        
        
          =0.4]
        
        
          3.3
        
        
          
            Plastic Strain Accumulation (MT & DD)
          
        
        
          By simply imposing initial shear stress (
        
        
          
        
        
          = 0.4) to the test
        
        
          conditions presented in Section 3.2, the failure mode is abruptly
        
        
          changed into plastic strain accumulation in single-amplitude for
        
        
          both fabric types but obviously the rate of strain gain is different
        
        
          (Figure 4).
        
        
          3.4
        
        
          
            Cyclic Mobility (MT) vs Limited Deformation (DD)
          
        
        
          The fabric effect has been observed remarkable at loose state. It
        
        
          is, therefore, of interest to explore how it might change at a
        
        
          denser state. A single series of tests has thus been conducted:
        
        
          D
        
        
          rc
        
        
          = 50%,
        
        
          
        
        
          nc
        
        
          ’ = 100kPa and
        
        
          
        
        
          = 0 (Figure 5).
        
        
          At such condition, another form of limited deformation is
        
        
          observed, again, only in DD behavior. Instead of being followed
        
        
          by a high pace of plastic strain accumulation, the partial
        
        
          collapse is succeeded by cyclic mobility. This failure mode is
        
        
          clearly different from the pure mobility exhibited by the MT
        
        
          specimen. Sudden and abrupt deformation and PWP build-up to
        
        
          the state of transient softening are triggered in the course of
        
        
          cyclic load application on the DD specimen. That on MT
        
        
          specimen is, on the other hand, progressive and controlled.
        
        
          -75
        
        
          -50
        
        
          -25
        
        
          0
        
        
          25
        
        
          50
        
        
          75
        
        
          -15
        
        
          -10
        
        
          -5
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          Deviatoric stress  (kPa)
        
        
          Axial strain (%)
        
        
          .
        
        
          
            MT
          
        
        
          
            DD
          
        
        
          -60
        
        
          -40
        
        
          -20
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          -15
        
        
          -10
        
        
          -5
        
        
          0
        
        
          5
        
        
          10
        
        
          Deviatoric stress  (kPa)
        
        
          Axial strain (%)
        
        
          
            MT
          
        
        
          
            DD
          
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          100
        
        
          120
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          20
        
        
          Excess PWP (kPa)
        
        
          Loading  cycles
        
        
          
            MT
          
        
        
          
            DD
          
        
        
          0
        
        
          20
        
        
          40
        
        
          60
        
        
          80
        
        
          100
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          20
        
        
          25
        
        
          30
        
        
          Excess PWP (kPa)
        
        
          Loading  cycles
        
        
          
            MT
          
        
        
          
            DD
          
        
        
          Figure 5. Cyclic mobility (MT) & limited deformation (DD):
        
        
          [D
        
        
          rc
        
        
          =50%,
        
        
          
        
        
          nc
        
        
          ’=100kPa,
        
        
          
        
        
          =0, CSR
        
        
          n
        
        
          =0.25(MT),0.175(DD)]
        
        
          4 MICROSCOPIC INTERPRETATION
        
        
          It is attempted to offer an explanation to the above macroscopic
        
        
          observations from a microscopic perspective on a qualitative
        
        
          basis. It has been consistently observed that: 1) limited
        
        
          deformation prevails in DD behavior only; 2) DD and MT
        
        
          behaviors are distinctive only when
        
        
          
        
        
          presents at loose state but
        
        
          when
        
        
          
        
        
          is absent at dense state; and 3) both DD-induced excess
        
        
          PWP build-up pace and axial deformation rate are higher.
        
        
          0
        
        
          30
        
        
          60
        
        
          90
        
        
          120
        
        
          150
        
        
          180
        
        
          0
        
        
          1
        
        
          2
        
        
          3
        
        
          4
        
        
          5
        
        
          6
        
        
          7
        
        
          Deviatoric stress  (kPa)
        
        
          Axial strain (%)
        
        
          
            MT
          
        
        
          
            DD
          
        
        
          8
        
        
          4.1
        
        
          
            Degree of Anisotropy
          
        
        
          Following the pioneering works by Oda (1972a), it is generally
        
        
          accepted that dry sand when deposited under gravity would
        
        
          have the contact normals aligning preferentially along the
        
        
          deposition direction because the particles tend to stop at the
        
        
          most stable position. This features the high degree of anisotropy
        
        
          induced in the DD specimen. On the contrary, initial moisture
        
        
          contributes suction which holds particles of MT specimen
        
        
          together. The orientation of grains is thus not controlled by
        
        
          gravity. Such random particle orientation results in a more
        
        
          isotropic structure, which is similar to the honeycomb structure
        
        
          suggested by Casagrande (1975). Figure 6 hypothetically shows
        
        
          these two distinct fabric structures. This difference in anisotropy
        
        
          is consistent with the quantitative study by Yang et al. (2008)
        
        
          who computed the average vector magnitude
        
        
          
        
        
          of DD sample
        
        
          as 0.214, whereas that of MT is 0.091.
        
        
          
        
        
          = 0 indicates isotropy.
        
        
          -20
        
        
          0
        
        
          20
        
        
          40
        
        
          0
        
        
          10
        
        
          20
        
        
          30
        
        
          40
        
        
          Excess PWP (kPa)
        
        
          Loading  cycles
        
        
          
            MT
          
        
        
          
            DD
          
        
        
          50