 
          1058
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          normal inter-particle contact force provides a stabilizing effect
        
        
          on an unsaturated soil by inhibiting slippage at particle contacts
        
        
          and enhancing the shear resistance of the unsaturated soil
        
        
          (Wheeler et al., 2003). Secondly, an increase in s induces the
        
        
          shrinkage of soil specimen (Ng and Pang, 2000). Due to the
        
        
          stronger inter-normal force between particles and higher
        
        
          density,
        
        
          
            M
          
        
        
          
            R
          
        
        
          measured during cyclic loading-unloading is larger
        
        
          at higher suctions. Further inspection of this figure reveals that
        
        
          the relationship between
        
        
          
            M
          
        
        
          
            R
          
        
        
          and s is nonlinear along a wetting
        
        
          path, along which soil suction is smaller than initial suction.
        
        
          Given the same increase in s, the percentage of increase in
        
        
          
            M
          
        
        
          
            R
          
        
        
          is
        
        
          much larger in the lower suction range. At a cyclic stress of 30
        
        
          kPa,
        
        
          
            M
          
        
        
          
            R
          
        
        
          doubles when s increases from 0 to 30 kPa, while only
        
        
          increases by 10% when s increases from 30 to 60 kPa.  Along a
        
        
          drying path, the increase rate of M
        
        
          R
        
        
          with increasing s is almost
        
        
          constant. The different results observed in different suction
        
        
          ranges are likely related with AEV of a soil specimen. The
        
        
          different results observed in different suction ranges are
        
        
          probably because the bulk water effects dominate soil behaviour
        
        
          when matric suction is lower than AEV of soil specimen (here
        
        
          about 60 kPa) and meniscus water effects dominate soil
        
        
          behaviour when matric suction exceeds AEV (Ng and Yung,
        
        
          2008).
        
        
          Comparing average steady state values of
        
        
          
            M
          
        
        
          
            R
          
        
        
          measured at
        
        
          the last 5 cycles at zero suction but at two different temperatures
        
        
          shown in Figure 5, average
        
        
          
            M
          
        
        
          
            R
          
        
        
          measured at 20
        
        
          ℃
        
        
          (W0T20) is
        
        
          almost identical to that measured at 40
        
        
          ℃
        
        
          (obtained W0T40). At
        
        
          the four levels of cyclic stress, the maximum difference in
        
        
          
            M
          
        
        
          
            R
          
        
        
          at
        
        
          20
        
        
          ℃ and at
        
        
          40
        
        
          ℃ is about 7%.
        
        
          In the temperature ranges
        
        
          studied, the thermal effect may be considered to be negligible at
        
        
          zero suction. This negligi le thermal effect at zero suction on
        
        
          
            M
          
        
        
          
            R
          
        
        
          seems to be in agreement with previous experimental
        
        
          evidence. Romero et al. (2003) and Uchaipichat and Khalili
        
        
          (2009) observed from their oedometer tests that soil stiffness
        
        
          during unloading seems to be independent of thermal
        
        
          conditions. To fully understand the thermo-hydro-mechanical
        
        
          effects on
        
        
          
            M
          
        
        
          
            R
          
        
        
          , further experimental and theoretical studies at
        
        
          different suction values under different temperature conditions
        
        
          are needed.
        
        
          6 SUMMARY AND CONCLUSIONS
        
        
          Three series of cyclic triaxial tests have been carried out to
        
        
          investigate
        
        
          
            M
          
        
        
          
            R
          
        
        
          of an unsaturated silt at different temperatures in
        
        
          a newly developed suction and temperature controlled cyclic
        
        
          triaxial apparatus.
        
        
          By studying the relationship between normalised M
        
        
          N
        
        
          r
        
        
          /M
        
        
          1
        
        
          r
        
        
          and
        
        
          the  number of load applications (N), it is evident that measured
        
        
          
            M
          
        
        
          
            R
          
        
        
          is sensitive to N values at zero suction but it is almost
        
        
          insensitive to N at different suctions. At zero suction,
        
        
          
            M
          
        
        
          
            R
          
        
        
          measured at cyclic stress of 70 kPa increases with N by about
        
        
          20% during 100 cycles of loading-unloading. When suction is
        
        
          equal and larger than 30 kPa,
        
        
          
            M
          
        
        
          
            R
          
        
        
          measured at the same cyclic
        
        
          stress is almost independent of N. For unsaturated CDT
        
        
          specimens tested, a steady resilient response was achieved
        
        
          within 100 cycles of loading-unloading.
        
        
          For a given stress level the increase of M
        
        
          N
        
        
          r
        
        
          /M
        
        
          1
        
        
          r
        
        
          with
        
        
          increasing N is more significant at higher temperature at zero
        
        
          suction. This observation may be explained by the fact that
        
        
          yielding stress of soil specimen is smaller at higher temperature.
        
        
          Measured
        
        
          
            M
          
        
        
          
            R
          
        
        
          is found to be dependent on cyclic stress level
        
        
          and suction value. It decreases with cyclic stress because soil
        
        
          stress-strain behaviour under cyclic loads is highly non-linear.
        
        
          On the other hand,
        
        
          
            M
          
        
        
          
            R
          
        
        
          increases significantly with suction.
        
        
          When suction increases from 0 to 250 kPa,
        
        
          
            M
          
        
        
          
            R
          
        
        
          increases by up
        
        
          to one order of magnitude. This is attributed to suction induced
        
        
          additional inter-particle normal force which stiffens soil
        
        
          specimen.
        
        
          It is clear that more theoretical and experimental work are
        
        
          needed to understand unsaturated cyclic soil behaviour and
        
        
          engineering properties under different suction and temperature
        
        
          conditions.
        
        
          7 ACKNOWLEDGEMENTS
        
        
          The research grant 2012CB719805 of 2012CB719800 provided
        
        
          by the Ministry of Science and Technology of the People's
        
        
          Republic of China through the National Basic Research
        
        
          Program (973 project) is gratefully acknowledged. In addition,
        
        
          the authors would like to thank the Research Grants Council of
        
        
          the Hong Kong Special Administrative Region (HKSAR) for
        
        
          financial support from research grant HKUST6/CRF/12R.
        
        
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