Mathematical descriptions for the behaviour of ice-rich frozen soils at temperatures close to 0 °C

With the use of creep and constant strain rate (CSR) tests, mathematical formulations were found that describe the thermomechanical behaviour of ice-rich frozen soils. A Glen-type relationship was chosen for the formulation of minimum creep strain rates at temperatures between –4 °C and –1 °C. The shear strength of the material could be described by a Mohr–Coulomb failure criterion. Furthermore, it was possible to compare the creep behaviour with the strength of similar soils under constant strain rates. The minimum creep strain rate increases proportionally as the temperature approaches the melting point of the ice, which can be attributed to the increasing amount of unfrozen water, which strongly influences the mechanical response. Even though only a few tests could be used for the determination of the angle of friction and the apparent cohesion, the trend showed that the volumetric ice content influences both parameters, but only the latter seems to be influenced by the temperature and the applied comp...

[1]  Malcolm Mellor,et al.  Mechanical properties of polycrystalline ice: An assessment of current knowledge and priorities for research , 1980 .

[2]  S. Steinemann Experimentelle Untersuchungen zur Plastizität von Eis , 1958 .

[3]  V. F. Petrenko,et al.  Physics of Ice , 1999 .

[4]  David M. Cole,et al.  Strain-Rate and Grain‒Size Effects in Ice , 1987, Journal of Glaciology.

[5]  Christopher W. Swan,et al.  Small-strain behavior of frozen sand in triaxial compression , 1995 .

[6]  Andreas Kääb,et al.  Permafrost creep and rock glacier dynamics , 2006 .

[7]  Jaroslav Feda,et al.  Creep of soils and related phenomena , 1992 .

[8]  James K. Mitchell,et al.  SOIL CREEP AS A RATE PROCESS , 1968 .

[9]  R. G. Campanella,et al.  Time-Dependent Behavior of Undisturbed Clay , 1977 .

[10]  B. Ladanyi,et al.  Effect of internal confinement on compression strength of frozen sand , 1990 .

[11]  David Tabor,et al.  The friction and creep of polycrystalline ice , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[12]  R. Perham,et al.  The mechanical behaviour of frozen earth materials under high pressure triaxial test conditions , 1972 .

[13]  A. Schofield,et al.  Critical State Soil Mechanics , 1968 .

[14]  N. R. Morgenstern,et al.  Physics, chemistry, and mechanics of frozen ground. A review : Conference. In Permafrost - North American contribution to the 2nd Internat. Conference. 11F, 182R. NAT. ACAD. SCI. WASHINGTON, 1973, P257–288 , 1974 .

[15]  S. Murayama,et al.  Rheological Properties of Clay , 1963 .

[16]  R. Hooke,et al.  Creep of ice containing dispersed fine sand , 1972 .

[17]  O. Andersland,et al.  Mechanical Properties of a Sand-Ice System , 1968 .

[18]  Orlando B. Andersland,et al.  Time-Dependent Strength Behavior of Frozen Soils , 1970 .

[19]  John F Nye,et al.  The flow law of ice from measurements in glacier tunnels, laboratory experiments and the Jungfraufirn borehole experiment , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[20]  J. C. Jaeger,et al.  Fundamentals of rock mechanics , 1969 .

[21]  J. W. Glen,et al.  The creep of polycrystalline ice , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[22]  Lukas U. Arenson,et al.  Triaxial constant stress and constant strain rate tests on ice-rich permafrost samples , 2005 .

[23]  N. K. Sinha Constant strain- and stress-rate compressive strength of columnar-grained ice , 1982 .

[24]  N. Morgenstern,et al.  Deformation of ice under low stresses , 1983 .

[25]  J. Glen The mechanics of ice , 1975 .

[26]  A. Palmer,et al.  Rock glaciers, fault gouge and asphalt: hard particles in a nonlinear creeping matrix , 2005 .

[27]  Malcolm Mellor,et al.  Mechanical Properties of Polycrystalline Ice , 1980 .

[28]  Lukas U. Arenson,et al.  Borehole deformation measurements and internal structure of some rock glaciers in Switzerland , 2002 .

[29]  K. F. Voitkovskii THE MECHANICAL PROPERTIES OF ICE , 1962 .

[30]  R. Mises Mechanik der festen Körper im plastisch- deformablen Zustand , 1913 .

[31]  Stephen J. Jones,et al.  The Confined Compressive Strength of Polycrystalline Ice , 1982, Journal of Glaciology.

[32]  M. Mellor,et al.  Effect of Temperature on the Creep of Ice , 1969 .

[33]  Charles C. Ladd,et al.  MECHANISMS OF STRENGTH FOR FROZEN SAND , 1983 .

[34]  Branko Ladanyi,et al.  An Engineering Theory of Creep of Frozen Soils , 1972 .

[35]  N. R. Morgenstern,et al.  Simple shear creep tests on frozen soils , 1981 .