Physical mechanisms controlling the pre-failure stress-strain behavior of frozen sand

Abstract : The physical mechanisms controlling the pre-failure behavior of frozen sands are investigated in triaxial compression. The pre-failure behavior (sigma alpha < 1%) is represented by the Young's modulus and upper yield stress. An experimental program conducted on a number of ice-saturated particulate systems investigated the dependency of these parameters on a number of testing variables. Results show that the Young's modulus varies significantly with particle modulus and increases slightly with particle volume fraction, but is independent of strain-rate and temperature. The development of stiffness also relies heavily on the coupling between phases for the transfer of shear stress. This coupling can take the form of an adhesional bond, or a frictional bond derived from particle angularity and surface roughness. Application of reinforcement theories for particulate composites has led to a new approach for predicting the Young's modulus of frozen sand. The upper yield stress behavior is controlled primarily by strain-rate, temperature, particle grain size, and for fully- bonded materials, is essentially independent of volume fraction and confinement. However, in the absence of an adhesional bond, surface roughness and confinement become important. The behavior of the upper yield stress can be explained by examining the influence of particles on cracks propagating through the ice matrix.

[1]  R. Whitman,et al.  Soil mechanics, SI version , 1969 .

[2]  Zvi Hashin,et al.  The Elastic Moduli of Heterogeneous Materials , 1962 .

[3]  M. Mooney,et al.  The viscosity of a concentrated suspension of spherical particles , 1951 .

[4]  O. Ishai,et al.  Elastic properties of filled and porous epoxy composites , 1967 .

[5]  Robert J. Young,et al.  Crack propagation in a glass particle-filled epoxy resin , 1984 .

[6]  F. D. Lydon,et al.  Some observations on elastic properties of plain concrete , 1986 .

[7]  T. Baker,et al.  Acoustic and mechanical properties of frozen sand , 1985 .

[8]  David M. Cole,et al.  Reversed direct-stress testing of ice: Initial experimental results and analysis , 1990 .

[9]  R. Christensen,et al.  Solutions for effective shear properties in three phase sphere and cylinder models , 1979 .

[10]  J. G. Brodnyan The Concentration Dependence of the Newtonian Viscosity of Prolate Ellipsoids , 1959 .

[11]  W. Voigt,et al.  Lehrbuch der Kristallphysik , 1966 .

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

[13]  Christopher W. Swan,et al.  Physical mechanisms controlling the strength and deformation behavior of unfrozen and frozen Manchester fine sand , 1994 .

[14]  K. S. Ravichandran,et al.  Elastic Properties of Two‐Phase Composites , 1994 .

[15]  L. W. Gold Engineering Properties of Fresh-Water Ice , 1977 .

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

[17]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[18]  Upendra J. Counto Discussion: The effect of the elastic modulus of the aggregate on the elastic modulus, creep and creep recovery of concrete* , 1964 .

[19]  Ian Jordaan,et al.  Triaxial tests on crushed ice , 1996 .

[20]  V. F. Petrenko,et al.  Physical Mechanisms Responsible for Ice Adhesion , 1997 .

[21]  N. K. Sinha,et al.  Elasticity of natural types of polycrystalline ice , 1989 .

[22]  T. J. Hirsch,et al.  Modulus of Elasticity iof Concrete Affected by Elastic Moduli of Cement Paste Matrix and Aggregate , 1962 .

[23]  S. Ahmed,et al.  A review of particulate reinforcement theories for polymer composites , 1990 .

[24]  H. Kausch,et al.  The fracture of particulate-filled epoxide resins , 1983 .

[25]  J. Müller-Rochholz Determination of the elastic properties of lightweight aggregate by ultrasonic pulse velocity measurement , 1979 .

[26]  E. H. Kerner The Elastic and Thermo-elastic Properties of Composite Media , 1956 .

[27]  Edward Miller,et al.  Introduction to Plastics and Composites: Mechanical Properties and Engineering Applications , 1995 .

[28]  L. Broutman,et al.  Mechanical properties of particulate composites , 1972 .

[29]  D. Deere,et al.  Engineering classification and index properties for intact rock , 1966 .

[30]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[31]  David M. Cole,et al.  Preparation of polycrystalline ice specimens for laboratory experiments , 1979 .

[32]  M. Wolcott Cellular solids: Structure and properties , 1990 .

[33]  Z. Fan,et al.  Prediction of Young's modulus of particulate two phase composites , 1992 .

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

[35]  F. Jones,et al.  Effect of particulate agglomeration and the residual stress state on the modulus of filled resin. Part II: Moduli of untreated sand and glass bead filled composites , 1990 .

[36]  B. Paul PREDICTION OF ELASTIC CONSTANTS OF MULTI-PHASE MATERIALS , 1959 .

[37]  L. Nicolais,et al.  The strength of polymeric composites containing spherical fillers , 1976 .