DENSIFICATION AND HYSTERESIS OF SAND UNDER CYCLIC SHEAR

An extensive set of test data on the densification and stress-strain behavior of a dry sand at various relative densities and confining pressures and subjected to cyclic simple shear strains of different amplitudes is presented and used to verify a previously developed endochronic constitutive law and to determine its material parameters, including their dependence on relative density. In this law the accumulation of inelastic strain due to the irreversible rearrangement of grain configurations associated with deviatoric strains is characterized by a non-decreasing material variable, termed the rearrangement measure, which, in turn, forms the basis of an intrinsic time scale and related variables termed the densification measure and the distortion measure. The shear modulus is identified to be a step-by-step numerical integration of shear stresses is performed for a prescribed cyclic strain history. In constrast with current empirical methods, the material behavior is described herein by a constitutive law that satisfies all requirements of continuum mechanics; hence, this law should, in principle, be generally applicable, including the cases of non-sinusoidal loadings with varying amplitudes, general multiaxial stress states, and nonproportional stress component histories. In addition, the law automatically exhibits hysteretic damping and is fully continuous, i.e., it contains no inequalities, such as those used in plasticity to distinguish unloading.

  • Corporate Authors:

    Northwestern University, Evanston

    Department of Civil and Environmental Engineering, 2145 Sheridan Road
    Evanston, IL  USA  60208
  • Authors:
    • Bazant, Z P
    • Krizek, R J
  • Publication Date: 1976-8

Media Info

  • Features: Figures; References;
  • Pagination: 28 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00141541
  • Record Type: Publication
  • Report/Paper Numbers: S-76-8 Final Rpt.
  • Contract Numbers: DACW39-75-M-3759
  • Files: TRIS
  • Created Date: Nov 17 1976 12:00AM