GEOMETRIC INTERPRETATION OF THE THREEDIMENSIONAL YIELD CRITERION OF SOILS.

Abstract

A geometric interpretation of the invariants of a threedimensional tensor is developed. With this interpretation, the yield criterion for three-dimensional plastic deformation is given geometric expression similar to the Coulomb criterion of yielding for plane plastic deformation. It is discovered that the procedure conventionally used in triaxial tests to determine the yield criterion is not theoretically valid. An alternative method based on the geometric interpretation developed herein is suggested. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1965
Accession Number
AD0622429

Entities

People

  • Shunsuke Takagi

Organizations

  • Cold Regions Research and Engineering Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Deformation (Mechanics)
  • Geometry
  • Mathematics
  • Mechanical Phenomena
  • Plastic Deformation
  • Three Dimensional

Readers

  • Structural Dynamics.
  • Theoretical Analysis.