In-Plane Deformation of Non-Coaxial Plastic Soil,

Abstract

The theory of non-coaxial in-plane plastic deformation of soils that obey the Coulomb yield criterion is presented. The constitutive equations are derived by use of the geometry of the Mohr circle and the theory of characteristic lines. It is found that, for solving a boundary value problem, the non-coaxial angle must be given such values that enable us to accommodate the presupposed type of flow in the given domain satisfying the given boundary conditions. The non-coaxial angle is contained in the constitutive equations as a parameter. Therefore, the plastic material obeying the Coulomb yield criterion is a singular material whose constitutive equations are not constant with material but are variable with flow conditions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA054217

Entities

People

  • Shunsuke Takagi

Organizations

  • Cold Regions Research and Engineering Laboratory

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Cold Regions
  • Constitutive Equations
  • Continuum Mechanics
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Geometry
  • Granular Materials
  • Materials
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Physics Laboratories
  • Soil Mechanics
  • Tensor Analysis

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.