STRESS AND VELOCITY FIELDS IN SOIL MECHANICS

Abstract

Lines of discontinuity in the plastic stress field of a cohesive soil in a state of plane strain are discussed. The jump conditions on the stress and the restrictions on the velocity field in the neighborhood of the line are obtained. The theory is applied to the problems of uniform pressure on 1 face of a wedge (or earth dam) and to a loaded trapezoid. An analytic intergration of the plane strain equations is carried out, and expressions are derived for the coordinates and curvatures of the failure lines and the velocity components at any point of plastic stress field in terms of the boundary values.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1952
Accession Number
AD0007082

Entities

People

  • R. T. Shield

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Applied Mathematics
  • Base Lines
  • Boundaries
  • Cohesive Soils
  • Continuity
  • Curvature
  • Differential Equations
  • Discontinuities
  • Earth Dams
  • Equations
  • Friction
  • Geometry
  • Mechanics
  • Plastic Flow
  • Soil Mechanics
  • Soils
  • Stratified Fluids

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Materials Science (Mechanical Engineering).