Stress and Strains around a Cylindrical Tunnel in an Elasto-plastic Material with Dilatancy

Abstract

In the report an elasto-plastic solution is given for determining the stresses, strains, and displacements around a circular tunnel in rock. The relationship between the principal stresses in the plastic zone are determined by the Coulomb-Navier failure criteria and the concept of 'normality' is used to relate the plastic strains to the 'yield' surface. The 'normality' concept results in a dilatancy of the material at yielding when the angle of shearing resistance of the material is greater than zero. Thus the displacements calculated by the method given in this report include the effect of dilantancy in the yielded zone around the tunnel. The results of the study are presented in graphical form which enable a wide variety of problems to be solved by hand without the use of a digital computer.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0748030

Entities

People

  • A. K. Aiyer
  • Alfred J. Hendron Jr.

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Civil Engineering
  • Compressive Strength
  • Computers
  • Contracts
  • Differential Equations
  • Digital Computers
  • Displacement
  • Elastic Properties
  • Engineering
  • Engineers
  • Equations
  • Free Field
  • Materials
  • Mechanics
  • Modulus Of Elasticity
  • Shear Strength
  • Stress Strain Relations

Fields of Study

  • Engineering

Readers

  • Fluid Dynamics.
  • Geotechnical Engineering.
  • Regression Analysis.