Constitutive Equations of Rock with Shear Dilatancy

Abstract

Coupling between dilatation and shear stress referred to as 'dilatancy,' has been shown to be a significant feature of rocks. Dilatancy has been identified by Lord Kelvin (1875) and by Reiner (1947) as a second-order effect in the isotropic continuum that arises from the application of the 'principle of material indifference'. Relations required for the interpretation of tests results in the light of this theory are derived. It is shown that dilatancy in rocks is not the result of cracking at compressive stresses below the limit of shear failure, but its cause. Shear-induced density-gradients of physically significant magnitude are believed to provide the key to the understanding of important aspects of the behavior of rocks and rock-like solids.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1975
Accession Number
ADA011402

Entities

People

  • Alfred M. Freudenthal

Organizations

  • George Washington University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bulk Modulus
  • Constitutive Equations
  • Continuum Mechanics
  • Equations
  • Failure Mode And Effect Analysis
  • Fracture (Mechanics)
  • Hydrostatic Pressure
  • Materials
  • Materials Testing
  • Mechanical Working
  • Mechanics
  • Rock Mechanics
  • Shear Modulus
  • Shear Stresses
  • Stress Strain Relations
  • Stresses
  • Test And Evaluation

Readers

  • Mechanical Engineering/Mechanics of Materials.
  • Theoretical Analysis.