Elasticity of Rock in Uniaxial Strain

Abstract

Deformation under conditions of uniaxial strain was found elsewhere to be very nearly recoverable for rocks like granite, diabase and certain limestones. This apparent elastic behavior is examined here in greater detail. Volumetric compression as a function of mean stress was closely predictable from our measurements of compressibility. However, Poisson's ratio in uniaxial strain was up to 25 percent higher than the value the authors obtained in a direct static measurement. Motion on cracks was assumed to have occurred during uniaxial strain, and an elastic analysis was carried out based on the model of a crack-filled solid developed previously by Walsh. The theory correctly predicted characteristics of volumetric compression and Poisson's ratio observed experimentally. The pressure calculated in a shock experiment for Westerly granite would be up to 30 percent higher if the appropriate Poisson's ratio for uniaxial strain is used instead of the commonly tabulated value found at high hydrostatic pressure.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0726747

Entities

People

  • J. B. Walsh
  • W. F. Brace

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Compression
  • Compressive Properties
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Hydrostatic Pressure
  • Materials
  • Measurement
  • Mechanical Properties
  • Mechanics
  • Modal Analysis
  • Modulus Of Elasticity
  • Observation
  • Planetary Sciences
  • Static Pressure
  • Strain Gages
  • Tectosilicates

Readers

  • Mechanical Engineering/Mechanics of Materials.