Eshelby’s Technique for Analyzing Inhomogeneities in Geomechanics

John W. Rudnicki*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations

Abstract

This chapter describes Eshelby’s technique for determining the stress and strain in regions in an infinite elastic body that undergo a change of size or shape. The technique is also extended to determine the stress and strain in regions of different elastic properties than the surroundings due to loading in the farfield. The chapter also discusses the relation of this technique to singular solutions in elasticity and different integral forms for the solutions. Example applications of the technique include determining the effective stress in a narrow fault zone, the stress and strain in a fluid reservoir and subsidence due to fluid mass injection or withdrawal. The approach of Eshelby is also used as a basis for a brief description of representations of deformation due to slip and seismic source theory.

Original languageEnglish (US)
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Pages43-72
Number of pages30
DOIs
StatePublished - Jan 1 2011

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume533
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706

Keywords

  • Fault Zone
  • Point Force
  • Pore Pressure
  • Stress Path
  • Transformation Strain

ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications

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