Mechanics of Near Tip Microcracking in Brittle Material,

Abstract

A continuum mechanics description, of the phenomenon of stress induced microcracking has been used to study the near tip stress and strain fields and the size and shape of a small scale damaged zone for a stationary mode I crack in an elastic body. The microcrack density was found to characterize three regions of interest. In the outer region the microcrack density is zero and the stress and strain fields are purely those for linear elastic deformation. This elastic field constrains the microcracking deformation which in combination with material weakening due to microcracking causes stress relaxation in a region of intermediate microcraking. Very close to the crack tip the microcrack density is saturated and the stress field becomes again singular but with a lower stress intensity than would prevail in the absence of microcracking. In the case where very rapid microcracking occurs as the strain is increased, the intermediate microcracking zone is still present providing continuity of the strain field and a smooth transition of the stress field from the purely elastic region to the region with saturated microcrack density.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA154684

Entities

People

  • P. Charalambides
  • R. M. Mcmeeking

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Applied Mechanics
  • Boundaries
  • Boundary Value Problems
  • Constitutive Equations
  • Continuum Mechanics
  • Crack Tips
  • Cracks
  • Elastic Properties
  • Equations
  • Finite Element Analysis
  • Fracture (Mechanics)
  • J Integrals
  • Materials
  • Mechanics
  • Residual Stress
  • Stress Strain Relations
  • Stresses

Fields of Study

  • Engineering

Readers

  • Materials Science (Mechanical Engineering).
  • Plasma Physics / Magnetohydrodynamics