Fundamental solutions for microcracking induced by residual stress

David K M Shum, Yonggang Y. Huang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The problem studied is a spherical particle under residual compressive stress which subsequently nucleates an annular microcrack at its equator in the tensile stress field of the surrounding infinite matrix. This analysis provides fundamental solutions needed for continuum modelling of constitutive behavior of materials that undergo microcracking. The primary results of interest are the additional strains that show up at the macroscopic level via microcracking due to either release of residual stress or remote loading of the microcracked matrix. In addition, the stress intensity factor at the outer microcrack tip and the microcrack volume opening under these two loading conditions are evaluated. In presenting numerical results both particle and matrix are assumed to possess elastic isotropy, while the particle to matrix Young's modulus ratio assumes a range of values.

Original languageEnglish (US)
Pages (from-to)107-117
Number of pages11
JournalEngineering Fracture Mechanics
Issue number1
StatePublished - 1990

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Fundamental solutions for microcracking induced by residual stress'. Together they form a unique fingerprint.

Cite this