Multiple void-crack interaction

K. X. Hu*, A. Chandra, Y. Huang

*Corresponding author for this work

Research output: Contribution to journalArticle

60 Citations (Scopus)

Abstract

This paper presents a method for fracture analysis of a general two-dimensional system containing multiple holes, or voids, and cracks. The superposition technique is used to break the problem into a number of single-hole and single-crack problems. Each hole problem is modeled using the method of pseudo-tractions, and each crack problem is modeled by a distribution of dislocations. An integral equation approach is developed, based on two types of fundamental solutions, one due to point loads in a solid with a hole and the other due to point dislocations in an infinite elastic body. The resulting integral equations present Cauchy-type singularities only on the crack part of the multiple hole-crack problem. The results in terms of stress intensity factors (SIFs) are presented for a variety of hole-and-crack arrangements, relative sizes of cracks and holes, spacings and crack orientations. The amplification and retardation effects on SIFs are investigated. It is found that the hole-crack arrangements have significant effects on the nature of the amplification or retardation. In the fractured porous elastic medium (modeled as a crack surrounded by holes), amplification or retardation can occur, depending on the relative size of the holes and cracks and the spacing between them. Very strong retardation exists as the spacing becomes small. Some optimal retardations (void toughening) are achieved by adjusting the geometry parameters. An array of periodical crack-hole structure is examined as a numerical example.

Original languageEnglish (US)
Pages (from-to)1473-1489
Number of pages17
JournalInternational Journal of Solids and Structures
Volume30
Issue number11
DOIs
StatePublished - 1993

Fingerprint

Voids
voids
Crack
cracks
Cracks
Interaction
interactions
Amplification
Spacing
stress intensity factors
spacing
Stress Intensity Factor
Dislocation
Stress intensity factors
Integral equations
integral equations
Arrangement
Integral Equations
elastic bodies
elastic media

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Hu, K. X. ; Chandra, A. ; Huang, Y. / Multiple void-crack interaction. In: International Journal of Solids and Structures. 1993 ; Vol. 30, No. 11. pp. 1473-1489.
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Multiple void-crack interaction. / Hu, K. X.; Chandra, A.; Huang, Y.

In: International Journal of Solids and Structures, Vol. 30, No. 11, 1993, p. 1473-1489.

Research output: Contribution to journalArticle

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