An r-curve approach for fracture of quasi-brittle materials

Ouyang Chengsheng, Barzin Mobasher, Shah Surendra P.

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

An R-curve approach for fracture of quasi-brittle materials is proposed in this paper. An R-curve is defined as an envelope of fracture energy release rate of specimens with different sizes but the same initial notch length. By assuming that an effective traction-free critical crack is the function of an initial crack length contained in a material, an expression of the R-curve with two parameters can be derived by solving a differential equation. The parameters of the R-curve can be uniquely determined according to KIC S and CTODc for positive geometry specimens, and according to KIC S and dK1/da = 0 for negative geometry specimens. Load-CMOD and loaddisplacement response can be predicted based on the proposed R-curve by requiring that the crack driving force and crack growth resistance are equal at every equilibrium crack length. The predicted curves show a good agreement with the wide range of experimental results. Pre-critical stable crack propagation of quasi-brittle materials can be well described by the present approach.

Original languageEnglish (US)
Pages (from-to)901-913
Number of pages13
JournalEngineering Fracture Mechanics
Volume37
Issue number4
DOIs
StatePublished - 1990
Externally publishedYes

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Brittleness
Cracks
Crack propagation
Fracture energy
Geometry
Energy release rate
Differential equations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

An r-curve approach for fracture of quasi-brittle materials. / Chengsheng, Ouyang; Mobasher, Barzin; Surendra P., Shah.

In: Engineering Fracture Mechanics, Vol. 37, No. 4, 1990, p. 901-913.

Research output: Contribution to journalArticle

Chengsheng, Ouyang ; Mobasher, Barzin ; Surendra P., Shah. / An r-curve approach for fracture of quasi-brittle materials. In: Engineering Fracture Mechanics. 1990 ; Vol. 37, No. 4. pp. 901-913.
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