Problems with hu-duan boundary effect model and its comparison to size-shape effect law for quasi-brittle fracture

Qiang Yu, Jia Liang Le, Christian G. Hoover, Zdeněk P. Bažant

Research output: Contribution to journalArticle

43 Scopus citations

Abstract

Recent disagreements on the mathematical modeling of fracture and size effect in concrete and other quasi-brittle materials are obstacles to improvements in design practice, and especially in design codes for concrete structures. In an attempt to overcome this impediment to progress, this paper compares the Hu-Duan boundary effect model (BEM) expounded since 2000 to the size-shape effect law (SEL) proposed at Northwestern University in 1984 and extended to the geometry (or shape) effects in 1990. It is found that within a rather limited part of the range of sizes and shapes, the fracture energy values identified by BEM and SEL from the test data on maximum loads are nearly the same. But in other parts of the range the BEM is either inferior or inapplicable. The material tensile strength values identified by BEM have a much larger error than those obtained from the SEL after calibration by the cohesive crack model. From the theoretical viewpoint, several hypotheses of BEM are shown to be unrealistic.

Original languageEnglish (US)
Article number013001QEM
Pages (from-to)40-50
Number of pages11
JournalJournal of Engineering Mechanics
Volume136
Issue number1
DOIs
StatePublished - Jan 1 2010
Externally publishedYes

Keywords

  • Asymptotics of fracture
  • Cohesive cracks
  • Concrete
  • Evaluation of experimental data
  • Failure of structures
  • Fracture energy
  • Fracture scaling

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

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