Comprehensive concrete fracture tests: Size effects of Types 1 & 2, crack length effect and postpeak

Christian G. Hoover, Zdeněk Z. Bažant

Research output: Contribution to journalArticlepeer-review

121 Scopus citations


The comprehensive fracture tests of notched and unnotched beams presented in the preceding paper are evaluated to clarify the size effects and fracture energy dissipation. The test results for beams with notches of various lengths agree closely with Bažant's Type 2 size effect law and yield the value of the initial fracture energy Gf. Since nearly complete post-peak softening load-displacement curves have been obtained, the total energy dissipation by fracture can be accurately evaluated and used to determine the RILEM total fracture energy GF. For the present concrete, GF/Gf≈2. The transition between the Type 1 and 2 size effects are determined and is found to be very different from that assumed in Hu and Duan's boundary effect model. Determination of a universal size effect law fitting the beam strengths for all the sizes and all notch depths is relegated to a subsequent paper.

Original languageEnglish (US)
Pages (from-to)281-289
Number of pages9
JournalEngineering Fracture Mechanics
StatePublished - Sep 2013
Externally publishedYes


  • Cohesive crack model
  • Flexural strength
  • Fracture testing
  • Scaling of strength
  • Size effect law

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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