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February 5, 2026Fatigue & Fracture of Engineering Materials & Structures0 citations

Determining Crack Extension Resistance of Concrete for a Four‐Point Bending Beam

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YYYangyang YinXCXingyu CaoSHShaowei Hu

Key Points

  • The research aims to analyze the fracture behavior of concrete in four-point bending tests and determine the factors influencing crack extension resistance.
  • Conducted four-point bending tests on concrete specimens with varying initial crack-depth ratios
  • Monitored crack growth using digital image correlation technique
  • Employed strain gauges to capture the initial cracking load
  • Analyzed fracture process zone, K R -curves, and crack tip opening displacement during the fracture process
  • Initial load and maximum load decreased by 57.2% and 63.9% as crack-depth ratio increased from 0.2 to 0.6
  • Maximum fracture process zone length decreased by 44.6%
  • K R -curves showed slight fluctuations and increased with effective crack extension
  • Horizontal opening displacement decreased as section moved upward
  • Increasing span-depth ratio resulted in decreased extended crack length and CTOD, with measured values consistent with calculated ones.

Abstract

ABSTRACT The fracture behavior of concrete was studied by using four‐point bending (4PB) tests. Analytical expressions for the crack extension resistance ( K R ) of 4PB beam were formulated. Experiments were conducted on 4PB specimens with initial crack–depth ratios of 0.2, 0.3, 0.4, 0.5, and 0.6. The crack growth during loading was monitored using the digital image correlation (DIC) technique. Strain gauges were employed to capture the initial cracking load. The evaluations of fracture process zone (FPZ), K R ‐curves, and crack tip opening displacement ( CTOD ) during the whole fracture process were analyzed. The results indicated that with the crack–depth ratio increasing from 0.2 to 0.6, the initial load and maximum load decreased by 57.2% and 63.9%, respectively, while the maximum FPZ length decreased by 44.6%. The K R ‐curves started from the initial crack toughness, which showed a slight fluctuation for each group, and increased with the effective crack extension. Coupling with the DIC results, the horizontal opening displacement decreased as the section moved upward, and increasing the span–depth ratio resulted in a decrease of the extended crack length and CTOD . The measured CTOD values and crack extension length showed good consistency with the calculated ones.

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Cite This Study

Yin et al. (2026) studied this question.

synapsesocial.com/papers/69843371f1d9ada3c1fb08eehttps://doi.org/10.1111/ffe.70176
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