Planar Crack Approach to Evaluate the Flexural Strength of Fiber-Reinforced Concrete Sections
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Planar Crack Approach to Evaluate the Flexural Strength of Fiber-Reinforced Concrete SectionsFecha
2022Cita bibliográfica
Carmona, J.R.; Cortés-Buitrago, R.; Rey-Rey, J.; Ruiz, G. Planar Crack Approach to Evaluate the Flexural Strength of Fiber-Reinforced Concrete Sections. Materials 2022, 15, 5821. https:// doi.org/10.3390/ma15175821
Resumen
[Abstract] : This article describes a model based on concepts of Fracture Mechanics to evaluate the
flexural strength of fiber-reinforced concrete (FRC) sections. The model covers the need by structural
engineers to have tools that allow, in a simple way, the designing of FRC sections and avoiding
complex calculations through finite elements. It consists of an analytical method that models FRC
post-cracking behavior with a cohesive linear softening law (σ − w). We use a compatibility equation
based on the planar crack hypothesis, i.e., the assumption that the crack surfaces remain plane
throughout the fracture process, which was recently proven true using digital image correlation.
Non-cracked concrete bulk follows a stress–strain law (σ − ε) combined with the Bernoulli–Navier
assumption. We define a brittleness number derived from non-dimensional analyses, which includes
the beam size and the softening characteristics. We show that this parameter is key to determining
the FRC flexural strength, characterizing fiber-reinforced concrete, and reproducing the size-effect of
sections in flexure. Moreover, we propose an expression to calculate the flexural strength of FRC as a
function of the cited brittleness number. The model also gives the ratio between the residual strength
in service conditions and the flexural strength. Model results show a good agreement with tests in
the scientific literature. Finally, we also analyze the brittle–ductile transition in FRC sections.
Palabras clave
Cohesive fracture
Fiber reinforced concrete
Size effect
Brittleness number
FRC flexural strenght
Fiber reinforced concrete
Size effect
Brittleness number
FRC flexural strenght
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Atribución 3.0 España