Multi-linear stress-crack separation relationship for steel fiber reinforced concrete: Analytical framework and experimental evaluation

Gali, Sahith

doi:10.1016/j.tafmec.2017.06.018

Cited by 26 publications

(10 citation statements)

References 21 publications

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“…The planar crack assumption is used as a compatibility equation in the non-cracked area. This hypothesis was experimentally proven by [ 29 ]. The results of their study show that the crack propagation in the FRC predominantly occurs in the pre-peak and the post-peak softening response immediately following the limit of proportionality (LOP) as per [ 36 ].…”

Section: Materials Hypothesismentioning

confidence: 77%

“…In this paper we use the linear function included in Model Code 2010 [ 3 , 7 ], but any other softening function included in codes or bibliography can be similarly adopted. The method uses a compatibility equation based on the planar crack hypothesis, e.g., on the assumption that the crack surfaces remain plane throughout the fracture process, which has been recently proven true by means of digital image correlation [ 29 ]. The compressive behavior of FRC is modeled through a linear elastic law ( σ − ε ) in conjunction with Navier’s hypothesis, applied only to the ligament.…”

Section: Introductionmentioning

confidence: 99%

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Planar Crack Approach to Evaluate the Flexural Strength of Fiber-Reinforced Concrete Sections

et al. 2022

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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.

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Section: Materials Hypothesismentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Planar Crack Approach to Evaluate the Flexural Strength of Fiber-Reinforced Concrete Sections

et al. 2022

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“…El método también utiliza una ecuación de compatibilidad basada en la hipótesis de fisura plana, es decir, la suposición de que los dos labios de la fisura permanecen planos durante todo el proceso de fractura. Este aspecto se ha comprobado recientemente por medio del estudio del proceso de fisuración con metodologías de correlación de imagen digital [6]. El comportamiento a compresión de FRC se modela a través de una ley elástica lineal (σ-ε), junto con la hipótesis de Navier, aplicada solo al ligamento sin fisuras.…”

Section: Introductionunclassified

Ejemplos de modelado del comportamiento a flexión de secciones de hormigón con fibras mediante la hipótesis de fisura plana

Carmona¹,

Rey

López

2022

hya

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Este trabajo presenta un modelo para evaluar el comportamiento a flexión de secciones de hormigón reforzado con fibras (FRC). El comportamiento a tracción del hormigón con fibras se representa mediante un modelo cohesivo a través de la ley de ablandamiento lineal incluida en el Código Modelo-2010. Como ecuación de compatibilidad se hace uso de la hipótesis de fisura plana, es decir, se asume que las caras de la fisura permanecen planas durante todo el proceso de fractura, hipótesis que ha sido contrastada recientemente mediante correlación digital de imágenes [1]. El comportamiento a compresión del hormigón se representa a través de un modelo elástico, usando la hipótesis de Navier. La apertura de fisura se evalúa a partir del momento aplicado en la sección y de la profundidad de la fisura a través de la expresión propuesta por Tada et al. [2]. El modelo reproduce el efecto de escala existente en la resistencia a flexotracción (módulo de ruptura) en hormigón y hormigón con fibras. Asimismo se define un número de fragilidad que permite caracterizar el comportamiento de las secciones tanto de hormigón en masa como FRC. La metodología presentada propone el análisis de secciones de FRC a través de diagramas que representen el momento aplicado frente a la apertura de fisura, en vez de la curvatura. Esta metodología, extensible a hormigón armado, se considera una aproximación más física al análisis de secciones fisuradas y plantea a la hipótesis de fisura plana como ecuación de compatibilidad alternativa a la hipótesis de Navier, que es la normalmente incluida en las normativas. Referencias: [1] S. Gali, K.V.L. Subramaniam. 2018. Multi-linear stress-crack separation relationship for steel fiber reinforced concrete: Analytical framework and experimental evaluation, Theoretical and Applied Fracture Mechanics, 93, 33-43 [2] Tada, H. et al. 1973. The stress analysis of cracks handbook. Del Research Corporation

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“…The technique of adding fibres (e.g. steel fibres) to concrete is also considered to be a more effective method of improving the properties of concrete, such as shear, flexural and tensile properties 31 – 34 . To date, although there has been researched into low-mix polymer concrete, the concrete materials available still cannot meet the requirements for crack resistance and toughness of road materials.…”

Section: Introductionmentioning

confidence: 99%

Static test research on steel bridge deck pavement structures paved by high-content hybrid fibre polymer concrete

Zhao

Zhu

et al. 2022

Sci Rep

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Steel bridge deck pavement has always been a key and difficult point in the construction of long-span bridges. In practical engineering, common paving material is asphalt, and serious damage is caused on the pavement layer in the early stage. In this study, a high-performance high-content hybrid fibre polymer concrete was used as the paving material. A test was conducted on the small beam of the composite structure formed by the pavement layer and steel plate, and a positive/negative bending moment test was conducted to analyse the stiffness and bearing capacity of the composite structure. As revealed in the research results, the flexural and tensile stiffness of the structure and the bearing capacity of the composite structure showed superior performance, increased significantly with the pavement thickness, but increased slowly after the pavement thickness exceeded 80 mm and the increase in thickness contributed little to the bearing capacity. Under the simulated action of a positive/negative bending moment, the pavement layer still exhibited certain ductile failure features when the structure was bearing an ultimate load. This proves that high-content hybrid fibre polymer concrete exhibits suitable mechanical properties for steel bridge deck pavement.

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Multi-linear stress-crack separation relationship for steel fiber reinforced concrete: Analytical framework and experimental evaluation

Cited by 26 publications

References 21 publications

Planar Crack Approach to Evaluate the Flexural Strength of Fiber-Reinforced Concrete Sections

Planar Crack Approach to Evaluate the Flexural Strength of Fiber-Reinforced Concrete Sections

Ejemplos de modelado del comportamiento a flexión de secciones de hormigón con fibras mediante la hipótesis de fisura plana

Static test research on steel bridge deck pavement structures paved by high-content hybrid fibre polymer concrete

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