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

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Abstract An experimental evaluation of cracking and post-cracking behavior in the steel fiber reinforced concrete (SFRC) beams using the displacement field obtained from digital image correlation (DIC) is presented. The… Click to show full abstract

Abstract An experimental evaluation of cracking and post-cracking behavior in the steel fiber reinforced concrete (SFRC) beams using the displacement field obtained from digital image correlation (DIC) is presented. The physical basis of the hinge-type behavior in flexure is established from an analysis of the displacement discontinuity across the crack. In SFRC beams, the load recovery following the localization of strain to a single crack is shown to be associated with opening of the hinge. An analytical framework for implementing a multi-linear stress-crack separation (σ-w) relationship within the cracked hinge model is presented. Multi-linear σ-w relations are obtained for SFRC with different fiber volume fractions (V f ) by an inversion procedure. The σ-w relationship for SFRC exhibits an initial softening to values lower than the tensile strength which is followed by a stress recovery with increasing crack separation. In SFRC, the stress attains a constant value with increasing crack separation, larger than 1 mm. For V f equal to 0.75%, application of cracked hinge model predicts a constant stress of magnitude less than the tensile strength with increasing crack separation in the part of the load response associated with multiple cracking.

Keywords: crack separation; fiber; stress; multi linear; crack

Journal Title: Theoretical and Applied Fracture Mechanics
Year Published: 2018

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