The determination of the fundamental stress versus crack opening (σ-w) response of concrete under uniaxial tension is performed in this study through inverse analysis using data from notched beam tests. The procedure used for optimizing the parameters of the σ-w relation using the load versus crack mouth opening displacement response of the notched beam is described. Satisfactory comparisons have been obtained between the σ-w curves obtained through the inverse analysis and those directly measured in uniaxial tension tests. The use of weighting functions in the inverse analysis may be necessary when large crack widths are to be considered. Journal of Engineering Mechanics © 2006 ASCE.

Ravindra Gettu

Department Of Civil Engineering

Algorithms

Crack initiation

Cracks

Inverse problems

Mathematical models

Optimization

Tensile stress

Tensile testing

Crack Mouth Opening Displacement

Inverse analysis

TENSILE STRESS-CRACK OPENING CURVE

Concretes

concrete

Cracking

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IIT Madras

Determining the Tensile Stress-Crack Opening Curve of Concrete by Inverse Analysis

Journal of Engineering Mechanics

The effect of crack rate on the tensile stress–crack width relation of fibre reinforced concrete is studied experimentally, using the three-point bending test, where the post-peak flexural response of the material is determined over a range of loading rates covering 5 orders of magnitude. The tetralinear stress–crack opening (σ–w) relations are subsequently obtained from inverse analyses. Concretes with hooked-ended steel fibres at different dosages and with polypropylene fibres have been studied. The results show that the tensile strength is reduced and the initial drop in cohesive stresses is less steep at slower loading rates, with the changes being more significant in concretes with lower toughness. Numerical analysis shows that the fracture process zone at crack initiation extends further as the loading becomes slower. The variation in the σ–w relation with crack rate has been modelled empirically based on the rate-dependence of the concrete matrix and the tensile strength of the FRC. The general variation of flexural toughness with the loading rate has also been identified, reflecting the moderating influence due to steel fibres, especially at higher dosages. © 2019, RILEM.

Materials and Structures/Materiaux et Constructions

Rate-dependence of the tensile behaviour of fibre reinforced concrete in the quasi-static regime

Determining the tensile stress-crack opening curve of concrete by inverse analysis

Journal	Journal of Engineering Mechanics
ISSN	07339399
Open Access	No