Abstract

The size effect on plain concrete specimens is well known and can be correctly captured when performing numerical simulations by using a well characterised softening function. Nevertheless, in the case of polyolefin-fibre-reinforced concrete (PFRC), this is not directly applicable, since using only diagram cannot capture the material behaviour on elements with different sizes due to dependence of the orientation factor of the fibres with the size of the specimen. In previous works, the use of a trilinear softening diagram proved to be very convenient for reproducing fracture of polyolefin-fibre-reinforced concrete elements, but only if it is previously adapted for each specimen size. In this work, a predictive methodology is used to reproduce fracture of polyolefin-fibre-reinforced concrete specimens of different sizes under three-point bending. Fracture is reproduced by means of a well-known embedded cohesive model, with a trilinear softening function that is defined specifically for each specimen size. The fundamental points of these softening functions are defined a priori by using empirical expressions proposed in past works, based on an extensive experimental background. Therefore, the numerical results are obtained in a predictive manner and then compared with a previous experimental campaign in which PFRC notched specimens of different sizes were tested with a three-point bending test setup, showing that this approach properly captures the size effect, although some values of the fundamental points in the trilinear diagram could be defined more accurately.

Highlights

  • It is worth noting that in the case of the experimental results, the maximum remanent load occurs at a larger load displacement if compared with the medium and large sizes, while in the case of the numerical results, this maximum load after the first peak occurs approximately at the same load displacement and, in all cases, following a very linear trend. These trends are depicted by dashed lines on the load–load displacement diagrams of Figure 8. These results show that expressions (7) and (8), defined in the past by analysing the fracture behaviour of different polyolefin-fibre-reinforced concrete (PFRC) mixes, well describe the general behaviour of this material and take into account the main parameters: the volume of fibres in the mix (Vf ), the orientation of fibres with respect to the fracture surface (θ), and the quality of bonding between the fibres and concrete, expressed by the fraction of fibres that are pulled out at the fracture surface (%Pulled − out)

  • The work carried out in past papers provide a good tool to reproduce the behaviour of PFRC elements in a predictive way, capturing reasonably well the size effect of this type of materials, but the results shown here suggest that expressions such as those used to define σk, wk and σr

  • The numerical modelling of the size effect by means of a cohesive model fed with a trilinear softening function was studied using a predictive method

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Summary

Introduction

Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. The use of a cohesive zone formulation fed with a trilinear softening curve has proven to be very convenient for reproducing the fracture process in FRC [23], but it must be adapted depending on several factors such as the fibre length, the fibre proportion [16], and the specimen size [24]. The experimental work used as a reference of the size effect in PFRC is briefly described, the main features of the embedded cohesive crack model used to numerically reproduce fracture are presented, and the trilinear softening functions used with each specimen size are obtained by means of the expressions proposed in [16]. In the final part of this paper, an analysis of the influence of such parameters is carried out, and some conclusions are highlighted

Experimental Benchmark
Embedded Cohesive Crack Model
Definition of the Trilinear Softening Diagrams
Results and Discussion
Influence of wr
Influence of w f
Conclusions
Full Text
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