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Rate effect in inclined fibre pull-out for smooth and hooked-end fibres: a numerical study

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Abstract

Based on a numerical model to simulate the static behaviour of a smooth fibre extracted from a cementitious matrix, a rate dependent friction law, widely used in earthquake engineering for steady-state slip phenomena, is proposed to capture the rate effect observed in dynamic pull-out tests for both smooth and hooked-end fibres. After calibrating the friction coefficients with the experimental results of smooth fibres, the model is subsequently applied to predict the pullout behaviour of both smooth and hooked-end fibres at different inclination angles (\(0^{\circ }\), \(30^{\circ }\) and \(60^{\circ }\)) loaded at three different velocities (0.01, 0.1 and 1 mm/s). The global tendency of all the pull-out curves was captured, fibre’s cross sectional deformations were also reproduced remarkably well. Moreover, the developed model helps to cast light on the different mechanisms related to the pull-out process.

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Acknowledgements

Financial support from Ministerio de Ciencia, Innovación y Universidades, Spain, through the projects BIA2015-68678-C2-1-R and RTC-2017-6736-3, is acknowledged. Elisa Poveda appreciates the funding from the International Campus of Excellence CYTEMA, as well as, the University of Castilla-La Mancha, throughout Ayudas para estancias en universidades en el extranjero en 2019 en el ámbito del plan propio de investigación susceptibles de co-financiación por el Fondo FEDER, Programa 010100021 to fund her stay in the University of Minho during 2018 and 2019, respectively. Manuel Tarifa acknowledges the financial support from the Department of Applied Mechanics and Project Engineering, UCLM (2018), and from the Programa propio de I+D+i de la Universidad Politécnica de Madrid para realizar estancias de investigación internacional igual o superior a un mes (2019), with the same purpose. The last two authors acknowledge the support provided by the project ICoSyTec (POCI-01-0145-FEDER-027990) financed by FCT and co-funded by FEDER through the Operational Competitiveness and Internationalization Programme (POCI). The authors thank BEKAERT for the supply of fibres.

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Authors and Affiliations

  1. E.T.S. de Ingenieros de Caminos, C. y P., UCLM, Avda. Camilo José Cela s/n, 13071, Ciudad Real, Spain

    Elisa Poveda, Rena C. Yu & Gonzalo Ruiz

  2. E.T.S.I. Aeronáutica y del Espacio, Universidad Politécnica de Madrid, Pza. del Cardenal Cisneros 3, 28040, Madrid, Spain

    Manuel Tarifa

  3. Department of Civil Engineering, ISISE, Institute of Science and Innovation for Bio-Sustainability (IB-S), University of Minho, 4800-058, Guimarães, Portugal

    Vítor M. C. F. Cunha & Joaquim A. O. Barros

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  1. Elisa Poveda
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  2. Rena C. Yu
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  3. Manuel Tarifa
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  4. Gonzalo Ruiz
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  5. Vítor M. C. F. Cunha
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  6. Joaquim A. O. Barros
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Correspondence to Elisa Poveda.

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Poveda, E., Yu, R.C., Tarifa, M. et al. Rate effect in inclined fibre pull-out for smooth and hooked-end fibres: a numerical study. Int J Fract 223, 135–149 (2020). https://doi.org/10.1007/s10704-019-00404-7

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