Performance of Fibre Reinforced Concrete Structures - Modelling of Damage and Reliability


Article Preview

Steel fibre reinforced concrete (FRC) has higher ductility, it can save amount of convention reinforcement, labour and in consequence costs of the structure. However, broader use of SFRC as construction material is limited among others by lack of design codes. According to the previous study, reliability and safety of ordinary reinforced engineering can be verified using non-linear finite element analysis and several safety formats that are proposed in fib Model Code 2010. In the presented paper, safety formats are applied for fibre reinforced structures such as tunnel lining precast segment and individual approaches are compared. As tensile and shear cracks or compressive crushing can develop in the fibre reinforced concrete under severe conditions, the design combining numerical and experimental investigations together with safety formats is appropriate method how to obtain safe and reliable structure. Finite element method and advanced material models taking into account FRC properties such as shape of tensile softening branch, high toughness and ductility are described in the paper. Since the variability of FRC material properties is rather high, full probabilistic analysis seems to be the most appropriate format for evaluation of structural performance, reliability and safety.



Edited by:

Matteo Colombo, Marco di Prisco




R. Pukl et al., "Performance of Fibre Reinforced Concrete Structures - Modelling of Damage and Reliability", Key Engineering Materials, Vol. 711, pp. 690-697, 2016

Online since:

September 2016




* - Corresponding Author

[1] fib Model Code for Concrete Structures 2010. Wilhelm Ernst & Sohn, Berlin, Germany, (2013), ISBN 978-3-433-03061-5.

[2] Cervenka, V., Reliability-based non-linear analysis according to fib Model Code 2010, Structural Concrete, Journal of the fib, Vol. 14, March 2013, ISSN 1464-4177, (2013) 19-28, DOI: 10. 1002/suco. 201200022.


[3] Cervenka V., Cervenka J., Jendele L., ATENA Program Documentation, Part 1 Theory, Prague, (2016), Cervenka Consulting, www. cervenka. cz.


[4] Cervenka, V., Simulating a response, Concrete Engineering International, Vol. 4, No. 4, (2002) 45-49.

[5] Cervenka, J., Pappanikolaou, V., Three dimensional combined fracture-plastic material model for concrete. Int. J. of Plasticity, Vol. 24, 12, (2008) 2192-2220, ISSN 0749-6419, doi: 10. 1016/j. ijplas. 2008. 01. 004.


[6] Bergmeister, K., Novák, D., Pukl, R., Červenka, V., Structural assessment and reliability analysis for existing engineering structures, theoretical background, Structure and Infrastructure Engineering, Vol. 5, Issue 4, August 2009, pp.267-275.


[7] Holicky, M., Sykora, M., Global resistance factors for reinforced concrete members. In: Proceedings of the JCSS Workshop JCSS Workshop on Semiprobabilistic FEM Calculations, TNO Delft, The Netherlands (2009).

[8] Cervenka, V., Global Safety Format for Nonlinear Calculation of Reinforced Concrete. Beton- und Stahlbetonbau 103, Special Edition, Ernst&Sohn, (2008) 37-42.


[9] Bertagnoli, G., Giordano L., Mancini, G., Safety format for the nonlinear analysis of concrete structures, STUDIES AND RESEARCHES –V. 25, Politech. di Milano, (2004) Italy.

[10] Consoft - software documentation (2015). Available at: http: /bauwesen. htwk-leipzig. de/nc/de/fakultaet-bauwesen/personen/name/slowik.

[11] Kolísko, J., Tichý, J., Kalný, M., Huňka, P., Hájek, P. & Trefil, V., Development of ultra-high performance concrete (UHPC) on the basis of raw materials available in the Czech Republic. In: Betonové konstrukce 21. století: betony s přidanou hodnotou. Praha: Beton TKS (2012).

[12] Pukl, R., Havlásek, P., Vítek, P., Vítek, J.L., Vokáč, M., Bouška, P., Hilar, M., Numerical and experimental investigation of structural members made from RC and SFRC, fib Symposium, Tel Aviv 2013, (2013) 241-244.

[13] Stehlik, E., Cyron D., Prague Metro's return to TBMs. Tunnels & Tunnelling International, August (2012).