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An inverse analysis method based on deflection to curvature transformation to determine the tensile properties of UHPFRC

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Abstract

The determination of the tensile properties of such a deflection hardening response material as UHPFRC is a serious challenge for both researchers and designers. This process involves many factors, such as specimen size, fibre orientation or test typology. The so-called inverse analysis is used to obtain the tensile constitutive properties that are consistent with the specimen response in a bending test. This work focuses on the inverse analysis process. The main aim is to develop a new back-calculation methodology, which is easy to implement, reliable, quick and is consistent with the measurements taken from a four-point bending test. The new methodology proposed has been validated using an analytical formulation and the experimental results of others authors. This paper also includes an application example of how this methodology works.

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References

  1. AFGC (2013) Ultra High Performance Fiber Reinforced Concretes. Recommendations

  2. Baby F, Graybeal B, Marchand P, Toutlemonde F (2012) Proposed flexural test method and associated inverse analysis for Ultra High Performance Fiber Reinforced Concrete. ACI Mater J 109(5):545–556

    Google Scholar 

  3. Baby F, Graybeal B, Marchand P, Toutlemonde F (2013) UHPFRC tensile behaviour characterization: inverse analysis of four-point bending test results. Mater Struct 46:1337–1354

    Article  Google Scholar 

  4. Bache H (1981) Densified cement ultra-fine particle-based materials. In: Second international conference on superplasticizers in concrete, 10–12 June 1981

  5. de Larrard F, Sedran T (1994) Optimization of Ultra-High-Performance Concrete by the use of a packing model. Cem Concr Res 24(6):997–1009

    Article  Google Scholar 

  6. Graybeal B (2006) Material property characterization of Ultra-High Performance Concrete. Federal Highway Administration FHWA-HRT-06-103, August 2006

  7. Graybeal B, Baby F (2013) Direct tension test method for UHPFRC. ACI Mater J 110(2):177–186

    Google Scholar 

  8. Groeger J, Tue NV, Wille K (2012) Bending behaviour and variation of flexural parameters of UHPFRC. In: Schmidt M, Fehling E (eds) Proceedings of Hipermat 2012, 3rd international symposium on UHPC and nanotechnology for high performance construction materials. Kassel, Germany, 7–9 March 2012, pp 419–426

  9. JSCE (2008) Recommendations for design and construction of High Performance Fiber Reinforced Cement Composites with Multiple Fine Cracks (HPFRCC)

  10. Kanakubo T (2006) Tensile characteristics evaluation method for ductile fiber-reinforced cementitious composites. J Adv Concr Technol 4(1):3–17

    Article  Google Scholar 

  11. Naaman A (1987) High Performance Fiber Reinforced Cement Composites. In: Proceedings of the IABSE symposium on concrete structures for the future, pp 371–376

  12. Ostergaard L, Walter R, Olesen J (2005) Method for determination of tensile properties of engineered cementitious composites (ECC). In: Proceedings of ConMar’05

  13. Parra-Montesinos G, Reinhardt H, Naaman A (2011) High Performance Fiber Reinforced Cement Composites 6 (HPFRCC6). RILEM Bookseries. Springer, Dordrecht

  14. Qian S, Li V (2007) Simplified inverse method for determining the tensile strain capacity of strain hardening cementitious composites. J Adv Concr Technol 5(2):235–246

    Article  Google Scholar 

  15. Reineck K-H, Frettlöhr B (2010) Test on scale effect of UHFPRC under bending and axial forces. In: 3rd Fib international congress, Washington DC, Paper 54, p 40

  16. Rigaud S, Chanvillar G, Chen J (2011) Characterization of bending and tensile behavior of Ultra-High Performance Concrete containing glass fibers. In: 6th international symposium on high performance fiber reinforce cement composites, pp 373–380

  17. SETRA-AFGC (2002) Ultra High Performance Fiber Reinforced Concretes. Interim Reccomendations

  18. Soranakom C, Mobasher B (2007) Closed-form moment–curvature expressions for Homogenized Fiber-Reinforced Concrete. ACI Mater J 104(4):351–359

    Google Scholar 

  19. Soranakom C, Mobasher B (2008) Correlation of tensile and flexural responses of strain softening and strain hardening cement composites. Cem Concr Compos 30(6):465–477

    Article  Google Scholar 

  20. Spasojevic A (2008) Structural implication of Ultra High Performance Fibre Reinforced Concrete in bridge design. PhD Thesis, École Polytechnique Fédérale de Lausanne, April 2008

  21. Tailhan J-L, Rossi P, Parant E (2004) Inverse numerical approach to determine the uniaxial tensile behaviour of a stress hardening cement composite from its bending behaviour. In: 6th RILEM symposium on fibre-reinforced concretes (FRC)—BEFIB 2004, 20–22 September 2004, pp 913–924

  22. Tailhan J-L, Boulay C, Rossi P (2012) Tensile and bending behaviour of a strain hardening cement-based composite: experimental and numerical analysis. Cem Concr Compos 34(2):166–171

    Article  Google Scholar 

  23. Walraven J (2012) On the way to international design recommendations for Ultra High Performance Fibre Reinforced Concrete. In: Proceedings of the 3rd international symposium on UHPC and nanotechnology for high performance construction materials, 7–9 March 2012, pp 51–58

  24. Wille K, El-Tawil S, Naaman AE (2014) Properties of strain hardening Ultra High Performance Fiber Reinforced Concrete (UHP-FRC) under direct tensile loading. Cem Concr Compos 48:53–66

    Article  Google Scholar 

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Acknowledgments

This work forms part of the “FIBAC” and “FISNE” research projects, with reference BIA2009-12722 and BIA2012-35776, respectively, supported by the Spanish Ministry of Economy and Competiveness and the FEDER fund. Support for this project is gratefully acknowledged. We also wish to thank the Universitat Politècnica de València for its Excellence Scholarship (PAID-09-11), the Spanish Ministry of Education, Culture and Sport for its FPU scholarship programme, and also Mr. Toshiyuki Kanakubo for his friendly treatment and help.

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Authors and Affiliations

  1. Universitat Politècnica de València, Valencia, Spain

    Juan Ángel López, Pedro Serna, Juan Navarro-Gregori & Esteban Camacho

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  1. Juan Ángel López
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  2. Pedro Serna
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  3. Juan Navarro-Gregori
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  4. Esteban Camacho
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Correspondence to Juan Ángel López.

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López, J.Á., Serna, P., Navarro-Gregori, J. et al. An inverse analysis method based on deflection to curvature transformation to determine the tensile properties of UHPFRC. Mater Struct 48, 3703–3718 (2015). https://doi.org/10.1617/s11527-014-0434-0

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  • DOI: https://doi.org/10.1617/s11527-014-0434-0

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