Inverse Analysis Tailored for UHPFRC
Publication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
Nonlinear behavior of concrete reinforced by rebars and/or fibers has been studied over decades. In this paper, classical models for flexural behavior are discussed and an improved model is proposed. The model is based on a modified force-based fiber-beam formulation where progressive loading is driven by a curvature at its nonlinear hinge. Such a procedure allows capturing both softening and hardening behavior without any further adjustments. The curvature outside of the nonlinear hinge decreases during a deflection-softening phase, and therefore a damaged constitutive law should be introduced. Rather than using the classical damage model proposed by Mazars, a macroscopic damage model at the moment-curvature level is proposed. The moment-curvature damage model reduces the whole computation of the beam equilibrium to only one numerical loop. Consequently, time efficiency of the proposed model is significantly improved. Hypotheses of the new model such as damage modeling, localization, and shear deflection are discussed and finally practical applications are presented to show the model benefits.
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Acknowledgments
The support of the Grant Agency of the Czech Republic—Grant Project No. 16-04454S “Uncertainties on the material level affecting those on the structural level” is gratefully acknowledged by the author.
References
AFGC (Association Francaise de Genie Civil). (2013). “Ultra high performance fibre-reinforced concretes—Recommendations.” Paris.
Baby, F., Graybeal, B., Marchand, P., and Toutlemonde, F. (2013). “UHPFRC tensile behavior characterization: Inverse analysis of four-point bending test results.” Mater. Struct., 46(8), 1337–1354.
Bažant, Z., and Oh, B. (1983). “Crack band theory for fracture of concrete.” Mat. Struct. (RILEM, Paris), 16, 155–177.
Bretschneider, N., Villmann, B., and Slowik, V. (2013). “On the characterization of strain hardening cement-based materials by inverse analysis of bending tests.” Fracture Mechanics of Concrete and Concrete Structures: Proc., 8th Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures (FraMCoS-8), held in Toledo, Spain, 11-14 March 2013, J. van Mier, G. Ruiz, C. Andrade, R. Yu, and X. Zhang, eds., CIMNE, International Center for Numerical Methods in Engineering, Barcelona, Spain, 2056–2065.
Casanova, P. (1995). “Bétons renforcés de fibres métalliques: Du matériau à la structure.” Ph.D. thesis, l’Ecole Nationale des Ponts et Chaussées, Champs-sur-Marne, France.
Cervenka, V., Jendele, L., and Cevenka, J. (2012). “ATENA program documentation. 1: Theory.” ⟨http://www.cervenka.cz/assets/files/atena-pdf/ATENA_Theory.pdf⟩ (Mar. 1, 2014).
Chanvillard, G., and Corvez, D. (2013). “Explicit back analysis method for quick determination of direct tensile strength of plate structural members.”, F. Toutlemonde and J. Resplendino, eds., RILEM Publications, Paris, 659–668.
Chanvillard, G., and Roque, O. (1999). “Behavior of fibre reinforced concrete cracked section under sustained load.” PRO 6: 3rd Int. RILEM Workshop on High Performance Fiber Reinforced Cement Composites, H. Reinhardt and A. E. Naaman, eds., RILEM Publications, Paris, 239–250.
Dobruský, S., Lussou, P., Chanvillard, G., Perez, F., and Corvez, D. (2013). “Flexural behaviour of UHPC beams reinforced with organic fibers and steel bars.”, F. Toutlemonde and J. Resplendino, eds., RILEM Publications, Paris, 659–668.
fib (International Federation for Structural Concrete). (2010). “Model code 2010—First complete draft, volume 1.”, Lausanne, Switzerland.
Hsu, T., and Mo, Y. (2010). Unified theory of concrete structures, Wiley, New York.
Jirásek, M. (2007). “Nonlocal damage mechanics.” Revue Européenne de Génie Civil, 11(7–8), 993–1021.
Mazars, J. (1984). “Application de la mécanique de l’endommagement au comportement non linéaire et à la rupture du béton de structure.” Ph.D. thesis, Université Paris VI, Paris.
Naaman, A. E. (2008). “Chapter 3: High performance fiber reinforced cement composites.” High-performance construction materials: Science and applications, C. Shi and Y. Mo, eds., World Scientific, Hackensack, NJ, 91–153.
Neuenhofer, A., and Filippou, F. (1997). “Evaluation of nonlinear frame finite-element models.” J. Struct. Eng., 958–966.
Qian, S., and Li, V. C. (2008). “Simplified inverse method for determining the tensile properties of SHCC.” J. Adv. Concr. Technol., 6(2), 353–363.
RILEM. (2002). “Design of steel reinforced concrete using the σ-w method: Principles and applications.” Mater. Struct., 36(262), 560–567.
SOFiSTiK AG 27.11 [Computer software]. 3D FEM Professional, Oberschleissheim, Germany.
Soranakom, C., and Mobasher, B. (2007). “Closed-form solutions for flexural response of fiber-reinforced concrete beams.” J. Eng. Mech., 933–941.
Soranakom, C., and Mobasher, B. (2008). “Correlation of tensile and flexural responses of strain softening and strain hardening cement composites.” Cem. Concr. Compos., 30(6), 465–477.
Spacone, E., Filippou, F. C., and Taucer, F. F. (1996a). “Fibre beam-column model for non-linear analysis of R/C frames. I.” Earthquake Eng. Struc. Dyn., 25(7), 711–725.
Spacone, E., Filippou, F. C., and Taucer, F. F. (1996b). “Fibre beam-column model for non-linear analysis of R/C frames. II.” Earthquake Eng. Struct. Dyn., 25(7), 727–742.
Stang, H., and Olesen, J. (2000). “A fracture mechanics based design approach to FRC.” PRO 15: Fibre–Reinfoced Concretes (FRC), P. Rossi and G. Chanvilard, eds., RILEM Publications, Paris, 315–324.
Taucer, F., Spacone, E., and Filippou, F. (1991). A fiber beam-column element for seismic response analysis of reinforced concrete structures, Vol. 91, Pacific Earthquake Engineering Research Center, College of Engineering, Univ. of California, Berkeley, CA.
Timoshenko, S. (1941). Strength of materials. Part I: Elementary theory and problems, 2nd Ed., D. Van Nostrand Company, Inc., New York.
Ulfkjaer, J., Krenk, S., and Brincker, R. (1995). “Analytical model for fictitious crack propagation in concrete beams.” J. Eng. Mech., 7–15.
Valipour, H., and Foster, S. (2007). “A novel flexibility based beam-column element for nonlinear analysis of reinforced concrete frames.”, Univ. of New South Wales, New South Wales, Australia, 117.
Wille, K., El-Tawil, S., and Naaman, A. E. (2014). “Properties of strain hardening ultra high performance fiber reinforced concrete (UHP-FRC) under direct tensile loading.” Cem. Concr. Compos., 48, 53–66.
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©2017 American Society of Civil Engineers.
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Received: May 10, 2016
Accepted: Apr 13, 2017
Published online: Jun 30, 2017
Published in print: Sep 1, 2017
Discussion open until: Nov 30, 2017
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