Technical Papers
Oct 16, 2014

Utilization of Nonlinear Finite Elements for the Design and Assessment of Large Concrete Structures. I: Calibration and Validation

Publication: Journal of Structural Engineering
Volume 141, Issue 9

Abstract

This two-part paper is an application of advanced nonlinear finite-element analyses (ANFEA) for the design or assessment of large concrete structures. It presents an innovative application of ANFEA that reveals many important aspects of numerical modeling and safety verification, starting from the material up to the structural level and going from calibration and validation to the prediction level. A complex hydraulic structure with large members and nonconventional boundary conditions is taken as the target design structure (TDS). Following a two-step procedure that was proposed in a previous paper, the model error is first computed for two candidate concrete models (part 1). Using the selected concrete model and the corresponding model error, the global resistance factor is computed in a second step for the TDS (part 2). This first part is related to the calibration and validation assessments for the ANFEA models of concrete structures. These issues can be viewed as two basic steps within the verification and validation process (V&V) that has been adopted in other engineering fields. In the calibration procedure, the size effect phenomenon, which is a major parameter for the TDS, is considered. The distinction between size effect statistical (material) and deterministic (energetic) components is highlighted, and a new approach for considering each contribution is presented. The validation process is undertaken from the material to the structural level. It is shown through this process that the use of only the compressive strength of concrete and the yield stress of reinforcement are sufficient with one candidate concrete model in order to obtain a relatively low coefficient of variation of model error. The paper illustrates a general methodology that can be applied with any ANFEA software to design or assess the safety level of unusual concrete structures.

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Acknowledgments

The authors would like to acknowledge the financial support obtained from Natural Sciences and Engineering Council (NSERC) of Canada, the Center for Research on Concrete Infrastructures of Quebec (FQRNT-CRIB), and the Quebec Ministry of Transportation.

References

AASHTO. (2013). AASHTO LRFD bridge design specifications, 6th Ed., Washington, DC.
American Institute of Aeronautics and Astronautics (AIAA). (1998). “Guide for the verification and validation of computational fluid dynamics simulations.”, Reston, VA.
Bažant, Z. P., and Novák, D. (2000). “Energetic statistical size effect in quasibrittle failure at crack initiation.” ACI Mater. J., 97(3), 381–392.
Bažant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Mater. Struct., 16, 155–177.
Bažant, Z. P., Pang, S. D., Vorechovsky, M., and Novak, D. (2007a). “Energetic-statistical size effect simulated by SFEM with stratified sampling and crack band model.” Int. J. Numer. Methods Eng., 71(11), 1297–1320.
Bažant, Z. P., Pang, S. D., Vorechovsky, M., Novák, D., and Pukl, R. (2004). “Statistical size effect in quasibrittle materials: Computation and extreme value theory.” FraMCoS-5: 5th Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures, CO.
Bažant, Z. P., and Planas, J. (1998). Fracture and size effect in concrete and other quasibrittle materials, CRC Press, Boca Raton, FL, London.
Bažant, Z. P., Vorechovsky, M., and Novak, D. (2007b). “Asymptotic prediction of energetic-statistical size effect from deterministic finite-element solutions.” J. Eng. Mech., 153–162.
Bendat, J. S., and Piersol, A. G. (2000). Random data: Analysis and measurement procedures, Wiley, New York.
Ben Ftima, M., and Massicotte, B. (2004). Introduction of concrete model of Bouzaiene and Massicotte in the ABAQUS software (version 6.4.1 Standard and Explicit), Group for Research in Structural Engineering (GRS), École Polytechnique de Montréal, Montreal, Canada.
Ben Ftima, M., and Massicotte, B. (2012). “Development of a reliability framework for the use of advanced nonlinear finite elements in the design of concrete structures.” J. Struct. Eng., 1054–1064.
Bernardo, J. M., and Smith, A. F. M. (1994). Bayesian theory, John Wiley, New York.
Bertagnoli, G., Giordano, L., and Mancini, G. (2004). “Safety format for the nonlinear analysis of concrete structures.” Studies and researches, Politechnico di Milano, Italy, 25.
Bhide, S. B., and Collins, M. P. (1987). “Reinforced concrete elements in shear and tension.”, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Bouzaiene, A., and Massicotte, B. (1997). “Hypoelastic tridimensional model for nonproportional loading of plain concrete.” J. Eng. Mech., 1111–1120.
Bouzaiene, A. H., and Massicotte, B. (1995). “Translation: Characterization and modeling of nonlinear behavior of concrete elements subjected to multi-axial loading.”, École Polytechnique de Montréal, Montreal, Canada.
Bresler, B., and Scordelis, A. C. (1963). “Shear strength of reinforced concrete beams.” ACI J., 60(1), 51–72.
Canadian Standards Association (CSA). (2004). “Design of concrete structures.” CSA standard A23.3-04, Toronto.
Cervenka, V. (2008). “Global safety format for nonlinear calculation of reinforced concrete.” Beton und Stahlbetonbau, 103, 37–42.
Chen, W., Xiong, Y., Tsui, K. L., and Wang, S. (2006). “Some metrics and a Bayesian procedure for validating predictive models in engineering design.” Proc., IDETC/CIE, Philadelphia.
Collins, M. P., and Kuchma, D. (1999). “How safe are our large lightly reinforced concrete beams, slabs and footings?” ACI Struct. J., 96(4) 482–490.
Comite Euro-International du Béton (CEB-FIP). (1993). CEB-FIP model code 1990: Design code, Thomas Telford, London.
Comité Euro-International du Béton (CEB-FIP). (1978). CEB-FIP model code for concrete structures, 3rd Ed., Lausanne, Switzerland.
Defense Modeling and Simulation Office (DMSO). (1996). “Verification, validation, and accreditation.” DoD Instruction 5000.61, U.S. Dept. of Defense, 〈www.dmso.mil/docslib〉.
Fédération Internationale du Béton (FIB). (2008). “Practioners’ guide to finite element modelling of reinforced concrete structures.”, Lausanne, Switzerland.
Hanson, K. M. (1999). “A framework for assessing uncertainties in simulation predictions.” Physica D, 133(1–4), 179–188.
Henrique, A. A. R., Calheiros, F., and Figueiras, J. A. (2002). “Safety format for the design of concrete frames.” Eng. Comput., 19(3), 346–363.
Hibbitt, H. D., Karlson, B. I., and Sorensen, E. P. (2010). ABAQUS version 6.10, finite element program, Hibbitt, Karlson and Sorensen, Providence, RI.
Hills, R. G., and Trucano, T. G. (2002). Statistical validation of engineering and scientific models: A maximum likelihood based metric, Sandia National Laboratories, Albuquerque, NM.
Hsieh, S. S., Ting, E. C., and Chen, W. F. (1982). “A plasticity-fracture model for concrete.” Int. J. Solids Struct., 18(3), 181–197.
IEEE. (1984). “Standard dictionary of electrical and electronics terms.” ANSI/IEEE Std 100-1984, New York.
Iguro, M., Shioya, T., Nojiri, Y., and Akiyama, H. (1985). “Experimental studies on shear strength of large reinforced concrete beams under uniformly distributed load.” Concr. Lib. JSCE, 5, 137–154.
Kupfer, H. B., Hillsdorf, H. K., and Rusch, H. (1969). “Behavior of concrete under biaxial stress.” ACI J., 66(8), 356–366.
Lee, J., and Fenves, G. L. (1989). “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech., 892–900.
Lubliner, J. J., Oliver, S., Oller, S., and Oñate, E. (1989). “A plastic-damage model for concrete.” Int. J. Solids Struct., 25(3), 229–326.
MacGregor, J. G. (1976). “Safety and limit states design for reinforced concrete.” Can. J. Civ. Eng., 3(4), 484–513.
MacGregor, J. G. (1997). Reinforced concrete, mechanics and design, 3rd Ed., Prentice Hall, Upper Saddle River, NJ.
Maekawa, K., Pimanmas, A., and Okamura, H. (2003). Nonlinear mechanics of reinforced concrete, Spon Press, London.
Massicotte, B., Ben Ftima, M., Nour, A., Yildiz, E., and Conciatori, D. (2012). “Implementation of a validation procedure for using numerical models in concrete structure design and assessment.” SSCS Conf., AFGC, Paris, France.
Massicotte, B., Nour, A., Ben Ftima, M., and Yildiz, E. (2007). “EPM3D: A user-supplied constitutive model for the nonlinear finite element analysis of reinforced concrete structures.”, École Polytechnique de Montréal, Montreal, Canada.
McNeice, A. M. (1967). “Elastic-plastic bending of plates and slabs by the finite element method.” Ph.D. thesis, London Univ., London, England.
Mirza, S. A., Hatzinikolas, M., and Macgregor, J. G. (1979). “Statistical descriptions of the strength of concrete.” Proc. ASCE J. Struct. Div., 105(ST6), 1021–1037.
Ngo, D., and Scordelis, A. C. (1967). “Finite element analysis of reinforced concrete beams.” ACI J., 64(3), 152–163.
Oberkammpf, W. L., and Barone, M. F. (2006). “Measures of agreement between computation and experiment: Validation metrics.” J. Comput. Phys., 217(1), 5–36.
Rashid, Y. R. (1968). “Ultimate strength analysis of reinforced concrete pressure vessels.” Nucl. Eng. Des., 7(4), 334–344.
Roache, P. J. (1998). Verification and validation in computational science and engineering, Hermosa Publishers, Albuquerque, NM.
Rogowsky, D. M., MacGregor, J. G., and Ong, S. Y. (1986). “Tests of reinforced concrete deep beams.” ACI J., 83(4), 614–623.
Rosenblueth, E. (1975). “Point estimates for probability moments.” Proc., Natl. Acad. Sci., 72(10), 3812–3814.
Rossi, P., and Richer, S. (1987). “Numerical modeling of concrete cracking based on a stochastic approach.” Mater. Struct., 20(5), 334–337.
Schickert, G., and Winkler, H. (1977). Results of test concerning strength and strain of concrete subjected to multiaxial compressive stresses, Deutsher Ausschuss Fur Stahlbeton, Berlin.
Schlangen, E., and Van Mier, J. G. M. (1992). “Simple lattice model for numerical simulation of fracture of concrete materials.” Mater. Struct., 25(9), 534–542.
Schlesinger, S. (1979). “Terminology for model credibility.” Simulation, 32(3), 103–104.
Shioya, T., Iguro, M., Nojiri, Y., Akiayma, H., and Okada, T. (1989). “Shear strength of large reinforced concrete beams.”, American Concrete Institute, Detroit, 259–279.
Thacker, B. H., Doebling, S. W., Hemez, F. M., Anderson, M. C., Pepin, J. E., and Rodriguez, E. A. (2004). “Concepts of model verification and validation.”.
Van Vliet, M. R. A., and Van Mier, J. G. M. (2000). “Experimental investigation of size effect in concrete and standstone under uniaxial tension.” Eng. Fract. Mech., 65(2–3), 165–188.
Vecchio, F. J., and Collins, M. P. (1982). “The response of reinforced concrete to in-plane shear and normal stresses.”, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Vorechovsky, M., and Sadilek, V. (2008). “Computational modeling of size effects in concrete specimens under uniaxial tension.” Int. J. Fract., 154(1–2), 27–49.
Weibull, W. (1939). “Phenomenon of rupture in solids.” Ingenioers vetenskaps akademien Handlingar, 153, Generalstabens Litografiska Anstalts Förlag, Stockholm, Sweden, 1–55.
Willam, K., Pramono, E., and Sture, S. (1987). “Fundamental issues of smeared crack models.” Proc., SEM-RILEM Int. Conf. on Fracture of Concrete and Rock, Bethel, CT, 192–207.
Wittmann, F. H. (1983). “Structure and mechanical properties of concrete.” Architectural Rep., Vol. 22, Tohoku Univ., Sendai, Japan, 93–112.
Yoshida, Y. (2000). “Shear reinforcement for large lightly reinforced concrete members.” M.S. thesis, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Zech, B., and Wittmann, F. H., (1978). “A complex study on the reliability assessment of the containment of a PWR. Part II: Probabilistic approach to describe the behavior of materials.” Nucl. Eng. Des., 48(2–3), 575–584.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 141Issue 9September 2015

History

Received: Oct 1, 2013
Accepted: Jul 31, 2014
Published online: Oct 16, 2014
Discussion open until: Mar 16, 2015
Published in print: Sep 1, 2015

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Mehdi Ben Ftima
Postdoctoral Fellow, Dept. of Civil, Geological and Mining Engineering, Ecole Polytechnique of Montréal, P.O. Box 6079, Station Centre-ville, Montreal, QC, Canada H3C 3A7; and Structural Engineer, Hydro Division, SNC-Lavalin Inc., 1801 McGill College Ave., Montreal, QC, Canada H3A 2N4.
Bruno Massicotte, M.ASCE [email protected]
Professor, Dept. of Civil, Geological and Mining Engineering, Ecole Polytechnique of Montréal, P.O. Box 6079, Station Centre-ville, Montreal, QC, Canada H3C 3A7 (corresponding author). E-mail: [email protected]

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