Systematic Calibration of Model Parameters Based on Large-Scale Experiments on Hybrid Masonry Walls
Publication: Journal of Structural Engineering
Volume 142, Issue 10
Abstract
Hybrid masonry is a relatively new type of structural system that benefits from the ductility and ease of construction of steel frames and from the in-plane strength and stiffness of reinforced masonry panels. Finite element analyses of hybrid masonry systems employ complex models, such as the two-scalar continuum damage model, to capture the propagation of damage through the masonry panels. Such formulations rely on several constitutive parameters but no simple experiments exist that can be used to decouple their effect and calibrate them independently. This paper proposes a method to calibrate the masonry parameters using experimental data from global system testing. Steel components are described by an elastoplastic model with kinematic hardening whose constitutive parameters are easily calibrated. A parameter calibration procedure for the damage model parameters based on the behavior of the base wall of a two-story hybrid system in global testing is proposed. In order to reduce the number of calibrated parameters, two constraints are applied to the compressive range of the constitutive law, requiring that for that range the stress-strain curve is similar to that of concrete. The effectiveness of these two constraints in finding an optimized set of parameters more efficiently is then verified by using uniaxial compression test data. An automatic calibration procedure of the remaining parameters is proposed based on the Nelder-Mead simplex method. It is demonstrated through numerical experiments that the models with calibrated parameters can accurately capture the behavior of hybrid masonry systems.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This work was partially funded under NSF-NEES grant (No. 0936464). The authors thank Prof. Ian Robertson and his research group from University of Hawaii at Manoa and Prof. Daniel P. Abrams and his research team at University of Illinois for useful discussions. The authors also thank the anonymous reviewers for their careful examination and valuable suggestions that helped us improve the manuscript.
References
Abrams, D. (2013). “NEES research on hybrid masonry structural systems.” 12th Canadian Masonry Symp., International Masonry Society, Surrey, U.K., 1–10.
Asselin, R. E., Fahnestock, L. A., Abrams, D. P., Robertson, I. N., Ozaki-Train, R., and Mitsuyuki, S. (2012). “Behavior and design of fuse-based hybrid masonry seismic structural systems.” Proc., 15th World Conf. on Earthquake Engineering, United Nations Office for Disaster Risk Reduction, Geneva.
ASTM. (2009). “Standard specification for deformed and plain carbon-steel bars for concrete reinforcement.” ASTM A615, West Conshohocken, PA.
ASTM. (2015). “Standard specification for structural steel shapes.” ASTM A992. West Conshohocken, PA.
Bazant, Z. P. (1992). “Fracture mechanics of concrete structures.” Proc., 1st Int. Conf. on Fracture Mechanics of Concrete Structures, Elsevier Applied Science.
FEAP 8.3 [Computer software]. Univ. of California, Berkeley, CA.
Gao, Z. (2014). “Computational framework for the analysis of hybrid masonry systems using an improved non-local technique.” Ph.D. dissertation, Rice Univ., Houston, TX.
Gregor, T. A., and Fahnestock, L. A. (2013). “Large-scale testing of hybrid masonry.” 12th Canadian Masonry Symp., International Masonry Society, Surrey, U.K., 1–10.
Hofstetter, G., and Meschke, G. (2011). Numerical modeling of concrete cracking, Springer, New York.
Jirásek, M. (2004). “Non-local damage mechanics with application to concrete.” Revur Française de Génie Civ., 8(5–6), 683–707.
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, Universite Pierre et Marie Curie, Paris.
Mazars, J. (1986). “Description of the behaviour of composite concretes under complex loadings through continuum damage mechanics.” Proc., U.S. National Congress of Applied Mechanics, Defense Technical Information Center, Fort Belvoir, VA, 135–139.
Mazars, J., and Pijaudier-Cabot, G. (1989). “Continuum damage theory—Application to concrete.” J. Eng. Mech., 345–365.
Mitsuyuki, S. (2012). “Hybrid masonry connector development.” M.S. thesis, Univ. of Hawaii at Manoa, Manoa, HI.
Nelder, J. A., and Mead, R. (1965). “A simplex method for function minimization.” Comput. J., 7(4), 308–313.
Nistor, M., Gao, Z., and Stanciulescu, I. (2015). “Through-bolt push out effects on the behavior of hybrid masonry systems.” Eng. Struct., 97, 47–53.
Nocedal, J., and Wright, S. (2006). Numerical optimization, Springer, New York.
Olsson, D. and Nelson, L. (1975). “The Nelder-Mead simplex procedure for function minimization.” Technometrics, 17(1), 45–51.
Ottosen, N. S., and Ristinmaa, M. (2005). The mechanics of constitutive modeling, 1st Ed., Elsevier, Oxford, U.K.
Pijaudier-Cabot, G., Mazars, J., and Pulikowski, J. (1991). “Steel-concrete bond analysis with nonlocal continuous damage.” J. Struct. Eng., 862–882.
Shen, B., Stanciulescu, I., and Paulino, G. (2010). “Inverse computation of cohesive fracture properties from displacement fields.” Inverse Prob. Sci. Eng., 18(8), 1103–1128.
Taylor, R. L. (2011). A finite element analysis program, version 8.3, Univ. of California, Berkeley, CA.
Zucchini, A. and Lourenço, P. (2009). “A micro-mechanical homogenisation model for masonry: Application to shear walls.” Int. J. Solids Struct., 46(3–4), 871–886.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jun 19, 2015
Accepted: Jan 19, 2016
Published online: Apr 13, 2016
Discussion open until: Sep 13, 2016
Published in print: Oct 1, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.