General Confinement Model Based on Nonlocal Information
Publication: Journal of Engineering Mechanics
Volume 140, Issue 6
Abstract
The confinement effect has been of significant importance for improving the resilience against extreme compression loadings such as seismic excitations. Notwithstanding the accuracy of previous confinement models, some challenges remain regarding their applicability. The previous approaches often build on structure-dependent parameters necessitating intractable calibrations, and their formulations are defined on an integration point or a small portion of the structure, thereby precluding general applicability to complicated real-scale RC structures. Here a general confinement model is proposed in a novel way that it can harness physical information inside the real-scale system. The information is denoted nonlocal information, since it is processed by the nonlocal formulation for assuring the mesh-objectivity. Physically, the nonlocal information provides the proximity to adjacent stiff materials and boundaries through the information index suggested herein. Numerical issues regarding the parallel computing and the optimal selection of the length parameter for the nonlocal formulation are also addressed. The unprecedentedly broad applications include a solid column, a hollow column, a rectangular wall, a T-shaped wall, and even a wall with opening, which strongly bear out the promising potential and universality of the novel confinement model.
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Acknowledgments
Regarding experimental data for validation, the kind hospitality of Professor John W. Wallace is appreciated. All numerical simulations were run on GARUDA, a high-performance computing cluster hosted within the Mechanical and Civil Engineering Department at the California Institute of Technology. The purchase and installation of GARUDA was possible thanks to the Ruth Haskell Research Fund, the Tomiyasu Discovery Fund, and Dell Inc. Professor S. Krishnan’s warm support with the cluster is deeply appreciated.
References
Ansari, F., and Li, Q. (1998). “High-strength concrete subjected to triaxial compression.” ACI Mater. J., 95(6), 747–755.
Attard, M. M., and Setunge, S. (1996). “Stress-strain relationship of confined and unconfined concrete.” ACI Mater. J., 93(5), 432–442.
Bažant, Z. P., and Jirásek, M. (2002). “Nonlocal integral formulation of plasticity and damage: Survey of progress.” J. Eng. Mech., 1119–1149.
Bažant, Z. P., and Ožbolt, J. (1990). “Nonlocal microplane model for fracture, damage, and size effect in structures.” J. Eng. Mech., 2485–2505.
Borino, G., Failla, B., and Parrinello, F. (2003). “A symmetric nonlocal damage theory.” Int. J. Solids Struct., 40(13–14), 3621–3645.
Braga, F., Gigliotti, R., and Laterza, M. (2006). “Analytical stress-strain relationship for concrete confined by steel stirrups and/or FRP jackets.” J. Struct. Eng., 1402–1416.
Candappa, D. C., Sanjayan, J. G., and Setunge, S. (2001). “Complete triaxial stress-strain curves of high-strength concrete.” J. Mater. Civ. Eng., 209–215.
Cho, I. (2013). “Virtual earthquake engineering laboratory capturing nonlinear shear, localized damage, and progressive buckling of bar.” Earthq. Spectra, 29(1), 103–126.
Cho, I., and Hall, J. F. (2012). “Parallelized implicit nonlinear FEA program for real scale RC structures under cyclic loading.” J. Comput. Civ. Eng., 356–365.
Cho, K. (2004). “An experimental and analytical study on the seismic behavior of RC piers using high-strength concrete and high-strength rebars.” Master’s thesis, Seoul National Univ., Seoul.
Feenstra, P. H., Rots, J. G., Arnesen, A., Teigen, J. G., and Høiseth, K. V. (1998). Computational modelling of concrete structures, R. de Borst et al., eds., Balkema, Rotterdam, Netherlands, 13–22.
Karabinis, A. I., and Kiousis, P. D. (1996). “Strength and ductility of rectangular concrete columns: A plasticity approach.” J. Struct. Eng., 267–274.
Malvar, L. J., Crawford, J. E., Wesevich, J. W., and Simons, D. (1994). “A new concrete material model for DYNA3D.” Technical Rep. TR-94-14.3, Karagozian & Case, Glendale, CA.
Mikame, A., Uchida, K., and Noguchi, H. (1991). “A study of compressive deterioration of cracked concrete.” Proc., Int. Workshop on Finite Element Analysis of Reinforced Concrete, American Concrete Institute (ACI), Farmington Hills, MI.
Paultre, P., and Légeron, F. (2008). “Confinement reinforcement design for reinforced concrete columns.” J. Struct. Eng., 738–749.
Polizzotto, C. (2002). “Remarks on some aspects of nonlocal theories in solid mechanics.” Proc., 6th National Congress SIMAI (CD-ROM), Societa' Italiana di Matematica Applicata ed Industriale (SIMAI), Rome.
Scott, B. D., Park, R., and Priestley, M. J. N. (1980). “Stress-strain relationships for confined concrete: Rectangular sections.” Rep. No. 80-6, Dept. of Civil Engineering, Univ. of Canterbury, Christchurch, New Zealand.
Selby, R. G., and Vecchio, F. J. (1993). “Three-dimensional constitutive relations for reinforced concrete.” Technical Rep. 93-02, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Sheikh, S. A., and Uzumeri, S. M. (1982). “Analytical model for concrete confinement in tied columns.” J. Struct. Div., 108(12), 2703–2722.
Taylor, C. P., Cote, P. A., and Wallace, J. W. (1998). “Design of slender reinforced concrete walls with openings.” ACI Struct. J., 95(4), 420–433.
Thomsen, J. H., IV, and Wallace, J. W. (1995). “Displacement-based design of reinforced concrete structural walls: Experimental studies of walls with rectangular and T-shaped cross sections.” Rep. No. CU/CEE-95/06, Dept. of Civil and Environmental Engineering, Clarkson Univ., Potsdam, NY.
Thomsen, J. H., IV, and Wallace, J. W. (2004). “Displacement-based design of slender reinforced concrete structural walls: Experimental verification.” J. Struct. Eng., 618–630.
Thorenfeldt, E., Tomaszewicz, A., and Jensen, J. J. (1987). “Mechanical properties of high-strength concrete and applications in design.” Proc., Symp. Utilization of High-Strength Concrete, American Concrete Institute (ACI), Farmington Hills, MI.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” ACI J., 83(22), 219–231.
Vecchio, F. J., and Collins, M. P. (1993). “Compression response of cracked reinforced concrete.” J. Struct. Eng., 3590–3610.
Wolf, J. (2008). “A plasticity model to predict the effects of confinement on concrete.” Ph.D. thesis, California Institute of Technology, Pasadena, CA.
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© 2014 American Society of Civil Engineers.
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Received: Feb 17, 2013
Accepted: Oct 9, 2013
Published online: Oct 11, 2013
Published in print: Jun 1, 2014
Discussion open until: Jun 23, 2014
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