Title:
Comparative Study of State-of-the-Art Macroscopic Models for Planar Reinforced Concrete Walls
Author(s):
K. Kolozvari, C. Arteta, M. Fischinger, S. Gavridou, M. Hube, T. Isakovic´, L. Lowes, K. Orakcal, J. Vásquez, and J. Wallace
Publication:
Structural Journal
Volume:
115
Issue:
6
Appears on pages(s):
1637-1657
Keywords:
macroscopic models; nonlinear modeling; performance-based design; reinforced concrete walls
DOI:
10.14359/51710835
Date:
11/1/2018
Abstract:
Over the past 20 years, a spectrum of analytical models for nonlinear analysis of reinforced concrete (RC) structural walls, with varying capabilities and complexities, have become available for both research and design applications. Five conceptually different state-of-the-art macroscopic models were described, including two-node and four-node elements, based on either a fiber-based representation of a wall cross section or a strut-and-tie approach, using either force-deformation or strain-stress material behavior, and considering either coupled or uncoupled axial/flexural and shear responses. Modeling approaches were validated against experimental data obtained for five RC wall specimens characterized by a range of properties (for example, aspect ratio, axial load, and failure mechanism) to assess current modeling capabilities and identify future research directions. Results presented suggest that the considered analytical models typically overestimate initial wall stiffness, models with uncoupled flexural and shear behavior overestimate lateral capacity of walls where shear deformations are significant, models with shear-flexure interaction can capture nonlinear shear deformations, and that vertical strains within the plastic hinge region can be either overestimated or underestimated by a factor of 2 in the nonlinear response range using the plane sections assumption.
Related References:
ASCE 41-17, 2017, “Seismic Evaluation and Retrofit of Existing Buildings,” American Society of Civil Engineers, Reston, VA, 550 pp.
Baker, C.; Lowes, N.; and Lehman, D. E., 2016, “Recommendations for Modeling the Nonlinear Response of Slender Reinforced Concrete Walls Using PERFORM-3D,” Proceedings of the 2016 Convention of Structural Engineering Association of California (SEAOC), Maui, HI.
Belarbi, A., and Hsu, T. C., 1994, “Constitutive Laws of Concrete in Tension and Reinforcing Bars Stiffened By Concrete,” ACI Structural Journal, V. 91, No. 4, July-Aug., pp. 465-474.
Chang, G. A., and Mander, J. B., 1994, “Seismic Energy Based Fatigue Damage Analysis of Bridge Columns: Part I – Evaluation of Seismic Capacity,” Technical Report No. NCEER-94-0006, National Center for Earthquake Engineering Research (NCEER), State University of New York, Buffalo, NY, 232 pp.
Chowdhury, S. R., and Orakcal, K., 2013, “Analytical Modeling of Columns with Inadequate Lap Splices,” ACI Structural Journal, V. 110, No. 5, Sept.-Oct., pp. 735-744.
Coleman, J., and Spacone, E., 2001, “Localization Issues in Force-Based Frame Elements,” Journal of Structural Engineering, ASCE, V. 127, No. 11, pp. 1257-1265. doi: 10.1061/(ASCE)0733-9445(2001)127:11(1257)
Computers and Structures Inc, 2005, “PERFORM-3D,” Berkeley, CA.
Dashti, F.; Dhakal, R. P.; and Pampanin, S., 2014, “Simulation of Out-of-Plane Instability in Rectangular RC Structural Walls,” Second European Conference on Earthquake Engineering and Seismology, European Association of Earthquake Engineering (EAEE); European Seismological Commission (ESC), 2ECESS, Istanbul, Turkey.
Dazio, A.; Beyer, K.; and Bachmann, H., 2009, “Quasi-Static Cyclic Tests and Plastic Hinge Analysis of RC Structural Walls,” Engineering Structures, V. 31, No. 7, pp. 1556-1571. doi: 10.1016/j.engstruct.2009.02.018
Dhakal, R., and Maekawa, K., 2002a, “Path-Dependent Cyclic Stress-Strain Relationship of Reinforcing Bar Including Buckling,” Engineering Structures, V. 24, No. 11, pp. 1383-1396. doi: 10.1016/S0141-0296(02)00080-9
Dhakal, R., and Maekawa, K., 2002b, “Reinforcement Stability and Fracture of Cover Concrete in Reinforced Concrete Members,” Journal of Structural Engineering, ASCE, V. 128, No. 10, pp. 1253-1262. doi: 10.1061/(ASCE)0733-9445(2002)128:10(1253)
Dulacska, H., 1972, “Dowel Action of Reinforcement Crossing Cracks in Concrete,” ACI Journal Proceedings, V. 69, No. 12, Dec., pp. 754-757.
Elwood, K. J., and Moehle, J. P., 2003, “Shake Table Tests and Analytical Studies on the Gravity Load Collapse of Reinforced Concrete Frames,” PEER Report 2003/01, University of California, Berkeley, Berkeley, CA, 346 pp.
Filippou, F. C.; Popov, E. P.; and Bertero, V. V., 1983, “Effects of Bond Deterioration on Hysteretic Behavior of Reinforced Concrete Joints,” Report UCB/EERC-83/19, Earthquake Engineering Research Center, University of California, Berkeley, Berkeley, CA, 212 pp.
Fischinger, M.; Isaković, T.; and Kante, P., 2004, “Implementation of a Macro Model to Predict Seismic Response of RC Structural Walls,” Computers and Concrete, V. 1, No. 2, pp. 211-226. doi: 10.12989/cac.2004.1.2.211
Fischinger, M.; Kante, P.; and Isaković, T., 2017, “Shake-Table Response of a Coupled RC Wall with Thin T-Shaped Piers,” Journal of Structural Engineering, ASCE, V. 143, No. 5, p. 04017004 doi: 10.1061/(ASCE)ST.1943-541X.0001718
Fischinger, M.; Rejec, K.; and Isaković, T., 2012, “Modeling Inelastic Shear Response of RC Walls,” Proceedings, 15th World Conference on Earthquake Engineering, Lisbon, Portugal, No. 2120.
Fischinger, M.; Rejec, K.; and Isaković, T., 2014, “Inelastic Shear Response of RC Walls: A Challenge in Performance Based Design and Assessment,” Performance-Based Seismic Engineering: Vision for an Earthquake Resilient Society, M. Fischinger, ed., Springer, Dordrecht, Germany, pp. 347-363.
Fischinger, M.; Vidic, T.; Selih, J.; Fajfar, P.; Zhang, H. Y.; and Damjanic, F. B., 1990, “Validation of a Macroscopic Model for Cyclic Response Prediction of RC Walls,” Computer Aided Analysis and Design of Concrete Structures, N. B. Bicanic and H. Mang, eds., V. 2, Pineridge Press, Swansea, UK, pp. 1131-1142.
Gérin, M., and Adebar, P., 2009, “Simple Rational Model for Reinforced Concrete Subjected to Seismic Shear,” Journal of Structural Engineering, ASCE, V. 135, No. 7, pp. 753-761. doi: 10.1061/(ASCE)0733-9445(2009)135:7(753)
Gogus, A., 2010, “Structural Wall Systems—Nonlinear Modeling and Collapse Assessment of Shear Walls and Slab-Column Frames,” PhD dissertation, University of California Los Angeles, Los Angeles, CA, 243 pp.
Gomes, A., and Appleton, J., 1997, “Nonlinear Cyclic Stress-Strain Relationship of Reinforcing Bars Including Buckling,” Engineering Structures, V. 19, No. 10, pp. 822-826. doi: 10.1016/S0141-0296(97)00166-1
Hoshikuma, J.; Kawashima, K.; Nagaya, K.; and Taylor, A. W., 1997, “Stress-Strain Model for Confined Reinforced Concrete in Bridge Piers,” Journal of Structural Engineering, ASCE, V. 123, No. 5, pp. 624-633. doi: 10.1061/(ASCE)0733-9445(1997)123:5(624)
Jiang, H., and Kurama, Y., 2010, “Analytical Modeling of Medium-Rise Reinforced Concrete Shear Walls,” ACI Structural Journal, V. 107, No. 4, July-Aug., pp. 400-410.
Kabeyasawa, T.; Shiohara, H.; Otani, S.; and Aoyama, H., 1983, “Analysis of the Full-Scale Seven-Story Reinforced Concrete Test Structure,” Journal of the Faculty of Engineering, The University of Tokyo, V. 37, No. 2, pp. 431-478.
Kante, P., 2005, “Seismic Vulnerability of RC Walls,” PhD dissertation, University of Ljubljana, Ljubljana, Slovenia, 243 pp.
Kolozvari, K.; Orakcal, K.; and Wallace, J. W., 2015a, “Modeling of Cyclic Shear-Flexure Interaction in Reinforced Concrete Structural Walls. Part I: Theory,” Journal of Structural Engineering, ASCE, V. 141, No. 5, p. 04014135 doi: 10.1061/(ASCE)ST.1943-541X.0001059
Kolozvari, K.; Tran, A. T.; Orakcal, K.; and Wallace, J. W., 2015b, “Modeling of Cyclic Shear-Flexure Interaction in Reinforced Concrete Structural Walls. Part II: Experimental Validation,” Journal of Structural Engineering, ASCE, V. 141, No. 5, p. 04014136 doi: 10.1061/(ASCE)ST.1943-541X.0001083
Kolozvari, K.; Orakcal, K.; and Wallace, J. W., 2018, “New OpenSees Models for Simulating Nonlinear Flexural and Coupled Shear-Flexural Behavior of RC Walls and Columns,” Computers & Structures, V. 196, pp. 246-262. doi: 10.1016/j.compstruc.2017.10.010
Kolozvari, K., and Wallace, J. W., 2016, “Practical Nonlinear Modeling of Reinforced Concrete Structural Walls,” Journal of Structural Engineering, ASCE, V. 142, No. 12, p. G4016001 doi: 10.1061/(ASCE)ST.1943-541X.0001492
Los Angeles Tall Buildings Structural Design Council, 2017, “An Alternative Procedure for Seismic Analysis and Design of Tall Buildings Located in the Los Angeles Region,” Los Angeles, CA.
“LS-Dyna,” 2018, Livermore Software Technology Group, Livermore, CA.
Lu, Y., and Panagiotou, M., 2014, “Three-Dimensional Cyclic Beam-Truss Model for Nonplanar Reinforced Concrete Walls,” Journal of Structural Engineering, V. 140, No. 3, p. 04013071 doi: 10.1061/(ASCE)ST.1943-541X.0000852
Lu, Y.; Panagiotou, M.; and Koutromanos, I., 2014, “Three-Dimensional Beam-Truss Model for Reinforced-Concrete Walls and Slabs Subjected to Cyclic Static or Dynamic Loading,” PEER Report 2014/18, Pacific Earthquake Engineering Research Center, University of California, Berkeley, Berkeley, CA.
Mander, J. B.; Priestley, M. J. N.; and Park, R., 1988, “Theoretical Stress-Strain Model for Confined Concrete,” Journal of Structural Engineering, ASCE, V. 114, No. 8, pp. 1804-1826. doi: 10.1061/(ASCE)0733-9445(1988)114:8(1804)
Massone, L. M.; Orakcal, K.; and Wallace, J. W., 2006, “Shear-Flexure Interaction for Structural Walls,” Deformation Capacity and Shear Strength of Reinforced Concrete Members under Cyclic Loading, SP-236, American Concrete Institute, Farmington Hills, MI, pp. 127-150.
McKenna, F.; Fenves, G. L.; Scott, M. H.; and Jeremic, B., 2000, “Open System for Earthquake Engineering Simulation (OpenSees),” Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA.
Menegotto, M., and Pinto, E., 1973, “Method of Analysis for Cyclically Loaded Reinforced Concrete Plane Frames Including Changes in Geometry and Non-Elastic Behavior of Elements under Combined Normal Force and Bending,” Proceedings, IABSE Symposium, Lisbon, Portugal.
Nakamura, H., and Higai, T., 2001, “Compressive Fracture Energy and Fracture Zone Length of Concrete,” Modeling Inelastic Behavior of RC Structures under Seismic Loads, American Society of Civil Engineers, Reston, VA, pp. 471-487.
NEES, 2016, “The NEES Databases,” Network for Earthquake Engineering Simulation, https://datacenterhub.org/resources/395. (last accessed Aug. 7, 2018)
Neuenhofer, A., and Filippou, F. C., 1998, “Geometrically Nonlinear Flexibility-Based Frame Finite Element,” Journal of Structural Engineering, ASCE, V. 124, No. 6, pp. 704-711. doi: 10.1061/(ASCE)0733-9445(1998)124:6(704)
NHERI, 2018, “DesignSafe-CI,” Natural Hazards Engineering Research Infrastructure, www.designsafe-ci.org. (last accessed Aug. 7, 2018)
Oesterle, R.; Aristizabal-Ochoa, J.; Fiorato, A.; Russel, H.; and Corley, W., 1979, “Earthquake Resistant Structural Walls—Tests of Isolated Walls: Phase II,” Portland Cement Association, Skokie, IL, 327 pp.
Oesterle, R. G.; Fiorato, A. E.; Johal, L. S.; Carpenter, J. E.; and Corley, W. G., 1976, “Earthquake Resistant Structural Walls—Tests of Isolated Walls,” Report to the National Science Foundation, Construction Technology Laboratories, Portland Cement Association, Skokie, IL, 315 pp.
Orakcal, K.; Conte, J. P.; and Wallace, J. W., 2004, “Flexural Modeling of Reinforced Concrete Structural Walls—Model Attributes,” ACI Structural Journal, V. 101, No. 5, Sept.-Oct., pp. 688-698.
Orakcal, K.; Ulugtekin, D.; and Massone, L. M., 2012, “Constitutive Modeling of Reinforced Concrete Panel Behavior under Cyclic Loading,” Proceedings, 15th World Conference on Earthquake Engineering, Lisbon, Portugal, 11 pp.
Orakcal, K., and Wallace, J. W., 2006, “Flexural Modeling of Reinforced Concrete Walls—Experimental Verification,” ACI Structural Journal, V. 103, No. 2, Mar.-Apr., pp. 196-206.
Palermo, D., 2002, “Behaviour and Analysis of Reinforced Concrete Walls Subjected to Reversed Cyclic Loading [Microform],” PhD dissertation, Department of Civil & Mineral Engineering, University of Toronto, Toronto, ON, Canada, 372 pp.
Panagiotou, M.; Restrepo, J. I.; Schoettler, M.; and Kim, G., 2012, “Nonlinear Cyclic Truss Model for Reinforced Concrete Walls,” ACI Structural Journal, V. 109, No. 2, Mar.-Apr., pp. 205-214.
PEER/ATC 72, 2010, “Modeling and Acceptance Criteria for Seismic Design and Analysis of Tall Buildings,” Applied Technology Council, Pacific Earthquake Engineering Research Center, Berkeley, CA, 147 pp.
Pugh, J. S.; Lowes, L.; and Lehman, D., 2015, “Nonlinear Line-Element Modeling of Flexural Reinforced Concrete Walls,” Engineering Structures, V. 104, pp. 174-192. doi: 10.1016/j.engstruct.2015.08.037
Rejec, K., 2011, “Inelastic Shear Behaviour of RC Structural Walls under Seismic Conditions,” PhD dissertation, University of Ljubljana, Ljubljana, Slovenia, 347 pp.
Saatcioglu, M., and Razvi, S. R., 1992, “Strength and Ductility of Confined Concrete,” Journal of Structural Engineering, ASCE, V. 118, No. 6, pp. 1590-1607. doi: 10.1061/(ASCE)0733-9445(1992)118:6(1590)
Scott, B. D.; Park, R.; and Priestley, M. J. N., 1982, “Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates,” ACI Journal Proceedings, V. 79, No. 1, Jan.-Feb., pp. 13-27.
Scott, H. M.; Franchin, P.; Fenves, G. L.; and Filippou, F. C., 2004, “Response Sensitivity for Nonlinear Beam-Column Elements,” Journal of Structural Engineering, ASCE, V. 130, No. 9, pp. 1281-1288. doi: 10.1061/(ASCE)0733-9445(2004)130:9(1281)
Spacone, E.; Filippou, F. C.; and Taucer, F. F., 1996, “Fiber Beam-Column Model for Non-Linear Analysis of R/C Frame: Part I. Formulation,” Earthquake Engineering & Structural Dynamics, V. 25, No. 7, pp. 711-725. doi: 10.1002/(SICI)1096-9845(199607)25:73.0.CO;2-9
Stevens, N. J.; Uzumeri, S. M.; Collins, M. P.; and Will, T. G., 1991, “Constitutive Model for Reinforced Concrete Finite Element Analysis,” ACI Structural Journal, V. 88, No. 1, Jan.-Feb., pp. 49-59.
Taucer, F. F.; Spacone, E.; and Filippou, F. C., 1991, “A Fiber Beam-Column Element for Seismic Response Analysis of Reinforced Concrete Structures,” Report No. UCB/EERC-91/17, Earthquake Engineering Research Center, College of Engineering, University of California Berkeley, Berkeley, CA, 141 pp.
Thomsen, J. H., and Wallace, J. W., 1995, “Displacement-Based Design of Reinforced Concrete Structural Walls: An Experimental Investigation of Walls with Rectangular and T-Shaped Cross-Sections,” Report No. CU/CEE-95/06, Department of Civil Engineering, Clarkson University, Potsdam, NY, 344 pp.
Tran, T. A., and Wallace, J. W., 2015, “Cyclic Testing of Moderate-Aspect-Ratio Reinforced Concrete Structural Walls,” ACI Structural Journal, V. 112, No. 6, Nov.-Dec., pp. 653-665. doi: 10.14359/51687907
Tsai, W. T., 1988, “Uniaxial Compressional Stress-Strain Relation of Concrete,” Journal of Structural Engineering, ASCE, V. 114, No. 9, pp. 2133-2136. doi: 10.1061/(ASCE)0733-9445(1988)114:9(2133)
Ulugtekin, D., 2010, “Analytical Modeling of Reinforced Concrete Panel Elements under Reversed Cyclic Loadings,” MS thesis, Department of Civil Eng., Boğaziçi University, Istanbul, Turkey, 140 pp.
Vallenas, J. M.; Bertero, V. V.; and Popov, E. P., 1979, “Hysteretic Behavior of Reinforced Concrete Structural Walls,” Report No. UCB/EERC-79/20, Earthquake Engineering Research Center, University of California, Berkeley, Berkeley, CA, 268 pp.
Vásquez, J. A.; De la Llera, J. C.; and Hube, M. A., 2016, “A Regularized Fiber Element Model for Reinforced Concrete Shear Walls,” Earthquake Engineering & Structural Dynamics, V. 45, No. 13, pp. 2063-2083. doi: 10.1002/eqe.2731
Vecchio, F. J., and Collins, M. P., 1986, “The Modified Compression Field Theory for Reinforced Concrete Elements Subjected to Shear,” ACI Journal Proceedings, V. 83, No. 2, Mar.-Apr., pp. 219-231.
Vecchio, F. J., and Collins, M. P., 1993, “Compression Response of Cracked Reinforced Concrete,” Journal of Structural Engineering, ASCE, V. 119, No. 12, pp. 3590-3610. doi: 10.1061/(ASCE)0733-9445(1993)119:12(3590)
Vecchio, F. J., and Lai, D., 2004, “Crack Shear-Slip in Reinforced Concrete Elements,” Journal of Advanced Concrete Technology, V. 2, No. 3, pp. 289-300. doi: 10.3151/jact.2.289
VecTor Analysis Software, 2013, Department of Civil Engineering, University of Toronto, Toronto, ON, Canada.
Vintzeleou, E. N., and Tassios, T. P., 1987, “Behavior of Dowels under Cyclic Deformations,” ACI Structural Journal, V. 84, No. 1, Jan.-Feb., pp. 18-30.
Vulcano, A.; Bertero, V. V.; and Caloti, V., 1989, “Analytical Modeling of R/C Structural Walls,” Proceedings of the 9th WCEE, Tokyo-Kyoto, Japan, pp. 41-46.
Wallace, J. W., 2012, “Behavior, Design, and Modeling of Structural Walls and Coupling Beams - Lessons from Recent Laboratory Tests and Earthquakes,” International Journal of Concrete Structures and Materials, V. 6, No. 1, pp. 3-18. doi: 10.1007/s40069-012-0001-4
Wallace, J. W.; Elwood, K. J.; and Massone, L. M., 2008, “Investigation of the Axial Load Capacity for Lightly Reinforced Wall Piers,” Journal of Structural Engineering, ASCE, V. 134, No. 9, pp. 1548-1557. doi: 10.1061/(ASCE)0733-9445(2008)134:9(1548)
Yassin, M. H., 1994, “Nonlinear Analysis of Prestressed Concrete Structures under Monotonic and Cyclic Loads,” PhD dissertation, University of California, Berkeley, Berkeley, CA, 195 pp.