Softened Damage-Plasticity Model for Analysis of Cracked Reinforced Concrete Structures
Publication: Journal of Structural Engineering
Volume 144, Issue 6
Abstract
This paper develops a new damage-plasticity model considering the compression-softening effect of RC. The model is based on the framework of a two-scalar damage-plasticity model, and adopts the elastoplastic damage energy release rates as the driven force of damage. To account for the compression-softening effect caused by transverse cracks of RC under shear, a softening coefficient is introduced in the model. With the modification, the new damage model can be used to simulate the typical shear behavior of cracked RC structures, which may not be captured by those models developed for plain concrete. Some computational aspects are also discussed. Finally, the model is validated through material tests and a series of RC member tests, and the results indicate that the proposed model has good performance in nonlinear analysis of RC structures.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Financial support from the National Natural Science Foundation of China (Grant Nos. 51708106, 51678439, and 51538010), the Natural Science Foundation of Jiangsu Province (Grant No. BK20170680), the National Key Research and Development Program of China (No. 2016YFC0701400), and the Fundamental Research Funds for the Central Universities (No. 2242017k30002) are greatly appreciated.
References
ABAQUS [Computer software]. Dassault Systèmes, Waltham, MA.
Belarbi, A., and Hsu, T. T. (1995). “Constitutive laws of softened concrete in biaxial tension compression.” ACI Struct. J., 92(5), 562–573.
Bentz, E. C., Vecchio, F. J., and Collins, M. P. (2006). “Simplified modified compression field theory for calculating shear strength of reinforced concrete elements.” ACI Struct. J., 103(4), 614–624.
Berto, L., Saetta, A., Scotta, R., and Talledo, D. (2014). “A coupled damage model for RC structures: Proposal for a frost deterioration model and enhancement of mixed tension domain.” Constr. Build. Mater., 65(9), 310–320.
Bresler, B., and Scordelis, A. C. (1963). “Shear strength of reinforced concrete beams.” ACI J. Proc., 60(1), 51–74.
Cervenka, V. (1970). “Inelastic finite element analysis of reinforced concrete panels under inplane loads.” Ph.D. thesis, Univ. of Colorado, Denver, CO.
Cope, R., Rao, P., Clark, L., and Norris, P. (1980). “Modelling of reinforced concrete behaviour for finite element analysis of bridge slabs.” Numerical methods for nonlinear problems, Pineridge, Swansea, U.K., 457–470.
Dennis, J. E. Jr., and Schnabel, R. B. (1996). Numerical methods for unconstrained optimization and nonlinear equations, Vol. 16, SIAM, Philadelphia.
Faria, R., Oliver, J., and Cervera, M. (1998). “A strain-based plastic viscous-damage model for massive concrete structures.” Int. J. Solids Struct., 35(14), 1533–1558.
Feng, D.-C., Kolay, C., Ricles, J. M., and Li, J. (2015). “Collapse simulation of reinforced concrete frame structures.” Struct. Des. Tall Spec. Build., 25(12), 578–601.
Feng, D.-C., and Li, J. (2016). “Stochastic nonlinear behavior of reinforced concrete frames. II: Numerical simulation.” J. Struct. Eng., 04015163.
Feng, D.-C., Ren, X., and Li, J. (2016). “Stochastic damage hysteretic model for concrete based on micromechanical approach.” Int. J. Non Linear Mech., 83, 15–25.
Feng, D.-C., Wu, G., Sun, Z.-Y., and Xu, J.-G. (2017). “A flexure-shear Timoshenko fiber beam element based on softened damage-plasticity model.” Eng. Struct., 140, 483–497.
Gupta, A. K., and Akbar, H. (1984). “Cracking in reinforced concrete analysis.” J. Struct. Eng., 1735–1746.
Hibbitt, Karlsson, and Sorensen. (2001). ABAQUS/standard user’s manual, Vol. 1, Pawtucket, RI.
Hsu, T. T. (1988). “Softened truss model theory for shear and torsion.” ACI Struct. J., 85(6), 624–635.
Hsu, T. T., and Mo, Y.-L. (2010). Unified theory of concrete structures, Wiley, New York.
Hsu, T. T., and Zhu, R. R. (2002). “Softened membrane model for reinforced concrete elements in shear.” ACI Struct. J., 99(4), 460–469.
Ju, J. (1989). “On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects.” Int. J. Solids Struct., 25(7), 803–833.
Karsan, I., and Jirsa, J. (1969). “Behavior of concrete under compressive loadings.” J. Struct. Div., 95(12), 2543–2564.
Kupfer, H., Hilsdorf, H. K., and Rusch, H. (1969). “Behavior of concrete under biaxial stresses.” ACI J. Proc., 66(8), 656–666.
Lee, J., and Fenves, G. L. (1998). “Plastic-damage model for cyclic loading of concrete structures.” J. Eng. Mech., 892–900.
Lemaitre, J. (1971). “Evaluation of dissipation and damage in metals submitted to dynamic loading.” ICAM-1, Japan.
Li, J., and Ren, X. (2009). “Stochastic damage model for concrete based on energy equivalent strain.” Int. J. Solids Struct., 46(11), 2407–2419.
Liang, J., Ren, X., and Li, J. (2016). “A competitive mechanism driven damage-plasticity model for fatigue behavior of concrete.” Int. J. Damage Mech., 25(3), 377–399.
Lotfi, H., and Shing, P. (1991). “An appraisal of smeared crack models for masonry shear wall analysis.” Comput. Struct., 41(3), 413–425.
Maekawa, K., Okamura, H., and Pimanmas, A. (2003). Non-linear mechanics of reinforced concrete, CRC Press, Boca Raton, FL.
Pang, X.-B. D., and Hsu, T. T. (1995). “Behavior of reinforced concrete membrane elements in shear.” ACI Struct. J., 92(6), 665–679.
Pang, X.-B. D., and Hsu, T. T. (1996). “Fixed angle softened truss model for reinforced concrete.” ACI Struct. J., 93(2), 197–207.
Ren, X., Zeng, S., and Li, J. (2015). “A rate-dependent stochastic damage-plasticity model for quasi-brittle materials.” Comput. Mech., 55(2), 267–285.
Robinson, J., and Demorieux, J. (1968). Essais de traction, compression sur modèles d’âme de poutre en béton armé: compte rendu partiel, Institut de Recherches Appliquees du Beton Arme, Paris.
Rots, J. G., and Blaauwendraad, J. (1989). “Crack models for concrete, discrete or smeared? Fixed, multi-directional or rotating?” HERON, 34(1), 1–59.
Saritas, A. (2006). “Mixed formulation frame element for shear critical steel and reinforced concrete members.” Ph.D. thesis, Univ. of California, Berkeley, CA.
Saritas, A., and Filippou, F. C. (2009). “Numerical integration of a class of 3d plastic-damage concrete models and condensation of 3d stress–strain relations for use in beam finite elements.” Eng. Struct., 31(10), 2327–2336.
Saritas, A., and Filippou, F. C. (2013). “Analysis of RC walls with a mixed formulation frame finite element.” Comput. Concr., 12(4), 519–536.
Selby, R., and Vecchio, F. (1997). “A constitutive model for analysis of reinforced concrete solids.” Can. J. Civ. Eng., 24(3), 460–470.
Stevens, N., Uzumeri, S., and Will, G. (1991). “Constitutive model for reinforced concrete finite element analysis.” ACI Struct. J., 88(1), 49–59.
Suidan, M., and Schnobrich, W. C. (1973). “Finite element analysis of reinforced concrete.” J. Struct. Div., 99, 2109–2122.
Teng, M. (2009). “Plastic-damage model of lightweight concrete and normal weight concrete.” Ph.D. thesis, National Univ. of Singapore, Singapore.
Tesser, L., Filippou, F., Talledo, D., Scotta, R., and Vitaliani, R. (2011). “Nonlinear analysis of R/C panels by a two parameter concrete damage model.” III ECCOMAS Thematic Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN, Corfu, Greece, 25–28.
Thomsen, J. H., and Wallace, J. W. (2004). “Displacement-based design of slender reinforced concrete structural walls—Experimental verification.” J. Struct. Eng., 618–630.
Vecchio, F. J. (1989). “Nonlinear finite element analysis of reinforced concrete membranes.” ACI Struct. J., 86(1), 26–35.
Vecchio, F. J. (1999). “Towards cyclic load modeling of reinforced concrete.” ACI Struct. J., 96(2), 193–202.
Vecchio, F., and Collins, M. (1981). “Stress-strain characteristics of reinforced concrete in pure shear.”, Advanced Mechanics of Reinforced Concrete Colloquium, International Association of Bridge and Structural Engineering, Zurich, Switzerland, 211–225.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI J. Proc., 83(2), 219–231.
Vecchio, F. J., and Collins, M. P. (1993). “Compression response of cracked reinforced concrete.” J. Struct. Eng., 3590–3610.
Wang, T., and Hsu, T. T. (2001). “Nonlinear finite element analysis of concrete structures using new constitutive models.” Comput. Struct., 79(32), 2781–2791.
Wu, J. Y. (2004). “Damage energy release rate-based elastoplastic damage constitutive model for concrete and its application to nonlinear analysis of structures.” Ph.D. thesis, Tongji Univ., Shanghai, China.
Wu, J. Y., Li, J., and Faria, R. (2006). “An energy release rate-based plastic-damage model for concrete.” Int. J. Solids Struct., 43(3), 583–612.
Zeng, S. J. (2012). “Dynamic experimental research and stochastic damage constitutive model for concrete.” Ph.D. thesis, Tongji Univ., Shanghai, China.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 144 • Issue 6 • June 2018
Copyright
©2018 American Society of Civil Engineers.
History
Received: Jun 29, 2016
Accepted: Oct 23, 2017
Published online: Mar 20, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 20, 2018
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.