Technical Papers
Feb 21, 2020

Coupled Creep-Damage-Plasticity Model for Concrete under Long-Term Loading

Publication: Journal of Engineering Mechanics
Volume 146, Issue 5

Abstract

A damage-plasticity model is extended to account for the effects of simultaneously occurring stiffness degradation, residual deformation, and creep. Assuming the additivity of small strains, the model combines damage mechanics, plasticity theory, and an improved version of the ACI model to characterize creep at low stress levels. The coupling between damage and creep produced by medium and high stress levels is accounted for by introducing a damage-dependent influence function. An explicit numerical algorithm is developed to implement the proposed model in the simulations of structural response. The proposed model is systematically validated by comparing its results with experimental data, suggesting that it offers promise for capturing the long-term mechanical behavior of reinforced concrete structures.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51678439 and 51538010).

References

ACI (American Concrete Institute). 2008. Guide for modeling and calculating shrinkage and creep in hardened concrete. ACI 209.2R. Farmington Hills, MI: ACI.
Bažant, Z. P., and S. Baweja. 2000. “Creep and shrinkage prediction model for analysis and design of concrete structures: Model B3.” In Proc., Adam Neville Symp.: Creep and Shrinkage—Structural Design Effects, ACI SP-194 edited by A. Al-Manaseer, 1–84. Farmington Hills, MI: American Concrete Institute.
Bažant, Z. P., and J. C. Chern. 1985. “Strain softening with creep and exponential algorithm.” J. Eng. Mech. 111 (3): 391–415. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:3(391).
Bažant, Z. P., and W. P. Murphy. 1995. “Creep and shrinkage prediction model for analysis and design of concrete structures-Model B3.” Matériaux Constructions 28 (180): 357–365.
Bažant, Z. P., and J. Planas. 1997. Fracture and size effect in concrete and other quasibrittle materials. New York: CRC Press.
Bažant, Z. P., and S. Prasannan. 1989. “Solidification theory for concrete creep. I: Formulation.” J. Eng. Mech. 115 (8): 1691–1703. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:8(1691).
Benboudjema, F., and J. M. Torrenti. 2008. “Early-age behaviour of concrete nuclear containments.” Nucl. Eng. 238 (10): 2495–2506. https://doi.org/10.1016/j.nucengdes.2008.04.009.
Carol, I., and J. Murcia. 1989. “A model for the non-linear time-dependent behaviour of concrete in compression based on a Maxwell chain with exponential algorithm.” Mater. Struct. 22 (3): 176–184. https://doi.org/10.1007/BF02472185.
Challamel, N., C. Lanos, and C. Casandjian. 2005. “Creep damage modelling for quasi-brittle materials.” Eur. J. Mech. A-Solid 24 (4): 593–613. https://doi.org/10.1016/j.euromechsol.2005.05.003.
Clarke, G. S. 1987. “Long-term deflection of reinforced concrete flexural elements.” M.Sc. thesis, Graduate Program in Civil and Environmental Engineering, Univ. of the Witwatersrand.
fib (International Federation for Structural Concrete). 2010. Model code 2010, 132–139. Lausanne, Switzerland: fib.
Freudenthal, A. M., and F. Roll. 1958. “Creep and creep recovery of concrete under high compressive stress.” ACI J. Proc. 54 (6): 1111–1142.
Gardner, N. J. 2000. “Design provisions for shrinkage and creep of concrete.” ACI Spec. Publ. 194: 101–133.
Gardner, N. J., and M. J. Lockman. 2001. “Design provisions of shrinkage and creep of normal-strength concrete.” ACI Mater. J. 98 (2): 159–167.
Gardner, N. J., and J. W. Zhao. 1993. “Creep and shrinkage revisited.” ACI Mater. J. 90 (3): 236–246.
Geng, Y. M., W. Y. Liu, and C. H. Xia. 2013 “An experimental study on creep of high performance concrete.” [In Chinese.] Sichuan Build. Sci. 39 (01): 169–173.
Ju, J. W. 1989. “On energy-based coupled elastoplastic damage theories: Constitutive modeling and computational aspects.” Int. J. Solids Struct. 25 (7): 803–833. https://doi.org/10.1016/0020-7683(89)90015-2.
Lemaitre, J., and J. L. Chaboche. 1990. Mechanics of solid materials. London: Cambridge University Press.
Li, J., and X. D. Ren. 2009. “Stochastic damage model for concrete based on energy equivalent strain.” Int. J. Solids Struct. 46 (11–12): 2407–2419. https://doi.org/10.1016/j.ijsolstr.2009.01.024.
Li, Z. X. 1994. “Effective creep Poisson’s ratio for damaged concrete.” Int. J. Fract. 176 (2): 189–194. https://doi.org/10.1007/s10704-012-9744-9.
Luzio, G. D., and G. Cusatis. 2013. “Solidification–microprestress–microplane (SMM) theory for concrete at early age: Theory, validation and application.” Int. J. Solids Struct. 50 (6): 957–975. https://doi.org/10.1016/j.ijsolstr.2012.11.022.
Mazzotti, C., and M. Savoia. 2003. “Nonlinear creep damage model for concrete under uniaxial compression.” J. Eng. Mech. 129 (9): 1065–1075. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:9(1065).
Neville, A. M. 1971. Creep of concrete: Plain, reinforced, and prestressed. Amsterdam, Netherlands: North-Holland Pub Co.
Omar, M., A. Loukili, G. Pijaudier-Cabot, and Y. Le Pape. 2009. “Creep-damage coupled effects: Experimental investigation on bending beams with various sizes.” J. Mater. Civ. Eng. 21 (2): 65–72. https://doi.org/10.1061/(ASCE)0899-1561(2009)21:2(65).
Omar, M., G. Pijaudier-Cabot, and A. Loukili. 2003. “Numerical models for coupling creep and fracture of concrete structures.” In Proc., Computational Modelling of Concrete Structures Euro-Conf., 531–539. Boca Raton, FL: CRC Press.
Proust, E., and G. Pons. 2001. “Macroscopic and microscopic behavior of self-compacting concrete creep and shrinkage.” Proc. Concreep 6: 569–574.
Rabier, P. J. 1989. “Some remarks on damage theory.” Int. J. Eng. Sci. 27 (1): 29–54. https://doi.org/10.1016/0020-7225(89)90166-3.
Ren, X. D., S. J. Zeng, and J. Li. 2015. “A rate-dependent stochastic damage–plasticity model for quasi-brittle materials.” Comput. Mech. 55 (2): 267–285. https://doi.org/10.1007/s00466-014-1100-7.
Reviron, N., F. Benboudjema, J. M. Torrenti, G. Nahas, and A. Millard. 2007. “Coupling between creep and cracking in tension.” In Proc., 6th Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures. Catania, Italy: RILEM.
Roll, F. 1964. Vol. 9 of Long-time creep-recovery of highly stressed concrete cylinders, 95–114. Detroit: American Concrete Institute.
Ruiz, M. F., A. Muttoni, and P. G. Gambarova. 2007. “Relationship between nonlinear creep and cracking of concrete under uniaxial compression.” J. Adv. Concr. Technol. 5 (3): 383–393. https://doi.org/10.3151/jact.5.383.
Simo, J. C., and T. J. Hughes. 2006. Computational inelasticity. New York: Springer.
Simo, J. C., and J. W. Ju. 1987a. “Strain and stress-based continuum damage. Model. Part I: Formulation.” Int. J. Solids Struct. 23 (7): 821–840. https://doi.org/10.1016/0020-7683(87)90083-7.
Simo, J. C., and J. W. Ju. 1987b. “Strain- and stress-based continuum damage models. Part II: Computational aspects.” Int. J. Solids Struct. 23 (7): 841–869. https://doi.org/10.1016/0020-7683(87)90084-9.
Voyiadjis, G. Z., and T. M. Abu-Lebdeh. 1994. “Plasticity model for concrete using the bounding surface concept.” Int. J. Plast. 10 (1): 1–21. https://doi.org/10.1016/0749-6419(94)90051-5.
Voyiadjis, G. Z., and P. I. Kattan. 2009. “A comparative study of damage variables in continuum damage mechanics.” Int. J. Damage Mech. 18 (4): 315–340. https://doi.org/10.1177/1056789508097546.
Voyiadjis, G. Z., Z. N. Taqieddin, and P. I. Kattan. 2008. “Anisotropic damage–plasticity model for concrete.” Int. J. Plast. 24 (10): 1946–1965. https://doi.org/10.1016/j.ijplas.2008.04.002.
Wu, J. Y., J. Li, and R. Faria. 2006. “An energy release rate-based plastic-damage model for concrete.” Int. J. Solids Struct. 43 (3–4): 583–612. https://doi.org/10.1016/j.ijsolstr.2005.05.038.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 146Issue 5May 2020

History

Received: Jun 24, 2019
Accepted: Oct 9, 2019
Published online: Feb 21, 2020
Published in print: May 1, 2020
Discussion open until: Jul 21, 2020

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Authors

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Xiaodan Ren, Ph.D. [email protected]
Associate Professor, College of Civil Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, PR China. Email: [email protected]
Ph.D. Student, College of Civil Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, PR China. Email: [email protected]
Roberto Ballarini, Ph.D., F.ASCE [email protected]
P.E.
Thomas and Laura Hsu Professor and Chair, Dept. of Civil and Environmental Engineering, Univ. of Houston, N127 Engineering Bldg. 1, Houston, TX 77204-4003. Email: [email protected]
Xiangling Gao, Ph.D. [email protected]
Associate Professor, College of Civil Engineering, Tongji Univ., 1239 Siping Rd., Shanghai 200092, PR China (corresponding author). Email: [email protected]

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