Practical elasto-plastic damage model for dynamic loading and nonlinear analysis of Koyna concrete dam

Abstract

The elasto-plastic damage model for concrete under static loading, previously proposed, was extended to account for the concrete strain-rate through viscous regularization of the evolution of the damage variables. In order to describe the energy dissipation by the motion of the structure under dynamic loading, a damping model which only includes stiffness damp stress was proposed and incorporated into the proposed rate dependent model to consider the energy dissipation at the material scale. The proposed model was developed in ABAQUS via UMAT and was verified by the simulations of concrete specimens under both tension and compression uniaxial loading at different strain rates. The nonlinear analysis of Koyna concrete dam under earthquake motions indicates that adding stiffness damp into the constitutive model can significantly enhance the calculation efficiency of the dynamic implicit analysis for greatly improving the numerical stability of the model. Considering strain rate effect in the model can affect the displacement reflection of this structure for slightly enhancing the displacement of the top, and can improve the calculation efficiency for greatly reducing the cost time.

Keywords

stiffness damp / strain-rate sensitivity / concrete / constitutive model

References

[1] KanehiM B, ZienkiewiczO C, OwenD R J. The viscoplastic approach to problems of plasticity and creep involving geometric nonlinear effects [J]. International Journal for Numerical Methods in Engineering, 1978, 12: 169-181

[2] WuJ-y, LiJie. Unified plastic-damage model for concrete and its applications to dynamic nonlinear analysis of structures [J]. Structural Engineering and Mechanics, 2007, 25(5): 519-540

[3] FariaR, OliverJ, CerveraM. A strain-based plastic viscous-damage model for massive concrete structures [J]. International Journal of Solids and Structures, 1998, 35(14): 1533-1558

[4] YanD-m, LinG, WangZ, ZhangY-qiang. A study on direct tensile properties of concrete at different strain rates [J]. China Civil Engineering Journal, 2005, 38(6): 97-103

[5] WuJ-y, LiJie. Elasto-plastic damage constitutive model for concrete considering strain rate effect under dynamic loading [J]. Journal of Tongji University, 2006, 34(11): 1427-1430

[6] Jr CRAIG ROY R. Structural dynamics [M]. CHANG Ling, LI Zhen-bang, Tr. Beijing: China Communication Press, 1996: 105–115.

[7] Häußler-CombeU, KitzigM. Modeling of concrete behavior under high strain rates with inertially retarded damage [J]. International Journal of Impact Engineering, 2009, 36: 1106-1115

[8] PandeyA K, KumarR, PaulD K, TrikhaD N. Strain rate model for dynamic analysis of reinforced concrete structures [J]. Journal of Structural Engineering, 2006, 132(1): 393-401

[9] BarpiF. Impact behavior of concrete: A computational approach [J]. Engineering Fracture Mechanics, 2004, 71: 2197-213

[10] SuffisA, LubrechtT A A, CombescureA. Damage model with delay effect: Analytical and numerical studies of the evolution of the characteristic damage length [J]. International Journal of Solids and Structures, 2003, 40: 3463-76

[11] LeeJ, FanvesG L. A plastic-damage concrete model for earthquake analysis of dams [J]. Earthquake Engineering and Structural dynamics, 1998, 27(9): 937-956

[12] SuarisW, ShahS. Rate-sensitive damage theory for brittle solids [J]. ASCE Journal of Engineering Mechanics, 1984, 110(6): 985-997

[13] WuJ-y, LiJie. Elasto-plastic damage model for concrete considering damping effects [J]. Engineering Mechanics, 2006, 23(11): 116-121

[14] QiH, LiY-g, LuX-lin. A practical elastic plastic damage model for concrete [J]. Advanced Materials Research, 2011, 313: 243-249

[15] ChopraA K, ChakrabartiP. The Koyna earthquake and the damage to Koyna dam [J]. Bulletin of the Seismological Society of America, 1973, 63(2): 381-397