3-D consistency dynamic constitutive model of concrete |
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| Authors: | Shiyun Xiao Hongnan Li Gao Lin |
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| Institution: | Xiao Shiyun,Li Hongnan and Lin Gao School of Hydraulic Engineering,Dalian University of Technology,Dalian 116024,China |
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| Abstract: | Based on the consistency-viscoplastic constitutive model, the static William-Warnke model with threeparameters is modified
and a consistency-viscoplastic William-Warnke model with three-parameters is developed that considers the effect of strain
rates. Then, the tangent modulus of the consistency viscoplastic model is introduced and an implicit backward Elure iterative
algorithm is developed. Comparisons between the numerical simulations and experimental data show that the consistency model
properly provides the uniaxial and biaxial dynamic behaviors of concrete. To study the effect of strain rates on the dynamic
response of concrete structures, the proposed model is used in the analysis of the dynamic response of a simply-supported
beam and the results show that the strain rate has a significant effect on the displacement and stress magnitudes and distributions.
Finally, the seismic responses of a 278 m high arch dam are obtained and compared by using the linear elastic model, as well
as rate-independent and rate-dependent William-Warnke three-parameter models. The results indicate that the strain rate affects
the first principal stresses, and the maximal equivalent viscoplastic strain rate of the arch dam. Numerical calculations
and analyses reveal that considering the strain rate is important in the safety assessments of arch dams located in seismically
active areas. |
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| Keywords: | concrete strain rate constitutive model consistency-viscoplastic William-Warnke three-parameter model algorithm arch dams seismic responsesimulation |
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