A dynamic constitutive model for reinforced concrete based on micro-plane model M4 for plain concrete was presented. The model is established based on two hypotheses as strain being parallel coupling and macro stress being superposition of those on all microplanes. The constitutive model of Cowper-Symonds considering strain rate effect is adopted for steel. This model is adapted for explicit computational algorithm. This model is calibrated and verified by comparison with test data.
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References
Bažant Z.P. and Gambarova P. (1984). Crack shear in concrete: Crack band microplane model. J. Struct. Engrg., ASCE, 110(9), 2015–2035.
Bažant Z.P., Xiang Y. and Prat P.C. (1996). Microplane model for concrete. I: Stress-strain boundaries and finite strain. J. Engrg. Mech., ASCE, 122(3), 245–254.
Bažant Z.P., et.al.(2000), Microplane model M4 for concrete, I: Formulation with work-conjugate deviatoric stress, J. Engrg. Mech., 126(9), 944–953.
Bažant Z.P., Ferhun C. and Caner (2005). Microplane model M5 with kinematic and static constraints for concrete fracture and anelasticity. I: Theory, J. Engrg. Mech., 131(1), 31–40.
Guo Z., Shi X. (2003). Reforced Concrete Principle and Analysis. Beijing, Tsinghua Publisher, pp. 319.
Krieg R.D., Key S.W. (1976). Implement of time dependent plastic theory into structural computer programs. Constitutive equations in viscoplasticity. Computational and Engineering Aspects, ASME, 20, 125–137.
Salim Razvi. (1995). Confinement of normal and high-strength concrete columns (D). University of Ottawa, Ottawa, Canada.
Zineddina M. (2002). Behavior of structure concrete slabs under impact loading (D). The Pennsylvania State University.
Zineddina M. and Krauthammer T. (2007). Dynamic response and behavior of reinforced concrete slabs under impact loading. Int. J. Impact Engrg., 34, 1517–1534.
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Wang, J., Ou, B., Cheng, W., Jia, M. (2009). A Micro-Plane Model for Reinforced Concrete under Static and Dynamic Loadings. In: Yuan, Y., Cui, J., Mang, H.A. (eds) Computational Structural Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2822-8_47
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DOI: https://doi.org/10.1007/978-90-481-2822-8_47
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2821-1
Online ISBN: 978-90-481-2822-8
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