This question is about to investigate how concrete strength affects the uni-axial to bi-axial compressive stress ratio (a parameter for the plastic behavior of concrete in concrete damaged plasticity model) using ABAQUS.
**Concrete Damage Plasticity Model:
[1] http://www.ifb.ethz.ch/education/msc-courses/msc-mechanics-building-materials.html >>> Just take a look at CDPM.
[2]Lee, J., Gregory, L.F. 1998. Plastic-damage model for cyclic loading of concrete structures. J. Eng. Mech., 124: 892-900.
[3]Lubliner, J., Oliver, J., Oller, S., Oñate , E.1989. A plastic-damage model for concrete. Int. J. Solids Structures, Vol. 25 No. 3: 299-326.
[4]Kupfer, H., Hilsdorf, H.K., Rusch, H. 1969. Behavior of Concrete under Biaxial Stresses. ACI Journal, No. 66-52: 656-666.
[5] Abaqus Analysis User's Guide >>>23.6.3 Concrete damaged plasticity.
***CDPM parameters
[6]Wahalathantri, B.L., Thambiratnam, D.P., Chan, T.H.T, & Fawzia, S. 2011. A material model for flexural crack simulation in reinforced concrete elements using Abaqus. In Proceedings of the First International Conference on Engineering, Designing and Developing the Built Environment for Sustainable Wellbeing, 27-29 April 2011, Qld, Australia.
[7]Tomasz, J., Tomasz, L., 2005. Identification of Parameters of Concrete Damage Plasticity Constitutive Model.
FOUNDATION OF CIVIL AND ENVIRONMENTAL ENGINEERING, No.6: 53-69.
[8]Szczecina, M., Winnicki, A. 2015. Calibration of the CDP model parameters in Abaqus. The 2015 World Congress on Advances in Structural Engineering and Mechanics (ASEM15), 25-29 August, 2015, Incheon, Korea.
***For building compression and tension behavior:
[9]Hsu, L.S., HsuT, C.-T.T. 1994. Complete stress-strain behavior of high-strength concrete under compression. Magazine of Concrete Research, 46, No. 169: 301-312.
[10]Aslani, F., Jowkarmeimandi, R. 2012. Stress-strain model for concrete under cyclic loading. Magazine of Concrete Research, 64(8): 673-685.
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