In this research, nonlinear dynamic analysis of concrete shear wall using a new nonlinear model based on damage mechanics approach and considering bond slip effects is presented. Nonlinear behavior of concrete is modeled by a rotational smeared crack model using damage mechanics approach. The proposed model considers major characteristics of the concrete subjected to two and three dimensional loading conditions. These characteristics are pre-softening behavior, softening initiation criteria and fracture energy conservation. The model was used in current research analysis after verification by some available numerical tests. Reinforcements are modeled by a bilinear relationship using two models: Discrete truss steel element and Smeared model. In Discrete model the effects of bond-slide between concrete and rebar is mentioned using the bond-link element model concept. Based on the presented algorithms and methodology, an FEM code is developed in FORTRAN. The validity of the proposed models and numerical algorithms has been checked using the available experimental results. Finally, numerical simulation of CAMUS I and CAMUS III reinforced concrete shear walls is carried out. Comparisons of deduced results confirm the validity of proposed models. The obtained results, both in the expected displacements and crack profiles for the walls, show a good accuracy with respect to the experimental results. Also, using discrete truss element model with respect to the smeared steel model leads to increasing the accuracy of maximum displacement response to 7% in analysis.


1. Ngo, D., and Scordelis, A. C., “Finite Element Analysis of Reinforced Concrete Beams”, AC1 Journal, Vol. 64, No. 3, pp. 152- 163 ,1967.
2. Rashid, Y. R., “Ultimate Strength Analysis of Prestressed Concrete Pressure Vessels”, Nuclear Engineering and Design, Vol. 7, No.4, pp. 334-344,
3. Gann, Y., “Bond Stress and Slip Modeling in Non-Linear Finite Element Analysis of Reinforced Concrete Structures”, M.Sc. Thesis, University of Toronto, 2000.
4. Rabczuk, T., Akkermann, J., and Eibl, J., “A Numerical Model for Reinforced Concrete Structures”, International Journal of Solids and Structures, Vol. 2, pp. 1327-1354, 2005.
5. Soh, C. K., Dong, X. and Zheng Lu, X., “Damage Model Based Reinforced Concrete Element”, Journal of Material in Civil Engineering, ASCE, Vol. 15, No. 4, pp. 371-380, 2003.
6. Khalfallah, S., “Tension Stiffening Bond Modeling of Flexural Reinforced Concrete Beams”, Journal of Civil Engineering and Management, Vol. 148 , No. 14 , pp. 131-137, 2008.
7. Lle, N., Reynouard, J. M., and Georgin, J. F., “Nonlinear Response and Modeling of RC Walls Subjected to Seismic Loading”, ISET Journal of Earthquake Technology, Vol. 39, pp. 1-19, 2002.
8. Maekawa, K., Takashima, K., Kitada, Y., and Kawahara, S., “Results of the CAMUS-I Test Simulation by the Japanese Team”, 18th International Conference on Structural Mechanics in Reactor Technology (SMiRT 18), Beijing, China, August, 2005.
9. kazas, I., Yakut, A., and Golkan, P., “Numerical Simulation of Dynamic Shear Wall Tests: A Benchmark Study”, Journal of Computers and Structures, Vol. 84, No. 8, pp. 549-562, 2006.
10. Moradloo, J., Ahmadi, M. T., “Nonlinear Dynamic Analysis of Concrete Arch Dam”, 14 World Conference of Earthquake Engineering, Beijing, China, 2008.
11. Faria, R., Oliver, J., and Cevera, M., “A Strain-Based Plastic Viscose Damage Model for Massive Concrete Structures”, International Journal of Solids and Structures, Vol. 35, No. 14, pp. 1533-1558, 1998.
12. Filippou, F. C., and Kwak, H. C., “Finite Element Analysis of Reinforced Concrete Structures under Monotonic Loads”, Department of Civil Engineering UCB, California, USB/SEMM-90/14 ,1990.
13. Maekawa, K., Plamanma, A., and Okamora, H., Analysis and modeling of reinforced concrete, First edition 2003, ISBN O-415-27126-6, 2003.
14. Lle, N., and Reynouard, J. M., “Seismic Behavior of R/C Shear Wall Structures Designed According to the French PS92 and EC8 CODES: A Comparison between Shaking-Table Response Data and 2D Modeling”, 12th World Conference on Earthquake Engineering, Auckland, New Zealand, 2000.
15. Mirzabozorg, G., “Non-Linear Behavior of Mass Concrete in Three-Dimensional Problems using a Smeared Crack Approach”, Earthquake Engineering and Structural Dynamics, Vol. 34, pp. 247-269, 2005.
16. Lee, J., and Fenves, G. L., “A Plastic–Damage Concrete Model for Earthquake Analysis of Dams”, Earthquake Engineering and Structural Dynamics, Vol. 27, pp. 937-965, 1998.

تحت نظارت وف ایرانی