Cyclic Analysis of RC Shear Walls, Considering Bar-Concrete Interaction

Document Type : Research Note


Persian Gulf University, Bushehr


In this paper, the nonlinear behavior of reinforced concrete shear wall with consideration of bond-slip effect between the bars and surrounding concrete is investigated. Bar and concrete stress-strain relations, the bond stress-slip relation and the shear stress-strain relation as well as their cyclic behavior including the strength degradation and stiffness degradation are adopted known specifications. In the modeling, shear wall is divided into two types of joint element and RC element. In RC element, the effect of shear deformation is considered and based on Timoshenko beam theory the effect of shear has been considered during the calculation. A numerical model based on the fiber method is used for nonlinear analysis of reinforced concrete shear wall. Separate degrees of freedom are used for the steel and concrete parts to allow for the difference in displacement between the reinforcing bars and the surrounding concrete. The effect of bond-slip has been considered in the formulation of an RC element by replacing the perfect bond assumption from the fiber analysis method. The effects of embedded length and pull-out force on the seismic behavior of a reinforced concrete shear wall were investigated. The reliability of the method has been assessed through a comparison of numerical and experimental results for a variety of specimens tested under cyclic loading. A good agreement between experimental and analytical results is obtained for both cases of strength and stiffness during the analysis.


  1. Orakcal, K., Massone, L.M., and Wallace, J.W. (2006) Analytical Modelling of Reinforced Concrete Walls for Predicting Flexural and Coupled Shear-Flexural Responses. Department of Civil and Environmental Engineering University of California, Los Angeles PEER Report.
  2. Kabeyasawa, T., Shiohara, H., Otani, S., and Aoyama, H. (1983) Analysis of the full-scale seven-story reinforced concrete test structure. Journal of the Faculty of Engineering, University of Tokyo, 37(2), 431-478.
  3. Vulcano, A. and Bertero, V.V. (1986) Nonlinear analysis of RC structural walls. Proceedings of 8th European Conference on Earthquake Engineering, V.3. Lisbon, Portugal, 6.5/1-6.5/8.
  4. Vulcano, A., Bertero, V.V., and Colotti, V. (1988) Analytical modeling of RC structural walls. Proceedings of 9th World Conference on Earthquake Engineering, V. 6, Tokyo-Kyoto, Japan,
  5. -46.
  6. Fischinger, M., Vidic, T., Selih, J., Fajfar, P., Zhang, H.Y., and Damjanic, F.B. (1990) 'Validation of a macroscopic model for cyclic response prediction of RC walls'. In: Bicanic, N. B. and Mang, H. (eds.), Computer Aided Analysis and Design of Concrete Structures. V. 2, Pineridge Press, Swansea, 1131-1142.
  7. Fischinger, M., Vidic, T. and Fajfar, P. (1992) 'Nonlinear Seismic Analysis of Structural Walls Using the Multiple-Vertical-Line-Element Model'. In: Nonlinear Seismic Analysis of RC Buildings, H. Krawinkler and P. Fajfar (eds.), Elsevier Science Publishers Ltd, London and New York, 191-202.
  8. Massone, L.M. and Wallace, J.W. (2004) Load deformation responses of slender reinforced concrete walls. ACI Structural Journal, 101(1), 103-113.
  9. Galal, K. and El-Sokkary, H. (2008) Advancement in modelling of RC shear walls. Proceedings of 14th World Conference on Earthquake Engineering, Beijing, China.
  10. Monti, G. and Spacone, E. (2000) Reinforced concrete fiber beam element with bond-slip. Journal of Structural Engineer ing, ASCE, 126(6), 654-661.
  11. Kotronis, P., Ragueneau, F., and Mazars, J.A. (2005) Simplified model strategy for R/C walls satisfying PS92 and EC8 design. Journal of Engineering Structures, 27(8), 1197-1208.
  12. Belmouden, Y. and Lestuzzi, P. (2007) Analytical model for predicting nonlinear reversed cyclic behavior of reinforced concrete structural walls. Journal of Engineering Structures, 29(7), 1263-1276.
  13. Hashemi, S.SH. and Vaghefi, M. (2012) Investigation of the effect of a bar's inadequate embedded length on the P-M interaction curve of reinforced concrete columns with rectangular sections. Turkish Journal of Engineering and Environmental Sciences, 36, 109-119.
  14. Hashemi, S.SH., Tasnimi, A.A., and Soltani, M. (2009) Nonlinear cyclic analysis of reinforced concrete frames, utilizing new joint element. Journal of Scientia Iranica, Transaction A, 16(6), 4901-501.
  15. Hashemi, S.SH., Tasnimi, A.A., and Soltani, M. (2011) Nonlinear analysis of three dimensional reinforced concrete frames, considering bar concrete interaction. Journal of Faculty of Engineering (JFE), ISSN: 0803-1026, 45(2), 141-154 (in Persian).
  16. Limkatanyu, S. and Spacone, E. (2002) Reinforced concrete frame element with bond interfaces. Part I: displacement-based, force--based, and mixed formulations. Journal of Structural Engineering, ASCE, 128(3), 346-355.
  17. Kwon, Y.W. and Bang, H. (2000) The Finite Element Method Using MATLAB. Second edition, CRC press LCC publisher, USA.
  18. MathWorks, MATLAB (2010) The Language of Technical Computing. Version 7.11.0. (R2010a).
  19. Park, R., Kent, D.C., and Sampton, R.A. (1972) Reinforced concrete members with cyclic loading. Journal of the Structural Division, ASCE, 98(7), 1341-1360.
  20. Scott, B.D., Park, R., and Priestley, M.J.N. (1982) Stress-strain behavior of concrete confined by overlapping hoops at low and high strain rates. ACI Journal, 79(1), 13-27.
  21. Welch, G.B. and Haisman, B. (1969) Fracture Toughness Measurements of Concrete. Report No. R42, Sydney: University of New South Wales.
  22. Karsan, I.D. and Jirsa, J.O. (1969) Behavior of concrete under compressive loading. Journal of Structural Division, ASCE, 95(12), 2543-2563.
  23. Kwak, H.G. and Kim, S.P. (2002) Cyclic moment curvature relation of an RC beam. Magazine of Concrete Research, 54(6), 435-447.
  24. Giuffre, A. and Pinto, P.E. (1970) Il compor tamento del cemento armato per sollecitazzioni cicliche di for te intensita. Giornale del Genio Civile, Maggio, (in Italian).
  25. Menegoto, M. and Pinto, P. (1973) Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending. Symp. Resistance and Ultimate Deformability of Structures Acted on by Well Defined Repeated Loads, IABSE Reports, Vol. 13, Lisbon.
  26. Filippou, F.C., Popov, E. and Bertero, V. (1983) Effect of Bond Deterioration on Hysteretic
  27. Behavior of Reinforced Concrete Joints. Report No. EERC 83-19, Earthquake Engineering Research Center, University of California, Berkeley.
  28. Eligehausen, R., Popov, E., and Bertero, V. (1983) Local Bond Stress-Slip Relationship of
  29. Deformed Bars under Generalized Excitations. Report UCB/EERC-83/23, Earthquake Engineering
  30. Center, University of California, Berkeley.
  31. Gan, Y. (2000) Bond Stress and Slip Modeling in Nonlinear Finite Element Analysis of Reinforced Concrete Structures. A Thesis Submitted for Degree of Master of Applied Science Graduate, Department of Civil Engineering, University of Toronto.
  32. Anderson, M., Lehman, D. and Stanton, J. (2008) A cyclic shear stress-strain model for joints without transverse reinforcement. Engineering Structures, 30, 941-954.
  33. Dazio, A., Beyer, K., and Bachmann H. (2009) Quasi-static cyclic tests and plastic hinge analysis of RC structural walls. Engineering Structures, 31, 1556-1571.
  34. Comite Euro International du Beton (1978) CEB-FIP Model Code for Concrete Structures. Paris.