FE modeling of Partially Steel-Jacketed (PSJ) RC columns using CDP model

  • Ferrotto, Marco F. (Department of Civil, Environmental, Aerospace, Materials Engineering, University of Palermo) ;
  • Cavaleri, Liborio (Department of Civil, Environmental, Aerospace, Materials Engineering, University of Palermo) ;
  • Trapani, Fabio Di (Department of Structural, Geotechnical and Building Engineering, Polytechnic of Turin)
  • Received : 2018.02.23
  • Accepted : 2018.05.23
  • Published : 2018.08.25


This paper deepens the finite element modeling (FEM) method to reproduce the compressive behavior of partially steel-jacketed (PSJ) RC columns by means of the Concrete Damaged Plasticity (CDP) Model available in ABAQUS software. Although the efficiency of the CDP model is widely proven for reinforced concrete columns at low confining pressure, when the confinement level becomes high the standard plasticity parameters may not be suitable to obtain reliable results. This paper deals with these limitations and presents an analytically based strategy to fix the parameters of the Concrete Damaged Plasticity (CDP) model. Focusing on a realistic prediction of load-bearing capacity of PSJ RC columns subjected to monotonic compressive loads, a new strain hardening/softening function is developed for confined concrete coupled with the evaluation of the dilation angle including effects of confinement. Moreover, a simplified efficient modeling approach is proposed to take into account also the response of the steel angle in compression. The prediction accuracy from the current model is compared with that of existing experimental data obtained from a wide range of mechanical confinement ratio.


  1. ABAQUS (2013), ABAQUS Theory and User Manuals, Version 6.13-1.
  2. Adam, J.M., Ivorra, S., Gimenez, E., Moragues, J.J., Mirigall, C. and Calderon, P.A. (2007), "Behaviour of axially loaded RC columns strengthened by steel angles and strips", Steel Compos. Struct., 7(5), 405-419.
  3. Badalamenti, V., Campione, G. and Mangiavillano, M.L. (2010), "Simplified model for compressive behavior of concrete columns strengthened by steel angles and strips", J. Eng. Mech., ASCE, 136(2), 230-238.
  4. Barasan, H. (2015), "Dynamic behavior investigation of scale building renovated by repair mortar", Comput. Concrete, 16(4), 531-544.
  5. Behfarnia, K. and Shirneshan, S. (2017), "A numerical study on behavior of CFRP strengthened shear wall with opening", Comput. Concrete, 19(2), 179-189.
  6. Belal, M.F., Mohamed, H.M. and Morad, S.A. (2015), "Behavior of reinforced concrete columns strengthened by steel jacket", HBRC J., 11, 201-212.
  7. Campione, G. (2013), "RC columns strengthened with steel angles and battens: Experimental results and design procedure", Pract. Period. Struct. Des. Constr., ASCE, 18(1), 1-11.
  8. Campione, G., Cavaleri, L., Di Trapani, F. and Ferrotto, M.F. (2017), "Frictional effects on structural behavior of no-end-connected steel-jacketed RC columns: Experimental results and new approaches to model numerical and analytical response", J. Struct. Eng., ASCE, 143(8), 04017070.
  9. Campione, G., Cavaleri, L., Ferrotto, M.F., Macaluso, G. and Papia, M. (2016), "Efficiency of stress-strain models of confined concrete with and without steel jacketing to reproduce experimental results", Open Constr. Build. Technol. J., 10 (Suppl 1: M4), 65-86.
  10. Cavaleri, L., Di Trapani, F., Ferrotto, M.F. and Davi, L. (2017), "Stress-strain models for normal and high strength confined concrete: Test and comparisons of literature models reliability in reproducing experimental results", Ingegneria Sismica, 34(Special Issue B), 114-137.
  11. Chen, Y., Feng, J. and Yin, S. (2012), "Compressive behavior of reinforced concrete columns confined by multi-spiral hoops", Comput. Concrete, 9(5), 359-373.
  12. Chen, Y., Sareh, P. and Feng, J. (2015), "Effective insights into the geometric stability of symmetric skeletal structures under symmetric variations", Int. J. Solid. Struct., 69, 277-290.
  13. Chen, Y., Sareh, P., Feng, J. and Sun, Q. (2017), "A computational method for automated detection of engineering structures with cyclic symmetries", Comput. Struct., 191, 153-164.
  14. Chi, Y., Yu, M., Huang, L. and Xu, L. (2017), "Finite element modeling of steel-polypropylene hybrid fiber reinforced concrete using modified concrete damaged plasticity", Eng. Struct., 148, 23-35.
  15. Elwi, A.A. and Murray, D.W. (1979), "A 3D hypoelastic concrete constitutive relationship", J. Eng. Mech., 105, 623-641.
  16. Ferrotto, M.F., Fischer, O. and Niedermeier, R. (2017), "Experimental investigation on the compressive behavior of short-term preloaded carbon fiber reinforced polymer-confined concrete columns", Struct. Concrete. DOI: 10.1002/suco.201700072.
  17. Genikomsou, A.S. and Polak, M.A. (2015), "Finite element analysis of punching shear of concrete slabs using damaged plasticity model in ABAQUS", Eng. Struct., 98, 38-48.
  18. Gimenez, E., Adam, J.M., Ivorra, S., Moragues, J.J. and Calderon, P.A. (2009), "Full-scale testing of axially loaded RC columns strengthened by steel angles and strips", Adv. Struct. Eng., 12(9), 169-181.
  19. Gupta, P., Verma, V.K., Kubba, Z. and Singh, H. (2015), "Effect of tube area on the behavior of concrete filled tubular colums", Comput. Concrete, 15(2), 141-166.
  20. Han, L.H., Yao, G.H. and Tao, Z. (2007), "Performance of concrete-filled thin-walled steel tubes under pure torsion", Thin Wall. Struct., 45, 24-36.
  21. Hany, N.F., Hantouche, E.G. and Harajli, M.H. (2016), "Finite element modeling of FRP-confined concrete using modified concrete damaged plasticity", Eng. Struct., 125, 1-14.
  22. Hoang, A.L. and Fehling, E. (2017), "Numerical analysis of circular steel tube confined UHPC stub columns", Comput. Concrete, 19(3), 263-273.
  23. Jin, N., Tian, Y. and Jin, X. (2007), "Numerical simulation of fracture and damage behaviour of concrete at different ages", Comput. Concrete, 4(3), 221-241.
  24. Mahdikhani, M., Naderi, M. and Zekavati, M. (2016), "Finite element modeling of the influence of FRP techniques on the seismic behavior of historical arch stone bridge", Comput. Concrete, 18(1), 99-112.
  25. Mander, J.B., Priestley, M.J. and Park, R.N. (1988), "Theoretical Stress-Strain Model for Confined Concrete", J. Struct. Eng., ASCE, 114(8), 1804-1826.
  26. Ozbakkaloglu, T., Gholampour, A. and Lim, J.C. (2016), "Damage-plasticity model for FRP-confined normal-strength and high-strength concrete", J. Compos. Constr. ASCE, 20(6), 04016053.
  27. Papanikolaou, V.K. and Kappos, A.J. (2007), "Confinement-sensitive plasticity constitutive model for concrete in triaxial compression", Solid. Struct., 44(21), 7021-7048.
  28. Popovics, S. (1973), "A numerical approach to the complete stress-strain curve of concrete", Cement Concrete Res., 3(5), 583-599.
  29. Shafei, E. and Rahmdel, J.M. (2017), "Plasticity constitutive modeling of partially confined concrete with steel jacketing", KSCE J. Civ. Eng., 21(7), 2738-2750.
  30. Tao, Z., Wang, Z.B. and Yu, Q. (2013), "Finite element modelling of concrete-filled steel stub columns under axial compression", J. Constr. Steel Res., 89, 121-131.
  31. Tarabia, A.M. and Albakry, H.F. (2014), "Strengthening of RC columns by steel angles and strips", Alexandria Eng. J., 53, 615-626.
  32. Teng, J.G., Huang, Y.L., Lam, L. and Ye, L.P. (2007), "Theoretical model for fiber-reinforced polymer-confined cConcrete", J. Compos. Constr., ASCE, 11, 201-210.
  33. Yu, T, Teng, J.G., Wong, Y.L. and Dong, S.L. (2010), "Finite element modeling of confined concrete-II: Plastic-damage model", Eng. Struct., 32, 680-591.