Analysis of damage-plasticity model of concrete under uniaxial compression loading

  • Authors

    • Mohammad Rafiqul Islam Shahjalal University of Science and Technology
    • Abbas Ali Shahjalal University of Science and Technology
    • Md. Jahir Bin Alam Shahjalal University of Science and Technology
    • Tanvir Ahmad Shahjalal University of Science and Technology
    • Salman Sakib Shahjalal University of Science and Technology
    2021-01-21
    https://doi.org/10.14419/ijet.v10i1.30878
  • Concrete Damage, Concrete Elasticity, Concrete Damage-Plasticity Model, CEB-FIP Model Code Equation.
  • Concrete is a quasi-brittle material and shows different behavior in compression and tension. It shows elastic behavior at initial stage and damage-plasticity behavior beyond elastic limit. Therefore, development of material behavior model of concrete is a complex phenomenon. In this study, concrete damage plasticity theory has been described under experiment on concrete cylinder considering uni-axial compression loading and interpreted with analytical data calculated using CEB-FIP model code equation. The code has divided the stress-strain curve for concrete compression into three sections according to concrete’s elastic and non-elastic behaviors. Those three sections have been considered to calculate analytical data. In experiment, concrete behavior has been observed in two phases. The damage value for different stresses at the various points on the stress strain curve has been calculated. According to analytical data, the concrete shows elastic behavior up to 8.3MPa stress point and no damage occur in the concrete within the limit. However, in experimental data, concrete shows elastic behavior up to only 2.28MPa and damage occurred beyond the stress. Finally, the percentage of damage of concrete due to compression obtained from analysis and experiment has been assessed and compared. Above 32 percent of concrete damage is found for 22.5 MPa in both cases.

     

     

  • References

    1. [1] Ananiev, S., Ozˇbolt, J. (2004) ‘Plastic-damage model for concrete in principal directions’, In: Li, V., Leung, C.K.Y., Willam, K.J., Billington, S.L. (Eds.), Fracture Mechanics of Concrete Structures, pp. 271–278.

      [2] ASTM C (1992) 127-88, Standard test method for specific gravity, and absorption of coarse aggregate. Annual book of ASTM standards. Vol 04.02

      [3] ASTM C (1996) 39-96, Standard test method for compressive strength of cylindrical concrete specimens. Annual book of ASTM standards. Vol 04.02

      [4] ASTM C (2001) 128-01, Standard test method for density, relative density (specific gravity), and absorption of fine aggregate. Annual book of ASTM standards. Vol 04.02

      [5] ASTM C (2002) 136, Standard test method for sieve analysis of fine and coarse aggregates. Annual book of ASTM standards. Vol 04.02

      [6] ASTM C (2002) 150, Standard Specification for Portland cement. Annual book of ASTM standards. Vol 04.02

      [7] ASTM C (2003) 31-03a, Standard Practice for Making and Curing Concrete Test Specimens in the Field. Annual book of ASTM standards. Vol 04.02

      [8] ASTM C (2004) 94-04, Standard Specification for ready mix concrete. Annual book of ASTM standards. Vol 04.02

      [9] ASTM C (2008) 33, Standard Specification for concrete aggregates. Annual book of ASTM standards. Vol 04.02

      [10] ASTM C (2010) 143-10a, Standard Test Method for Slump Hydraulic-cement Concrete. Annual book of ASTM standards. Vol 04.02

      [11] Bazant, Z.P. (1978) ‘Endochronic inelasticity and incremental plasticity’, International Journal of Solids Structures, Vol 14, No 9, pp. 691–714. https://doi.org/10.1016/0020-7683(78)90029-X.

      [12] BNBC (2006), Bangladesh National Building Code. Vol 2

      [13] Carol, I., Rizzi, E., Willam, K.J. (2001), ‘On the formulation of anisotropic elastics degradation. II. Generalized pseudo-Rankine model for tensile damage’, International Journal of Solids and Structures, Vol 38, No 4, pp. 519–546. https://doi.org/10.1016/S0020-7683(00)00031-7.

      [14] CEB-FIP (1993), Model Code 1990, Thomas Telford, London.

      [15] Chen, A.C., Chen, W.F. (1975) ‘Constitutive relations for concrete’, Journal of the Engineering Mechanics Division, ASCE, Vol 101, No 4, pp. 465–481.

      [16] Chen, E.S., Buyukozturk, O. (1985) ‘Constitutive model for concrete in cyclic compression’, Journal of the Engineering Mechanics Division, ASCE, Vol 111, No 6 pp. 797–814. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:6(797).

      [17] Dragon, A., Mro´ z, Z. (1979) ‘A continuum model for plastic-brittle behavior of rock and concrete’, International Journal of Engineering Science, Vol 17, pp. 121–137. https://doi.org/10.1016/0020-7225(79)90058-2.

      [18] Este, G., Willam, K.J. (1994) ‘A fracture-energy based constitutive formulation for inelastic behavior of plain concrete’, Journal of Engineering Mechanics, ASCE, Vol 120, No 9, pp. 1983–2011. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:9(1983).

      [19] Gatuingt, F., Pijaudier-Cabot, G. (2002) ‘Coupled damage and plasticity modeling in transient dynamic analysis of concrete’, International Journal of Numerical and Analytical Methods in Geomechanics, Vol 26, No 1, pp. 1–24. https://doi.org/10.1002/nag.188.

      [20] Grassl, P., Lundgren, K., Gylltoft, K. (2002) ‘Concrete in compression: a plasticity theory with a novel hardening law’, International Journal of Solids and Structures, Vol 39, No 20, pp. 5205–5223. https://doi.org/10.1016/S0020-7683(02)00408-0.

      [21] Hansen, E., Willam, K., Carol, I. (2001) ‘A two-surface anisotropic damage/plasticity model for plain concrete’, in: de Borst, R., Mazars, J., Pijaudier-Cabot, G., van Mier, J.G.M. (Eds.), Fracture Mechanics of Concrete Structures. Balkema, Lisse, pp. 549–556.

      [22] Imran, I., Pantazopoulou, S.J. (1996) ‘Experimental study of plain concrete under triaxial stress’, ACI Materials Journal, Vol 93, No 6, pp. 589–601. https://doi.org/10.14359/9865.

      [23] Jason, L., Pijaudier-Cabot, G., Huerta, A., Crouch, R., Ghavamian, S. (2004) ‘An elastic plastic damage formulation for the behavior of concrete’, In: Li, V., Leung, C.K.Y., William, K.J., Billington, S.L. (Eds.), Fracture Mechanics of Concrete Structures, Ia-FraMCos-5, Vail, Colorado, USA, pp. 549–556.

      [24] Ju, J.W. (1989) ‘On energy-based coupled elastoplastic damage theories: constitutive modeling and computational aspects’, International Journal of Solids and Structures, Vol 25, No 7, pp. 803–833. https://doi.org/10.1016/0020-7683(89)90015-2.

      [25] Karabinis, A.I., Kiousis, P.D. (1994) ‘Effects of confinement on concrete columns: a plasticity theory approach’, ASCE Journal of Structural Engineering, Vol 120, No 9, pp. 2747–2767. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:9(2747).

      [26] Krajcinovic, D. (1983) ‘Continuum damage mechanics’, Applied Mechanics Reviews Vol 37, pp. 1–6.

      [27] Kratzig, W., Polling, R. (2004) ‘An elasto-plastic damage model for reinforced concrete with minimum number of material parameters’, Computers and Structures, Vol 82, No 15, pp. 1201–1215. https://doi.org/10.1016/j.compstruc.2004.03.002.

      [28] Loland, K.E. (1980) ‘Continuous damage model for load-response estimation of concrete’, Cement & Concrete Research, Vol 10, No 3, pp. 395–402. https://doi.org/10.1016/0008-8846(80)90115-5.

      [29] Lubarda, V.A., Kracjinvovic, D., Mastilovic, S. (1994) ‘Damage model for brittle elastic solids with unequal tensile and compressive strength’, Engineering Fracture Mechanics, Vol 49, pp. 681–697. https://doi.org/10.1016/0013-7944(94)90033-7.

      [30] Lubliner, J., Oliver, J., Oller, S., Onate, E. (1989) ‘A plastic-damage model for concrete’, International Journal of Solids Structures, Vol 25, No 3, pp. 299–326. https://doi.org/10.1016/0020-7683(89)90050-4.

      [31] Menetrey, Ph., Willam, K.J. (1995) ‘Triaxial failure criterion for concrete and its generalization’, ACI Structural Journal, Vol 92, No 3, pp. 311–318. https://doi.org/10.14359/1132.

      [32] Neville, A.M (1963) ‘Properties of Concrete’, Pearson Education, NJ.

      [33] Onate, E., Oller, S., Oliver, S., Lubliner, J. (1988) ‘A constitutive model of concrete based on the incremental theory of plasticity’, Engineering Computations, Vol 5, No 4, pp. 309–319. https://doi.org/10.1108/eb023750.

      [34] Ortiz, M., Popov, E.P. (1982) ‘Plain concrete as a composite material’, Mechanics of Material, Vol 1, pp. 139–150. https://doi.org/10.1016/0167-6636(82)90042-4.

      [35] Resende, L., Martin, J.B. (1984), ‘A progressive damage continuum model for granular materials’, Computer Methods in Applied Mechanics and Engineering, Vol 42, No 1, pp. 1–18. https://doi.org/10.1016/0045-7825(84)90029-X.

      [36] Salari, M.R., Saeb, S., Willam, K.J., Patchet, S.J., Carrasco, R.C. (2004) ‘A coupled elastoplastic damage model for geomaterials’, Computer Methods in Applied Mechanics and Engineering, Vol 193, pp. 2625–2643. https://doi.org/10.1016/j.cma.2003.11.013.

      [37] Schreyer, H.L. (1983) ‘Third-invariant plasticity theory for frictional materials’, Journal of Structural Mechanics, Vol 11, No 2, pp. 177–196. https://doi.org/10.1080/03601218308907440.

      [38] Simo, J.C., Ju, J.W. (1987a) ‘Strain and stress-based continuum damage. Model. Part I: formulation’, International Journal of Solids and Structures, Vol 23, No 7, pp. 821–840. https://doi.org/10.1016/0020-7683(87)90083-7.

      [39] Simo, J.C., Ju, J.W. (1987b) ‘Strain- and stress-based continuum damage models. Part II: computational aspects’, International Journal for Solids and Structures, Vol 23, No 7, pp. 841–869. https://doi.org/10.1016/0020-7683(87)90084-9.

      [40] Van Mier, J. G. M. (1984) ‘Strain-softening of concrete under multiaxial loading conditions’, PHD thesis, Techn. Univ. Eindhoven. doi.org/10.6100/IR145193

      [41] Voyiadjis, G.Z., Abu-Lebdeh, T.M. (1994) ‘Plasticity model for concrete using the bounding surface concept;, International Journal of Plasticity, Vol 10, No1, pp. 1–21. https://doi.org/10.1016/0749-6419(94)90051-5.

      [42] Willam, K.J., Warnke, E.P. (1974) ‘Constitutive model for the triaxial behavior of concrete’, In: Concrete Structures Subjected to Triaxial Stresses. Vol. 19 of IABSE Report, International Association of Bridge and Structural Engineers, Zurich, pp. 1–30.

      [43] Winkler, K. and Stangenberg, F. (2008) ‘Numerical Analysis of Punching Shear Failure of Reinforced Concrete Slabs’, ABAQUS Users’ Conference.

      [44] Pölling, R., “Eine praxisnahe, schädigungsorientierte Materialbeschreibung für Stahlbeton†Dissertation, Ruhr-Universität Bochum, 2000.

  • Downloads

  • How to Cite

    Rafiqul Islam, M., Ali, A., Jahir Bin Alam, M., Ahmad, T., & Sakib, S. (2021). Analysis of damage-plasticity model of concrete under uniaxial compression loading. International Journal of Engineering & Technology, 10(1), 29-34. https://doi.org/10.14419/ijet.v10i1.30878