Computers and Concrete

  • 제28권1호
  • /
  • Pages.39-53
  • /
  • 2021
  • /
  • 1598-8198(pISSN)
  • /
  • 1598-818X(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

A novel approach to the complete stress strain curve for plastically damaged concrete under monotonic and cyclic loads

  • Nghia-Nguyen, Trong (Faculty of Civil Engineering, Ho Chi Minh City Open University) ;
  • Cuong-Le, Thanh (Faculty of Civil Engineering, Ho Chi Minh City Open University) ;
  • Khatir, Samir (Department of Electrical energy, Metals, Mechanical constructions and systems, Faculty of Engineering and Architecture, Ghent University) ;
  • Wahab, Magd Abdel (CIRTech Institute, Ho Chi Minh City University of Technology (HUTECH))
  • 투고 : 2020.06.19
  • 심사 : 2021.06.09
  • 발행 : 2021.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, new analytical formulations, which can be easily applied to normal and high-strength concretes under monotonic compressive and direct tensile loads, are proposed. Moreover, plastic damage model for concrete under uniaxial cyclic loading is also employed by introducing a simple damage function. The majority of published material models focuses on a certain type of concrete based on their testing results, which can be hardly applied to other types of concrete such as normal or high strength concrete. This paper presents a novel approach that can be applied to different types of concrete and highlights that the differences among testing results may come from the variations of strain at the peak stress. The damage phenomenon of concrete is simplified by a non-linear degradation of elastic modulus function, which in turn creates a linear stress-strain relation under cyclic loading. The damage function can be easily and quickly used to calibrate concrete properties for plastic damage model, which is very useful for industrial applications. Finally, the accuracy and pre-eminence of the proposed damage model are verified through comparison with experimental data and analytical solutions.

키워드

과제정보

The authors acknowledge the financial support of VLIR-UOS TEAM Project, VN2017TEA454A103, 'An innovative solution to protect Vietnamese coastal riverbanks from floods and erosion', funded by the Flemish Government.

참고문헌

  1. Alfarah, B., Almansa, F.L. and Oller, S. (2017), "New methodology for calculating damage variables evolution in Plastic Damage Model for RC structures", Eng. Struct., 132, 70-86. https://doi.org/10.1016/j.engstruct.2016.11.022.
  2. Al-Rub, A. and Kim, S.M. (2010), "Computational applications of a coupled plasticity-damage constitutive model for simulating plain concrete fracture", Eng. Fract. Mech., 77, 1577-1603. https://doi.org/10.1016/j.engfracmech.2010.04.007.
  3. Barr, B. and Lee, M.K. (2003), "Modelling the strain-softening behaviour of plain concrete using a double-exponential model", Mag. Concrete, 55(4), 343-353. https://doi.org/10.1680/macr.2003.55.4.343.
  4. Carreira, D.J. and Chu, K.H. (1985), "Stress-strain relationship for plain concrete in compression", ACI J., 82(6), 797-804.
  5. CEB-FIP (2010), Model Code 2010, Thomas Telford, London.
  6. Chen, Z., Fu, C., Ling, Y. and Jin, X. (2020), "Dynamic fracture catastrophe model of concrete beam under static load", Comput. Concrete, 25(6), 517-523. https://doi.org/10.12989/cac.2020.25.6.517.
  7. Du, J., Yon, J.H., Hawkins, N.M., Arakawa, K. and Kobayashi, A.S. (1992), "Fracture process zone for concrete for dynamic loading", ACI J., 89(3), 252-258.
  8. Finozzi, I.B.N., Berto, L. and Saetta, A. (2015), "Structural response of corroded RC beams: a comprehensive damage approach", Comput. Concrete, 15(3), 411-436. https://doi.org/10.12989/cac.2015.15.3.411.
  9. Foote, R.M.L., Mai, Y.W. and Cotterell, B. (1986), "Crack growth resistance curves in strain-softening materials", J. Mech. Phys. Solid., 34(6), 593-607. https://doi.org/10.1016/0022-5096(86)90039-6.
  10. Gopalaratnam, V.S. and Shah, S.P. (1985), "Softening response of plain concrete in direct tension", ACI J., 82(3), 310-323.
  11. Hillerborg, A., Modeer, M. and Petersson, P.E. (1976), "Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements", Cement Concrete Res., 6, 773-782. https://doi.org/10.1016/0008-8846(76)90007-7.
  12. Islam, A.B.M. (2020), "Computer aided failure prediction of reinforced concrete beam", Comput. Concrete, 25(1), 67-73. https://doi.org/10.12989/cac.2020.25.1.067.
  13. Karsan, L.D. and Jirsa, J.O. (1969), "Behavior of concrete under compressive loadings", J. Struct. Div., ASCE, 95(12), 2535-2563. https://doi.org/10.1061/JSDEAG.0002424.
  14. Kumar, P. (2004), "A compact analytical material model for unconfined concrete under uni-axial compression", Mater. Struct., 37, 585-590. https://doi.org/10.1007/BF02483287.
  15. Lee, J. and Fenves, G.L. (1998), "Plastic-damage model for cyclic loading of concrete structures", Eng. Mech., 124(8), 892-900. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:8(892).
  16. Liaw, B.M., Jeang, F.L., Du, J.J., Hawkins, N.M. and Kobayashi, A.S. (1990), "Improved nonlinear model for concrete fracture", J. Eng. Mech., 116(2), 429-445. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:2(429).
  17. Lu, Z.H. and Zhao, Y.G. (2010), "Empirical stress-strain model for unconfined high-strenth concrete under uniaxial compression", J. Mater. Civil Eng., 22, 1181-1186. https://doi.org/10.1061/(ASCE)MT.1943-5533.0000095.
  18. Markovich, N., Kochavi, E. and Ben-Dor, G. (2011), "An improved calibration of the concrete damage model", Finite Elem. Anal. Des., 47, 1280-1290. https://doi.org/10.1016/j.finel.2011.05.008,
  19. Mazars, J. and Pijaudier-Cabot, G. (1989), "Continuum damage theory-application to concrete", J. Eng. Mech., ASCE, 115(2), 345-65. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:2(345).
  20. Park, R. and Paulay, T. (1975), "Reinforced concrete structures", Department of Civil Engineering, University of Canterbury, New Zealand, 11-43.
  21. Pituba, J.J. (2015), "A damage model formulation: unilateral effect and RC structures analysis", Comput. Concrete, 15(5), 709-733. https://doi.org/10.12989/cac.2015.15.5.709.
  22. Popovics, S. (1973), "A numerical approach to the complete stress-strain curve of concrete", Cement Concrete Res., 3(5), 583-599. https://doi.org/10.1016/0008-8846(73)90096-3.
  23. Rabczuk, T. and Belytschko, T. (2004), "Cracking particles: a simplified meshfree method for arbitrary evolving cracks", Int. J. Numer. Meth. Eng., 61(13), 2316-2343. https://doi.org/10.1002/nme.1151.
  24. Rabczuk, T. and Belytschko, T. (2007), "A three-dimensional large deformation meshfree method for arbitrary evolving cracks", Comput. Meth. Appl. Mech. Eng., 196(29-30), 2777-2799. https://doi.org/10.1016/j.cma.2006.06.020.
  25. Rabczuk, T., Zi G., Bordas S. and Nguyen-Xuan. H. (2008), "A geometrically non-linear three-dimensional cohesive crack method for reinforced concrete structures", Eng. Fract. Mech., 75(16), 4740-4758. https://doi.org/10.1016/j.engfracmech.2008.06.019.
  26. Rabczuk, T., Zi G., Bordas S., and Nguyen-Xuan. H. (2010), "A simple and robust three-dimensional cracking-particle method without enrichment", Comput. Meth. Appl. Mech. Eng., 199(37-40), 2437-2455. https://doi.org/10.1016/j.cma.2010.03.031.
  27. Reinhardt, H.W. (1985), "Crack softening zone in plain concrete under static loading", Cement Concrete Res., 115, 42-52. https://doi.org/10.1016/0008-8846(85)90007-9.
  28. Reinhardt, H.W., Cornelisse, H.A.W. and Hordijk, D.K. (1986), "Tensile tests and failure analysis of concrete", J. Struct. Eng., 112(11), 2462-2477. https://doi.org/10.1061/(ASCE)0733-9445(1986)112:11(2462).
  29. Roelfstra, P.E. and Wittmann, F.H. (1986), "Numerical method to link strain softening with failure of concrete", Fracture Toughness and Fracture Energy of Concrete, Ed. F.H. Wittmann, Elsevier Science, Amsterdam.
  30. Sargin, M., Ghosh, S.K. and Handa, V.K. (1971), "Effects of lateral reinforcement upon the strength and deformation properties of concrete", Mag. Concrete Res., 23(75-76), 99-110. https://doi.org/10.1680/macr.1971.23.76.99.
  31. Sinha, B.P., Gerstle, K.H. and Tulin, L.G. (1964), "Stress-strain relations for concrete under cyclic loading", J. ACI, 61(2), 195-211.
  32. Tasnimi, A.A. (2004), "Mathematical model for complete stress-strain curve prediction of normal, light-weight and high-strength concretes", Mag. Concrete Res., 56(1), 23-34. https://doi.org/10.1680/macr.2004.56.1.23.
  33. Tomaszewicz, A. and Betongens, A. (1984), SINTEF Rep. No. STF 65A84605, Trondheim.
  34. Van Gysel, A. and Taerwe, L. (1996), "Analytical formulation of the complete stress-strain curve for high strength concrete", Mater. Struct., 29, 529-533. https://doi.org/10.1007/BF02485952.
  35. Wang, P.T., Shah, S.P. and Naaman, A.E. (1978), "Stress-strain curves of normal and light weight concrete in compression", ACI J., 75(11), 603-611.
  36. Wee, T.H., Chin, M.S. and Mansur, M.A. (1996), "Stress-strain relationship of high-strength concrete in compression", J. Mater. Civil Eng., 8(2), 70-76. https://doi.org/10.1061/(ASCE)0899-1561(1996)8:2(70).
  37. Xu. J., Yuan, S. and Chen, W. (2019), "Isogeometric analysis of gradient-enhanced damaged plasticity model for concrete", Comput. Concrete, 23(3), 171-188. https://doi.org/10.12989/cac.2019.23.3.171.