DOI QR코드

DOI QR Code

Evaluation of constitutive relations for concrete modeling based on an incremental theory of elastic strain-hardening plasticity

  • Kral, Petr (Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology) ;
  • Hradil, Petr (Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology) ;
  • Kala, Jiri (Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology)
  • 투고 : 2018.03.13
  • 심사 : 2018.07.16
  • 발행 : 2018.08.25

초록

Today, the modeling of concrete as a material within finite element simulations is predominantly done through nonlinear material models of concrete. In current sophisticated computational systems, there are a number of complex concrete material models which are based on theory of plasticity, damage mechanics, linear or nonlinear fracture mechanics or combinations of those theories. These models often include very complex constitutive relations which are suitable for the modeling of practically any continuum mechanics tasks. However, the usability of these models is very often limited by their parameters, whose values must be defined for the proper realization of appropriate constitutive relations. Determination of the material parameter values is very complicated in most material models. This is mainly due to the non-physical nature of most parameters, and also the large number of them that are frequently involved. In such cases, the designer cannot make practical use of the models without having to employ the complex inverse parameter identification process. In continuum mechanics, however, there are also constitutive relations that require the definition of a relatively small number of parameters which are predominantly of a physical nature and which describe the behavior of concrete very well within a particular task. This paper presents an example of such constitutive relations which have the potential for implementation and application in finite element systems. Specifically, constitutive relations for modeling the plane stress state of concrete are presented and subsequently tested and evaluated in this paper. The relations are based on the incremental theory of elastic strain-hardening plasticity in which a non-associated flow rule is used. The calculation result for the case of concrete under uniaxial compression is compared with the experimental data for the purpose of the validation of the constitutive relations used.

키워드

과제정보

연구 과제번호 : Damage assessment identification for reinforced concrete subjected to extreme loading

연구 과제 주관 기관 : Czech Science Foundation

참고문헌

  1. ACI Committee 363 (1984), "State of the art report on highstrength concrete", ACI Journal, 81(4), 364-411.
  2. ADINA (1997), ADINA: Theory and Modeling Guide, ADINA R&D Inc.
  3. ANSYS (2014), ANSYS Mechanical Theory Reference Release 15.0, ANSYS Inc.
  4. ATENA (2013), ATENA Program Documentation, Cervenka consulting Ltd., Prague, Czech Republic.
  5. Bland, D. R. (1957), "The associated flow rule of plasticity", Journal of the Mechanics and Physics of Solids, 6(1), 71-78. https://doi.org/10.1016/0022-5096(57)90049-2
  6. Grassl, P. and Jirasek, M. (2006), "Damage-plastic model for concrete failure", International Journal of Solids and Structures, 43(22-23), 7166-7196. https://doi.org/10.1016/j.ijsolstr.2006.06.032
  7. Hand, F. R., Pecknold, D. A. and Schnobrich, W. C. (1972), "A layered finite element nonlinear analysis of reinforced concrete plates and shells", Civil Engineering Studies, Structural Research Series No. 389, University of Illinois at Urbana-Champaign, Urbana-Champaign, Illinois.
  8. Hu, H.-T. and Schnobrich, W. C. (1989), "Constitutive modeling of concrete by using nonassociated plasticity", Journal of Materials in Civil Engineering, 1(4), 199-216. https://doi.org/10.1061/(ASCE)0899-1561(1989)1:4(199)
  9. Hu, H.-T. and Schnobrich, W. C. (1988), "Nonlinear analysis of plane stress state reinforced concrete under short term monotonic loading", Civil Engineering Studies, Structural Research Series No. 539, University of Illinois at Urbana-Champaign, Urbana-Champaign, Illinois.
  10. Jankowiak, T. and Lodygowski, T. (2005), "Identification of parameters of concrete damage plasticity constitutive model", Foundations of Civil and Environmental Engineering, 6, 53-69.
  11. Kaufmann, W. (1998), Strength and Deformations of Structural Concrete Subjected to In-Plane Shear and Normal Forces, Springer Basel AG, Zurich, Switzerland.
  12. Kazaz, I. (2011), "Finite element analysis of shear-critical reinforced concrete walls", Computers and Concrete, 8(2), 143-162. https://doi.org/10.12989/cac.2011.8.2.143
  13. Kupfer, H. and Gerstle, K. (1973), "Behaviour of concrete under biaxial stress", Journal of the Engineering Mechanics Division, ASCE, 99, 852-866.
  14. Lade, P. V., Nelson, R. B. and Ito, Y. M. (1987), "Nonassociated flow and stability of granular materials", Journal of Engineering Mechanics, ASCE, 113(9), 1302-1318. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:9(1302)
  15. LS-Dyna (2017), Theory Manual, Livemore Software Technology Corporation, Livemore, California, USA.
  16. Matlab (2005), The Language of Technical Computing, The MathWorks, Inc.
  17. Meyers, M. A. and Chawla, K. K. (2009), Mechanical Behavior of Materials, Cambridge University Press, New York, NY, USA.
  18. Moscoso, A. M., Tamayo, J. L. P. and Morsch, I. B. (2017), "Numerical simulation of external pre-stressed steel-concrete composite beams", Computers and Concrete, 19(2), 191-201. https://doi.org/10.12989/cac.2017.19.2.191
  19. Murray, D. W., Wong, C., Rijub-Agha, K. Y. and Chitnuyanondh, L. (1979), "Concrete plasticity theory for biaxial stress analysis", Journal of the Engineering Mechanics Division, ASCE, 105(6), 989-1006.
  20. Nguyen, G. D. and Korsunsky, A. M. (2006), "Damage-plasticity modelling of concrete: Calibration of parameters using separation of fracture energy", International Journal of Fracture, 139(2), 325-332. https://doi.org/10.1007/s10704-006-8379-0
  21. Rezaiee-Pajand, M. and Nasirai, C. (2007), "Accurate integration scheme for von-Mises plasticity with mixed-hardening based on exponential maps", Engineering Computations, 24(6), 608-635. https://doi.org/10.1108/02644400710774806
  22. Rouainia, M. and Muir wood, D. (2000), "A kinematic hardening constitutive model for natural clays with loss of structure", Geotechnique, 50(2), 153-164. https://doi.org/10.1680/geot.2000.50.2.153
  23. Runesson, K. and Mroz, Z. (1989), "A note on nonassociated plastic flow rules", International Journal of Plasticity, 5(6), 639-658. https://doi.org/10.1016/0749-6419(89)90005-3
  24. Schwer, L. E. and Murray, Y. D. (1994), "A three invariant smooth cap model with mixed hardening", International Journal for Numerical and Analytical Methods in Geomechanics, 18, 657-688. https://doi.org/10.1002/nag.1610181002
  25. Shames, I. H. and Cozzarelli, F. A. (1997), Elastic and Inelastic Stress Analysis, CRC Press, Taylor & Francis Group, Boca Raton, Florida, USA.
  26. Szczesniak, A. and Stolarski, A. (2016), "A simplified model of concrete for analysis of reinforced concrete elements", Bulletin of the Military University of Technology, 65(4), 55-68.
  27. Wu, M., Chen, Z. and Zhang, C. (2015), "Determining the impact behavior of concrete beams through experimental testing and meso-scale simulation: I. Drop-weight tests", Engineering Fracture Mechanics, 135, 94-112. https://doi.org/10.1016/j.engfracmech.2014.12.019
  28. Zhang, D., Wang, Q. and Dong, J. (2016), "Simulation study on CFRP strengthened reinforced concrete beam under four-point bending", Computers and Concrete, 17(3), 407-421. https://doi.org/10.12989/cac.2016.17.3.407

피인용 문헌

  1. Video analysis of response of reinforced concrete beam to impact loading during drop test vol.310, pp.None, 2018, https://doi.org/10.1051/matecconf/202031000049
  2. Elasto-Damage constitutive modelling of recycled aggregate concrete vol.28, pp.1, 2018, https://doi.org/10.12989/cac.2021.28.1.013