Computers and Concrete

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

An embedded crack model for failure analysis of concrete solids

  • Received : 2009.10.02
  • Accepted : 2010.01.05
  • Published : 2010.08.25
⟨ Previous Next ⟩

Abstract

We present a quadrilateral finite element with an embedded crack that can be used to model tensile fracture in two-dimensional concrete solids and the crack growth. The element has kinematics that can represent linear jumps in both normal and tangential displacements along the crack line. The cohesive law in the crack is based on rigid-plasticity with softening. The required material data for the concrete failure analysis are the constants of isotropic elasticity and the mode I softening curve. The results of two well known tests are presented in order to illustrate very satisfying performance of the presented approach to simulate failure of concrete solids.

Keywords

References

  1. Asferg, J.L., Poulsen, P.N. and Nielsen, L.O. (2007), "A direct XFEM formulation for modeling of cohesive crack growth in concrete", Comput. Concrete, 4(2), 83-100. https://doi.org/10.12989/cac.2007.4.2.083
  2. Brancherie, D. and Ibrahimbegovic, A. (2009), "Novel anisotropic continuum-discrete damage model capable of representing localized failure of massive structures. Part I: theoretical formulation and numerical implementation", Eng. Comput., 26, 100-127. https://doi.org/10.1108/02644400910924825
  3. Dominguez, N. and Fernández, M.A. (2010), "Enhanced solid element for modeling of reinforced concrete structures with bond-slip", Comput. Concrete, 7(4).
  4. Dujc, J. and Brank, B. (2008), "On stress resultant plasticity and viscoplasticity for metal plates", Finite Elem. Anal. D., 44, 174-185. https://doi.org/10.1016/j.finel.2007.11.011
  5. Dujc, J., Brank, B. and Ibrahimbegovic, A. "Quadrilateral finite element with embedded strong discontinuity for failure modeling in solids", (submitted)
  6. Feist, C. and Hofstetter, G. (2007), "Validation of 3D crack propagation in plain concrete. Part I: experimental investigation - the PCT3D test", Comput. Concrete, 4(1), 49-66. https://doi.org/10.12989/cac.2007.4.1.049
  7. Gasser, T.C. (2007), "Validation of 3D crack propagation in plain concrete. Part II: computational modeling and predictions of the PCT3D test", Comput. Concrete, 4(1), 67-82. https://doi.org/10.12989/cac.2007.4.1.067
  8. Ibrahimbegovic, A. (2009), Nonlinear solid mechanics: theoretical formulations and finite element solution methods, Springer
  9. Ibrahimbegovic, A. and Brancherie, D. (2003), "Combined hardening and softening constitutive model of plasticity: precursor to shear slip line failure", Comput. Mech., 31, 88-100. https://doi.org/10.1007/s00466-002-0396-x
  10. Ibrahimbegovic, A. and Wilson, E.L. (1991), "A modified method of incompatible modes", Commun. Appl. Numer. Meth., 7, 187-194. https://doi.org/10.1002/cnm.1630070303
  11. Jehel, P., Davenne, L., Ibrahimbegovic, A. and Léger, P. (2010), "Towards robust viscoelastic-plastic-damage material model with different hardenings/softenings capable of representing salient phenomena in seismic loading applications", Comput. Concrete, 7(4).
  12. Jirasek, M. and Zimmermann, T. (2001), "Embedded crack model. Part II: combination with smeared cracks", Int. J. Numer. Meth. Eng., 50, 1291-1305. https://doi.org/10.1002/1097-0207(20010228)50:6<1291::AID-NME12>3.0.CO;2-Q
  13. .Jirásek, M. and Zimmermann, T. (2001), "Embedded crack model: I. basic formulation", Int. J. Numer. Meth. Eng., 50, 1269-1290.
  14. Korelc, J., AceGen, AceFem, available at http://www.fgg.uni-lj.si/Symech.
  15. Linder, C. and Armero, F. (2007), "Finite elements with embedded strong discontinuities for the modeling of failure in solids", Int. J. Numer. Meth. Eng., 72, 1391-1433. https://doi.org/10.1002/nme.2042
  16. Manzoli, O.L. and Shing, P.B. (2006), "A general technique to embed non-uniform discontinuities into standard solid finite elements", Comput. Struct., 84, 742-757. https://doi.org/10.1016/j.compstruc.2005.10.009
  17. Manzoli, O.L., Oliver, J., Huespe, A.E. and Diaz, G. (2008), "A mixture theory based method for threedimensional modeling of reinforced concrete members with embedded crack finite elements", Comput. Concrete, 5(4), 401-416. https://doi.org/10.12989/cac.2008.5.4.401
  18. Mosler, J. (2005), "On advanced solution strategies to overcome locking effects in strong discontinuity approaches", Int. J. Numer. Meth. Eng., 63, 1313-1341. https://doi.org/10.1002/nme.1329
  19. Sancho, J.M., Planas, J., Cendón, D.A., Reyes, E. and Gálvez, J.C. (2007), "An embedded crack model for finite element analysis of concrete structure", Eng. Fracture Mech., 74, 75-86. https://doi.org/10.1016/j.engfracmech.2006.01.015

Cited by

  1. Stress-hybrid quadrilateral finite element with embedded strong discontinuity for failure analysis of plane stress solids vol.94, pp.12, 2013, https://doi.org/10.1002/nme.4475
  2. Failure analysis of reinforced concrete frames by beam finite element that combines damage, plasticity and embedded discontinuity vol.75, 2014, https://doi.org/10.1016/j.engstruct.2014.06.017
  3. Improvement of some features of finite elements with embedded discontinuities vol.118, 2014, https://doi.org/10.1016/j.engfracmech.2014.02.002
  4. Importance of a rigorous evaluation of the cracking moment in RC beams and slabs vol.9, pp.4, 2012, https://doi.org/10.12989/cac.2012.9.4.275
  5. Embedded discontinuity finite element formulation for failure analysis of planar reinforced concrete beams and frames vol.50, 2013, https://doi.org/10.1016/j.engstruct.2012.07.028
  6. Towards a model of dry shear keyed joints: modelling of panel tests vol.10, pp.5, 2012, https://doi.org/10.12989/cac.2012.10.5.469
  7. Applied element method simulation of experimental failure modes in RC shear walls vol.19, pp.4, 2017, https://doi.org/10.12989/cac.2017.19.4.365
  8. Concrete crack rehabilitation using biological enzyme vol.19, pp.4, 2010, https://doi.org/10.12989/cac.2017.19.4.413
  9. Lateral Displacement Measurement Device for Concrete Specimens with Noncylindrical Cross Section vol.31, pp.11, 2010, https://doi.org/10.1061/(asce)mt.1943-5533.0002879
  10. General Consistency of Strong Discontinuity Kinematics in Embedded Finite Element Method (E-FEM) Formulations vol.14, pp.19, 2010, https://doi.org/10.3390/ma14195640