Journal of the Architectural Institute of Korea Structure & Construction (대한건축학회논문집:구조계)

Architectural Institute of Korea (대한건축학회)
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Analysis of Multi-Cracking in Reinforced Concrete Flexural Members Using 3-Dimensional Extended Finite Elements

3차원 확장유한요소를 사용한 철근콘크리트 휨 부재의 다중균열 해석

  • Received : 2016.09.22
  • Accepted : 2016.12.21
  • Published : 2017.01.30
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Abstract

In this paper, the extended finite element method (XFEM) is used to simulate a crack initiation and propagation and to predict post-failure behavior of reinforced concrete flexural members. The reinforced concrete beams modeled by 2-dimension plane element and 3-dimension solid element are compared with the result of RC beam experiments. The analysis results of 2D and 3D XFEM elements are similar to experimental results. It confirmed the validity of the use of the 3D XFEM model for the analysis of RC flexural members. In this process, the locking phenomenon in enriched degree of freedoms was detected. The ways to prevent the locking phenomenon are presented; reducing the time increments or the tolerance of fracture criterion. Subsequently, a reinforced concrete slab modeled by 3-dimensional XFEM was analyzed and compared with the result of a RC slab test as well as the analysis with concrete damaged plasticity (CDP) model which can represent realistic post-failure behavior of concrete. The analysis with XFEM showed a similar load capacity and crack propagation patterns. The validity of 3D XFEM to predict crack patterns and post-failure behavior of RC members was demonstrated.

Keywords

Acknowledgement

Supported by : 한국연구재단

References

  1. ACI Committee 435. (1966). Deflection of Reinforced Concrete Flexural Members, ACI Journal, 63, 637-674
  2. Belytschko, T., & Black, T. (1999). Elastic Crack Growth in Finite Elements with Minimal Remeshing, International Journal for Numerical Methods in Engineering, 45, 601-620 https://doi.org/10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S
  3. Carpinteri, A., Carmona, J. R., & Ventura, G. (2011). Failure Mode Transitions in Reinforced Concrete Beams-Part 2 Experimental Tests, ACI Structural Journal, 108, 286-293
  4. Cervenka, J., & Saouma, V. E. (1994). Discrete Crack Modeling in Concrete Structures, Fracture Mechanics of Concrete Structures
  5. Cho, Y. K., Kim, S. M., Oh, H. J., & Lee, Y. H. (2013). Comparison of Stress Distribution between 2D and 3D Analysis Models of Continuously Reinforced Concrete Pavement, Korean Society of Road Engineers, 209-212
  6. Dahlblom, O., & Ottosen, N. S. (1990). Smeared Crack Analysis Using Generalized Fictitious Crack Model, Journal of Engineering mechanics, 116, 55-76 https://doi.org/10.1061/(ASCE)0733-9399(1990)116:1(55)
  7. Hillerborg, A., Modeer, M., & Petersson, P. E. (1979). Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements, Cement and Concrete Research, 6, 773-781
  8. Maaddawy, T. E., & Soudki, K. (2008). Strengthening of Reinforced Concrete Slabs with Mechanically-Anchored Unbonded FRP System, Construction and Building Materials, 22, 444-455 https://doi.org/10.1016/j.conbuildmat.2007.07.022
  9. Moes, N., & Belytschko, T. (2001). Extended Finite Ele ment Method for Cohesive Crack Growth, Engineering Fracture Mechanics, 69, 813-833
  10. Mungule, M., Raghuprasad, B. K., & Muralidhara, S. (2013). Fracture Studies on 3D Geometrically Similar Beams, Engineering Fracture Mechanics, 98, 407-422 https://doi.org/10.1016/j.engfracmech.2012.11.012
  11. Rabczuk, T., Zi, G., Gerstenberger, A. & Wall, W. A. (2008). A New Crack Tip Element for the Phantom-Node Method with Arbitrary Cohesive Cracks, International Journal for Numerical Methods in Engineering, 75, 577-599 https://doi.org/10.1002/nme.2273
  12. Remmers, J. J. C., Borst, R. D., & Needleman, A. (2003). A Cohesive Segments Method for the Simulation of Crack Growth, Computational Mechanics, 31, 69-77 https://doi.org/10.1007/s00466-002-0394-z
  13. Remmers, J. J. C., Borst, R. D., & Needleman, A. (2008). The Simulation of Dynamic Crack Propagation Using the Cohesive Segments Method, Journal of the Mechanics and Physics of Solids, 56, 70-92 https://doi.org/10.1016/j.jmps.2007.08.003
  14. Shrafisafa, M., & Nazem, M (2014). Application of the Distinct Element Method and the Extended Finite Element Method in Modelling Cracks and Coalescence in Brittle Materials, Computational Materials Science, 91, 102-121 https://doi.org/10.1016/j.commatsci.2014.04.006
  15. Song, J. H., Areias, P. M. A., & Belytschko, T. (2006). A Method for Dynamic Crack and Shear Band Propagation with Phantom Nodes, International Journal for Numerical Methods in Engineering, 67, 868-893 https://doi.org/10.1002/nme.1652
  16. Sun, Y., Hu, Y. G., & Liew, K. M. (2007). A Mesh-Free Simulation of Cracking and Failure Using the Cohesive Segments Method, International Journal of Engineering Science, 45, 541-553 https://doi.org/10.1016/j.ijengsci.2007.03.004
  17. Unger, J. F., Eckardt, S., & Konke, C. (2007). Modelling of Cohesive Crack Growth in Concrete Structures with the Extended Finite Element Method, Computer Methods in Applied Mechanics and Engineering, 196, 4087-4100 https://doi.org/10.1016/j.cma.2007.03.023
  18. Wahalathantri, B. L., Thambiratnam, D. P., Chan, T. H. T., & Fawzia, S. (2011). A Material Model for Flexural Crack Simulation in Reinforced Concrete Elements Using ABAQUS, Queensland University of Technology in Brisbane Australia, 260-264
  19. Wang, C., & Xu, X. (2016). An Extended Phantom Node Method Study of Crack Propagation of Composites under Fatigue Loading, Composite Structures, 154, 410-418 https://doi.org/10.1016/j.compstruct.2016.07.022
  20. Yoo, H. S., & Kim, H. S. (2016). Simulation of Multi-Cracking in a Reinforced Concrete Beam by Extended finite element method, Computational Structural Engineering Institute of Korea, 29, 201-208 https://doi.org/10.7734/COSEIK.2016.29.2.201
  21. Zhang, X., & Bui, T. Q. (2015). A Fictitious Crack XFEM with Two New Solution Algorithms for Cohesive Crack Growth Modeling in Concrete Structures, Engineering Computations, 32, 473-497 https://doi.org/10.1108/EC-08-2013-0203