DOI QR코드

DOI QR Code

Drying Shrinkage Crack Analysis of Concrete Using Optimized Prony Series

최적화 프로니 급수를 이용한 콘크리트 건조수축 균열해석

  • 김한수 (건국대학교 건축학부) ;
  • 유현석 (건국대학교 일반대학원 건축공학과)
  • Received : 2015.04.22
  • Accepted : 2015.07.06
  • Published : 2015.07.30

Abstract

If the concrete members are restrained, drying shrinkage strain develops tensile stress and consequently develops cracks. Creep which is another long term characteristic of concrete relaxes the tensile stress due to shrinkage. Creep is represented in the form of creep function or relaxation function and the relaxation effect of creep can be considered by numerical integration. Creep function or relaxation function depend on two time variables representing creep effect and aging effect, respectively. In general purpose finite element program like Abaqus, Prony series are used in creep analysis to evade the complexity of numerical integration of creep function. However, Prony series in Abaqus has critical deficiency that it can represent only creep effect excluding aging effect. In this paper, optimized Prony series was proposed to complement the weakness of Prony series in Abaqus. The optimized Prony series can include not only creep effect but also aging effect. Drying shrinkage crack analysis was performed using XFEM features in Abaqus to demonstrate the efficiency of the optimized Prony series. Analysis model representing the drying shrinkage crack test specimen specified in KS F 2595 was used to compare with the shrinkage crack development measured in experiment. Analysis results with the optimized Prony series were quite similar to the experiment results and show the effectiveness of the proposed method in long term analysis of concrete structures.

Keywords

Acknowledgement

Supported by : 한국연구재단

References

  1. American Concrete Institute Committee 209 (1997). Prediction of Creep, Shrinkage, and Temperature Effects in Concrete Structure, ACI 209R-92
  2. Bazant, Z. & Wu, S. (1973). Dirichlet Series Creep Function for Aging Concrete, Journal of the Engineering Mechanics Division, 99(2), 367-387.
  3. Bazant, Z. (1982), Creep and Shrinkage in Concrete Structures: Mathmatical Models for Creep and Shrinkage of Concrete, John Wiley & sons, 163-247.
  4. Bazant, Z. & Yu, Q. & Li, G. (2011). Excessive Long-Time Deflection of prestressed Box Girders: I.Record-Span Bridge in Palau and Other Paradigms, II.Numerical Analysis and Lessons Learned, Journal of Engineering Mechanics, 138(6), 676-696.
  5. Belytschko, T. et al. (1996). Meshless Methods: an overview and recent, Computer Methods in Applied Mechanics and Engineering, 139(1), 3-47. https://doi.org/10.1016/S0045-7825(96)01078-X
  6. Belytschko, T. & Black, T. (1999). Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, 45(5), 601-620. https://doi.org/10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S
  7. Comite Euro-International Du Beton(1993), CEB-FIP Model code, Thomas Telford Services Ltd.
  8. Dolbow, J. & Moes, N. & Belytschko, T. (1999). A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, 46(1), 131-150. https://doi.org/10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J
  9. Kim, H. & Cho, S. (2003). Shrinkage Stress Analysis of Concrete Slab in Multistory Building Considering Variation of Restraint and Stress Relaxation Due to Creeps, Journal of the Architectural Institute of Korea, Structure and Construction Section, 19(1), 29-36.
  10. Kim, H. (2006). Shrinkage Stress Analysis of Concrete Slab in Multistory Building Considering Internal Restraint of Reinforcement Bar, Journal of the Architectural Institute of Korea, Structure and Construction Section, 22(4), 65-72.
  11. Kim, H. & Shin, S. (2014). Analysis of Shrinkage Crack Propagation Considering Long-Term Behavior of Concrete, Journal of the Architectural Institute of Korea, Structure and Construction Section, 30(6), 35-42.
  12. Korea Industrial Standards (2009). Standards test method for dry shrinkage crack in concrete, KS F 2595
  13. Melenk, M. & Babuska, I. (1999). The partition of unity finite element method: Basic theory and applications, Computer Methods in Applied Mechanics and Engineering, 46(1), 131-150.
  14. Moes, N. & Belytschko, T. (2002). Extended finite element method for cohesive crack growth, Engineering Fracture Mechanics, 69(7), 813-833. https://doi.org/10.1016/S0013-7944(01)00128-X
  15. Mohammad, S. (2008). Extended finite element method: for fracture analysis of structure, John Wiley & sons, 98.
  16. Rashid, M. (1998). The arbitrary local mesh renument method, an alternative to remeshing for crack propagation analysis, Computer Methods in Applied Mechanics and Engineering, 154(7), 133-150. https://doi.org/10.1016/S0045-7825(97)00068-6
  17. Toshio, O. & Yomoto, T. (2000). Prediction of Occurrence of Cracks due to Autogeneous Shrinkage and Drying Shrinkage, Journal of Japan Society of Civil Engineers, 662(49), 29-44.
  18. Zi, G. & Belytschko, T. (2003). New crack tip elements for XFEM and applications to cohesive cracks, International Journal for Numerical Methods in Engineering, 57(15), 2221-2240. https://doi.org/10.1002/nme.849