Predicting Crack Growth in a Concrete Building

Year 2023, Volume: 18 Issue: 2, 48 - 54, 30.06.2023

Michael Toryila Tiza

Abstract

This study presents a mathematical model for estimating the growth of a crack in a 15-year-old concrete building located in Gboko, Benue State, Nigeria. The model takes into consideration various factors, including the building's dimensions, construction age, climate, soil type, and maintenance history. The aim of the study is to assess the structural integrity of the building and provide insights into its maintenance needs. The model was calibrated using data on the location, size, shape, and associated damage of an existing crack in the building's east wall. The results of the model show that the crack is likely to continue growing at a slow rate of approximately 0.1 mm/year. However, the crack is not expected to pose a significant risk to the building's structural integrity in the near future. The study demonstrates the potential of mathematical modeling as a tool for assessing and managing cracks in concrete structures. The model provides valuable insights into the structural behavior of the building, and the results can be used by building owners, engineers, and maintenance personnel to make informed decisions about the maintenance, repair, and upgrade of the building. Overall, the study highlights the importance of regular maintenance and inspection of concrete structures to ensure their long-term durability and safety.

Keywords

Mathematical Modeling, Crack Estimation, Concrete Structures, Building Maintenance, Structural Integrity, Nigeria.

References

• Abdullah S, Singh SS, Nor NM, (2022). Structural integrity cases in mechanical and civil engineering. Springer Nature.
• Bell, P. J., & Wolfman, A. (2009). Mathematical Modeling of Crack Growth Interaction Effects. 157–115. https://doi.org/10.1520/stp33370s
• Bernard ES, (2019). Predicting crack widths in FRC/reinforced concrete members using small deformation post‐crack parameters. Structural Concrete, 20(6), 2138-2149. https://doi.org/10.1002/suco.201900083
• Carpinteri A, (2012). Mechanical damage and crack growth in concrete. Springer Science & Business Media. Gaedicke C., Roesler J., & Shah S. (2009). Fatigue crack growth prediction in concrete slabs. International Journal of Fatigue, 31(8-9), 1309-1317. https://doi.org/10.1016/j.ijfatigue.2009.02.040
• Hu D, (2022) Stress analysis of prestressed concrete flexural members. Analysis and Design of Prestressed Concrete, 157-210. https://doi.org/10.1016/b978-0-12-824425-8.00007-5
• Hui, C. M., Anand Jagota, Bennison, S. J., & Londono, J. D. (2003). Crack blunting and the strength of soft elastic solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 459(2034), 1489–1516. https://doi.org/10.1098/rspa.2002.1057
• Kondo, Y. (1989). Prediction of Fatigue Crack Initiation Life Based on Pit Growth. CORROSION, 45(1), 7–11. https://doi.org/10.5006/1.3577891
• Madenci E, Colavito K, & Phan N, (2016) Peridynamics for unguided crack growth prediction under mixed-mode loading. Engineering Fracture Mechanics, 167, 34–44. https://doi.org/10.1016/j.engfracmech.2016.04.009
• Masataka Yatomi, Kamran Nikbin, & O’Dowd, N. P. (2003). Creep crack growth prediction using a damage based approach. 80(7-8), 573–583. https://doi.org/10.1016/s0308-0161(03)00110-8
• Masters L, (2012) Problems in service life prediction of building and construction materials. Vol. 95. Springer Science & Business Media.
• Shafiei Dastgerdi A, Peterman RJ, Savic A., Riding K., Beck BT, (2020) Prediction of splitting crack growth in prestressed concrete members using fracture toughness and concrete mix design. Construction and Building Materials, 246, 118523. https://doi.org/10.1016/j.conbuildmat.2020.118523
• Sih GC, Barthelemy BM, (1980) Mixed mode fatigue crack growth predictions. Engineering Fracture Mechanics, 13(3), 439–451. https://doi.org/10.1016/0013-7944(80)90076-4
• Yang X, (2013). Mathematical modeling. Mathematical Modeling with Multidisciplinary Applications, 23-44. https://doi.org/10.1002/9781118462706.ch2
• Zhang, Y., Roesler J, Dahal S, (2023) Predicting transverse crack properties in continuously reinforced concrete pavement. Construction and Building Materials, 364, 129842. https://doi.org/10.1016/j.conbuildmat.2022.129842
• Zijl GP, Boshoff BP, (2009) Advances in cement-based materials: Proc. Int. Conf. Advanced concrete materials, 17-19 Nov. 2009, stellenbosch, South Africa. CRC Press.
• Zuki SS, (2020) Proceedings of the sustainable concrete materials and structures in construction 2020: Towards sustainable green concrete. Springer Nature.