Three-Dimensional Numerical Investigation for Reinforced Concrete Slabs with Opening
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Three-Dimensional Numerical Investigation for Reinforced Concrete Slabs with Opening

Authors: Abdelrahman Elsehsah, Hany Madkour, Khalid Farah


This article presents a 3-D modified non-linear elastic model in the strain space. The Helmholtz free energy function is introduced with the existence of a dissipation potential surface in the space of thermodynamic conjugate forces. The constitutive equation and the damage evolution were derived as well. The modified damage has been examined to model the nonlinear behavior of reinforced concrete (RC) slabs with an opening. A parametric study with RC was carried out to investigate the impact of different factors on the behavior of RC slabs. These factors are the opening area, the opening shape, the place of opening, and the thickness of the slabs. And the numerical results have been compared with the experimental data from literature. Finally, the model showed its ability to be applied to the structural analysis of RC slabs.

Keywords: 3-D numerical analysis, damage mechanics, RC slab with opening.

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[1] K. H. Boon, Abu Bakr M. Diah and L. Y. Loon, “Flexural behavior of reinforced concrete slabs with opening,” in Malaysian Technical Universities Conference of Engineering and Technology ,MUCEET, June 2009.
[2] O. Enochsson, “CFRP strengthening of concrete slabs with and without opening,” PhD dissertation, Lulea University, Sweden, 2005.
[3] Wissam D. Salman, “Strengthening of Reinforced Concrete One-Way Slabs with Opening using CFRP Strip in Flexural,” International Journal of Science and Technology (ISSN: 2319-7064), 2013.
[4] Hossam A. Daham, “Analytical study of reinforced concrete with and without opening have different boundary conditions,” Journal of Al-Rafidien, 2010.
[5] Chee Khoon Ng. Timothy Julius Edwarad and Daniel Kim Tee Lee, “Theoretical Evaluation on Effects of Ultimate Load-Carrying Capacity of Square Slabs” Electronic Journal of Structure Engineering, 2008.
[6] Anjaly Somasekhar and Preetha Prabhakaran,” Analytical Investigation on Performance of Stiffened Waffle Slabs with Openings, Journal of Mechanical and Civil Engineering, ISSN 2278-1684, 2013.
[7] H. Madkour, “Modelling of damage-plasticity for concrete and its application for tunneling,” PhD dissertation Innsbruck University, Austria, 2004.
[8] H. Madkour, “Non-linear analysis of Strengthened RC beams with web opening),” Proceeding in International Journal of Civil Engineers, ICE, 2008.
[9] J. L. Chaboche, “Une loi differenetielle d’endommagement de fatigue avec cumulation non lineaire,” Rev. Fr. Mech., 50, 51, 1974.
[10] A. Dragon, D. Pham, P. Charles and J. F. Shao, “A model of anisotropic damage by micro-crack growth,” Proceeding of the International Symposium on Assessment and Prevention of Failure Phenomena in Rock Engineering, 71-78. Istanbul, Turkey, 1993.
[11] J. W. Ju, “On energy based coupled elastoplastic damage theories: Constitutive modeling and computational aspects,” International Journal of Solids and Structures, 25, 7, 803-833, 1989.
[12] W. Zhang, “Numerical analysis of continuous damage mechanics,” PhD dissertation, School of Civil Engineering University of New South Wales, Australia, 1992.
[13] S. Murakami and K. Hayakawa , “Space of damage conjugate force and damage potential of elastic-plastic-damage materials,” International Journal of Damage Mechanics, 6, 27-44, 1997.
[14] C. K. Valanis, “A Theory of damage in brittle materials,” Engineering Fracture Mechanics, 36, 403-416, 1990.
[15] Program system FINAL- Finite element analyses program for linear and nonlinear structures 2016; Version 7.3.
[16] Yeol Choi, Ik Hyun Park, Sang Goo Kang and Chang-Geun Cho, “Strengthening of RC slabs with Symmetric Openings Using GFRP Composite Beams,” Journal of Polymers, Vol.5, Issue 4, 2013.