Structural Engineering and Mechanics

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Bending analysis of nano-SiO2 reinforced concrete slabs resting on elastic foundation

  • Mohammed, Chatbi (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, University of Djillali Liabes) ;
  • Baghdad, Krour (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, University of Djillali Liabes) ;
  • Mohamed A., Benatta (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, University of Djillali Liabes) ;
  • Zouaoui R., Harrat (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, University of Djillali Liabes) ;
  • Sofiane, Amziane (Clermont Auvergne University, CNRS, Sigma, Institut Pascal) ;
  • Mohamed Bachir, Bouiadjra (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, University of Djillali Liabes)
  • Received : 2021.03.22
  • Accepted : 2022.11.30
  • Published : 2022.12.10
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Abstract

Nanotechnology has become one of the interesting technique used in material science and engineering. However, it is low used in civil engineering structures. The purpose of the present study is to investigate the static behavior of concrete plates reinforced with silica-nanoparticles. Due to agglomeration effect of silica-nanoparticles in concrete, Voigt's model is used for obtaining the equivalent nano-composite properties. Furthermore, the plate is simulated mathematically with higher order shear deformation theory. For a large use of this study, the concrete plate is assumed resting on a Pasternak elastic foundation, including a shear layer, and Winkler spring interconnected with a Kerr foundation. Using the principle of virtual work, the equilibrium equations are derived and by the mean of Hamilton's principle the energy equations are obtained. Finally, based on Navier's technique, closed-form solutions of simply supported plates have been obtained. Numerical results are presented considering the effect of different parameters such as volume percent of SiO2 nanoparticles, mechanical loads, geometrical parameters, soil medium, on the static behavior of the plate. The most findings of this work indicate that the use of an optimum amount of SiO2 nanoparticles on concretes increases better mechanical behavior. In addition, the elastic foundation has a significant impact on the bending of concrete slabs.

Keywords

Acknowledgement

The study described in this paper was financially supported by the Algerian Ministry of Higher Education and Scientific Research. The authors, also, gratefully acknowledge the support of the Thematic Agency for Research in Science and Technology (ATRST) of Algiers, Algeria.

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