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In this article, we investigated and studied the effect of carbon Nanotubes fibers on the improvement of the mechanical and thermal properties of our epoxy matrix composite material. Our calculations were based on a heuristic optimization algorithm. The results show that the level of the damage is related to the concentration of the mechanical and thermal stresses, for the three materials studied carbon/epoxy, Graphite-epoxy and carbon nanotubes/epoxy, the calculations also show that carbon nanotubes have greatly improved the mechanical and physical properties of our material, and that this material is more resistant than the other carbon/epoxy composite materials and graphite-epoxy nanocomposite. The numerical simulation shows a good agreement with the real behavior of the three materials studied. This means that the mechanical and physical properties have been greatly improved after the use of carbon nanotubes fibers. Finally, we can say that our model has worked well in relation to the phenomenon of damage of composites and nanocomposites materials. It would be interesting to see, thereafter, the effect of carbon nanotubes fibers on the damage of the fiber-matrix interface of a bio-nanocomposite.
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