Publications Internationales

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    Elastic wave propagation and dynamic response of multidirectional FG beams under varying thermal conditions
    (Taylor and Francis, 2025) Bourouis, Mohammed El Amin; Dahmane, Mouloud; Nebab, Mokhtar; Benadouda, Mourad; Ait Atmane, Hassen; Bennai, Riadh
    The present research proposes an in-depth analysis of wave propagation in simply supported functional gradient (FG) porous beams subjected to complex thermal environments. The novelty of this study lies in the consideration of a thermal distribution applied unidirectionally (1D), bidirectionally (2D), and tridirectionally (3D) through the thickness, thickness and width, and then the thickness, width and length of the beam, respectively. Thermal loads dependent on and independent of mechanical properties are introduced to simulate realistic service conditions, enabling better anticipation of the dynamic response of FGM structures in thermally unstable environments. The power law function is intended to change the structure’s mechanical and physical characteristics as its thickness, width, and length increases. By applying Hamilton’s principle, the governing equations for elastic wave propagation under thermal loading are rigorously established. The problem is formulated as an eigenvalue system in order to derive the analytical dispersion relation in the unidirectional, bidirectional, and tridirectionally cases. The effects of temperature distribution types, wave propagation numbers, and volume fraction distributions on the wavpropagation dynamic of an imperfect functionally graded beam are subjected to extensive considerations
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    An enhanced quasi-3D HSDT for free vibration analysis of porous FG-CNT beams on a new concept of orthotropic VE-foundations
    (Taylor & Francis, 2024) Djilali Djebbour, Kenza; Nebab, Mokhtar; Ait Atmane, Hassen; Alghanmi, Rabab A.; Hadji, Lazreg; Bennai, Riadh
    The original primary objective of this study is to conduct a comprehensive investigation into the free vibration behavior of beams with porosity, reinforced by carbon nanotubes (CNTs). These beams are supported by an arbitrary orthotropic variable elastic foundation (AOVEF). The focus lies on understanding how the presence of porosity and CNT reinforcement, coupled with the complex support provided by the AOVEF, influences the vibration characteristics of the beams. In addition, we intend to examine the impact of a number of micromechanical models on the vibration properties of these beams. Four carbon nanotube variables are introduced to symbolize several CNT variations. CNTs’ mechanical properties are examined through a variety of micromechanical models. Shear deformation effects are considered into account in the framework of higher-order shear deformation (HSDT) beam theory. The equations of motion are constructed using Hamilton’s concept and the equation system for the FG-CNT beam with supported ends is solved via the Navier methodology. A new approach in elastic foundation modeling is the Arbitrarily Orthotropic Variable Elastic (AOP-VE) foundation. It builds on the Winkler layer concept but introduces the idea of a variable response along the length of the beam foundation. Unlike the Winkler-Pasternak model, AOP-VE allows for control over the directional properties of the Pasternak foundation. The study looks into multiple aspects, involving various distribution kinds of CNTs, the impact of Winkler and Pasternak factors, mode values, side-to-length ratio, porosity, and angle variation. The results indicate that these parameters have a major effect on the inherent vibration features of FG-CNT beams. The study results in various novel findings that improve the understanding of the subject topic and set a standard for future studies.