Publications Internationales

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Author: search.filters.author.Bennai, RiadhHas files: No

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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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    Investigating wave propagation in sigmoid-FGM imperfect plates with accurate Quasi-3D HSDTs
    (Techno-Press, 2024) Nebab, Mokhtar; Atmane, Hassen Ait; Bennai, Riadh
    In this research paper, and for the first time, wave propagations in sigmoidal imperfect functionally graded material plates are investigated using a simplified quasi-three-dimensionally higher shear deformation theory (Quasi-3D HSDTs). By employing an indeterminate integral for the transverse displacement in the shear components, the number of unknowns and governing equations in the current theory is reduced, thereby simplifying its application. Consequently, the present theories exhibit five fewer unknown variables compared to other Quasi-3D theories documented in the literature, eliminating the need for any correction coefficients as seen in the first shear deformation theory. The material properties of the functionally graded plates smoothly vary across the cross-section according to a sigmoid power law. The plates are considered imperfect, indicating a pore distribution throughout their thickness. The distribution of porosities is categorized into two types: even or uneven, with linear (L)-Type, exponential (E)-Type, logarithmic (Log)-Type, and Sinus (S)-Type distributions. The current quasi-3D shear deformation theories are applied to formulate governing equations for determining wave frequencies, and phase velocities are derived using Hamilton's principle. Dispersion relations are assumed as an analytical solution, and they are applied to obtain wave frequencies and phase velocities. A comprehensive parametric study is conducted to elucidate the influences of wavenumber, volume fraction, thickness ratio, and types of porosity distributions on wave propagation and phase velocities of the S-FGM plate. The findings of this investigation hold potential utility for studying and designing techniques for ultrasonic inspection and structural health monitoring.
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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.
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    Fundamental frequencies of cracked FGM beams with influence of porosity and Winkler/Pasternak/Kerr foundation support using a new quasi-3D HSDT
    (Taylor & Francis, 2023) Nebab, Mokhtar; Dahmane, Mouloud; Belqassim, Ayache; Ait Atmane, Hassen; Bernard, Fabrice; Benadouda, Mourad; Bennai, Riadh; Hadji, Lazreg
    In this study, we have introduced, for the first time, a novel integral quasi-3D higher-order shear deformation theory (HSDT) employing a third-order shape function. This approach is employed to analyze the free vibration characteristics of a cracked porous functionally graded material (FGM) beam supported on a three-parameter elastic foundation (Winkler/Pasternak/Kerr). This new Quasi HSDT introduces a stretching effect that surpasses the capabilities of FSDT and other HDST. The employed shape function satisfies the conditions of shear stress nullity at both the higher and lower facets without the need for correction factors. The study incorporates a mathematical model representing Winkler/Pasternak/Kerr foundation types into the Hamiltonian to derive the equations of motion. The FGM beam studied in this paper is assumed to be composed of materials with a distribution that varies according to a power law along its height. Our results are compared with previous studies and we reinforce our findings with a parametric study assessing the impact of crack attributes on the natural frequencies of the FG plate. This study presents an advanced integral quasi-3D HSDT, applied for the first time, to analyze the behavior of FG beams resting on a three-parameter foundation.