Publications Internationales
Permanent URI for this collectionhttps://dspace.univ-boumerdes.dz/handle/123456789/13
Browse
2 results
Search Results
Item 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, RiadhThe 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 considerationsItem 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, LazregIn 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.
