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논문 기본 정보

자료유형
학술저널
저자정보
Riadh Bennai (University of Hassiba Benbouali of Chlef) Redhwane Ait Atmane (University of Relizane) Fabrice Bernard (Laboratoire de Génie Civil et Génie Mécanique) Mokhtar Nebab (University Hassiba Benbouali of Chlef) Noureddine Mahmoudi (University of Saida) Hassen Ait Atmane (University of Hassiba Ben Bouali) Salem Mohammed Aldosari (Cranfield University) Abdelouahed Tounsi (University of SIDI BEL ABBES)
저널정보
국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.45 No.1
발행연도
2022.10
수록면
67 - 82 (16page)

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In this paper, buckling and free vibration of imperfect, functionally graded beams, including porosities, are investigated, using a higher order shear strain theory. Due to defects during the manufacturing process, micro porosities may appear in the material, hence the appearance of this imperfection in the structure. The material properties of the beams are assumed to vary regularly, with power and sigmoid law, in the direction of thickness. A novel porosity distribution affecting the functionally graded volume fraction is presented. For the compact formulation used for cementite-based materials and already used in P-FGM, we have adapted it for the distribution of S-FGM. The equations of motion in the FG beam are derived using Hamilton's principle. The boundary conditions for beam FG are assumed to be simply supported. Navier's solution is used to obtain the closed form solutions of the FG beam. The numerical results of this work are compared with those of other published research to verify accuracy and reliability. The comparisons of different shear shape functions, the influence of porosity, thickness and inhomogeneity parameters on buckling and free vibration of the FG beam are all discussed. It is established that the present work is more precise than certain theories developed previously.

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