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Mechanics Based Design of Structures and Machines
An International Journal
Volume 52, 2024 - Issue 4
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Articles

Effect of material distribution on bending and buckling response of a bidirectional FG beam exposed to a combined transverses and variable axially loads

Mohamed Sekkala University of Science and Technology Houari Boumediene (USTHB), Algeria;b Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, Algeria
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Rabbab Bachir Bouiadjrab Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, Algeria;c Departement of Civil Engineering, University Mustapha Stambouli of Mascara, Mascara, Algeria
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Samir Benyoucefb Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, AlgeriaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0001-6639-6288
ORCID Icon,
Abdelouahed Tounsib Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Sidi Bel Abbes, Algeria;d YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea;e Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, Dhahran, Eastern Province, Saudi Arabia;f Interdisciplinary Research Center for Construction and Building Materials, KFUPM, Dhahran, Saudi Arabia
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Mofareh Hassan Ghazwanig Department of Mechanical Engineering, Faculty of Engineering, Jazan University, Jazan, Kingdom of Saudia Arabia
&
Ali Alnujaieg Department of Mechanical Engineering, Faculty of Engineering, Jazan University, Jazan, Kingdom of Saudia Arabia
Pages 2193-2212 | Received 03 Nov 2022, Accepted 11 Jan 2023, Published online: 02 Feb 2023
 
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Abstract

This article considers a bidirectional functionally graded (BDFG) beam with various distributions of volume fraction. The impact of these distributions on the buckling and bending response of BDFG beam with general boundary conditions is investigated via a quasi-3D solution. It is assumed that the beam is exposed to a set of in-plane varying compressive loads and there mechanical characteristics change in both directions. Also, the BDFG beam is considered to be exposed different external mechanical loads. Hamilton’s principle is employed to derive the governing equations, which are then solved using analytical solution to obtain buckling and bending characteristics. The precision of the current formulation is investigated via a comparison with available data in literature. Some numerical results are presented and discussed to assess the effect of different parameters such type of volume fraction, boundary condition, varying load, and beam geometry on the buckling and bending of BDFG beam.

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