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Steel and Composite Structures Volume 43, Number 1, April10 2022 , pages 31-54 DOI: https://doi.org/10.12989/scs.2022.43.1.031 |
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Elastic stability of functionally graded graphene reinforced porous nanocomposite beams using two variables shear deformation |
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Lahcene Fortas, Abderraouf Messai, Tarek Merzouki and Mohammed Sid Ahmed Houar
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| Abstract | ||
| This paper is concerned with the buckling behavior of functionally graded graphene reinforced porous nanocomposite beams based on the finite element method (FEM) using two variables trigonometric shear deformation theory. Both Young's modulus and material density of the FGP beam element are simultaneously considered as grading through the thickness of the beam. The finite element approach is developed using a nonlocal strain gradient theory. The governing equations derived here are solved introducing a 3-nodes beam element, and then the critical buckling load is calculated with different porosity distributions and GPL dispersion patterns. After a convergence and validation study to verify the accuracy of the present model, a comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern of GPL reinforcements on the Buckling behavior of the nanocomposite beam. The effects of various structural parameters such as the dispersion patterns for the graphene and porosity, thickness ratio, boundary conditions, and nonlocal and strain gradient parameters are brought out. The results indicate that porosity distribution and GPL pattern have significant effects on the response of the nanocomposite beams, and the results allows to identify the most effective way to achieve improved buckling behavior of the porous nanocomposite beam. | ||
| Key Words | ||
| buckling; finite element method; functionally graded porous materials; nonlocal strain gradient theoryariational formulation | ||
| Address | ||
| Lahcene Fortas:MN2I2S Laboratory, Faculty of Science and Technology, Biskra University, Biskra, Algeria Abderraouf Messai:University Ferhat Abbas SETIF 1, Department of Civil Engineering, SETIF, Algeria Tarek Merzouki:LISV, University of Versailles Saint-Quentin, 10-12 avenue de l | ||