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Article Dans Une Revue Mathematics and Mechanics of Solids Année : 2022

Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory

Résumé

In the present work we study the static response of functionally graded (FG) porous nanocomposite beams, with a uniform or non-uniform layer-wise distribution of the internal pores and graphene platelets (GPLs) reinforcing phase in the matrix, according to three different patterns. The finite-element approach is developed here together with a non-local strain gradient theory and a novel trigonometric two-variable shear deformation beam theory, to study the combined effects of the non-local stress and strain gradient on the FG structure. The governing equations of the problem are solved introducing a three-node beam element. A comprehensive parametric study is carried out on the bending behavior of nanocomposite beams, with a particular focus on their sensitivity to the weight fraction and distribution pattern of GPLs reinforcement, as well as to the non-local scale parameters, geometrical properties, and boundary conditions. Based on the results, it seems that the porosity distribution and GPLs pattern have a meaningful effect on the structural behavior of nanocomposite beams, where the optimal response is reached for a non-uniform and symmetric porosity distribution and GPLs dispersion pattern within the material.
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Dates et versions

hal-03524570 , version 1 (13-01-2022)

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Citer

Tarek Merzouki, Houari Mohammed Sid Ahmed, A. Bessaim, Mohamed Haboussi, R. Dimitri, et al.. Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory. Mathematics and Mechanics of Solids, 2022, 27 (1), pp.66-92. ⟨10.1177/10812865211011759⟩. ⟨hal-03524570⟩
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