Mechanical behavior of 2D FGP beam with uneven porosity distribution
DOI:
https://doi.org/10.54338/27382656-2023.5-001Keywords:
2D FGP beam, Uneven porosity, Bending, Transverse deflectionAbstract
This study gives the mechanical behavior of 2D functionally graded porous (FGP) beams using the finite element method. The Matlab code with simple Timoshenko beam elements is written to solve 2D FGP beam problems under distributed load. The transverse deflections are plotted along the length to provide mechanical views about this structure in reality.
Downloads
References
O. Carvalho, M. Buciumeanu, G. Miranda, S. Madeira, F.S. Silva, Development of a Method to Produce FGMs by Controlling the Reinforcement Distribution. Materials & Design, 92, 2016, 233-239. Doi: https://doi.org/10.1016/j.matdes.2015.12.032
M. Fouaidi, M. Jamal, N. Belouaggadia, Nonlinear Bending Analysis of Functionally Graded Porous Beams Using the Multiquadric Radial Basis Functions and a Taylor Series-Based Continuation Procedure. Composite Structures, 252, 2020, 112593. Doi: https://doi.org/10.1016/j.compstruct.2020.112593
M.R. Pajand, N.R. Safaei, A.R. Masoodi, An Efficient Curved Beam Element for Thermo-Mechanical Nonlinear Analysis of Functionally Graded Porous Beams. Structures, 28, 2020, 1035-1049. Doi: https://doi.org/10.1016/j.istruc.2020.08.038
S. Zghal, D. Ataoui, F. Dammak, Static Bending Analysis of Beams Made of Functionally Graded Porous Materials. Mechanics Based Design of Structures and Machines, 50 (3), 2022, 1012-1029. Doi: https://doi.org/10.1080/15397734.2020.1748053
V.N. Burlayenko, H. Altenbach, T. Sadowski, S.D. Dimitrova, A. Bhaskar, Modelling Functionally Graded Materials in Heat Transfer and Thermal Stress Analysis by Means of Graded Finite Elements. Applied Mathematical Modelling, 45, 2017, 422-438.Doi: https://doi.org/10.1016/j.apm.2017.01.005
M. Iasiello, N. Bianco, W.K.S. Chiu, V. Naso, The Effects of Variable Porosity and Cell Size on the Thermal Performance of Fun ctionally-Graded Foams. International Journal of Thermal Sciences, 160 (1), 2021, 106696. Doi: https://doi.org/10.1016/j.ijthermalsci.2020.106696
M. Şimşek, T. Kocatürk, Ş.D. Akbaş, Static Bending of a Functionally Graded Microscale Timoshenko Beam Based on the Modified Couple Stress Theory. Composite Structures, 95, 2013, 740-747. Doi: https://doi.org/10.1016/j.compstruct.2012.08.036
I. Katili, T. Syahril, A.M. Katili, Static and Free Vibration Analysis of FGM Beam Based on Unified and Integrated of Timoshenko’s Theory. Composite Structures, 242, 2020, 112130.Doi: https://doi.org/10.1016/j.compstruct.2020.112130
A. Karamanli, Static Behaviour of Two-Directional Functionally Graded Sandwich Beams using Various Beam Theories. New Trends in Mathematical Sciences, 5 (2), 2017, 112-147. Doi: https://doi.org/10.20852/NTMSCI.2017.161
B. Anirudh, M. Ganapathi, C. Anant, O. Polit, A Comprehensive Analysis of Porous Graphene-Reinforced Curved Beams by Finite Element Approach Using Higher-Order Structural Theory: Bending, Vibration and Buckling. Composite Structures, 222, 2019, 110899. Doi: https://doi.org/10.1016/j.compstruct.2019.110899
F.Z. Jouneghani, R. Dimitri, F. Tornabene, Structural Response of Porous FG Nanobeams under Hygro-Thermo-Mechanical Loadings. Composites Part B: Engineering, 152, 2018, 71-78. Doi: https://doi.org/10.1016/j.compositesb.2018.06.023
X.F. Li, A Unified Approach for Analyzing Static and Dynamic Behaviors of Functionally Graded Timoshenko and Euler-Bernoulli Beams. Journal of Sound and Vibration, 318, 2008, 1210-1229. Doi: https://doi.org/10.1016/j.jsv.2008.04.056
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Lan Hoang That Ton

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Creative Commons Attribution-Non-Commercial (CC BY-NC). CC BY-NC allows users to copy and distribute the article, provided this is not done for commercial purposes. The users may adapt – remix, transform, and build upon the material giving appropriate credit, providing a link to the license. The full details of the license are available at https://creativecommons.org/licenses/by-nc/4.0/.