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Research Article

Functionally graded Timoshenko beams with elastically-restrained edge supports: thermal buckling analysis via stokes’ transformation technique  

Moein Hosseini1, Fatemeh Farhatnia1*, Soheil Oveissi2

1Mechanical Engineering Faculty, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran
2Department of Mechanical Engineering, Islamic Azad University, Najafabad, Isfahan, Iran

Keywords

Abstract


Thermal buckling,

Timoshenko beam theory,

Functionally graded

material,

Stokes’ transformation


The present study investigates buckling in functionally graded material (FGM) beams when exposed to a temperature rise. The proposed FGM beams have arbitrary edge supports that are modeled by rotational and translational springs. The mechanical properties are assumed to vary continuously across the thickness direction according to a simple four-parameter power law. To obtain the critical value of temperature, the governing equilibrium equations are extracted based on Timoshenko beam theory, using the assumption of Von-Karman nonlinearity for the physical neutral surface concept. The equations are further solved by Fourier series expansion via Stokes’ transformation technique. Numerical examples are provided to demonstrate the accuracy and reliability of the proposed method. The influence of two models of metal-ceramic distribution across the thickness (symmetrical and unsymmetrical ones) on the response of the beam in thermal buckling of FG beam is investigated. It is observed that, the critical buckling temperature rises more for symmetrical model of FGM beam with respected to unsymmetrical one. Also, increasing the translational and rotational spring coefficient makes the beam stiffer; consequently, the critical buckling temperature is increased. © 2017 MIM Research Group. All rights reserved.

DOI: http://dx.doi.org/10.17515/resm2016.83me1018                          Full Text

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22/02/2021 Indexed by InfoBase Index: We are informed that our journal is accepted to be included in the InfoBase Index. 


11/02/2021 Collaboration for ULIBTK 2021: Editorial Board of our journal and Organizing Committee of the 23. Congress on Thermal Science and Technology (ULIBTK 2021) have agreed to collaborate. Extended versions of the selected papers from the conference will be published in our journal. For more see Events.


31/12/2020 Most Cited Award: 

According to the Editorial Board evaluation, the paper authored by Nelson Batista, Rui Melicio, Victor Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self-start capabilities considering symmetric and asymmetric airfoils" is awarded the 2020 Most Cited Paper Award of Research on Engineering Structures and Materials (RESM).


31/12/2020 Best Paper Award:

According to the Advisory Board decision, the paper authored by Marcelo Mesquita do Amaral, Matheus Wanglon Ferreira and Mauro de Vasconcellos Real entitled as “A simplified method for analysis of reinforced concrete beams exposed to fire situation” is awarded the 2020 Best Paper Award of Research on Engineering Structures and Materials (RESM).


02/11/2020 Indexed by SCOPUS: We are informed that our journal is accepted to be included in the SCOPUS Index. See news for more info.


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LATEST AWARDS


2020 Most Cited Paper Award:

The paper authored by Nelson Batista, Rui Melicio, Victor Mendes entitled as “Darrieus vertical axis wind turbines: methodology to study the self-start capabilities considering symmetric and asymmetric airfoils" is awarded the


2020 Best Paper Award:

The paper authored by Ahsen Ünal, Işıl Özer, Melek Erol Taygun, Sadriye Küçükbayrak entitled as “Fabrication and in-vitro evaluation of copper doped bioactive glass/polymer composite scaffolds for bone tissue engineering” is awarded the 


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Last Update:

27.02.2021

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