This paper is dedicated to present a Ritztype analytical solution for buckling behavior of two directional functionally graded beams (2DFGBs) subjected to various sets of boundary conditions by employing a third order shear deformation theory. The material properties of the beam vary in both axial and thickness directions according to the powerlaw distribution. The axial, transverse deflections and rotation of the cross sections are expressed in polynomial forms to obtain the buckling load. The auixiliary functions are added to displacement functions to satisfy the boundary conditions. Simply supported – Simply supported (SS), ClampedSimply supported (CS), Clamped – clamped (CC) and Clampedfree (CF) boundary conditions are considered. Computed results are compared with earlier works for the verification and convergence studies. The effects of the different gradient indexes, various aspect ratios and boundary conditions on the buckling responses of the two directional functionally graded beams are investigated.
This paper is dedicated to present a Ritztype analytical solution for buckling behavior of two directional functionally graded beams (2DFGBs) subjected to various sets of boundary conditions by employing a third order shear deformation theory. The material properties of the beam vary in both axial and thickness directions according to the powerlaw distribution. The axial, transverse deflections and rotation of the cross sections are expressed in polynomial forms to obtain the buckling load. The auixiliary functions are added to displacement functions to satisfy the boundary conditions. Simply supported – Simply supported (SS), ClampedSimply supported (CS), Clamped – clamped (CC) and Clampedfree (CF) boundary conditions are considered. Computed results are compared with earlier works for the verification and convergence studies. The effects of the different gradient indexes, various aspect ratios and boundary conditions on the buckling responses of the two directional functionally graded beams are investigated.
Birincil Dil  en 

Konular  Mühendislik ve Temel Bilimler 
Yayımlanma Tarihi  Mayıs 
Dergi Bölümü  Makaleler 
Yazarlar 

Bibtex  @araştırma makalesi { apjes357539,
journal = {Akademik Platform Mühendislik ve Fen Bilimleri Dergisi},
issn = {},
eissn = {21474575},
address = {Akademik Platform},
year = {2018},
volume = {6},
pages = {164  178},
doi = {10.21541/apjes.357539},
title = {Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory},
key = {cite},
author = {Karamanlı, Armağan}
} 
APA  Karamanlı, A . (2018). Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory. Akademik Platform Mühendislik ve Fen Bilimleri Dergisi, 6 (2), 164178. DOI: 10.21541/apjes.357539 
MLA  Karamanlı, A . "Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 (2018): 164178 <http://dergipark.gov.tr/apjes/issue/38735/357539> 
Chicago  Karamanlı, A . "Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 (2018): 164178 
RIS  TY  JOUR T1  Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory AU  Armağan Karamanlı Y1  2018 PY  2018 N1  doi: 10.21541/apjes.357539 DO  10.21541/apjes.357539 T2  Akademik Platform Mühendislik ve Fen Bilimleri Dergisi JF  Journal JO  JOR SP  164 EP  178 VL  6 IS  2 SN  21474575 M3  doi: 10.21541/apjes.357539 UR  http://dx.doi.org/10.21541/apjes.357539 Y2  2018 ER  
EndNote  %0 Akademik Platform Mühendislik ve Fen Bilimleri Dergisi Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory %A Armağan Karamanlı %T Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory %D 2018 %J Akademik Platform Mühendislik ve Fen Bilimleri Dergisi %P 21474575 %V 6 %N 2 %R doi: 10.21541/apjes.357539 %U 10.21541/apjes.357539 
ISNAD  Karamanlı, Armağan . "Analytical Solutions for Buckling Behavior of Two Directional Functionally Graded Beams Using a Third Order Shear Deformable Beam Theory". Akademik Platform Mühendislik ve Fen Bilimleri Dergisi 6 / 2 (Ağustos 2018): 164178. http://dx.doi.org/10.21541/apjes.357539 