The critical buckling load for a FGM plate under a linearly distributed in-plane load is determined. Material properties of the plate vary exponentially across its thickness. The Ritz method is used to solve the equations formed according to the 3D linear elasticity theory. The effects of different material compositions and dimensions of the plate on its critical buckling load and mode shapes are investigated for three different boundary conditions.
Similar content being viewed by others
References
F. Chu, J. He, L. Wang, and Z. Zhong, “Buckling analysis of functionally graded thin plate with in-plane material inhomogeneity,” Engineering Analysis with Boundary Elements, 65, 112-125 (2016).
S. Abrate, “Free vibration, buckling and static deflections of FGPs,” Composites Science and Technology, 66, 2383-2394 (2006).
M. Aydogdu, “Conditions for FGPs to remain flat under in-plane loads by classical plate theory,” Composite Structures, 82(1), 155-157 (2008).
H. Mozafari and A. Ayob, “Effect of thickness variation on the mechanical buckling load in plates made of FGMs,” Procedia Technology, 1, 496-504 (2012).
M. Bodaghi and A. R. Saidi, “Levy-type solution for buckling analysis of thick functionally graded rectangular plates based on the higher-order shear deformation plate theory,” Applied Mathematical Modelling, 34, 3659-3673 (2010).
K. Asemi, M. Shariyat, M. Salehi, and H. Ashrafi, “A full compatible 3D elasticity element for buckling analysis of FGM rectangular plates subjected to various combinations of biaxial normal and shear loads,” Finite Elements in Analysis and Design, 74, 9-21 (2013).
B. Uymaz and M. Aydogdu, “Three dimensional mechanical buckling of FG plates with general boundary conditions,” Composite Structures, 96; 174-193 (2013).
B. Uymaz and M. Aydogdu, “Three dimensional shear buckling of FG plates with various boundary conditions,” Composite Structures, 96; 670-682 (2013).
K. S. Na and J. H. Kim, “3D thermal buckling analysis of FGMs,” Composites Part B: Engineering, 35, 429-437 (2004).
R. Javaheri and M. R. Eslami, “Thermal buckling of FGPs based on higher order theory,” Journal of Thermal Stresses, 25, 603-625 (2002).
Y. Xing and Z. Wang, “Closed form solutions for thermal buckling of functionally graded rectangular thin plates,” Applied Sciences, 7, 1256 (2017).
M. Ganapathi and T. Prakash, “Thermal buckling of simply supported functionally graded skew plates,” Composite Structures, 74, 247-250 (2006).
J. Moita, A. L. Araújo, V. F. Coreia, C. M. M. Soares, and J. Herskovits, “Buckling and nonlinear response of FGPs under thermo-mechanical loading,” Composite Structures, 202, 719-730 (2018).
A. W. Leissa and J. H. Kang, “Exact solutions for vibration and buckling of an SS-C-SS-C rectangular plate loaded by linearly varying in-plane stresses,” International Journal of Mechanical Sciences, 44, 1925-1945 (2002).
C. W. Bert and K. K. Devarakonda, “Buckling of rectangular plates subjected to nonlinearly distributed in-plane loading,” International Journal of Solids and Structures, 40, 4097-4106 (2003).
A. V. Lopatin and E. V. Morozov, “Buckling of the SSFF rectangular orthotropic plate under in-plane pure bending,” Composite Structures, 90, 287-294 (2009).
A. V. Lopatin and E. V. Morozov, “Buckling of the CCFF orthotropic rectangular plates under in-plane pure bending,” Composite Structures, 92, 1423-1431 (2010).
A. V. Lopatin and E. V. Morozov, “Buckling of the SSCF rectangular orthotropic plate subjected to linearly varying in-plane loading,” Composite Structures, 93, 1900-1909 (2011).
Z. Ni, J. Yuan, and B. Chen, “Buckling of the SS-C-SS-C symmetric composite rectangular plate linear-varying in-plane load,” Composite Structures, 107, 528-536 (2014).
M. Aydogdu and T. Aksencer, “Buckling of cross-ply composite plates with linearly varying in-plane,” Composite Structures, 183, 221-231 (2018).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 57, No. 1, pp. 97-112, January-February, 2021.
Rights and permissions
About this article
Cite this article
Uymaz, B. Buckling Characteristics of FGM Plates Subjected to Linearly Varying In-Plane Loads. Mech Compos Mater 57, 69–80 (2021). https://doi.org/10.1007/s11029-021-09934-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-021-09934-5