Analysis of Buckling Behavior of Functionally Graded Plates Under Mechanical Loading

Authors B. Adim1,2, T.H. Daouadji2,3

1Tissemsilt University, Department of Sciences & Technology, Tissemsilt, Algeria

2Tiaret University, Geomatics and Sustainable Development Laboratory, Tiaret, Algeria

3Tiaret University, Department of Civil Engineering, Tiaret, Algeria

Issue Volume 16, Year 2024, Number 2
Dates Received 23 December 2023; revised manuscript received 17 April 2024; published online 29 April 2024
Citation B. Adim, T.H. Daouadji, J. Nano- Electron. Phys. 16 No 2, 02003 (2024)
PACS Number(s) 46.32. + x, 81.05.Zx
Keywords FGM plate, Refined plates theory, Mechanical buckling, Navier’s solution, Virtual work principle.

In this research paper a refined shear and deformation theory for buckling of functionally graded FGM plates under mechanical loading is presented. The shear stress variation through the thickness in a parabolic form is accounted for in this theory, and satisfies the condition of the transversal shear stress null on the upper and bottom edges of the plate without using shear correction coefficients. Unlike the conventional other shear stress and deformation theories, only four unknowns involved in the proposed refined theory, which has many resemblances to traditional plate theory. boundary conditions, equilibrium equations and stress expressions. The properties of the functionally graded plate are varying following a power law distribution of the fraction’s volume of the constituents. Equilibrium equations are derived from the virtual works principle. The solution of simply supported functionally graded plates is deduced and their results are compared against those of first-order theory and higher-order theories. It can be said that the suggested theory is effective and accurate in determining the buckling behavior of FGM plates.

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