Buckling analysis of functionally graded plates subjected to uniaxial loading

Esther Feldman*, Jacob Aboudi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Elastic bifurcational buckling of functionally graded plates under in-plane compressive loading is studied. It is supposed that the gradients of material properties throughout the structure are produced by a spatial distribution of the local reinforcement volume fraction vf = vf(x, y, z). To analyze the problem, a method based on a combination of micromechanical and structural approaches is employed. This establishes the effective constitutive behavior at every point of a nonhomogeneous composite plate and provides a buckling criterion. The derived criterion enables one to calculate the critical buckling load Rcrx for a given distribution vf(x, y, z). Furthermore, with the aim to improve the buckling resistance of the functionally graded plate, the functional Rcrx(Vf) is maximized. This yields an optimal spatial distribution vf(x, y, z) of the reinforcement phase. Results are presented for both short- and long-fiber SiC/Al plates in which the fibers are nonuniformly distributed in the x-, y-, or z-directions. The effects of length-to-width ratio of the plate, and of different types of boundary conditions are studied. Buckling load improvements of up to 100%, as compared to the corresponding uniformly reinforced structure, are shown.

Original languageEnglish
Pages (from-to)29-36
Number of pages8
JournalComposite Structures
Issue number1-4
StatePublished - 1997


FundersFunder number
Ministry of Absorption of the State of Israel


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