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Repozytorium publikacji
Politechniki Gdańskiej

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Bending analysis of functionally graded nanoplates based on a higher-order shear deformation theory using dynamic relaxation method

In this paper, bending analysis of rectangular functionally graded (FG) nanoplates under a uniform transverse load has been considered based on the modified couple stress theory. Using Hamilton’s principle, governing equations are derived based on a higher-order shear deformation theory (HSDT). The set of coupled equations are solved using the dynamic relaxation (DR) method combined with finite difference (FD) discretization technique for clamped and simply-supported boundary conditions. Finally, the effects of aspect ratio, thickness-to-length ratio, transverse load, boundary conditions, and length scale parameter are studied in detail. The results showed that by rising the length scale-to-thickness ratio, the influence of the grading index on the deflection decreased.

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