STATIC ANALYSIS OF SIGMOID FGM PLATES

CIVIL ENGINEERING

The static characteristics of Sigmoid Functionally Graded Material (S-FGM) plates of double curvature motivates the author to perform this research study. Principle of virtual work are utilised to derive the governing equation of motion and associated natural boundry conditions. Analytical solutions are obtained using Navier’s technique for simply supported boundry conditions. Some numerical results are compared with published results and found to be in excellent agreement. Both the effect of shear strain and displacement are included in the theory. Based on a nonlocal elasticity theory, a model for sigmoid functionally graded material (S-FGM) nanoscale plate with first-order shear deformation is studied. The material properties of S-FGM nanoscale plate are assumed to vary according to sigmoid function (two power law distribution) of the volume fraction of the constituents. The solutions of S-FGM nanoscale plate are presented to illustrate the effect of nonlocal theory on bending response of the S-FGM nanoscale plates. The effects of nonlocal parameters, power law index, aspect ratio, elastic modulus ratio, side-to-thickness ratio, and loading type on bending response are investigated.

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