Abstract
In this paper, flexural Kirchhoff plate theory is utilized for static analysis of isotropic sectorial micro-plates based on a modified couple stress theory containing one material length scale parameter. The Levy method is implemented and the resulting sixth-order differential equation is solved for the unknown deflection using the p-version finite-element method. The Galerkin form of this differential equation is first reduced to its weak form and then solved using hierarchical p-version finite elements with second-order global smoothness. The computed deflection distribution of the micro-plate is compared with that of the classical theory, in which micro-effects are not present. A series of studies have revealed that when the length scale parameters are considered, deflection of a sectorial plate decreases as the length scale effect is increased; in other words, the micro-plate exhibits more rigidity.
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