Abstract

Axisymmetric bending of micro/nanoscale circular plates is studied using a nonlocal platetheory. The nonlocal theory allows for small scale effects. The governing equations andboundary conditions are derived for the aforementioned problem. By using a variabletransformation technique, exact nonlocal solutions for axisymmetric bending of circularplates under general loading are obtained. A detailed examination of the effects of smallscale on nonlocal solutions is carried out using uniformly loaded circular plates with eitherclamped or simply-supported edges. When compared with local plate theory, the nonlocalsolutions show larger deflections, moments and shear force and lower bendingstiffness.

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