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• W2736295250 startingPage "20170249" @default.
• W2736295250 abstract "The three-dimensional dynamic non-local elasticity equations for a thin plate are subject to asymptotic analysis assuming the plate thickness to be much greater than a typical microscale size. The integral constitutive relations, incorporating the variation of an exponential non-local kernel across the thickness, are adopted. Long-wave low-frequency approximations are derived for both bending and extensional motions. Boundary layers specific for non-local behaviour are revealed near the plate faces. It is established that the effect of the boundary layers leads to the first-order corrections to the bending and extensional stiffness in the classical two-dimensional plate equations." @default.
• W2736295250 created "2017-07-21" @default.
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• W2736295250 date "2017-07-01" @default.
• W2736295250 modified "2023-09-25" @default.
• W2736295250 title "A non-local asymptotic theory for thin elastic plates" @default.
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• W2736295250 doi "https://doi.org/10.1098/rspa.2017.0249" @default.
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