On models for scale effects in fine structures | Mekhanika | kompozitsionnykh | materialov i konstruktsii
> Volume 8 > №4 / 2002 / Pages: 585-598

On models for scale effects in fine structures

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Using two variants on non-classic models of mechanics of continuums that take into account scale effects, we study models for thin lamina. The first model is named the basic model. This model is used for description of elastic interactions that are similar to interactions of Winkler springs of rigidities when these springs are distributed all over the structure. The second model is named the model of cohesive field. This model is a modified variant of the moment theory of elasticity. The governing system of equation in such the model allows us to represent a solution in terms of displacements in the form of superposition of a classical solution and a cohesive solution (classic and cohesive displacements). The cohesive displacement should satisfy the same system of equilibrium equations as the classical model.