Increasing application of composite structures in engineering field inherently speed up the studies focusing on the investigation of non-homogeneous bodies. Due to their capability on capturing the size effects, and offering solutions independent of spatial discretization, enriched non-classical continuum theories are often more preferable with respect to the classical ones.
The aim of this contribution is to formulate equivalent continuum finite element model for two-dimensional atomic arrays under plane-stress condition, based on Eringen's two phase local/nonlocal model. The interaction between the atoms is modelled using translational and rotational linear elastic springs including both nearest and second nearest neighbor relations. Explicit relations between those set of springs and material properties of associated continuum model is looked for by means of equivalency of potential energy stored in atomic bonds and strain energy of continuum.
The aim of the present work is to investigate the mechanical behaviour of orthotropic masonry subjected to localised loads in the context of both ‘implicit’/‘weak’ and ‘explicit’/‘strong’ non-local continuum models. To look for possible correspondences and differences, the solutions of Cosserat (micropolar) and integral form of Eringen models, obtained by employing finite element method, are compared. The resulting displacement and stress fields highlight the diffusive character of micropolar model, and the capability of Eringen model in avoiding stress singularities.
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