Non-local finite element method for the analysis of elastic continuumwith long-range central interactions.

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Abstract

In this paper the Finite Element Method (FEM) for the mechanically-based non-localelastic continuum model is proposed. In such a model non-adjacent elements are considered mutuallyinteracting by means of central body forces that are monotonically decreasing with their interdistanceand proportional to the product of the interacting volume elements. The resulting governingequation is an integro-differential one and for such a model both kinematical and mechanicalboundary conditions are exactly coincident with the classical boundary conditions of the continuummechanics. The solution of the integro-differential problem is framed in the paper by the finite elementmethod. Finally, the solution obtained in the context of FEM is compared with finite differencemethod (FDM).
Original languageEnglish
Number of pages0
Publication statusPublished - 2009

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