On atomistic-to-continuum couplings without ghost forces in three dimensions

Makridakis, Charalambos and Mitsoudis, D.A. and Rosakis, Phoebus (2012) On atomistic-to-continuum couplings without ghost forces in three dimensions. arxiv.org.

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Abstract

In this paper we construct energy based numerical methods free of ghost forces in three dimen- sional lattices arising in crystalline materials. The analysis hinges on establishing a connection of the coupled system to conforming finite elements. Key ingredients are: (i) a new representation of discrete derivatives related to long range interactions of atoms as volume integrals of gradients of piecewise linear functions over bond volumes, and (ii) the construction of an underlying globally continuous function representing the coupled modeling method.

Item Type: Article
Subjects: Q Science > QA Mathematics
Depositing User: Professor Phoebus Rosakis
Date Deposited: 27 Mar 2013 18:39
Last Modified: 21 Sep 2017 16:50
URI: http://preprints.acmac.uoc.gr/id/eprint/223

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