On the Passage from Atomic to Continuum Theory for Thin FilmsReport as inadecuate




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Archive for Rational Mechanics and Analysis

, Volume 190, Issue 1, pp 1–55

First Online: 09 August 2008Received: 01 December 2005Accepted: 19 February 2007

Abstract

We give a rigorous derivation of a continuum theory from atomic models for thin films. This scheme has been proposed by Friesecke and James in J. Mech. Phys. Solids 48 , 1519–1540 2000. The resulting continuum energy expression is obtained by integrating a stored energy density which not only depends on the deformation gradient, but also on ν-1 director fields when ν is the fixed number of atomic film layers.

Communicated by K. Bhattacharya

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Author: Bernd Schmidt

Source: https://link.springer.com/







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