Preprint 82/2005

On the passage from atomic to continuum theory for thin films

Bernd Schmidt

Contact the author: Please use for correspondence this email.
Submission date: 13. Sep. 2005
Pages: 54
published in: Archive for rational mechanics and analysis, 190 (2008) 1, p. 1-55 
DOI number (of the published article): 10.1007/s00205-008-0138-0
Download full preprint: PDF (615 kB), PS ziped (456 kB)

We give a rigorous derivation of continuum theory from atomic models for thin films as proposed by Friesecke and James in [JMPS 48 (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 formula3 director fields when formula5 is the (fixed) number of atomic film layers.

18.10.2019, 02:12