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- Publisher
- Springer Journals
- Copyright
- Copyright © 2007 by Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-007-0364-5
- Publisher site
- See Article on Publisher Site
Abstract
In order to describe a solid which deforms smoothly in some region, but non smoothly in some other region, many multiscale methods have been recently proposed that aim at coupling an atomistic model (discrete mechanics) with a macroscopic model (continuum mechanics). We provide here a theoretical basis for such a coupling in a one-dimensional setting, in the case of convex energy.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jan 1, 2007