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Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics: the Convex Case

Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics: the... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Analysis of a Prototypical Multiscale Method Coupling Atomistic and Continuum Mechanics: the Convex Case

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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 SinicaSpringer Journals

Published: Jan 1, 2007

References