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Lattice dynamics from a continuum viewpoint

Charlotte, Miguel and Truskinovsky, Lev Lattice dynamics from a continuum viewpoint. (2012) Journal of the Mechanics and Physics of Solids, 60 (8). 1508-1544. ISSN 0022-5096

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Official URL: http://dx.doi.org/10.1016/j.jmps.2012.03.004

Abstract

We develop a novel continuum description of lattice dynamics for a particle chain with nearest neighbor interactions. Our continuum model interpolates discrete solutions and allows one to deal adequately with singular and impact loadings. The resulting theory is local in space and nonlocal in time. It is characterized by a nontrivial hereditary structure which blends inertial and elastic forces. The proposed methodology can be used to build continuum approximations for lattice dynamics which incorporate successively finer scales. It can also serve as a seamless interface between discrete and continuum elasticity theories.

Item Type:Article
HAL Id:hal-01853071
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Ecole nationale supérieure des Mines d'Albi-Carmaux - IMT Mines Albi (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Other partners > Ecole Polytechnique (FRANCE)
Other partners > Mines ParisTech (FRANCE)
Laboratory name:
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Deposited By: Miguel CHARLOTTE
Deposited On:24 Nov 2016 16:25

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