Skip to Main content Skip to Navigation
Journal articles

Lattice dynamics from a continuum viewpoint

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.
Complete list of metadata

Cited literature [74 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01853071
Contributor : Open Archive Toulouse Archive Ouverte (oatao) <>
Submitted on : Thursday, August 2, 2018 - 2:44:07 PM
Last modification on : Tuesday, April 27, 2021 - 11:38:03 AM
Long-term archiving on: : Saturday, November 3, 2018 - 3:18:05 PM

File

Charlotte_16465.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

M. Charlotte, Lev Truskinovsky. Lattice dynamics from a continuum viewpoint. Journal of the Mechanics and Physics of Solids, Elsevier, 2012, 60 (8), pp.1508-1544. ⟨10.1016/j.jmps.2012.03.004⟩. ⟨hal-01853071⟩

Share

Metrics

Record views

310

Files downloads

1037