Atomistic viewpoint of the applicability of microcontinuum theories

By Youping Chen, James D. Lee, Azim Eskandarian. 2004

275 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/430e09dee5e0ab1ec1959fb033bfd5cdd7972ebc

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates (2016, methodology): “[41] analyzed the applicability of the microcontinuum theories such as microstructure theory, micropolar theory, Cosserat theory, nonlocal theory and couple stress theory from the atomistic viewpoint of lattice dynamics and molecular dynamics.”
Impact Mechanics and High-Energy Absorbing Materials: Review (2008, background): “A discussion of the relation between nonlocal theories and atomistic models can be found in, e.g., Chen et al. (2004).”
Implementing peridynamics within a molecular dynamics code (2007, background): “The PD theory of continuum mechanics belongs to the class of microcontinuum theories defined by generalizing the local force assumption to allow force at a distance (see [1,3] for general discussions and references) so introducing a length-scale.”
On the well-posedness of the linear peridynamic model and its convergence towards the Navier equation of linear elasticity (2007, unknown): “[11, 10], Lei et al.”
A novel atomistic approach to determine strain-gradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers and the (Ir) relevance for nanotechnologies (2007, methodology): “47 1Also see Chen et al. (2003, 2004) for work more focused on micromorphic theories.”
A unifying perspective: the relaxed linear micromorphic continuum (2013, unknown): “Viewed first as a formal theoretical investigation, the micromorphic models (12 dof) derived by Eringen and Suhubi [50], Mindlin [107,108,110,112] and Toupin [165,166] are justified recently as more realistic continuum models based on molecular dynamics and ensemble averaging [26,27,97,169,171].”