A surface Cauchy-Born model for silicon nanostructures
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Publication:1013873
DOI10.1016/j.cma.2007.12.004zbMath1159.74312OpenAlexW2068994490WikidataQ106473906 ScholiaQ106473906MaRDI QIDQ1013873
Harold S. Park, Patrick A. Klein
Publication date: 23 April 2009
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2007.12.004
Finite element methods applied to problems in solid mechanics (74S05) Micromechanical theories (74A60) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
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Cites Work
- Unnamed Item
- Multiscale plasticity modeling: Coupled atomistics and discrete dislocation mechanics
- A continuum model for size-dependent deformation of elastic films of nano-scale thickness
- An atomistic-based finite deformation membrane for single layer crystalline films
- An introduction to computational nanomechanics and materials
- A bridging domain method for coupling continua with molecular dynamics
- Discrete-to-continuum bridging based on multigrid principles
- A temperature equation for coupled atomistic/continuum simulations
- A finite element formulation for nanoscale resonant mass sensing using the surface Cauchy-Born model
- A multiscale, finite deformation formulation for surface stress effects on the coupled thermomechanical behavior of nanomaterials
- A continuum theory of elastic material surfaces
- Coupling of atomistic and continuum simulations using a bridging scale decomposition.
- The elastic modulus of single-wall carbon nanotubes: a continuum analysis incorporating interatomic potentials.
- A dynamic atomistic--continuum method for the simulation of crystalline materials
- Multiscale modeling of the dynamics of solids at finite temperature
- Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
- Deformation of FCC nanowires by twinning and slip
- Coupled atomistic--continuum simulations using arbitrary overlapping domains
- A scaling law for properties of nano-structured materials
- A surface Cauchy–Born model for nanoscale materials
- The Cauchy relations in a molecular theory of elasticity
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