Efficient boundary conditions for molecular statics models of solids

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A method is presented for finding the boundary conditions for computer simulations based on molecular statics models. The boundary condition is expressed as a mapping from the atoms inside the boundary to the atoms outside and it models the effect of the surrounding atoms, which are too many to be modeled explicitly. The boundary condition is computed with a variational approach using lattice statics Green's functions as test functions. As examples, these boundary conditions are applied to systems with dislocations and cracks.

Original languageEnglish (US)
Article number104112
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume80
Issue number10
DOIs
StatePublished - Sep 23 2009

Fingerprint

static models
Boundary conditions
boundary conditions
Atoms
atoms
Green's function
Green's functions
cracks
computerized simulation
Cracks
Computer simulation

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Efficient boundary conditions for molecular statics models of solids",
abstract = "A method is presented for finding the boundary conditions for computer simulations based on molecular statics models. The boundary condition is expressed as a mapping from the atoms inside the boundary to the atoms outside and it models the effect of the surrounding atoms, which are too many to be modeled explicitly. The boundary condition is computed with a variational approach using lattice statics Green's functions as test functions. As examples, these boundary conditions are applied to systems with dislocations and cracks.",
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Efficient boundary conditions for molecular statics models of solids. / Li, Xiantao.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 80, No. 10, 104112, 23.09.2009.

Research output: Contribution to journalArticle

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AB - A method is presented for finding the boundary conditions for computer simulations based on molecular statics models. The boundary condition is expressed as a mapping from the atoms inside the boundary to the atoms outside and it models the effect of the surrounding atoms, which are too many to be modeled explicitly. The boundary condition is computed with a variational approach using lattice statics Green's functions as test functions. As examples, these boundary conditions are applied to systems with dislocations and cracks.

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