Computer simulation of Peierls stress by using lattice statics Green's function

K. Ohsawa, E. Kuramoto, T. Suzuki

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The Peierls stress τP is calculated for a discrete lattice model with changing the geometrical factor of the crystal h/b, where h is the spacing of the slip plane and b is the Burgers vector. Unlike the continuum model where a continuous distribution of the infinitesimal dislocation is assumed, the Peierls stress is determined as the critical applied stress beyond which no stable configuration of dislocation is found. The positions of atoms are calculated by the lattice statics Green's function. The results for the lattice model are well approximated by the exponential relation, τP/G ∼ exp(-Ah/b), as predicted by the continuum model, where G is the shear modulus. The Peierls stresses for some interatomic potentials are slightly lower than those obtained from experiments. The period of the Peierls potential derived from the lattice model is b, which is identical to the lattice constant.

Original languageEnglish
Pages (from-to)302-305
Number of pages4
JournalMaterials Science and Engineering A
Volume234-236
Publication statusPublished - Aug 30 1997

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Green's function
Green's functions
computerized simulation
Computer simulation
continuums
Burgers vector
critical loading
Lattice constants
slip
Elastic moduli
spacing
shear
Atoms
Crystals
configurations
crystals
atoms
Experiments

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Computer simulation of Peierls stress by using lattice statics Green's function. / Ohsawa, K.; Kuramoto, E.; Suzuki, T.

In: Materials Science and Engineering A, Vol. 234-236, 30.08.1997, p. 302-305.

Research output: Contribution to journalArticle

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