### Abstract

The Peierls stress τ_{P} 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, τ_{P}/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 language | English |
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Pages (from-to) | 302-305 |

Number of pages | 4 |

Journal | Materials Science and Engineering A |

Volume | 234-236 |

Publication status | Published - Aug 30 1997 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

*Materials Science and Engineering A*,

*234-236*, 302-305.

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

Research output: Contribution to journal › Article

*Materials Science and Engineering A*, vol. 234-236, pp. 302-305.

}

TY - JOUR

T1 - Computer simulation of Peierls stress by using lattice statics Green's function

AU - Ohsawa, K.

AU - Kuramoto, E.

AU - Suzuki, T.

PY - 1997/8/30

Y1 - 1997/8/30

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=0031207035&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031207035

VL - 234-236

SP - 302

EP - 305

JO - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

JF - Materials Science & Engineering A: Structural Materials: Properties, Microstructure and Processing

SN - 0921-5093

ER -