TY - JOUR

T1 - The critical stress in a discrete Peierls-Nabarro model

AU - Ohsawa, K.

AU - Koizumi, H.

AU - Kirchner, H. O.K.

AU - Suzuki, T.

N1 - Funding Information:
We would like to thank Professor S. Takeuchi of the University of Tokyo and Professor T. Ninomiya of Chuo University for helpful discussions. This work is supported by the Japan Society for the Promotion of Science through the award of a research fellowship to one of the authors (H. 0. K. Kirchner) and also through a fellowship to another (K. Ohsawa). This work is based on part of a thesis presented to the University of Tokyo in partial fulfilment of the degree of Doctor of Science by one of the authors (K. 0.).
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1994/1

Y1 - 1994/1

N2 - The Peierls stress is calculated for a discrete Peierls—Nabarro model of a dislocation. Unlike the original continuum model where a continuous distribution of infinitesimal dislocations was considered, the discreteness of the slip plane is maintained throughout the calculation, and the Peierls stress τp is determined as the critical applied stress beyond which the stability of the system breaks. Results for three types of interatomic shear potential are well approximated by the relation τpG∞ exp(−Ah/b), as predicted by the continuum model, G being the shear modulus, b the spacing between slip planes, b the length of the Burgers vector and A a constant depending on the potentials. The magnitude of τp of the discrete model is larger than that of the continuum model for the same sinusoidal potential. Long-range potentials give low τp although they are still larger than experimental values.

AB - The Peierls stress is calculated for a discrete Peierls—Nabarro model of a dislocation. Unlike the original continuum model where a continuous distribution of infinitesimal dislocations was considered, the discreteness of the slip plane is maintained throughout the calculation, and the Peierls stress τp is determined as the critical applied stress beyond which the stability of the system breaks. Results for three types of interatomic shear potential are well approximated by the relation τpG∞ exp(−Ah/b), as predicted by the continuum model, G being the shear modulus, b the spacing between slip planes, b the length of the Burgers vector and A a constant depending on the potentials. The magnitude of τp of the discrete model is larger than that of the continuum model for the same sinusoidal potential. Long-range potentials give low τp although they are still larger than experimental values.

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U2 - 10.1080/01418619408242216

DO - 10.1080/01418619408242216

M3 - Article

AN - SCOPUS:84953613404

SN - 0141-8610

VL - 69

SP - 171

EP - 181

JO - Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties

JF - Philosophical Magazine A: Physics of Condensed Matter, Structure, Defects and Mechanical Properties

IS - 1

ER -