A dislocation-dipole in one dimensional lattice model

Basant Lal Sharma

doi:10.1080/14786435.2021.1964703

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arXiv · 2009.05591

A dislocation-dipole in one dimensional lattice model

Basant Lal Sharma

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Abstract

A family of equilibria corresponding to dislocation-dipole, with variable separation between the two dislocations of opposite sign, is constructed in a one dimensional lattice model. A suitable path connecting certain members of this family is found which exhibits the familiar Peierls relief. A landscape for the variation of energy has been presented to highlight certain sequential transition between these equilibria that allows an interpretation in terms of quasi-statically separating pair of dislocations of opposite sign from the viewpoint of closely related Frenkel-Kontorova model. Closed form expressions are provided for the case of a piecewise-quadratic potential wherein an analysis of the effect of an intermediate spinodal region is included.

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Basant Lal Sharma. 2020-09-11. A dislocation-dipole in one dimensional lattice model. https://doi.org/10.1080/14786435.2021.1964703

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