Eur. Phys. J. B 1, 429-437 (1998)
https://doi.org/10.1007/s100510050206

Special interaction between quasiperiodic grain boundaries and lattice dislocations in crystalline solids

Institute of Machine Science Problems, Russian Academy of Sciences, Bolshoj 61, Vas.Ostrov, St.Petersburg 199178, Russia

Corresponding author: ^a gutkin@pgpt.ioffe.rssi.ru

Received: 29 October 1996
Revised: 22 August 1997
Accepted: 13 November 1997
Published online: 15 February 1998

Abstract

A theoretical model is suggested which describes phason imperfections (specific excitations) in a quasiperiodic grain boundary in a polycrystalline solid as dilatation flexes. In the framework of the model, an elastic stress field of the quasiperiodic grain boundary is calculated as a stress field created by an ensemble of dilatation flexes (phason imperfections) located in the boundary. It is shown that there is a special elastic interaction between crystal lattice defects and quasiperiodic grain boundaries comprising phason imperfections. The strengthening effect in plastically deformed polycrystalline solids is quantitatively described which is related to the special elastic interaction between lattice dislocations and quasiperiodic grain boundaries.