An anisotropic thin crystal deformed by an inclined dislocation

Abstract

International audienceThe elastic field around a dislocation piercing obliquely an anisotropic thin crystal is obtained by combining the classical solution applicable to an infinite anisotropic crystal with an analysis using the concept of continuous dislocation density. Numerical applications are presented for inclined dislocations in Ni3Al and Ni

Lattice with vacancies: elastic fields and effective properties in frameworks of discrete and continuum models

“…In continuum mechanics, such defects are modelled as pores in a homogeneous elastic medium, and continuum mechanics tools are used for calculation of displacement fields [1], elastic interaction of defects [2], effective properties of imperfect crystals [3], etc. Although the continuum mechanics modelling is expected to be appropriate for the effective properties [4], it may become inadequate at microscale, in particular, near vacancies, where the discreteness plays important role [5,6]. For example, Krivtsov and Morozov [7] have shown that the effect of discreteness is significant even in the absence of surface tension [8].…”