Continuous theory of dislocations and disclinations in a two-dimensional medium (Q1819610)

A system of equations describing mobile defects in a two-dimensional Cosserat continuum, i.e. in a medium whose motion is determined by the displacement field and rotation field independent of it, is obtained. The basic equations of the static theory and dynamic continuous theory of defects (dislocations and disclinations) are known for a three- dimensional medium, obtained by a variety of methods. A dislocation model of the misalignment surfaces used in describing the Martensitic transformations is proposed.