123 citations · 726 across the 40 of their papers we have counts for
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Disclinations in the geometric theory of defects
M. O. Katanaev
In the geometric theory of defects, media with a spin structure, for example, ferromagnet, is considered as a manifold with given Riemann--Cartan geometry. We consider the case wit…
Torsional Elastic Waves in Cylindrical Waveguide with Wedge Dislocation
M. O. Katanaev
We describe propagation of torsional elastic waves in cylindrical waveguide with wedge dislocation in the framework of geometric theory of defects. The defect changes the dispersio…
Introduction to the Geometric Theory of Defects
M. O. Katanaev
We describe defects - dislocations and disclinations - in the framework of Riemann-Cartan geometry. Curvature and torsion tensors are interpreted as surface densities of Frank and…
Geometric Theory of Defects
M. O. Katanaev
A description of dislocations and disclinations defects in terms of Riemann--Cartan geometry is given, with the curvature and torsion tensors being interpreted as the surface densi…
Wedge Dislocation in the Geometric Theory of Defects
M. O. Katanaev
We consider a wedge dislocation in the framework of elasticity theory and the geometric theory of defects. We show that the geometric theory reproduces quantitatively all the resul…