Wedge Dislocation in the Geometric Theory of Defects

Details Wedge Dislocation in the Geometric Theory of Defects Wedge Dislocation in the Geometric Theory of Defects

2002-05-29

arxiv.org/abs/cond-mat/0205609v2

Theor.Math.Phys. 135 (2003) 733-744; Teor.Mat.Fiz. 135 (2003) 338-352

Physics

Condensed Matter

Materials Science

14 pages, 2 ps figures, minor changes, added references

Scientific paper

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 results of elasticity theory in the linear approximation. The coincidence is achieved by introducing a postulate that the vielbein satisfying the Einstein equations must also satisfy the gauge condition, which in the linear approximation leads to the elasticity equations for the displacement vector field. The gauge condition depends on the Poisson ratio, which can be experimentally measured. This indicates the existence of a privileged reference frame, which denies the relativity principle.

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