Duality in process of noncommutative deformation and topological nature of integral Cherepanov-Rice

Details Duality in process of noncommutative deformation and topological nature of integral Cherepanov-Rice Duality in process of noncommutative deformation and topological nature of integral Cherepanov-Rice

2003-03-23

arxiv.org/abs/cond-mat/0303491v1

Physics

Condensed Matter

LaTeX, 8 pages, no figures

Scientific paper

In this papers it is showed, that for the noncommutative deformation simultaneously exist also loading deformation $H $, and unloading deformation $H^v $. The real deformation is a combination of these types deformations. The criterion of destruction $J $ reflects topological character of environment, i.e. defines properties of symmetry of environment at destruction. It is possible to tell, that during destruction the energy is released not continuously, and discretely. This situation is reflected through topological number Q or number of unloading, connected to him.

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