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Trinh Van Khoa

Publications and source records attributed to Trinh Van Khoa.

3 recordsLinked to original sources

q-Plastic deformation

It is known that the appearance of the order state in continuous medium is the result of the spontaneous breaking of the symmetry. The collective fashion was used in the role of carrier maintaining the order state, may be considered as plastic fashion. In other world, the order state exists because of the concentration of strength in the medium. In this case the symmetry regulates the character of this concentration. At general in the process of plastic deformation may exist as such situation : Formation of order state = Spontaneous breaking symmetry = Reconstruction of symmetry. However, in this situation the reconstruction of symmetry turns to no reduction of symmetry but to the q-symmetry. Here we, in secret sense, identity the process of reconstruction of symmetry with the process of "quantization" of group Lie in the deformation bundle . The parameters $q$ plays the role of the parameter of regulation. In this paper we used the formalism BRST to carry out the procedure of "secondary calculus".

cond-mat↗

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

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.

cond-mat↗