This article is cited in 1 paper

The threshold behavior of mechanical characteristics in Non-Euclidean model of continua

M. A. Guzev^a, M. A. Shepelov<sup>b

a</sup> Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
^b Institute for Automation and Control Processes, Far Eastern Branch of the Russian Academy of Sciences

Abstract: The behavior of the material containing dislocations is investigated. The Non-Euclidean model of continua is used for description of the stress state. It is shown that the obtained solution is characterized by the threshold behavior.

Key words: dislocations, defects of structure, the Burgers tensor, Non-Euclidean model of continua.

UDC: 359.3

MSC: 74С15

Received: 08.12.2009