Computational Technologies and Mathematical Models for Research, Engineering and Education

Almaty, Kazakhstan, September, 18-20, 2002

Abstracts

Mathematical Modelling

Uniqueness of the solution and stability for a loose material

Oleinikov A.,I., Mogilnikov E.V.

Komsomolsk-na-Amure State Technical University (Komsomolsk-na-Amure)

The important significance in theory of nonlinear elasticity has the theorem uniqueness and stability of a material. For loose materials, which are a special case heterogeneously resisting materials, given problems are investigated unsufficiently completely.

For the elementary model of a loose material the conditions of uniqueness solution of boundary problems in small and large were obtained, and also condition of stability a loose material in small and large, which coincide to conditions of uniquenesses.

Conditions of uniqueness and the stabilities have simple the geometric interpretation, connected to camber of function energy in space of strains.

The work is executed for want of to financial support of Russian Fund Fundamental Researches (RFFR, codes of the projects 01-01-00921, 02-01-06335) and Center of Ministry of Education Russian Federation (code of the project Е00-4.0-123).

Note. Abstracts are published in author's edition

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