Polkunov Y.G., Karakulina E.O.
THE DEVELOPMENT OF CRACKS IN THE DISCRETE MEDIA WITH DIFFERENT DIAMETER OF GRAIN. ^{[№ 9 ' 2010]}
Article is dedicated to the development of model, which describes the process of destroying the grainy materials. Laws governing formation and development of cracks in the discrete media are established here. The results of the numerical calculation of the coefficients of the intensity of the stresses of the first kind taking into account the diameter of grain are represented.

Polkunov Yu.G., Karakulina E.O.
MATHEMATICAL MODELLING FOR DIAGNOSIS OF ROCK SAMPLES DESTRUCTION ^{[№ 5 ' 2009]}
The article addresses the development of the model describing a process for destruction of granular materials. It proposes the algorithm for numerical calculation that allows determining patterns of formation and development of cracks in discrete environments that are loaded with different tools.

Polkunov Yu.G., Karakulina E.O.
MATHEMATICAL MODELING OF UNSTABLE FISSURES DEVELOPMENT AT GRANULAR MATERIALS ^{[№ 5 ' 2007]}
This article is devoted to the mathematical modeling of discrete sphere destructions. Regularities of microfissures forming at the borders of seeds material are established and a criterion of unstable fissures growth with accounting of seed diameter is worked out in this article.