The article discusses the process of grinding of the solid aggregates of the lacustrine sapropel based on the model of mechanics of deformed solid body. As the result of simulation the initially-final problem on theory of elasticity is solved by the method of integral transformations. The research presents a numerical description of the tensed and deformed states of the solid aggregates of sapropel in dependence with the rates of loadings and geometric parameters. It discovered space and time distribution of the main tangent stresses influencing sufficiently the process of destruc-tion and degree of the given material grinding.
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