ИСТИНА

Dynamic formulation of the problem on pressing of a thin perfectly rigid plastic layer by absolutely rigid plates moving together with constant velocities, involves two typical nondimensional parameters. One of them is a depending on time small geometric parameter which is equal to ratio of layer thickness to length. The order of its smallness with respect to another nondimensional parameter which is inverserly proportional to the Euler number and does not depend on time, increases by time. This value is being to assume many less than 1 too. In accordance with ratio of two mentioned parameters (i.e. at various time intervals) the analytical procedure of asymptotic integration is realized. Time multiscale structure of the asymptotical solution is discussed as well as possibility of a smooth sewing of time asymptotics is demonstrated. The ratio of two mentioned nondimensional parameters when the correction for pressure caused by the inertia terms, has the order equal to the terms which are present in the classic Prandtl solution of a quasistaic problem, is obtained.