Simulation of weak non-homogeneity by the Euler description of continuum

Deformation process in weakly inhomogeneous in initial time moment continuum is simulated using asymptotic procedure, in which the process in homogeneous medium is taken as nil approximation. Particle trajectory deviations in the perturbed process with respect to the corresponding non-perturbed process are analyzed. Deviation measures are suggested and the perturbed motion classification according to these measures is obtained. The trajectory approach is illustrated on example of the problem of inhomogeneous in radius incompressible ideally plastic tube spreading under pressure drop on inner and outer surfaces.