ИССЛЕДОВАНИЕ СТОХАСТИЧЕСКИХ ПРОСТРАНСТВЕННЫХ ПРОЦЕССОВ МЕХАНИКИ РАЗРУШЕНИЯ ПРИ ПРОНИКАНИИ ТЕЛ В СРЕДЫ

МЕХАНИКА

Abstract

Stochastic spatial processes of destruction mechanics at penetration of bodies into media are investigated. Various phenomenological models by applying the methods of nonlinear wave dynamics combined with modern methods of studying the stochastic processes in problems of phase transitions from the pore motion at the micro–mezzo level to macro fractures are considered. For the known model of Garson–Tvergard–Nidelman describing the dynamics of micropores, in the equation for the velocity of the porosity change instead of the Gauss distribution for the probability density, its nonlinear generalization is introduced, which is easy to calculate for different values of the nonlinearity coefficient. The problem of penetration of thin sharpened bodies into the half-space, taking into account the presence of porosity, on the basis of the two component nonlinear media of Bio is considered.