Kinetics theory of shock-induced structural heterogenization

In considering the shock wave propagation in solid, instead of traditional constitutive equation, the lockingof balance equations is conducted by using the mesoparticle velocity distribution function. In this approach, the dynamically deformed material is considered to be the stochastic medium and the particle velocity and velocity dispersion are determined as the first and second statistical moments of distribution function. Meso-macro- energy exchange is found to be realized through change of the particle velocity dispersion - the second moment of distribution function. The criterion for transition from evolutional regime of meso-macro energy exchange to heterogenization is found to be determined by the ratio of rate of change the velocity dispersion and particle velocity acceleration.