Model of the motion and shock waves in two-phase solids with phase transitions

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Abstract

The one-velocity and one-temperature model of the motion of a two-phase solid, in which each phase occupies a certain part of the volume, is considered. The investigation is carried out in Lagrangian variables, which offers certain advantages in solving one-dimensional nonstationary problems. The stress tensor for the mixture is decomposed into two parts -hydrostatic pressure, common to the two phases, associated with the three-term equation of state, and the deviator, which varies elastically up to a certain value and then remains constant. A certain relation, determined by the characteristic reaction time, is proposed for the phase transition kinetics. Then a solution is obtained for the problem of the nonstationary one-dimensional motion of a metal (iron) resulting from the impact of a plate against a target. The phase transitions (Feα⇌Fee{open}) behind the wave and their characteristic time have an important effect on the damping of the disturbance and on the zone in which these transitions go to completion. A method is proposed for determining the coefficient in the relation for the phase transition rate from the residual effect (hardening) after impact.

Original languageEnglish
Pages (from-to)86-93
Number of pages8
JournalJournal of Applied Mechanics and Technical Physics
Volume11
Issue number1
DOIs
Publication statusPublished - Jan 1970
Externally publishedYes

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