A self-consistent unified solid-multiphase flow shock model under complex thermodynamic states: For the application of mass-loaded single-turn coils

Abstract

Single-turn coil (STC) is a destructive pulsed magnet aiming at 100–300 T magnetic field. Mass-loading is the method to increase STC magnetic field. In this study, a unified solid-multiphase flow model is proposed to solve the shock contact problem between the conductor and mass-loading material. This model gives the approach to equate the solid to viscid fluid and equate the melted material to solid and derives the constitutive model for the conductor under non-adiabatic state. Especially, the method to calculate non-adiabatic modulus is investigated. The results show that the equivalent viscosity of solid decreases as the strain rate rises. Moreover, the equivalent shear modulus of the melted solid increases as the strain rate rises, and considering this equivalent shear modulus rather than setting it to zero improves the simulation convergence significantly. This model can provide not only theoretical support for the optimal design of destructive pulse magnets but also methods for theoretical modeling of other types of electromagnetic explosion and shock contact experiments under non-adiabatic condition.