  This work is concerned with the numerical simulation of elastoplastic,
electromagnetic and thermal response of aerospace materials due to their
interaction with a plasma arc under lightning strike conditions. Current
approaches treat the interaction between these two states of matter either in a
decoupled manner or through one-way coupled 'co-simulation'. In this paper a
methodology for multiphysics simulations of two-way interaction between
lightning and elastoplastic materials is presented, which can inherently
capture the non-linear feedback between these two states of matter. This is
achieved by simultaneously solving the magnetohydrodynamic and the
elastoplastic systems of equations on the same computational mesh, evolving the
magnetic and electric fields dynamically. The resulting model allows for the
topological evolution and movement of the arc attachment point coupled to the
structural response and Joule heating of the substrate. The dynamic
communication between the elastoplastic material and the plasma is facilitated
by means of Riemann problem-based ghost fluid methods. This two-way coupling,
to the best of the authors' knowledge, has not been previously demonstrated.
The proposed model is first validated against experimental laboratory studies,
demonstrating that the growth of the plasma arc can be accurately reproduced,
dependent on the electrical conductivity of the substrate. It is then
subsequently evaluated in a setting where the dynamically-evolved properties
within the substrate feed back into the plasma arc attachment. Results are
presented for multi-layered substrates of different materials, and for a
substrate with temperature-dependent electrical conductivity. It is
demonstrated that these conditions generate distinct behaviour due to the
interaction between the plasma arc and the substrate.
