A 2ND-ORDER GODUNOV ALGORITHM FOR 2-DIMENSIONAL SOLID MECHANICS

The second-order Godunov method is extended to dynamic wave propagatio n in two-dimensional solids undergoing nonlinear finite deformation. I t is shown that this explicit method is linearly stable for timesteps satisfying the standard CFL condition, does not support the developmen t of hourglass modes, and handles non-reflecting boundaries very natur ally. The computational cost is essentially one evaluation of the kine tic equation of state per cell and timestep, the same as explicit fini te element methods employing reduced quadrature.