Thermomechanics of transient oblique compaction shock reflection from a rigid boundary

Transient oblique reflection of resolved compaction shocks in porous material from a rigid planar boundary is computationally examined to characterize how spatial reflection structures vary with reflection angle. The material response is described by a hydrodynamic theory that accounts for both elastic and inelastic volumetric deformation. The mathematical model, expressed in terms of curvilinear coordinates, is numerically integrated using a high-resolution technique. Emphasis is placed on characterizing the relative importance of compression and compaction work as heating mechanisms. Spatially continuous structures are predicted that propagate at speeds below the ambient sound speed of the solid component which are analogous to discontinuous structures for oblique reflection of gas shocks. An analogous transition from a von Neumann reflection to a Mach reflection to a regular reflection is predicted with increasing reflection angle, with high dissipative heating induced by configurations possessing a stem-like structure. Compression and dissipation by rate-dependent compaction are shown to be primary heating mechanisms, whereas dissipation by inelastic compaction is of secondary importance.