Dynamic spherical cavity expansion in brittle ceramics

A spherical cavity expansion model for penetration of ogival-nosed projectiles into concrete targets with shear-dilatancy

“…It is seen that the speed of the cracked-comminuted interface will eventually catch up with the elastic-cracked interface with increasing cavity expansion velocity. Similar observations were made by Forrestal and Tzou [10] for dynamic cavity expansion in concrete and Satapathy [12] in ceramic. It is also seen that the velocities of different region boundaries decrease with increasing value of k. Figure 5 shows that the radial stress at cavity surface will decrease with increasing value of k for different cavity expansion velocities.…”

“…1a): an elastic region, a region with radial cracks (the material reaches its tensile strength) and a comminuted region (the material reaches its shear strength) [8,12,13]. As V increases, the cracked region diminishes and is eliminated eventually [4,10,12]. Hence, for the V large enough, the target response is elastic-comminuted (Fig.…”

“…Damaged Mohr-Coulomb plasticity models and a general pressure-dependent damaged plasticity model were used with compressibility not being catered for. In 2001, Satapathy [12] developed an elastic-crackedcomminuted model for ceramic targets. Compressible model was employed to describe the elastic and cracked regions whilst incompressible model used to describe comminuted region.…”

Dynamic spherical cavity expansion analysis of rate-dependent concrete material with scale effect

“…With generalized Hooke's law, we can express the stressdisplacement relations with spherical symmetry as [11]:…”

“…For the cracked region between elastic and compacted region, analytical solutions are also provided by Satapathy [11] with assumption that the circumferential stress s q is zero due to the presence of radial cracks. Alternatively, the material in the cracked region is only capable of transmitting only radial stress.…”