The effect of voids shape on hypervelocity cylindrical cavity expansion and shock waves formation in transversely isotropic porous materials

This paper investigates the steady-state dynamic radial expansion of a pressurized circular cylindrical cavity in an infinite porous medium modeled with constitutive framework developed by Monchiet et al. (Int J Plast 24:1158–1189, 2008), which considers material to display periodic microstructure spheroidal voids and matrix described orthotropic yield criterion Hill (Proc R Soc Lond Ser A Math Phys Sci 193:281–297, 1948). For that purpose, we have extended formulation dos Santos Impact Eng 132:103325, 2019b) consider oblate prolate voids, allows assess role initial shape on elastoplastic–anisotropic fields develop near cavity. The theoretical development follows formalism Cohen Durban (J Appl Mech 80:011017, 2013) employs artificial viscosity approach Lew Comput Aided Mater Des 8:213–231, 2001) avoid singularities field variables due formation plastic shock waves. main outcome this work is relationship between critical velocity for shocks emerge aspect ratio voids. results show delayed comparison spherical These findings been substantiated different anisotropic behaviors void volume fractions.