RT Journal Article T1 Size effects on the plastic shock formation in steady-state cavity expansion in porous ductile materials A1 Dos Santos, Tiago A1 Rodriguez Martinez, Jose Antonio AB In this paper, we have studied the hypervelocity expansion of a spherical cavity in an infinite medium modeled with the extension of the porous plasticity criterion of Gurson (1977) developed by Chen and Yuan (2002) to account for plastic strain gradient induced size effects. Following the self-similar, steady-state solution derived by Cohen and Durban (2013) for size-independent porous materials, we have computed the critical cavity expansion velocity which leads to the emergence of plastic shock waves for a wide range of initial void volume fractions and different values of the length scale parameter that controls the effect of size. We have shown that size effects hinder the emergence of plastic shock waves, so that as the length scale parameter increases, the expansion velocity required for the plastic shock to be formed increases. In addition, while porosity favors the formation of plastic shocks, as shown by Cohen and Durban (2013), our results indicate that the effect of initial void volume fraction on plastic shock wave formation decreases for size-dependent materials. PB Elsevier SN 0093-6413 YR 2021 FD 2021-04 LK https://hdl.handle.net/10016/32706 UL https://hdl.handle.net/10016/32706 LA eng NO TdS wishes to acknowledge the support of FAPERGS, Fundaçã de Amparo à Pesquisa do Estado do Rio Grande do Sul, grant agreement 19/2551-0001054-0.JAR-M acknowledges the financial support obtained from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme. Project PURPOSE, grant agreement 758056. DS e-Archivo RD 30 jun. 2024