“…Therefore, for many real situations, finite element simulations of metal-forming processes considering air-pocketing phenomena could be of great importance. The necessity of finite element simulations considering air-pocketing cannot be overemphasised, particularly in plate forging (Mori et al, 2011;Mori, 2012;Nakano, 2012;Orita, 2012;Kobayashi, 2012;Kim et al, 2010), for which applications have gradually increased. Here, plate forging refers to special forging of material with a large radius-to-thickness ratio that is not large enough to be considered sheet metal forming.…”