“…Furthermore, when the structure is subjected to a projectile impact, separation events such as the fragmentation of the concrete matrix are inevitable, adding to the difficulty of describing such structural behaviors precisely. Many different numerical approaches have been utilized to trace the structural responses with the progress of a projectile across the depth, and the finite element method (FEM) based on a Lagrangian element has been commonly used in the impact analyses of concrete structures (Goda and Girardot, 2021; Kristoffersen et al., 2021; Lee et al., 2022; Sun and Xu, 2022; Zhang et al., 2021), as the FEM provides not only high accuracy in the numerical results but also efficiency in the computational cost. However, it is also true that the FEM may cause distortions of elements in large deformation problems related to severe explosion or impact loadings (Wu et al., 2016).…”