Stabilized finite element method for incompressible solid dynamics using an updated Lagrangian formulation

This paper proposes a novel way to solve transient linear, and non-linear solid dynamics for compressible, nearly incompressible, incompressible material in the updated Lagrangian framework tetrahedral unstructured finite elements. It consists of mixed formulation both displacement pressure, where momentum equation continuum is complemented with pressure that handles incompresibility inherently. obtained through deviatoric volumetric split stress, enables us problem limit. The Varitaional Multi-Scale method (VMS) developed based on orthogonal decomposition variables, which damps out spurious fields piece wise linear Various numerical examples are presented assess robustness, accuracy capabilities our scheme bending dominated problems, complex geometries.