2017 Volume 2017 Pages 20170001
An F-bar aided edge-based smoothed finite element methods with four-node tetrahedral elements (F-barES-FEM-T4) in large deformation explicit dynamics for nearly incompressible materials is proposed. Because F-barES-FEM-T4 is based on on the standard displacement-based variational formulations, it can be easily applied to dynamic analysis by adding the term of inertia to the static equilibrium equation. Some example analyses of explicit dynamics for simple and complex shapes reveal that the proposed method can suppress volumetric locking and pressure oscillation in dynamic explicit cases as well as in static implicit cases. Meanwhile, these analyses also reveal that the proposed method causes energy divergence in long-term analyses. As the speed of energy divergence can be suppressed by increasing the smoothing level, the proposed method with sufficient smoothing presents good results in relatively short-term analyses.
