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It is known that Selective ES/NS-FEM-T4 and F-barES-FEM-T4 show far better results than standard FEM with first-order tetrahedral elements in static analysis.These formulations resolve the pressure oscillation and locking problems in finite element (FE) analysis for nearly incompressible materials without increasing DOF.In this paper, we apply these formulations to modal and dynamic analysis and evaluate the accuracy and stability.Some demonstration analyses confirm these methods can show the as good accuracy in dynamic and modal analysis as in static one.They reveal that the time evolution of total energy of F-barES-FEM-T4 diverge exponentially due to the asymmetric components of the stiffness matrices of this formulation.

Smoothed finite element method; F-bar method; Large deformation; Pressure oscillation; Locking-free; Modal analysis; Dynamic analysis