A study of decoupled FEM for incompressible hyperelastic material (GSMAC-FEM) analysis of Mooney-Rivlin material

In the present paper, incompressible hyperelastic material is analysed, using a decoupled FEM that developed from MAC method in FDM. We propose a new decoupled FEM for incompressible hyperelastic material by introducing Lagrangian method and Newmark-beta method to Eulerian governing equations. For hyperelastic materials, mixed FEM is generally used, but decoupled FEM that has some advantages is not used. GSMAC-FEM for Mooney-Rivlin material is especially realized in the present paper. This new method is verified in plane strain problems. Adding of a viscous term to the constitutive equation of Mooney-Rivlin material can cause its static state as time goes to infinity. The computed solutions fully have very good agreements with the exact solutions in its static state, fulfilling the incompressibility constraint condition.