Robust hybrid/mixed finite elements for rubber-like materials under severe compression

Abstract A new family of hybrid/mixed finite elements optimized for numerical stability is introduced. It comprises a linear hexahedral and quadratic tetrahedral elements. The element formulation derived from consistent linearization well-known three-field functional related to Simo–Taylor–Pister () For the we derive (static reduced) discontinuous hybrid elements, as well continuous mixed with additional primary unknowns hydrostatic pressure dilation, whereas type. can readily be used in combination any isotropic, invariant-based hyperelastic material model considered being locking-free. In representative benchmark test assessed compared -elements implemented commercial code Abaqus/Standard. show significant advantage concerning robustness.