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Hybrid equilibrium hexahedral elements and super-elements. (English) Zbl 1132.74043

Summary: Equilibrated solutions, locally satisfying all the equilibrium conditions, may be obtained by using a special case of the hybrid finite element formulation. Unlike simplicial super-elements in two and three dimensions, which are free from spurious kinematic modes, and the quadrilateral super-element with diagonal subdivision, which has exactly one internal spurious kinematic mode, no hexahedral super-element free of external spurious kinematic modes is yet known as far as the author is aware.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74B05 Classical linear elasticity
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