O. J. B. Almeida Pereira
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 2D and 3D, 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.
KEY WORDS: equilibrium
finite elements; spurious kinematic modes; convergence; linear elasticity.