Development of high-performance finite elements for thick, moderately
thick, as well as thin shells and plates, was one of the active areas of
the finite element technology for 40 years, followed by hundreds of
publications. A variety of shell elements exist in the FE codes, but
“the best” finite element is still to be discovered. The paper deals
with an evaluation of some existing shell finite elements, from the
point of view of the third of three requirements to be satisfied by
theelement: ellipticity, consistency and inf-sup condition. It is
difficult to prove the inf-sup condition analytically, so, a numerical
verification is proposed. A set of numerical tests is considered for
shell and plate problems. Two norm matrices and a selection of the
stiffness matrices (bending, shear and membrane dominated) are analysed.
Finite elements from various computer systems can be evaluated and
compared with the use of the proposed tests.