In this paper, an energy-compatibility condition is used for
stress optimization in the derivation of new accurate 8-node
hexahedral elements for three-dimensional elasticity.
Equivalence of the proposed hybrid method to an enhanced
strains method is established, which makes it easy to extend
the method to general nonlinear problems. Numerical
tests show that the resultant elements possess high accuracy at
coarse meshes, are insensitive to mesh distortions and free
from volume locking in the analysis of beams, plates and shells.