  We propose a local type of B-bar formulation, addressing locking in
degenerated Reissner-Mindlin plate and shell formulations in the context of
isogeometric analysis. Parasitic strain components are projected onto the
physical space locally, i.e. at the element level, using a least-squares
approach. The formulation allows the flexible utilization of basis functions of
different order as the projection bases. The present formulation is much
cheaper computationally than the classical $\bar{B}$ method. We show the
numerical consistency of the scheme through numerical examples, moreover they
show that the proposed formulation alleviates locking and yields good accuracy
even for slenderness ratios of $1 \times 10^5$, and has the ability to capture
deformations of thin shells using relatively coarse meshes. In addition it can
be opined that the proposed method is less sensitive to locking and mesh
distortion.
