A new method for derivation of locking‐free plate bending finite elements via mixed/hybrid formulation

The shear-locking phenomenon in discrete bending analysis of Mindlin/Reissner plates is investigated. Mixed/hybrid variational principles are introduced which, unlike the rigorous displacement model, allow systematic derivation of locking-free finite elements. This is achieved by satisfaction of an auxiliary condition, having the clear physical interpretation of shear-force elimination on account of equilibrium. An example, using competitive techniques, demonstrates the applicability of the idea.