A new method for derivation of locking-free plate bending finite elements via mixed/hybrid formulation. (English) Zbl 0634.73065
Summary: 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.
MSC:
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 65K10 | Numerical optimization and variational techniques |
| 74K20 | Plates |
Keywords:
generalized Hellinger-Reissner functional; shear-locking phenomenon; discrete bending analysis; Mindlin/Reissner plates; Mixed/hybrid variational principles; locking-free finite elementsReferences:
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