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Hybrid-equilibrium elements with control of spurious kinematic modes. (English) Zbl 0969.74589

Summary: A review is presented of a recent formulation of hybrid-equilibrium elements for modelling planar structural problems. The formulation is based on the use of polynomials of general degree to approximate internal stress fields and bounding side displacements. The existence of hyperstatic stress fields and spurious kinematic modes are proved algebraically for both primitive and macro-elements, the latter providing a means of controlling or removing the spurious modes in the former. Consideration is also given to stress fields which are statically admissible, and to Trefftz stress fields which are both statically and kinematically admissible.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74K99 Thin bodies, structures
74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids
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