Hybrid-equilibrium elements with control of spurious kinematic modes

  • Edward Anthony Ward Maunder University of Exeter
  • Jose Paulo Moitiniho de Almeida Technical University of Lisbon

Abstract

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 considered algebraically for both primitive and macro-elements, the latter providing a means of controlling or removing the spurious modes in the former. Consideration is given to stress fields which are statically admissible, and to Trefftz stress fields which are both statically and kinematically admissible.

Keywords

References

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Published
Jun 19, 2023
How to Cite
WARD MAUNDER, Edward Anthony; MOITINIHO DE ALMEIDA, Jose Paulo. Hybrid-equilibrium elements with control of spurious kinematic modes. Computer Assisted Methods in Engineering and Science, [S.l.], v. 4, n. 3-4, p. 587-605, june 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1393>. Date accessed: 23 dec. 2024.
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Articles