Maguerre‐Mindlin shallow shell elements

Abstract

Two isoparametric Lagrangian shallow shell elements are presented: a 4‐node element QUAD4 and a 9‐node element QUAD9. These elements are based on Mindlin/Reissner plate elements as described in a series of papers. These elements are sophisticated by adding conventional membrane stiffness and membrane‐bending coupling terms based on Maguerre's approximate shallow shell theory. This results in double curved shell elements which originally possess severe membrane locking behaviour. This defect is overcome in the same way as the shear locking problem is solved.

Citation

Krause, G. (1989), "Maguerre‐Mindlin shallow shell elements", Engineering Computations, Vol. 6 No. 1, pp. 44-48. https://doi.org/10.1108/eb023758