z-logo
Premium
A Serendipity cubic‐displacement hybrid‐stress element for thin and moderately thick plates
Author(s) -
Spilker Robert L.,
Munir Nasir I.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150811
Subject(s) - stress (linguistics) , node (physics) , displacement (psychology) , structural engineering , finite element method , element (criminal law) , materials science , geometry , stiffness , mathematics , engineering , law , psychology , philosophy , linguistics , political science , psychotherapist
A hybrid‐stress element is developed for the analysis of thin and moderately thick plates. The independent transverse displacement and rotations are interpolated by the 12‐node cubic Serendipity shape functions. All components of stress are included and 36β stress assumption is used. The element stiffness possesses correct rank and numerical results indicate that the element does not lock in the thin‐plate limit. Results obtained using the present element are compared with those obtained using a 12‐node assumed‐displacement based Mindlin plate element with reduced integration; the present hybrid‐stress element is shown to yield superior accuracy for all cases considered. In addition, the accuracy of the present element is compared against that of analogous 4‐node and 8‐node hybrid‐stress Mindlin plate elements.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here