The hybrid‐stress model for thin plates

Abstract

AbstractThe assumed‐stress hybrid finite element model is examined for application to the bending analysis of thin plates. A hybrid‐stress functional is defined by using a Mindlin‐type displacement assumption and including all components of stress. The Euler equations and matrix formulation corresponding to this functional are examined to assess the effects of plate thickness, and a rationale is presented for the selection of stress assumptions so that locking is avoided in the thin plate limit. To illustrate these concepts, a series of linear displacement quadrilateral elements are derived and tested, and the best of these elements is identified for suggested implementation in general‐purpose computer programs.