A new discrete Kirchhoff‐Mindlin element based on Mindlin‐Reissner plate theory and assumed shear strain fields—part I: An extended DKT element for thick‐plate bending analysis

Abstract

Abstract This is the first of a two‐part paper on plate bending elements with shear effects included. This paper presents a new three‐node, nine‐d.o.f. triangular plate bending element valid for the analysis of thick to thin plates. The element, called DKMT, has a proper rank (contains no spurious zero‐energy modes), passes the patch test for thin and thick plates in an arbitrary mesh and is free of shear locking. Very good results have been obtained for thin and thick plates' by the element. An extended DKQ element for thick‐plate bending analysis is evaluated in Part II. 24