Classical Shell Model Underlying the Bilinear Degenerated 3D FEM.

摘要

We study the shell models arising in the numerical modeling of shells by geometrically incompatible finite element. We build a connection from the so-called bilinear degenerated 3D FEM to the classical 2D shell theory of Reissner-Naghdi type showing how nearly equivalent finite element formulations can be constructed within the classical framework. The connection found here facilitates the mathematical error analysis of the bilinear elements based on the degenerated 3D approach. In particular, the connection reveals the 'secrets' that related to the treatment of locking effects within this formulation.