A thin plate element based on the combined arbitrary Lagrange-Euler and absolute nodal coordinate formulations

摘要

The goal of this study is to expand the combination of the arbitrary Lagrange-Euler (ALE) and absolute nodal coordinate formulation (ANCF) to plate elements. In the ALE-ANCF method, nodal coordinates are not associated with any specific material points. This means that nodal positions in a finite element mesh can be varied during simulations forward in time. This article contains a description of the kinematics and equation of motion of a thin ALE-ANCF plate element. The element kinematics is described using C~1 continuous shape functions and elastic forces are evaluated using a combined membrane and curvature approach. The presented plate element formulation is validated by comparison with a conventional ANCF plate element.