EAS concept for higher‐order finite shell elements to eliminate volumetric locking

Abstract

SUMMARYThe deficiency of volumetric locking phenomena in finite elements using higher-order shell element formulations based on Lagrangean polynomials and a linear finite shell kinematics cannot be avoided by the existent enhanced assumed strain (EAS) concept established for low-order elements. In this paper a consistent modification of the EAS concept is proposed to extend its applicability to higher-order shell elements. This modification, affecting the transversal normal strain for polynomial orders p>1, eliminates pathological modes caused by volumetric locking. The efficiency of the proposed extended EAS method is demonstrated by means of eigenvalue analyses and two representative numerical examples.

A Legendre spectral element model for sloshing and acoustic analysis in nearly incompressible fluids

“…These Gauss-Lobatto-Legendre points reduce oscillations of the corresponding shape functions [29]. They are characterized by the property,…”