Reissner-Mindlin Legendre Spectral Finite Elements with Mixed Reduced Quadrature

Journal Article · Mon Oct 01 04:00:00 EDT 2012 · Finite Elements in Analysis and Design

DOI:https://doi.org/10.1016/j.finel.2012.04.009· OSTI ID:1047333

Brito, Kazh D.; Sprague, Michael A.

Legendre spectral finite elements (LSFEs) are examined through numerical experiments for static and dynamic Reissner-Mindlin plate bending and a mixed-quadrature scheme is proposed. LSFEs are high-order Lagrangian-interpolant finite elements with nodes located at the Gauss-Lobatto-Legendre quadrature points. Solutions on unstructured meshes are examined in terms of accuracy as a function of the number of model nodes and total operations. While nodal-quadrature LSFEs have been shown elsewhere to be free of shear locking on structured grids, locking is demonstrated here on unstructured grids. LSFEs with mixed quadrature are, however, locking free and are significantly more accurate than low-order finite-elements for a given model size or total computation time.

• Research Organization: National Renewable Energy Laboratory (NREL), Golden, CO (United States)
• Sponsoring Organization: USDOE Office of Energy Efficiency and Renewable Energy (EERE)
• DOE Contract Number: AC36-08GO28308
• OSTI ID: 1047333
• Report Number(s): NREL/JA-2C00-55114
• Journal Information: Finite Elements in Analysis and Design, Journal Name: Finite Elements in Analysis and Design Journal Issue: October 2012 Vol. 58
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
ACCURACY
BENDING
DYNAMICS
ELEMENTS
FUNCTIONS
GRIDS
PLATES
QUADRATURES
SHEAR
SIZE
SOLUTIONS
finite element
high order
numerical methods