Reissner-Mindlin Legendre Spectral Finite Elements with Mixed Reduced Quadrature

Brito, Kazh D.; Sprague, Michael A.

doi:10.1016/j.finel.2012.04.009

Title: Reissner-Mindlin Legendre Spectral Finite Elements with Mixed Reduced Quadrature

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Abstract

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.

Authors:: Brito, Kazh D.; Sprague, Michael A.

Publication Date:: Mon Oct 01 00:00:00 EDT 2012

Research Org.:: National Renewable Energy Lab. (NREL), Golden, CO (United States)

Sponsoring Org.:: USDOE Office of Energy Efficiency and Renewable Energy (EERE)

OSTI Identifier:: 1047333

Report Number(s):: NREL/JA-2C00-55114
TRN: US201216%%196

DOE Contract Number:: AC36-08GO28308

Resource Type:: Journal Article

Journal Name:: Finite Elements in Analysis and Design

Additional Journal Information:: Journal Volume: 58; Journal Issue: October 2012

Country of Publication:: United States

Language:: English

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

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                    Brito, Kazh D., and Sprague, Michael A. Reissner-Mindlin Legendre Spectral Finite Elements with Mixed Reduced Quadrature.  United States: N. p., 2012. 
        Web.  doi:10.1016/j.finel.2012.04.009.

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                    Brito, Kazh D., & Sprague, Michael A. Reissner-Mindlin Legendre Spectral Finite Elements with Mixed Reduced Quadrature.  United States.  https://doi.org/10.1016/j.finel.2012.04.009

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                    Brito, Kazh D., and Sprague, Michael A. 2012.  
        "Reissner-Mindlin Legendre Spectral Finite Elements with Mixed Reduced Quadrature".  United States.  https://doi.org/10.1016/j.finel.2012.04.009.

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@article{osti_1047333,

  title        = {Reissner-Mindlin Legendre Spectral Finite Elements with Mixed Reduced Quadrature},

  author       = {Brito, Kazh D. and Sprague, Michael A.},

  abstractNote = {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.},

  doi          = {10.1016/j.finel.2012.04.009},

  url          = {https://www.osti.gov/biblio/1047333},
  journal      = {Finite Elements in Analysis and Design},
number       = October 2012,

  volume       = 58,

  place        = {United States},

  year         = {Mon Oct 01 00:00:00 EDT 2012},

  month        = {Mon Oct 01 00:00:00 EDT 2012}

}

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