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Coupled Systems Mechanics
  Volume 10, Number 3, June 2021, pages 229-246
DOI: https://doi.org/10.12989/csm.2021.10.3.229
 
open access

Notable highlights on locking-free techniques of Reissner-Mindlin plate finite elements in elastostatics
Cong-Uy Nguyen, Jean-Louis Batoz and Adnan Ibrahimbegovic

 
Abstract
    In this paper, we discuss about the notable locking-free techniques of several simple plate bending finite elements for the Reissner-Mindlin plate bending theory. The brief background for Reissner-Mindlin plate theory is presented, in which stress and strain derivation are given along with one-field and two-field variational approaches. Afterwards, we classify several efficient robust techniques in a cluster of main categories to present sequentially, which are all able to overcome the locking phenomenon in thick plate bending problems. Only selective algorithms are programmed to conduct numerical simulations. The corresponding results are compared between these elements to show their performances.
 
Key Words
    Reissner-Mindlin plate theory; locking-free techniques; simple and efficient algorithms
 
Address
Cong-Uy Nguyen: Centre de Recherche Royallieu, Universite de Technologie de Compiegne/ Alliance Sorbonne Universite,
60200 Compiegne, France; Institut for Wissenschaftliches Rechnen, Technische Universitat Braunschweig, 38106 Braunschweig, Germany
Jean-Louis Batoz, Adnan Ibrahimbegovic: Centre de Recherche Royallieu, Universite de Technologie de Compiegne/ Alliance Sorbonne Universite, 60200 Compiegne, France
 

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