Publication detail

Hellinger-Reissner variational principle based quadrilateral finite element

STŘEDULOVÁ, M. ELIÁŠ, J.

Original Title

Hellinger-Reissner variational principle based quadrilateral finite element

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

The Finite Element Method is without a doubt one of the most prominent tools in solving the equations governing mechanics of solids. It is an approximative method and, as such, its performance largely depends on the definition of the finite element used in a computation. The simplest elements, based on one primary field, tend to suffer from “locking”, that is excessive stiffness when an element is subjected to bending or the material is nearing the limit of incompressibility. One of the alternatives is the use of an element based on multiple primary fields. The present article aims to describe one such element (based on mixed-field Hellinger-Reissner variational principle) and analyze its robustness in comparison to other methods which were used in the past to mitigate locking. The analysis will be done in the framework of linear elastostatics.

Keywords

Finite Element Method, linear elasticity, Hellinger-Reissner variational principle, locking

Authors

STŘEDULOVÁ, M.; ELIÁŠ, J.

Released

27. 1. 2022

Publisher

ECON publishing, s. r. o.

Location

Brno

ISBN

978-80-86433-76-9

Book

JUNIORSTAV 2022 24. odborná konference oktorského studia

Pages from

341

Pages to

346

Pages count

6

URL

https://juniorstav.fce.vutbr.cz/wp-content/uploads/sites/22/files/Sbornik_Juniorstav_2022.pdf

BibTex

@inproceedings{BUT181666,
  author="Monika {Středulová} and Jan {Eliáš}",
  title="Hellinger-Reissner variational principle based quadrilateral finite element",
  booktitle="JUNIORSTAV 2022 24. odborná konference oktorského studia",
  year="2022",
  pages="341--346",
  publisher="ECON publishing, s. r. o.",
  address="Brno",
  isbn="978-80-86433-76-9",
  url="https://juniorstav.fce.vutbr.cz/wp-content/uploads/sites/22/files/Sbornik_Juniorstav_2022.pdf"
}