Detail publikace

Hellinger-Reissner variational principle based quadrilateral finite element

STŘEDULOVÁ, M. ELIÁŠ, J.

Originální název

Hellinger-Reissner variational principle based quadrilateral finite element

Typ

článek ve sborníku mimo WoS a Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

STŘEDULOVÁ, M.; ELIÁŠ, J.

Vydáno

27. 1. 2022

Nakladatel

ECON publishing, s. r. o.

Místo

Brno

ISBN

978-80-86433-76-9

Kniha

JUNIORSTAV 2022 24. odborná konference oktorského studia

Strany od

341

Strany do

346

Strany počet

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"
}