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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" }