An isogeometric extension of Trefftz method for elastostatics in two dimensions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F18%3A00323509" target="_blank" >RIV/68407700:21110/18:00323509 - isvavai.cz</a>

Výsledek na webu

<a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5783" target="_blank" >https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5783</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nme.5783" target="_blank" >10.1002/nme.5783</a>

Jazyk výsledku

angličtina

Název v původním jazyce

An isogeometric extension of Trefftz method for elastostatics in two dimensions

Popis výsledku v původním jazyce

In this paper, an approach to blend the Hybrid-Trefftz Finite Element Method (HTFEM) and the Isogeometric Analysis (IGA) called the Isogeometric Trefftz (IGAT) method is presented. The structure of the isogeometric extension of the Trefftz method is formally the same as for its conventional counterpart, except the approximation of the boundary displacements and geometry that are carried out using the Non-Uniform Rational B-Splines (NURBS) instead of polynomials. In other words, only the element boundaries are approximated using NURBS basis while the Trefftz approximation is used in the interior of the elements. For that reason, IGAT can be ranked alongside recently developed Isogeometric Boundary Element Method (IGABEM), the NURBS-Enhanced Finite Element Method (NEFEM), the Isogeometric Local Maximum Entropy (IGA-LME) method, and the Isogeometrically enhanced Scaled-Boundary element method (SBFEM), which all use NURBS approximation at the domain boundary only. Theoretical conjectures made in this paper are accompanied by three examples that show that IGAT leads to excellent results using only a few elements.

Název v anglickém jazyce

An isogeometric extension of Trefftz method for elastostatics in two dimensions

Popis výsledku anglicky

In this paper, an approach to blend the Hybrid-Trefftz Finite Element Method (HTFEM) and the Isogeometric Analysis (IGA) called the Isogeometric Trefftz (IGAT) method is presented. The structure of the isogeometric extension of the Trefftz method is formally the same as for its conventional counterpart, except the approximation of the boundary displacements and geometry that are carried out using the Non-Uniform Rational B-Splines (NURBS) instead of polynomials. In other words, only the element boundaries are approximated using NURBS basis while the Trefftz approximation is used in the interior of the elements. For that reason, IGAT can be ranked alongside recently developed Isogeometric Boundary Element Method (IGABEM), the NURBS-Enhanced Finite Element Method (NEFEM), the Isogeometric Local Maximum Entropy (IGA-LME) method, and the Isogeometrically enhanced Scaled-Boundary element method (SBFEM), which all use NURBS approximation at the domain boundary only. Theoretical conjectures made in this paper are accompanied by three examples that show that IGAT leads to excellent results using only a few elements.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20101 - Civil engineering

Projekt

<a href="/cs/project/GA13-22230S" target="_blank" >GA13-22230S: Hybridní víceúrovňové nástroje modelování heterogenních pevných látek</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal for Numerical Methods in Engineering

ISSN

0029-5981

e-ISSN

1097-0207

Svazek periodika

114

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

15

Strana od-do

1213-1227

Kód UT WoS článku

000433574800004

EID výsledku v databázi Scopus

2-s2.0-85044524087