B-spline based finite element method in one-dimensional discontinuous elastic wave propagation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F17%3A00473856" target="_blank" >RIV/61388998:_____/17:00473856 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/44555601:13420/17:43893424

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.apm.2017.01.077" target="_blank" >http://dx.doi.org/10.1016/j.apm.2017.01.077</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2017.01.077" target="_blank" >10.1016/j.apm.2017.01.077</a>

Jazyk výsledku

angličtina

Název v původním jazyce

B-spline based finite element method in one-dimensional discontinuous elastic wave propagation

Popis výsledku v původním jazyce

The B-spline variant of the finite element method (FEM) is tested in one-dimensional discontinuous elastic wave propagation. The B-spline based FEM (called Isogeometric analysis IGA) uses spline functions as testing and shape functions in the Galerkin continuous content. Here, the accuracy of stress distribution and spurious oscillations of the B-spline based FEM are studied in numerical modeling of one-dimensional propagation of stress discontinuities in a bar, where the analytical solution is known. For time integration, the Newmark method, implicit form of the generalized-α method, the central difference method and the predictor/multi-corrector method are tested and compared. The use of lumped and consistent mass matrices in explicit time integration is discussed. Due to accuracy, the consistent mass matrix is preferred in explicit time integration in IGA.

Název v anglickém jazyce

B-spline based finite element method in one-dimensional discontinuous elastic wave propagation

Popis výsledku anglicky

The B-spline variant of the finite element method (FEM) is tested in one-dimensional discontinuous elastic wave propagation. The B-spline based FEM (called Isogeometric analysis IGA) uses spline functions as testing and shape functions in the Galerkin continuous content. Here, the accuracy of stress distribution and spurious oscillations of the B-spline based FEM are studied in numerical modeling of one-dimensional propagation of stress discontinuities in a bar, where the analytical solution is known. For time integration, the Newmark method, implicit form of the generalized-α method, the central difference method and the predictor/multi-corrector method are tested and compared. The use of lumped and consistent mass matrices in explicit time integration is discussed. Due to accuracy, the consistent mass matrix is preferred in explicit time integration in IGA.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10307 - Acoustics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematical Modelling

ISSN

0307-904X

e-ISSN

—

Svazek periodika

46

Číslo periodika v rámci svazku

June

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

14

Strana od-do

382-395

Kód UT WoS článku

000403742000024

EID výsledku v databázi Scopus

2-s2.0-85020014330