A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F24%3A00597745" target="_blank" >RIV/61388998:_____/24:00597745 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/71226401:_____/24:N0100986

Výsledek na webu

<a href="https://kirj.ee/proceedings-of-the-estonian-academy-of-sciences-publications/?filter%5Byear%5D=2024&filter%5Bissue%5D=1802&filter%5Bpublication%5D=16376&v=928568b84963" target="_blank" >https://kirj.ee/proceedings-of-the-estonian-academy-of-sciences-publications/?filter%5Byear%5D=2024&filter%5Bissue%5D=1802&filter%5Bpublication%5D=16376&v=928568b84963</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3176/proc.2024.3.11" target="_blank" >10.3176/proc.2024.3.11</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems

Popis výsledku v původním jazyce

The dispersion behaviour of the finite element method, applied to the treatment of stress wave propagation tasks in an elastic solid continuum, is reviewed and complemented with the authors’ contributions in the field, along with substantial details of finite element technology. It is shown how finite element dispersion disqualifies to a certain extent the stress wave propagation modelling and, as such, cannot be completely eradicated. The paper, however, reveals the ways how the dispersion effect (actually, modelling errors) could be minimized. The effects of spatial and temporal dispersions of the finite element method are treated. 1D and 2D linear and quadratic finite elements and their suitability are analysed for use with implicit and explicit integration methods. Historical as well as new, up-to-date approaches are also reviewed. The paper closes with recommendations for values of mesh size and timestep size, mass matrices and direct time integrations with respect to dispersion errors in finite element modelling of elastic wave propagation problems in solids.

Název v anglickém jazyce

A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems

Popis výsledku anglicky

The dispersion behaviour of the finite element method, applied to the treatment of stress wave propagation tasks in an elastic solid continuum, is reviewed and complemented with the authors’ contributions in the field, along with substantial details of finite element technology. It is shown how finite element dispersion disqualifies to a certain extent the stress wave propagation modelling and, as such, cannot be completely eradicated. The paper, however, reveals the ways how the dispersion effect (actually, modelling errors) could be minimized. The effects of spatial and temporal dispersions of the finite element method are treated. 1D and 2D linear and quadratic finite elements and their suitability are analysed for use with implicit and explicit integration methods. Historical as well as new, up-to-date approaches are also reviewed. The paper closes with recommendations for values of mesh size and timestep size, mass matrices and direct time integrations with respect to dispersion errors in finite element modelling of elastic wave propagation problems in solids.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GC23-04676J" target="_blank" >GC23-04676J: Řiditelná úchopová mechanika: Modelování, řízení a experimenty</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Proceedings of the Estonian Academy of Sciences

ISSN

1736-6046

e-ISSN

1736-7530

Svazek periodika

73

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

EE - Estonská republika

Počet stran výsledku

38

Strana od-do

279-316

Kód UT WoS článku

001294430900002

EID výsledku v databázi Scopus

2-s2.0-85205133427