The edge smoothed finite element for multiscale homogenization

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F23%3A00011498" target="_blank" >RIV/46747885:24220/23:00011498 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0955799723003983?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0955799723003983?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.enganabound.2023.07.043" target="_blank" >10.1016/j.enganabound.2023.07.043</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The edge smoothed finite element for multiscale homogenization

Popis výsledku v původním jazyce

Computational homogenization provides an effective method for the design of material microstructures and the exploration of new materials with superior performances. Nevertheless, the homogenization method often relies on finite element (FE) discretization, which may act as a computational constriction in terms of its efficiency and accuracy. The smoothed FE variant exhibits attractive mathematical/numerical properties, which are further explored in this study. We combined edge-smoothed finite elements with periodic boundary conditions treated via the Nitsche and mortar methods on a non-matching boundary mesh aimed at improving the estimation of the homogenized elasticity properties. The convergence and size effect benchmarks revealed that the smoothed finite element method provides for greater accuracy and efficiency than does regular FE.

Název v anglickém jazyce

The edge smoothed finite element for multiscale homogenization

Popis výsledku anglicky

Computational homogenization provides an effective method for the design of material microstructures and the exploration of new materials with superior performances. Nevertheless, the homogenization method often relies on finite element (FE) discretization, which may act as a computational constriction in terms of its efficiency and accuracy. The smoothed FE variant exhibits attractive mathematical/numerical properties, which are further explored in this study. We combined edge-smoothed finite elements with periodic boundary conditions treated via the Nitsche and mortar methods on a non-matching boundary mesh aimed at improving the estimation of the homogenized elasticity properties. The convergence and size effect benchmarks revealed that the smoothed finite element method provides for greater accuracy and efficiency than does regular FE.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Engineering Analysis with Boundary Elements

ISSN

0955-7997

e-ISSN

—

Svazek periodika

156

Číslo periodika v rámci svazku

NOV

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

8

Strana od-do

70-77

Kód UT WoS článku

001059160400001

EID výsledku v databázi Scopus

2-s2.0-85167455347