Comparison of current methods for implementing periodic boundary conditions in multi-scale homogenisation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F19%3A00007252" target="_blank" >RIV/46747885:24220/19:00007252 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/46747885:24410/19:00007252

Výsledek na webu

<a href="https://reader.elsevier.com/reader/sd/pii/S0997753818308453?token=4E91ED155030D02D4A4543D5CC6885D514C8A6FDD4A05B4AFE0E53599F0D43F9FC37819A6D8AB16802BB57C11E944C79" target="_blank" >https://reader.elsevier.com/reader/sd/pii/S0997753818308453?token=4E91ED155030D02D4A4543D5CC6885D514C8A6FDD4A05B4AFE0E53599F0D43F9FC37819A6D8AB16802BB57C11E944C79</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.euromechsol.2019.103825" target="_blank" >10.1016/j.euromechsol.2019.103825</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Comparison of current methods for implementing periodic boundary conditions in multi-scale homogenisation

Popis výsledku v původním jazyce

Correctly representing the micro-scale model boundaries is fundamental to the performance and accuracy of multi-scale homogenisation. Although enforcing periodic boundary conditions is known to lead to more effective property approximation in comparison with that achieved with kinematic/uniform force boundary conditions, implementing them imposes restrictions on the mesh generation process and makes the process of solving the underlying variational problem more complicated. This study reviews the current implementation methods, which employ meshless and finite element approaches to maintain field periodicity. Finally, we propose a new method based on Nitsche's weak formulation and compare it with other state-of-the-art techniques. The results of several benchmarks demonstrate that all tested methods are highly robust and accurate, with minor method-specific issues.

Název v anglickém jazyce

Comparison of current methods for implementing periodic boundary conditions in multi-scale homogenisation

Popis výsledku anglicky

Correctly representing the micro-scale model boundaries is fundamental to the performance and accuracy of multi-scale homogenisation. Although enforcing periodic boundary conditions is known to lead to more effective property approximation in comparison with that achieved with kinematic/uniform force boundary conditions, implementing them imposes restrictions on the mesh generation process and makes the process of solving the underlying variational problem more complicated. This study reviews the current implementation methods, which employ meshless and finite element approaches to maintain field periodicity. Finally, we propose a new method based on Nitsche's weak formulation and compare it with other state-of-the-art techniques. The results of several benchmarks demonstrate that all tested methods are highly robust and accurate, with minor method-specific issues.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20505 - Composites (including laminates, reinforced plastics, cermets, combined natural and synthetic fibre fabrics; filled composites)

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

European Journal of Mechanics-A/Solids

ISSN

0997-7538

e-ISSN

—

Svazek periodika

78

Číslo periodika v rámci svazku

November-December 2019

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

—

Kód UT WoS článku

000494888000003

EID výsledku v databázi Scopus

2-s2.0-85073649075