Emergence of elastostatic strain-gradient effects from topological optimization

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00570775" target="_blank" >RIV/67985840:_____/23:00570775 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.euromechsol.2023.104979" target="_blank" >https://doi.org/10.1016/j.euromechsol.2023.104979</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.euromechsol.2023.104979" target="_blank" >10.1016/j.euromechsol.2023.104979</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Emergence of elastostatic strain-gradient effects from topological optimization

Popis výsledku v původním jazyce

There are very few examples of architectured materials producing significant strain-gradient effects in elastostatics. In the present paper, we generate for the first time new microstructures featuring these effects from topological optimization of two-dimensional periodic media. The optimized shape functionals depend on the first and second-order homogenized tensors, obtained from a two-scale asymptotic expansion homogenization scheme. The optimization method applied here relies on the recently rigorously derived topological derivative of the second-order homogenized tensor, measuring the strain-gradient sensitivity with respect to a small circular inclusion at the microscopic level endowed with different material property from the background. This previous theoretical work allows an accurate numerical implementation.

Název v anglickém jazyce

Emergence of elastostatic strain-gradient effects from topological optimization

Popis výsledku anglicky

There are very few examples of architectured materials producing significant strain-gradient effects in elastostatics. In the present paper, we generate for the first time new microstructures featuring these effects from topological optimization of two-dimensional periodic media. The optimized shape functionals depend on the first and second-order homogenized tensors, obtained from a two-scale asymptotic expansion homogenization scheme. The optimization method applied here relies on the recently rigorously derived topological derivative of the second-order homogenized tensor, measuring the strain-gradient sensitivity with respect to a small circular inclusion at the microscopic level endowed with different material property from the background. This previous theoretical work allows an accurate numerical implementation.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure 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

European Journal of Mechanics A-Solids

ISSN

0997-7538

e-ISSN

1873-7285

Svazek periodika

100

Číslo periodika v rámci svazku

July-August

Stát vydavatele periodika

FR - Francouzská republika

Počet stran výsledku

16

Strana od-do

104979

Kód UT WoS článku

001056368500001

EID výsledku v databázi Scopus

2-s2.0-85150339794