Curvature-dependent Eulerian interfaces in elastic solids
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F23%3A00578171" target="_blank" >RIV/67985556:_____/23:00578171 - isvavai.cz</a>
Result on the web
<a href="https://royalsocietypublishing.org/doi/10.1098/rsta.2022.0366" target="_blank" >https://royalsocietypublishing.org/doi/10.1098/rsta.2022.0366</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1098/rsta.2022.0366" target="_blank" >10.1098/rsta.2022.0366</a>
Alternative languages
Result language
angličtina
Original language name
Curvature-dependent Eulerian interfaces in elastic solids
Original language description
We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a fully Eulerian interfacial energy. In order to penalize large curvature of the interface, we include a geometric term featuring a curvature varifold. Equilibrium solutions are proved to exist via minimization. We then use this model in an Eulerian topology optimization problem that incorporates a curvature penalization.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GF21-06569K" target="_blank" >GF21-06569K: Scales and shapes in continuum thermomechanics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences
ISSN
1364-503X
e-ISSN
1471-2962
Volume of the periodical
381
Issue of the periodical within the volume
2263
Country of publishing house
GB - UNITED KINGDOM
Number of pages
14
Pages from-to
20220366
UT code for WoS article
001103543200005
EID of the result in the Scopus database
2-s2.0-85176354144