Emergence of elastostatic strain-gradient effects from topological optimization

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Emergence of elastostatic strain-gradient effects from topological optimization
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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