The generalized Hashin–Shtrikman approach to Al/nano-TiC composite
Authors:
- Andrej Cherkaev,
- Vladimir Mityushev,
- Natalia Rylko,
- Pawel Kurtyka
Abstract
The Hashin–Shtrikman approach is generalized and applied to a class of two-phase two-dimensional random macroscopically isotropic composites. The classic theory of the coated Hashin–Shtrikman assemblage (HSA) is extended to inhomogeneous complicated geometric structures. The first model is developed to the inhomogeneous core. The second model is constructed by introduction of the coating envelope considered as an HSA in another scale. The simulation explicitly demonstrates the dependence of the macroscopic properties of nanocomposites manufactured by Self-Propagating High-Temperature Synthesis in Bath on their geometrical structure. The models can be applied to optimal design problems to control the composite crystallization and solidification process by adding the moderator.
- Record ID
- CUT7b5f9db76fe14fe7bd0435d042628cd8
- Publication categories
- ;
- Author
- Journal series
- Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, ISSN 1364-5021, e-ISSN 1471-2946
- Issue year
- 2022
- Vol
- 478
- No
- 2263
- Pages
- [1-10]
- Article number
- 20220164
- Other elements of collation
- fot.; rys.; wykr.; Bibliografia (na s.) - 9-10; Bibliografia (liczba pozycji) - 17; Oznaczenie streszczenia - Streszcz. ang.; Numeracja w czasopiśmie - Vol. 478, Iss. 2263
- Substantive notes
- Supplemental Material dostępny online: https://royalsocietypublishing.org/doi/suppl/10.1098/rspa.2022.0164
- Keywords in English
- classic theory of the coated Hashin–Shtrikman assemblage, optimal design problems, inhomogeneous geometric structures, mathematical modelling and simulations, effective conductivity, composite structures, nano composites
- ASJC Classification
- ; ;
- DOI
- DOI:10.1098/rspa.2022.0164 Opening in a new tab
- URL
- https://royalsocietypublishing.org/doi/abs/10.1098/rspa.2022.0164 Opening in a new tab
- Related project
- Kompozyty odlewane in-situ wzmacniane nanocząstkami faz ceramicznych. . Project leader at PK: , ,
- Language
- eng (en) English
- Score (nominal)
- 100
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT7b5f9db76fe14fe7bd0435d042628cd8/
- URN
urn:pkr-prod:CUT7b5f9db76fe14fe7bd0435d042628cd8
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.