Pregled bibliografske jedinice broj: 1094704
On the effective properties of composite elastic plate
On the effective properties of composite elastic plate // Journal of mathematical analysis and applications, 495 (2020), 1; 124696, 34 doi:10.1016/j.jmaa.2020.124696 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1094704 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the effective properties of composite elastic
plate
Autori
Burazin, Krešimir ; Jankov, Jelena
Izvornik
Journal of mathematical analysis and applications (0022-247X) 495
(2020), 1;
124696, 34
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Kirchhoff-Love model of elastic plate ; composite material ; G-closure ; Hashin-Shtrikman bounds ; laminated material
Sažetak
We consider the fourth-order elliptic equation describing the Kirchhoff-Love model for pure bending of a thin solid symmetric plate under a transverse load. Following the results of Antonić and Balenović (1999, 2000), and Burazin, Jankov and Vrdoljak (2018), we show the local character of the set of all possible composites, also called the G-closure, and prove that the set of composites obtained by periodic homogenization is dense in that set. Moreover, we derive expressions for elastic coefficients of composite plate obtained by mixing two materials in thin layers, also known as laminated materials, and for mixing two materials in the low-contrast regime. Additionally, we derive optimal bounds on the effective energy of a composite material, known as Hashin-Shtrikman bounds. In the setting of two- phase isotropic materials in dimension d =2, explicit optimal Hashin-Shtrikman bounds are calculated.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-8904 - Homogenizacija, redukcija dimenzije i strukturalna optimizacija u mehanici kontinuuma (Homdirestroptcm) (Velčić, Igor, HRZZ ) ( CroRIS)
Ustanove:
Sveučilište u Osijeku, Odjel za matematiku
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI