Naslov
On Hashin-Shtrikman bounds for mixtures of two isotropic materials

Autori
Vrdoljak, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Multiscale problems in science and technology ; Chalenges to mathematical analysis and perspectives 2 / Antonić, Nenad ; van Duijn, C.J. ; Jäger, Willi ; Marušić-Paloka, Eduard ; Mikelić, Andro - Zagreb, 2007, 57-57

Skup
Multiscale problems in science and technology ; Chalenges to mathematical analysis and perspectives 2

Mjesto i datum
Dubrovnik, Hrvatska, 01.10.2007. - 06.10.2007

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Hashin-Shtrikman bounds; stationary diffusion

Sažetak
We calculate explicitly optimal microstructure for Hashin-Shtrikman energy bounds for three dimensional mixtures of two isotropic phases with prescribed ratio. This is done in a more general setting which has important applications in studying optimal design problems with multiple state equations for stationary diffusion. More precisely, the necessary condition of optimality leads to finite dimensional optimisation problem which extends problem of Hashin-Shtrikman bounds. Explicit formula for its optimal point has important applications in optimality criteria method for numerical solution of optimal design problem.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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