Naslov
Optimal microstructures for relaxed two-well energy

Autori
Antonić, Nenad ; Vrdoljak, Marko

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

Izvornik
2nd Croatian congress of mathematics / Šikić, Hrvoje i dr. - Zagreb, 2000, 75-75

Skup
2nd Croatian congress of mathematics

Mjesto i datum
Zagreb, Hrvatska, 15.07.2000. - 17.07.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
relaxation; homogenisation; microstructure; laminate

Sažetak
The relaxation of two-well energy associated to a system of two linearly elastic phases with different stress-free strains and different (well-ordered) elastic moduli is considered. We obtain a formula expressing this relaxation in terms of a finite-dimensional minimisation. For the isotropic materials in two dimensions it is possible to obtain more information on the minimising microstructure. If the misfit strain is dilational the optimal microstructure is a rank-one laminate, while the case of tetragonal misfit is more complex: the minimum is obtained either with rank-one or rank-two laminate. The description of minimising microstructures in terms of H-measures will be given as well.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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