Naslov
Relaxation of multi-well energies in linearised elasticity

Autori
Balenović, Neven

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

Izvornik
Proceedings of Conference on Multiscale Problems in Science and Technology 2000 / - New York (NY) : Springer, 2001

Skup
Multiscale Problems in Science and Technology

Mjesto i datum
Dubrovnik, Hrvatska, 03.09.2000. - 10.09.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
multi-well energy functional; relaxation; H-measures

Sažetak
We study the relaxation of multy-well non-convex energy functionals in the context of linearised elasticity. These functionals are known to be lacking minimisers in the usual sense, due to the fact that minimising sequences tend to oscillate rapidly aiming to satisfy imposed restrictions, thus exhibiting microstructures. One of mathematical tools known to be able to give some information on microstructures are H-measures (L.Tartar 1990 and independently P.Gerard 1991). Following the ideas of Kohn, Ball & James and Tartar, we deploy the pseudodifferential calculus in order to express the relaxed functional in the terms of minimisation with respect to H-measures.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA