Abstract
We obtain a measure representation for a functional arising in the context of optimal design problems under linear growth conditions. The functional in question corresponds to the relaxation with respect to a pair
$(\chi,u)$
, where
$\chi$
is the characteristic function of a set of finite perimeter and
$u$
is a function of bounded deformation, of an energy with a bulk term depending on the symmetrized gradient as well as a perimeter term.
Publisher
Cambridge University Press (CUP)
Reference52 articles.
1. Optimal design and relaxation of variational problems, II
2. Relaxation of certain integral functionals depending on strain and chemical composition
3. A note on the integral representation of functionals in the space $SBD(\Omega )$;Ebobisse;Rend. Mat. Ser. VII,2003
4. Sur un nouveau cadre fonctionnel pour les équations de la plasticité;Suquet;C. R. Acad. Sci. Paris Sér. A-B,1978
5. A relaxation theorem in the space of functions of bounded deformation;Barroso;Ann. Sc. Norm. Super. Pisa Cl. Sci,2000
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献