@misc{Leugering_Günter_Shape-topological_2013,
 author={Leugering, Günter and Sokołowski, Jan and Żochowski, Antoni},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2013},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={A review of results on first order shape-topological differentiability of energy functionals for a class of variational inequalities of elliptic type is presented. The Griffith shape functional was introduced as the distributed shape derivative of the elastic energy evaluated in a domain with a crack, with respect to the crack length. The dependence of this functional on domain perturbation far from rupture was investigated. As a result, the directional shape and topological derivatives of the nonsmooth Griffith shape functional are obtained with respect to boundary variations of an inclusion.},
 title={Shape-topological differentiability of energy functionals for unilateral problems in domains with cracks and applications},
 type={Text},
 URL={http://www.rcin.org.pl/Content/144804/PDF/RB-2013-22.pdf},
 keywords={Topology, Topologia, Funkcja griffitha, Griffith function},
}