Leugering, Günter ; Sokołowski, Jan ; Żochowski, Antoni
Raport Badawczy = Research Report ; RB/22/2013
Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
33 pages ; 21 cm ; Bibliography p. 32-33
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.
Raport Badawczy = Research Report
Creative Commons Attribution BY 4.0 license
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Systems Research Institute of the Polish Academy of Sciences
Library of Systems Research Institute PAS
Oct 19, 2021
Oct 28, 2020
101
https://rcin.org.pl./publication/180395
Marczewska, Izabela Karolina
Novotny, Antonio Szulc, Katarzyna Żochowski, Antoni
Sokołowski, Jan (1899–1982)
Sokołowski, Jan Żochowski, Antoni
Sokołowski, Jan Żochowski, Antoni
Sokołowski, Jan (matematyka). Autor Żochowski, Antoni. Autor
Kaźmierczak, Anna Sokołowski, Jan Żochowski, Antoni