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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
Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Systems Research Institute of the Polish Academy of Sciences
Library of Systems Research Institute PAS
Oct 19, 2021
Oct 28, 2020
109
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