Title:

Shape-topological differentiability of energy functionals for unilateral problems in domains with cracks and applications

Subtitle:

Raport Badawczy = Research Report ; RB/22/2013

Creator:

Leugering, Günter ; Sokołowski, Jan ; Żochowski, Antoni

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2013

Description:

33 pages ; 21 cm ; Bibliography p. 32-33

Subject and Keywords:

Topology ; Topologia ; Funkcja griffitha ; Griffith function

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.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2013-22

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

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: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open