caa a22 4500 605523096 CHVBK 20210128100748.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10958-015-2639-3 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2639-3 Rudoy E. Lavrent'ev Institute of Hydrodynamics, SB RAS 15, pr. Akad. Lavrent'eva, 630090, Novosibirsk, Russia aut Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions [Elektronische Daten] [E. Rudoy] We consider the equilibrium problem for elastic bodies with thin rigid inclusions under the action of external forces. It is assumed that there is a delamination crack in the domain and linear boundary conditions are imposed on the crack faces. We study the dependence of the solution on perturbations of the domain shape. We calculate the material derivative of the solution with respect to the shape perturbation parameter. To illustrate the obtained result, we compute the derivative of the energy functional with respect to the domain shape and write a necessary condition for the problem of optimization of the length of a rigid inclusion. We derive a differential equation and bounded conditions for the derivative of the solution with respect to the length of the rigid inclusion. Bibliography: 14 titles. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/6(2015-12-01), 847-862 1072-3374 211:6<847 2015 211 10958 https://doi.org/10.1007/s10958-015-2639-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2639-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rudoy E. Lavrent'ev Institute of Hydrodynamics, SB RAS 15, pr. Akad. Lavrent'eva, 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 211/6(2015-12-01), 847-862 1072-3374 211:6<847 2015 211 10958