Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions

Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374

Output data

Year: 2015, Volume: 211, Number: 6, Pages: 847-862 Pages count : 16 DOI: 10.1007/s10958-015-2639-3

Authors

Rudoy E.M. ^1,2

Affiliations

1	Lavrent’ev Institute of Hydrodynamics, SB RAS 15, pr. Akad. Lavrent’eva, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 2, ul. Pirogova, Novosibirsk, 630090, Russian Federation

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. © 2015, Springer Science+Business Media New York.

Rudoy E.M.
Shape Sensitivity Analysis of Equilibrium Problem for Bodies with Thin Rigid Inclusions
Journal of Mathematical Sciences (United States). 2015. V.211. N6. P.847-862. DOI: 10.1007/s10958-015-2639-3 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-84956749039
Elibrary:	26891688
OpenAlex:	W2256471458

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