Numerical solution of an equilibrium problem for a membrane with a delaminated thin rigid inclusion

Numerical solution of an equilibrium problem for a membrane with a delaminated thin rigid inclusion Full article

Journal

Journal of Physics: Conference Series
ISSN: 1742-6588

Output data

Year: 2016, Volume: 722, Number: 1, Article number : 012033, Pages count : DOI: 10.1088/1742-6596/722/1/012033

Authors

Rudoy E.M. ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

The paper deals with the numerical solution of an equilibrium problem for an elastic membrane with a thin rigid inclusion. The thin inclusion is supposed to delaminate, therefore a crack between the inclusion and the membrane is considered. The boundary conditions for nonpenetration of the crack faces are fulfilled. We provide the relaxation of the problem and propose an iterative method for the numerical solution of the approximated problem. The method is based on a domain decomposition and the Uzawa algorithm for finding a saddle point of the Lagrangian. Examples of the numerical solution of the initial problem are presented.

Rudoy E.M.
Numerical solution of an equilibrium problem for a membrane with a delaminated thin rigid inclusion
Journal of Physics: Conference Series. 2016. V.722. N1. 012033 . DOI: 10.1088/1742-6596/722/1/012033 Scopus РИНЦ OpenAlex

Scopus:	2-s2.0-84979243032
Elibrary:	27093661
OpenAlex:	W2431452383

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