Geodesic
Domain decomposition method for a membrane with a delaminated thin rigid inclusion
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 395-410

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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.
Keywords: crack, thin rigid inclusion, nonpenetration condition, variational inequality, Uzawa algorithm.
Mots-clés : domain decomposition method 
@article{SEMR_2016_13_a73,
     author = {E. M. Rudoy and V. V. Shcherbakov},
     title = {Domain decomposition method for a membrane with a delaminated thin rigid inclusion},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {395--410},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a73/}
}
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E. M. Rudoy; V. V. Shcherbakov. Domain decomposition method for a membrane with a delaminated thin rigid inclusion. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 395-410. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a73/