Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces
We consider an equilibrium problem for an elastic body with a crack, on the faces of which unilateral non-penetration conditions and Coulomb friction are realized. This problem can be formulated as quasi-variational inequality. To solve it, the successive approximation method is applied. On each out...
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De Gruyter
2020-08-01
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| Series: | Open Computer Science |
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| Online Access: | https://doi.org/10.1515/comp-2020-0147 |
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doaj-5a1109852b4e4c838adfcf2bcf57e07d2021-09-06T19:19:43ZengDe GruyterOpen Computer Science2299-10932020-08-0110127628210.1515/comp-2020-0147comp-2020-0147Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack facesNamm Robert V.0Tsoy Georgiy I.1Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, RussiaComputing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, RussiaWe consider an equilibrium problem for an elastic body with a crack, on the faces of which unilateral non-penetration conditions and Coulomb friction are realized. This problem can be formulated as quasi-variational inequality. To solve it, the successive approximation method is applied. On each outer step of this method, we solve an auxiliary problem with given friction. We solve the auxiliary problem by using modified Lagrange functionals. Numerical results are presented.https://doi.org/10.1515/comp-2020-0147elastic crack problemduality schemelagrange functionaluzawa methodquasi-variational inequality |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Namm Robert V. Tsoy Georgiy I. |
| spellingShingle |
Namm Robert V. Tsoy Georgiy I. Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces Open Computer Science elastic crack problem duality scheme lagrange functional uzawa method quasi-variational inequality |
| author_facet |
Namm Robert V. Tsoy Georgiy I. |
| author_sort |
Namm Robert V. |
| title |
Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces |
| title_short |
Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces |
| title_full |
Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces |
| title_fullStr |
Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces |
| title_full_unstemmed |
Modified duality methods for solving an elastic crack problem with Coulomb friction on the crack faces |
| title_sort |
modified duality methods for solving an elastic crack problem with coulomb friction on the crack faces |
| publisher |
De Gruyter |
| series |
Open Computer Science |
| issn |
2299-1093 |
| publishDate |
2020-08-01 |
| description |
We consider an equilibrium problem for an elastic body with a crack, on the faces of which unilateral non-penetration conditions and Coulomb friction are realized. This problem can be formulated as quasi-variational inequality. To solve it, the successive approximation method is applied. On each outer step of this method, we solve an auxiliary problem with given friction. We solve the auxiliary problem by using modified Lagrange functionals. Numerical results are presented. |
| topic |
elastic crack problem duality scheme lagrange functional uzawa method quasi-variational inequality |
| url |
https://doi.org/10.1515/comp-2020-0147 |
| work_keys_str_mv |
AT nammrobertv modifieddualitymethodsforsolvinganelasticcrackproblemwithcoulombfrictiononthecrackfaces AT tsoygeorgiyi modifieddualitymethodsforsolvinganelasticcrackproblemwithcoulombfrictiononthecrackfaces |
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1717777943235657728 |