Crack in a solid under Coulomb friction law. (Q1582531)
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scientific article; zbMATH DE number 1516994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Crack in a solid under Coulomb friction law. |
scientific article; zbMATH DE number 1516994 |
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Crack in a solid under Coulomb friction law. (English)
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15 October 2000
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The existence of solutions to the static problem for an elastic body possessing a crack and clamped at its boundary is proved. On the crack faces the non-penetrability of mass is respected and the Coulomb friction is considered. The auxiliary problem with given friction force is employed. The feedback between the given and the resulting friction force is searched by means of the Tikhonov (``second Schauder'') fixed point theorem. This technique requires to have the crack faces sufficiently smooth (a certain partial regularity of the solution to the auxiliary problem is needed) and the coefficient of friction small enough.
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variational and quasi-variational inequalities
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crack
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Coulomb friction
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