Tvarová optimalizace v kontaktních úlohách se třením
In the present work we formulate a shape optimization problem for the 2D Signorini problem with given friction and a coefficient of friction which depends on the solution. The aim is to find an optimal contact part of an elastic body. A suitable set of admissible domains is given, among which the ex...
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| Format: | Dissertation |
| Language: | Czech |
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2009
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| Online Access: | http://www.nusl.cz/ntk/nusl-282619 |
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ndltd-nusl.cz-oai-invenio.nusl.cz-282619 |
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ndltd-nusl.cz-oai-invenio.nusl.cz-2826192017-06-27T04:40:58Z Tvarová optimalizace v kontaktních úlohách se třením Shape optimization in contact problems with friction Knobloch, Petr Pathó, Róbert Haslinger, Jaroslav In the present work we formulate a shape optimization problem for the 2D Signorini problem with given friction and a coefficient of friction which depends on the solution. The aim is to find an optimal contact part of an elastic body. A suitable set of admissible domains is given, among which the existence of an optimal one is established for a large class of cost functionals. The shape optimization problem is then approximated. Existence of discrete optimal shapes is proven and convergence analysis is done. 2009 info:eu-repo/semantics/masterThesis http://www.nusl.cz/ntk/nusl-282619 cze info:eu-repo/semantics/restrictedAccess |
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NDLTD |
| language |
Czech |
| format |
Dissertation |
| sources |
NDLTD |
| description |
In the present work we formulate a shape optimization problem for the 2D Signorini problem with given friction and a coefficient of friction which depends on the solution. The aim is to find an optimal contact part of an elastic body. A suitable set of admissible domains is given, among which the existence of an optimal one is established for a large class of cost functionals. The shape optimization problem is then approximated. Existence of discrete optimal shapes is proven and convergence analysis is done. |
| author2 |
Knobloch, Petr |
| author_facet |
Knobloch, Petr Pathó, Róbert |
| author |
Pathó, Róbert |
| spellingShingle |
Pathó, Róbert Tvarová optimalizace v kontaktních úlohách se třením |
| author_sort |
Pathó, Róbert |
| title |
Tvarová optimalizace v kontaktních úlohách se třením |
| title_short |
Tvarová optimalizace v kontaktních úlohách se třením |
| title_full |
Tvarová optimalizace v kontaktních úlohách se třením |
| title_fullStr |
Tvarová optimalizace v kontaktních úlohách se třením |
| title_full_unstemmed |
Tvarová optimalizace v kontaktních úlohách se třením |
| title_sort |
tvarová optimalizace v kontaktních úlohách se třením |
| publishDate |
2009 |
| url |
http://www.nusl.cz/ntk/nusl-282619 |
| work_keys_str_mv |
AT pathorobert tvarovaoptimalizacevkontaktnichulohachsetrenim AT pathorobert shapeoptimizationincontactproblemswithfriction |
| _version_ |
1718469174624256000 |