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Shape optimization in contact problems with friction
Pathó, Róbert ; Haslinger, Jaroslav (advisor) ; Knobloch, Petr (referee)
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.
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Shape optimization in contact problems with friction
Pathó, Róbert ; Knobloch, Petr (referee) ; Haslinger, Jaroslav (advisor)
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.
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